diff --git "a/data/dm_maths/full_data/1479_11255.jsonl" "b/data/dm_maths/full_data/1479_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1479_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 12:44 AM and 4:47 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -239, -359, -479?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 4*u + 9. Determine w(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 62 = 5*k + l, -2*k - 31 = -5*l. Let n be (1 + k)\/((-22)\/55). Suppose 0 = -3*t - n + 183. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 99127197.\nAnswer: 297381591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:36 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 10*r**2 - 7*r - 13. Let n be f(9). Suppose n*y = 4*y + 7. What is the lowest common multiple of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 17}. Give prob of sequence hoh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 37 = -3*s - 28, 4*b - s - 19 = 0. Let q be 26\/143 + (-46)\/11. Let h be 0*(q\/8)\/(-1). Solve -b*f = -f + 4*r + 21, h = 3*f + 4*r + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/80 and -157\/4752?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = 1. Let p be r\/(-3) + (-21)\/(-9). Calculate the greatest common factor of p and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 7\/2)*-4. Suppose -5*p = 3*w - 33, 2*w - 22 = -0*p - t*p. Let k(m) = -8*m - 7. Let b be k(-5). What is the greatest common divisor of w and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, -1, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -23. Let v = -0.3 + 0.2. Suppose -4 = 2*d, k = -k - d - 6. What is the nearest to v in k, 3, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -213, -228, -267, -342, -465?\n\"Answer: -2*a**3 - a - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 81 = m, 0*u + 5*m = -3*u + 139. Suppose -2*l + 4*i + 32 = -u, 2*i + 6 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**4\/8 - f**3\/3 + 44*f**2. Let v(b) = 21*b + 15. What is 15*p(j) + 2*v(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -3)*(5 - (-16)\/(-6)). Let f be (-39)\/(-12) + 2\/(-8). Let a = f - 1. Put o, -1, a in ascending order.\nAnswer: -1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -18*v**2 + v + 1. Suppose -i = 2 - 1. Let m be r(i). What is the common denominator of -79\/4 and 2 - (-2 - 191\/m)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*(g\/(g*g**(-2\/3)))\/g*(g**2\/g*g)**4)**24 assuming g is positive.\nAnswer: g**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221000 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -271 + 1376\/5. Let p = r - 37\/10. Which is the nearest to -2\/5? (a) 0.3 (b) p (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 15*30\/450.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, l: 3}. What is prob of sequence jlj?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1524 + -2?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 31044?\nAnswer: -31052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let p = -1 + 12. Suppose -8 = -f - m, -2*m - 2 = -2*f - 2*f. Suppose -2*n + 3*i = -p, i = f*n + 2*i. What is a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -218183, -218190, -218201, -218216?\n\"Answer: -2*o**2 - o - 218180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4510 - 13*d + 4510.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -16*y + 50, -3*a + 23723 = a + 2*y + 23707 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -871 + 919.7. Let k = 49.7 - s. Let y(u) = -3*u + 4. Let t be y(4). Which is the closest to t? (a) 3 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1085*p**3 - 281*p**3 - 317*p**3 + 1 - 289*p**3 - 266*p**3 + 6*p + 2*p**2 to the form y + l*p + b*p**2 + s*p**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/(-30)*-8*43\/(2322\/4185).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*g**2 - 16*g - 16\/7.\nAnswer: -4*(7*g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 1337 - 383 = 0. Calculate the common denominator of 62\/63 and (q - 0)*(-5)\/(-94 - -4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(-2*h**2 + 69 - 2*h**2 - 65).\nAnswer: 20*h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59805*a - 19844*a - 127823*a - 19926*a.\nAnswer: -227398*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**6\/540 - p**5\/180 + p**3\/3 + 3*p. Let n(x) be the second derivative of i(x). Factor n(b).\nAnswer: -2*b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25522 (base 9) in base 11?\nAnswer: 11a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28184625 by -17895.\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 36, -1, -3, 3, -2.\nAnswer: -3, -2, -1, 3, 25, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 20*m**2 - m. Let y(g) = 2*g**2 - 6*g**2 - 26 - 34 + 60. Determine y(s(k)).\nAnswer: -1600*k**4 + 160*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57059*j + 57061*j - 114120*j - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -35*j**2 + 1. Let y(a) = -7*a**2. Let o be 1112\/(-1112)*(1 - 12 - 0). Calculate o*y(v) - 2*i(v).\nAnswer: -7*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 3*y - 1. Let i be a(-1). Suppose i*l + 6*c - 69 = 3*c, 4*l + c - 71 = 0. Let n = 18 + 16. What is the remainder when n is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9114355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55487.0000076969 - -55487. What is k rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 1 + (-4 - (2 + 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 2*o)*(-72 + 33188*o**2 - 68 - 62 + 202).\nAnswer: 33188*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -936 less than -939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)*((s**(5\/7)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**8*h)**(1\/3) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492845696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -5 + (-26 - -9) - (76 - 2).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101.2 + -1.4483.\nAnswer: -102.6483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 354923108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(7\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -367403 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021853 times 36.69?\nAnswer: -0.80178657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81 + 161 + 28)*(-3 + 0 + 2*f - 4*f + 2*f - f - 2*f + (2*f + 2 - 2)*(-2 - 2 + 6) + 0*f + 4*f - 2*f - f + f + f) to g + v*f and give g.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-1 + 2))\/(3 - 2). Let h(r) be the second derivative of 4\/9*r**3 + 0 + 1\/6*r**5 - r - 2\/3*r**4 + x*r**2. Find z, given that h(z) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*r + 12 = 5*h - 93*r, 0 = -2*h + 2*r - 12. Solve 430*a - 421*a + 36 = h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8 + 2*s - 136*s**3 + 7*s**3 + 9. Does 14 divide v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.714233885 and 2.576?\nAnswer: 11.138233885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 418*w**2 + 4*w. Let i(f) = -6*f**2. Calculate n(i(y)).\nAnswer: 15048*y**4 - 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4752 = 176*z - 168*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2198 + 15347\/7. Calculate the common denominator of a and 65\/148.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 17*r**2 - 5*r + 74. Let j be y(17). Let x(d) = -d**2 - 12*d - 2. Calculate x(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Let f = 0 + z. Which is the second smallest value? (a) f (b) 2\/9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 16*i**3 + i. Suppose -7*c - 2*c = -297. Calculate the remainder when c is divided by w(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 247, 2.\nAnswer: 2, 12, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -5, -3, -3\/7, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -296295*s**2 - 198590?\nAnswer: -592590*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*q + 6*q - 21, -152*q = -9*c + 12*c - 912 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/3 + 2*s**3 - 4*s**2 - 56*s\/3 - 16 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2519 + 4292 - 216*q - 710 - 269 + 2*q**2.\nAnswer: 2*(q - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - -66. Let z = -64 + m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhgd when four letters picked without replacement from gwhdxih?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165439 is divided by 376?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 706 + 46 = 0. Suppose -4*d + r = 4*h - 44, 3*h = 5*d + 92. Which is greater: h or 38?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 + 7*r + 12. Let a be k(-2). Let o be a\/1*(-3)\/(-18)*9. Solve -2*q - 9 = -x, -2*q + 11 = -0*q + o*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712.3829 litres to millilitres.\nAnswer: 712382.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -4, -0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78? (a) 1\/3 (b) -0.7 (c) -2\/7 (d) -45\/31 (e) 1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2884, 7326, 11768?\nAnswer: 16210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 2. Suppose -83 = 3*a - 2*v - 3*v, 0 = a - 3*v + 25. Let u(d) = -2*d**2 - 62*d + 2. Let z be u(a). Determine n(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 58 = 0. Let s = -19 + r. Calculate the highest common divisor of s and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 2*b**2 - 1. Let d be s(2). Let m be (d\/2)\/(1\/(-4)). Let v = 5 - m. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, -639 in descending order.\nAnswer: 4, 2, 1, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 884105, 1768214, 2652323, 3536432, 4420541?\nAnswer: 5304650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249692051 to the power of 1\/3, to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(637) + -5 + sqrt(637) + 0 + -2 + 4.\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 3:01 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - 2 - (1 + 2). Suppose t + h*t + 496000 = 0. What is t rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*d - 189*d**3 + 2 + 81*d**3 - 142*d - d**2 as r*d**2 + t + i*d**3 + j*d and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 2*b - 2. Let o(z) be the second derivative of 2*z**4\/3 + 5*z**3\/6 - 5*z**2\/2 - 146*z. Give -11*j(k) + 4*o(k).\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -141?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/9131 (b) 103 (c) 0.3 (d) -1\/4 (e) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4, -60\/13, -5\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + a - 3 + (-1 - 2*a + 1)*(-2 + 0 + 4))*(2*a + 2 - 5 + 1)*(-31*a**2 + 6*a**2 + 8*a**2) to the form r + w*a**2 + z*a**3 + j*a + s*a**4 and give z.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2626 - 3002 = 201*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from gicfirrcryiicry?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s + 25. Let b be i(-6). Suppose 4*u + 25 = -u + 5*k, -2*u + 5*k = 13. Sort b, -3, u.\nAnswer: u, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(102\/9))\/((-23)\/((-644)\/21))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-6 + (-1 - 0))) + -9 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -6)\/((-105)\/(-40771465)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a. Suppose -3*i - q = -16, -2*q + 2 + 6 = a. Solve n = i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/189 - -10\/27. Let x = 1\/2 - -1\/14. Suppose -r*k**2 + 2\/7*k + x = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 366994?\nAnswer: -2568958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 - 20*c**4 - 24*c**3.\nAnswer: -4*c**3*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/3, 4, 2\/3, -35, 189?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d6c26 (base 14) in base 12?\nAnswer: -307b92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = -26*o - 54. Calculate the remainder when (-157)\/(-3) - (-16)\/24 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70947\/125 or 567?\nAnswer: 567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351\/(-78)*16\/36.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 26*d - 48. Let s = 116 - 100. List the prime factors of f(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from xxxxxhxhx.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2.5, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 - 1170*k**2 - 1379625*k - 13674250 = 0.\nAnswer: -415, -10, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - (-1256)\/(-40). Let k = a - -62. Let t = k - 28. Solve -2*p = t*r, 3*r + 3*p + 1 = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 63?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:25 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-312 + 335 - 421)*(7 - 2 - 1)*(0 - 2*a + 0).\nAnswer: 3184*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*f + 13 = 0, -12 = 3*l + 2*f + f. Let q be (l - (-30)\/8)\/((-9)\/6). Are -0.45 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 3)*2 + 4. Let p be 2*(-5)\/(30\/(-9)). Is p > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103327?\nAnswer: 7, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*q - 70 = -49*v - 358, -4*q = 2*v + 24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let m(k) = k**3 + 9*k - 5*k**2 + k**2 - 3*k**f - 2*k - 7. Let g(q) = q**3 - 6*q**2 - 16*q + 6. Let z be g(8). Give m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -20. Suppose -2*u = -g*f + 6 + 11, -4*f - 2*u = -28. Solve f*p = 8*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 5. Let r be (-3)\/(-5) - (-116)\/(-10). Let i(j) = -6*j + 9. Determine r*q(x) - 6*i(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61031 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165623 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3212800, 3212634, 3212358, 3211972, 3211476, 3210870, 3210154?\n\"Answer: -55*f**2 - f + 3212856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -15 - (0 - -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -65. Let s be 4 - 1\/(16\/i). Factor 0*o**4 + 0 + 0*o + s*o**3 - 1\/4*o**5 + 1\/2*o**2.\nAnswer: -o**2*(o - 2)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9318 is divided by 585.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12146, -24559, -36982, -49421, -61882, -74371?\n\"Answer: -i**3 + i**2 - 12409*i + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 22*z + 1761. Let n be r(-80). Put 4, -17, n, 0 in decreasing order.\nAnswer: 4, n, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13126*z**3 - 8013*z**3 - 5129*z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17349, 34715, 52069, 69405, 86717, 103999, 121245?\nAnswer: 138449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(-11)\/r*r)))\/r**(-3\/11)*(r**10*r)\/r**(4\/11) assuming r is positive.\nAnswer: r**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/6*(-3)\/2. Let b = z + -3. Solve 0 = b*q + 4*t + 6, 4*t = -5 + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 - 101. Factor 30*o**2 - 33*o**2 + 7*o**4 - i*o**4.\nAnswer: 3*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*b + 2. Suppose 0 = l + 4*o + 10, 0 = -b*l + 3*o - 19 - 34. Let z = l - -21. Which is greater: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.083 and -3168 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/7 + 411*m\/7 - 118.\nAnswer: (m - 2)*(m + 413)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/3 - 5*d**3\/3 - 101*d**2\/3 + 71*d - 36 = 0.\nAnswer: -9, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/3 - 86099*w**2\/3 - 9118067*w\/3 - 241554337\/3 = 0.\nAnswer: -85993, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3233291*n**2 + 259452*n.\nAnswer: 6466582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 2*s**2 + 2*s + 4. Suppose 50*d = 25*d + 75. Give m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - 81. Suppose -z*y + 10*y = 8. Suppose -129 + 493 = y*f. Calculate the remainder when f is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -25 - (-21 + 31)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34326\/42 - 5) + 2\/(-7). Let g be (b\/8)\/(-7)*-70. Let v = g + -588. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6 = 3*t, -2*t - 10 = -7*w - 32 - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*l**4*x**2 - 260*l**4 - 2*l**2*x + 208*l**2 + 7*x**2 + x wrt l.\nAnswer: -1584*l*x**2 - 6240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(sqrt(68) + 0) + sqrt(68) - (sqrt(425) + 4 - sqrt(51)\/sqrt(75)))*2.\nAnswer: -2 + 72*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = -0*v - 3*v, -6 = -v + 2*l. Let r be (9\/15)\/(v\/(-5)). Let g = 54856 - 54860. What is the nearest to -1 in g, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40188992 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1071\/517?\nAnswer: -1071\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2327.42 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 9) to base 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 15*b - 44. Let q be u(12). Let h(y) = -7 + 2*y + 12 + 14. What are the prime factors of h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 4\/3, 2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from vfnvnovffrfp?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156889737.\nAnswer: 3, 5810731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -21?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8381, -16749, -25107, -33455, -41793, -50121, -58439?\n\"Answer: 5*z**2 - 8383*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3718253 and 1232.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*x + 40, -o + 6 + 13 = -2*x. Let v be ((-3)\/x)\/((-1)\/(-6)). Suppose -v + 1 = -h. Let z(r) = -6*r**2 - 1. Give z(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 803841, 1607674, 2411507, 3215340, 4019173?\n\"Answer: 803833*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 6)\/(4\/(-2174)). Suppose 7128 = a + w. Suppose 4*v + a = 3*r, 5*v - v + 4970 = -5*r. What is v rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b84 - 1?\nAnswer: b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(605) + 5 + sqrt(605) + -3 + sqrt(605))**2 + -5*sqrt(605) + 2) + -1.\nAnswer: 385*sqrt(5) + 27254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/9 (b) -0.1 (c) -0.5 (d) 1\/2 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -38?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1, 2\/31, 44, 0.2, 49, -5 in increasing order.\nAnswer: -5, -1, 2\/31, 0.2, 2\/5, 44, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - r - 1. Let s(x) = -x - 2. Calculate -2*d(f) + 2*s(f).\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 + 36*w + 6. What is s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9395, 9391, 9385, 9377, 9367?\nAnswer: 9355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -26*r**6 - 23*r**2 - 8. Let n(p) = 9*p**6 + 8*p**2 + 3. Let l(k) = 3*b(k) + 8*n(k). What is the third derivative of l(s) wrt s?\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 13 + 48. Let i(a) = a**3 - 2*a**2 - 4*a + 5. Calculate the remainder when h is divided by i(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-6) + ((-4)\/110 - (-26 + 14602\/770))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545, -553, -575, -617, -685, -785, -923, -1105?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(12825\/760)*(-3)\/(-100)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-1)*n)\/n)\/((n**(-2\/17)\/n)\/n))\/(((n*n**(-2\/3))\/n)\/(n\/(n*n**3))))\/((n\/(n*n**(-2\/9)*n))\/(n*n*n**(2\/19))*(n**(1\/4))**7) assuming n is positive.\nAnswer: n**(-961\/11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)\/(j\/j**(-2\/7))*(j*j**(-2\/3)\/j)\/(j**(1\/5)\/j*j) assuming j is positive.\nAnswer: j**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 4*k - 20 = -15*t, 5 = -5*t + k. Suppose t = -2*w - 5*x + 1188 + 2492, -4*w + 7332 = -4*x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -18. Let p(g) = g + t*g**2 - 2*g + g. Let q(l) = l. What is q(p(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 57*u - 37. What is the hundreds digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2)*3\/(-6)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 5, 3 in decreasing order.\nAnswer: 5, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8808107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265746 divided by -265746?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191\/1122 + -14983946\/2805. Let b = 5337 + m. Calculate the common denominator of 46\/167 and b.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/19 + (0 - 705\/19). Let x be (13 - 17) + (-2 - f). Which is smaller: 35 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2887 - -9915. List the prime factors of j.\nAnswer: 2, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1.6 (c) 2\/11 (d) 0.2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6956718 to the power of 1\/2, to the nearest integer?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -10, -8916?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68325*a + 5920 = -68177*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 3*k + 326. What are the prime factors of (-1922)\/k - (-60)\/75?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and 1.2.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 13*y**2 - 9*y - 18. Let k(a) = a**2 + a - 18. Calculate the smallest common multiple of q(14) and k(5).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -28*j**2 - 448*j. Let f be n(-16). Sort 2\/27, f, 8 in decreasing order.\nAnswer: 8, 2\/27, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*q + 2, 4*s + q - 31 = -2*q. Suppose 5*x - 215 = s*x. Suppose 2*z + x = 3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990826 is divided by 245?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02676764 rounded to four decimal places?\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159cca (base 13) to base 8.\nAnswer: -2027001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 14 (c) 63 (d) 20 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 693, 2326, 5529, 10830, 18757, 29838?\nAnswer: 44601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28 - 0)*4*(-3)\/(-16). Solve -9 = -4*q - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - 143. Let r = -3 + 5\/2. What is the biggest value in -2, -10, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (30 - 7) - (-70 - -118).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w + 5*p - 63, -3*p - 7 = -w. Calculate the common denominator of (-30*(-1)\/w)\/((-468)\/112) and -49\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 10*r + 9 - 33 = -11*k, k + 3 = 5*r - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11626*q - 43. Is r(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 234*i**2 + 1402*i - 4. Determine c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 - 125. Which is smaller: l or -117\/5?\nAnswer: -117\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 0.1 (c) -0.3 (d) -2\/17 (e) 37 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (12 - (-2420)\/(-140))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g + 480 = -56*g. What is the highest common factor of 50 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1\/24) + 0. Let k be 5\/(-3) + v\/18. Is -12\/5 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2976, -502, -6300, -14418, -24856, -37614?\n\"Answer: -1160*s**2 + 2*s + 4134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 6 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*d + 29035, -15*d + 11*d - 14525 = -k. Suppose -11257 = -2*a + k. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3789, 5071, 6375, 7701, 9049?\n\"Answer: 11*j**2 + 1249*j + 2529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.33*107600\nAnswer: 35508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -444*w + 444*w + 5 - 2*w**4 + 2*w**3 + (w + w**3 - w)*(-5*w + 1 - 1).\nAnswer: -7*w**4 + 2*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253\/3 - 85. What is the nearest to p in -1, -3\/2, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*h**3 + 624*h**3 + 623*h**3 + 630*h**3 - 3096*h**3 + 587*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 0 + 1 + 20*i**2 + 48*i**2 - 2.\nAnswer: 67*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 71.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015 - 0.251510345.\nAnswer: -0.236510345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 + -259. Let j be w + -6 + 36\/6. Solve -5*h - 10 = -q + 6*q, j = -4*h + q - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -23.\nAnswer: 83\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j - 1. Let p = 28831 + -28826. What is the remainder when s(5) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w + 3*w - 5*w - 6 - w**2. Is n(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n**2 + 9*n - 5. Let g be i(-5). Which is smaller: g or 12\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 1626 = -5742. Let o = u + 990. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3248 and -0.402978.\nAnswer: 1308.872544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 3*j**5\/20 - 11*j**4\/12 + 23*j**3\/6 - 19*j**2\/2 - 14*j. Let m be d(15). Is (2\/4)\/(4\/m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 7 - v)*(3 - 7 + 3) - v - 2*v + 5*v + 2 - 6*v - 2)*((2 - 4 + 4)*(-1 - v + 1) + v - 4*v - 2 - v).\nAnswer: 18*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6282960 divided by -705\nAnswer: 8912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, z: 2, p: 5, q: 2}. What is prob of picking 1 z and 3 g?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.013*10\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 5*g + 3. Let p be ((-16)\/(-10))\/(4\/10). Let l be (p\/3)\/(1\/(-3)). What is the remainder when 19 is divided by k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m = -61*m + 54408. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 266, 265, 264, 263, 262?\n\"Answer: -b + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 12) in base 7?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2073441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 3:37 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-15)\/(-9) - 2)*3. Put 4, -1, n, 0 in descending order.\nAnswer: 4, 0, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/58533 and 31\/327.\nAnswer: 58533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44 - -3.16. Let m = -2.3 + -4.3. Let i = r + m. Which is the third smallest value? (a) 2 (b) i (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:51 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 2. Let g(j) = -16*j**2 + 17. Let z(d) = -6*g(d) - 51*w(d). Let v(i) = 9 - 6*i + 18 - 38 + 3*i. Calculate v(z(b)).\nAnswer: 18*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -120?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/78 + (-11)\/(-154)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 542*z**2 - 540*z.\nAnswer: -2*z*(z - 270)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2670 and 46458?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1314 and -83\/1168.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*g + 23 - 14, 3*d = -3*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -3 (b) -4 (c) -168 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0.4, -0.48, 204.\nAnswer: -0.48, 0.4, 2, 3, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-18))\/(5\/(-795)). Solve o*v - 43*v = -20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4874 and -117\/48740?\nAnswer: 48740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(6\/13)*d**(-25))\/(d**(-3\/8)\/d)**27 assuming d is positive.\nAnswer: d**(1413\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 + -1.2. Let h = -3.1 + 3.2. Which is the third biggest value? (a) u (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnb when three letters picked without replacement from vnnvbbpbrrrprvnnrn?\nAnswer: 25\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:52 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + 2*c)*(0 - 1 + 0).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1402708 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-70 - -104 - -21)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b + 117. Let n(y) = 5*y + 58. Determine -9*n(t) + 4*r(t).\nAnswer: -t - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022110121020 (base 3) in base 8?\nAnswer: -2523353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -43*u**2 - 5*u + 22. Let t(k) = -15*k**2 - k + 8. Determine -11*t(m) + 4*z(m).\nAnswer: -7*m**2 - 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, -5, -1\/3, -0.219?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24703 + -24688. Solve 19*w = -5*p + z*w - 5, -5*p - 50 = -5*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -25. List the prime factors of 5 - (-1 - (-10)\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - 0) + 40 + (-58 + 7 - -16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-34) - (-92610)\/(-77112)\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 571709.1 decades?\nAnswer: 5717.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 464*r**2 - 458*r - 924.\nAnswer: -2*(r - 231)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -226.9421 and 5668.\nAnswer: 5441.0579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538093 is divided by 4411.\nAnswer: 4362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s + 8. Let w(g) = -8*g - 4. Let a(c) = -3*p(c) - 7*w(c). Let t(u) = 32*u + 13. Determine -17*a(j) + 6*t(j).\nAnswer: 5*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d**2 + 11*d - 11. Let k(z) = -5*z**2 + 4*z - 4. Let t(i) = -11*k(i) + 4*s(i). Let l(n) = 34*n**2 + 5*n**2 - 8743*n + 8743*n. Give t(l(f)).\nAnswer: -1521*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) + sqrt(17) + sqrt(153)*4)**2.\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.097 and -769076?\nAnswer: -74600.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n + 5*v - 22, 0 = n + v - 10. Suppose n*b - 5*b - 312 = 0. Suppose -3*o + b = o. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32182, 32264, 32346, 32428?\nAnswer: 32510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104260 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1010000?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 1038025 + 508897 = -829947. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -17*l**2 + 688*l + 348. Give m(41).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*g - 1252295, -3*g + 2*t = 4*t - 939204. Let b = g - -43326. Let w be (-4)\/(-18) - b\/(-18). Round w to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1144678, 2289306, 3433934?\n\"Answer: 1144628*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7532\/33327 - (-70)\/(-315). Which is smaller: w or 38?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/63)\/((-4)\/7). Let x(y) be the third derivative of 0*y - 7\/30*y**5 + 0 + 15*y**2 + 0*y**3 + t*y**4. Determine s, given that x(s) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121*s**4 + 510*s**3 - 3*s**2 - 2*s + 2973439?\nAnswer: 484*s**3 + 1530*s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(-7)*y*y))\/(y\/(y\/y**6*y)))\/(y*(((y*y*y*y**(-2))\/y*y)\/y)\/y)**(-45))**(-3\/5) assuming y is positive.\nAnswer: y**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = -640. Let u = s + 190. Suppose -a + 0*a = -u. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (77\/14)\/(1\/(-2)). Let f = 32\/3 + n. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.0109, 2, 3, 2\/211, 0, 4, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3092330868?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 24. Suppose -b - r + 121 - 28 = 0, 5*b - 4*r - 492 = x. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6099 is divided by 280?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*h = 1098*h - 4*s - 16, 2*s - 14 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*z - 32, 4*f - 5*z + 10*z - 135 = 0. Let n = f - 75. Round n to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 3*x**2 - x**2 + (-2*x - 5*x + 5*x)*(-1 - x + 1) + (-2*x + 1 - 1)*(1 - 2 + 2)*(202*x + 15*x + 481*x).\nAnswer: -1395*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a - 30. Let f = -18 + a. What are the prime factors of (-148)\/f + (-6)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s**2 - 10*s - 41. Let x(j) = -10*j**2 - 9*j - 39. Let q(y) = 5*w(y) - 6*x(y). What is the first derivative of q(i) wrt i?\nAnswer: 10*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4394201 or -4394207?\nAnswer: -4394201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -8, 10, 1, 2 in ascending order.\nAnswer: -8, 1, 2, 10, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(3\/5)*h*h**6\/h*(h**(-1)\/h)**(-2\/87) assuming h is positive.\nAnswer: h**(2804\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3566552 - 5?\nAnswer: 3566547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**2*y)*y)**(3\/29) assuming y is positive.\nAnswer: y**(-6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3, 21, 389, 27 in increasing order.\nAnswer: -3, -2, 6, 21, 27, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4\/7*r - 10\/7*r**4 - 4\/7*r**3 + 0 + 10\/7*r**2 = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19345?\nAnswer: 5, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -6*u, -11*u + 16 = -3*h - 6*u + 4 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/173 + 328\/1557. Let w = 108 - 111. What is the second biggest value in w, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 255458 and 10150.\nAnswer: 185207050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -12. Let u be 1 - 3\/(-1 - 0). Let k be (2\/u)\/((-17)\/(-2)). Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750)*-3)\/(-1*sqrt(10)*-1))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524087?\nAnswer: 2524087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -63.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 - 120934*h\/13 + 604720\/13.\nAnswer: -2*(h - 5)*(h + 60472)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242132 - 141?\nAnswer: 241441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*w = -250*w - 3*i + 18, -4*i = 8. Sort w, 0, 2, -5.\nAnswer: -5, 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -5 + 0 - (105 - 85).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1397\/6 + 233. Let u = -7.8 + 2.36. Let s = 0.44 + u. Which is the closest to -2? (a) s (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023534669 rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**3\/3 + 2*a**2 - 7*a + 1. Let g be (-4)\/((-16)\/(-10) - 2). Suppose t = -t - g. Give w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2120033300 + -11?\nAnswer: 2120033223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8045, -6999, -5953?\n\"Answer: 1046*f - 9091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:54 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210 a factor of 383329289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30960287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -20. Suppose -2*o + x = -0*o. Suppose -5*n = 2*w + 9, -2*w + 52 - o = -5*n. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/3 - 3*y**2\/2 - 2*y. Suppose 0 = 6*h + 3 + 9. Determine l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 8. Suppose d = h + 4*h. Solve -11 = h*n + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 6949 = 8521. Let w = 458 - a. Solve 0 = 4*l - w*x + 8, 15 = 4*x - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*w + 4 - 4 + 564*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1139315\/51 <= -22339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6814040 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*x = -662, 0 = j + 3*x - 2*x - 134. What are the prime factors of j?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 4:42 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -46 (b) -4 (c) 3 (d) -3\/5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*2)\/((-1748)\/(-228))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 300, 673, 1206, 1905, 2776, 3825, 5058?\n\"Answer: o**3 + 71*o**2 - o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358558701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7624000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16922908 divided by -4\nAnswer: -4230727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrw. Give prob of sequence wrw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from {t: 2, u: 1, o: 2, g: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -833842815 > -833842814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2822555 divided by -564511\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-4)*(720\/(-16) - 7). Suppose 0*b + 3*b - 6 = 0. Find the first derivative of -335*r**b - 13 + 4*r + q*r**2 - 4*r wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from hho.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**3\/3 + z**2 - 17*z + 27. Let g be f(-11). Let u be (g\/(-26) - 1) + (-8)\/52. Solve 0 = -u*b + 14 + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + 6.67. Let y = 644 + -643.6. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -70*d + 3363. Calculate t(63).\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3*t**2 - 4*t**2)*(2*t**2 + t**2 - t**2) - 1 - 2*t**4 + 1 + (0*t**4 + 3*t**4 - 5*t**4)*(-1 + 0 + 0).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5003 + -4625. Calculate the smallest common multiple of z and 189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*t = -0*t + 1667, 3*t + 9 = 0. Suppose -8*j = -5*h - 3*j + 425, j - u = -5*h. Let r = 19 + h. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 2?\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-30) - 3\/(-5). Suppose -8*f + 10*f = 6. Solve -5 - b = f*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/(b**(-1)\/b)*b)\/b)\/b)\/(b\/((b*(b\/(b\/((b\/(b\/((b\/b**(-3)*b)\/b)))\/b)))\/b)\/b)*b))**(-2\/13))**(-39) assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 5. Let a(k) = -k**2 + 2. Let z(s) = 5*a(s) + 2*l(s). Let i(n) = -31*n. Give i(z(b)).\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7886283.\nAnswer: 3, 17, 239, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 5. Suppose -4*m + 6 = 38. Suppose -7 = -3*g + 11. Let j(u) = -11 - 9 + g - 6*u. Give m*w(f) + 3*j(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaa when three letters picked without replacement from {w: 1, x: 1, a: 3, i: 1, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16337, 63890, 143145, 254102, 396761, 571122?\nAnswer: 777185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 - 11620*q**2 + 11515*q + 232300 = 0. What is q?\nAnswer: -4, 5, 2323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m - 1. Let k(q) = -q**3 + 15*q**2 - 7*q + 7. Let b(h) = -k(h) - 5*r(h). What is the tens digit of b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-5) - (1729\/105 + -16). What is the nearest to -98 in v, -0.1, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)\/h**(1\/10))**45\/((h\/(h*(h\/((h*h\/h**(1\/3))\/h))\/h))**27)**(-1\/37) assuming h is positive.\nAnswer: h**(-3627\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v - r, -4*v - 17 = -3*v + 5*r. Suppose 10 = 8*c - v*c. Solve j = -u + c, 2*j - 6*j + 5*u = -17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**3 - 5*t**2 - 3*t + 41. Let i(s) = 5*s**3 - 3*s**2 - 2*s + 20. What is -3*a(k) + 5*i(k)?\nAnswer: -2*k**3 - k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6211905)\/(-71523) + 8\/54.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314b9b (base 14) to base 15.\nAnswer: -22d5a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c**2 + 11 - 219*c + 219*c wrt c?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**2 + 3. Give j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3954*l + 1. Let m(o) = 4001*o - 1. Determine -5*h(x) - 4*m(x).\nAnswer: 3766*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 1062.\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 0.4. Let q = -0.1 + 0.3. Let w = -2 + 1.5. Which is the biggest value? (a) z (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -12210002?\nAnswer: -12210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 996365 and 2525.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjs when three letters picked without replacement from usumjuus?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*t + 28, -4*t - 3*k - 13 = -2*t. Let s(z) = z**2 - 33*z + t + 17*z + 346*z**3 + 13*z. Is s(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 8256, 29625, 71228, 139809, 242112, 384881?\nAnswer: 574860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -3*t**5\/10 + t**3 - 3*t + 3. Let l(h) be the first derivative of b(h). Find the second derivative of l(g) wrt g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30342465 (base 7) to base 13\nAnswer: -6a83a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*t**2 + 45*t**2 + 0*t**2)*(-3 + 8*t**2 - 4*t**2 + 0*t**2) to the form d*t**3 + z*t + i*t**2 + m*t**4 + v and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8476999 millilitres in litres?\nAnswer: 0.0008476999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169984 is divided by 178?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110132 (base 4) in base 13?\nAnswer: 79a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -2\/413 (c) 1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/10 in 8\/7, 0.3, 47, 2, 0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15 = a - 3*c, 2*a = 3*c + 5. Solve 3*t + 5 - 26 = -3*f, a*f + 3*t = 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 5*c - 0 - 6, 4*y - 2*c = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.788849 in 3, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:54 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63097, -126236, -189393, -252574, -315785, -379032, -442321?\nAnswer: -505658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 125. Let r = n - 33. Let i(l) = l**3 + 9*l**2 + 7*l. Let u be i(r). Solve 2*a = -2*p - u, 2*a - 6*a - 16 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5639848 weeks to hours.\nAnswer: 94.7494464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111325829443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4012.1 - -3855. Let z = 157 + l. Is 1\/122 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 16 = -15*r. Suppose -8 = -2*m, -2*z + m = 3*m - 16. Calculate the least common multiple of r and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 47 = 7. Solve -3*x = -g - 2, g + v*x = -g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 2*p. Suppose -3*r + 9 = -5*b, -1 = 5*b - 5*r + 14. Suppose b = 18*i + i + 76. What is l(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -173264 and 6110274.\nAnswer: 5937010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 18*f = 0. Solve -3*n = -3*d - f*n + 3, -n + 29 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604715, 604716, 604717?\nAnswer: 604718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 288 + -114. Calculate the remainder when k is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:49 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19*q**2 - 42*q - 6. Let f(r) = 19*r**2 - 28*r - 4. Let h(a) = -3*f(a) + 2*m(a). Let z(d) = d - 7. Give z(h(x)).\nAnswer: -19*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10*a + 4422 = 0. What is the least common multiple of 2 and 36\/(-8 - a\/48)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3087497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*s - 5528 - 3589 = -1467 - 1346 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/85 and 99\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 15*b**2 - 37*b + 24. Let h be d(17). Calculate the common denominator of 67\/2 and (-2090)\/(-4245) - (-9)\/h.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 701530606 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7\/20, -3\/2, -1, 0.4 in ascending order.\nAnswer: -3\/2, -1, 7\/20, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2032*j**3*q - 432*q - 1 wrt j?\nAnswer: -6096*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -714 - -753. What is the greatest common factor of 104 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(1\/47)*l**(-2\/13) assuming l is positive.\nAnswer: l**(1115\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3*c - 5. Let f = 58 + -54. Let i be m(f). Let r(d) = d**2 - 3*d**2 - 3*d**2 + 12 + 4*d**2 - 9*d. Calculate r(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 966059599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**3 + 32*l**2 + 13*l - 11. Let q(o) = -6*o**3 + 43*o**2 + 18*o - 15. Give 8*q(i) - 11*v(i).\nAnswer: 7*i**3 - 8*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 16 + 7 = 0. Let w(m) = -m**3 - 5*m**2 - m - 4. What is the remainder when u is divided by w(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = v - 4, 5*n + 3*v - 20 = 0. Suppose -n = -4*l, 2*l - 5*l + 79 = 4*s. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 5*s + 7. Let x be l(-6). Let g(q) = -40*q - 31. Let t be g(-8). Let w = t - 284. Solve 3*v = -0*c + 2*c - w, 0 = -5*v + c + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -181\/5. Which is the second biggest value? (a) 0.5 (b) 0.05 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = y + 3, 0*y = -2*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14567.\nAnswer: 7, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1095917 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0*t - t - 2*t + 4. Let b be w(-11). Let n = -4 + b. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*m*q*y**2 + 72*d*m + 3*d*q**2*y**2 - 12*d*q**2 + d*q + 2*d*y**2 - 2*m*q**2 wrt q?\nAnswer: 6*d*y**2 - 24*d - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -5\/11, -1, 118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 12)*(-o + 4*o + 0*o) - 1 + 4 - 11*o + 2*o.\nAnswer: 39*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 11*s**2 + 19*s + 20. What is the remainder when f(9) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + (34 - 5) - (869 - 864)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -2 - (-2 + -1). Let k = s + -2. Let g(h) = k*h - 4*h + 6*h + 3. What is g(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 404240424?\nAnswer: -404240412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 605845 and 0.0355.\nAnswer: 605845.0355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x - 2*x + 5*x - 10*x in the form j + b*x and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101708 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 15 = 5*j, -700*j - 17 = -701*j + 4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1706 (c) -26.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285 + 139 + 143 + c)*(0*c + 0*c - 3*c).\nAnswer: -3*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 3, 1651?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 58. Suppose -2*y + a*q + 0 - 19 = 0, y - 4*q + 17 = 0. Suppose 0 = y*z - 26 - 136. 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: What is the tens digit of 140529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 85*i + 195. Let w(s) = -2*s**2 + 42*s - 98. Let c(t) = 2*f(t) + 5*w(t). Factor c(y).\nAnswer: -4*(y - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 1. Let r be 12\/y + (-1)\/(-4). Suppose 4*g - r = 3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 4, m: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0 - 4. Let n(u) = -6*u - 6*u**2 + u**2 + 0*u**s + 5 + 3*u**2. Let p = -1 + -5. Let i(j) = 2*j**2 + 5*j - 4. Give p*i(r) - 5*n(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5244665 + 98884.\nAnswer: 98882.4755335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6*(-3)\/711). Is 6\/(-21) - z\/35 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*u + 2*u - 7*u)*(0 + 2 - 3) - u - 4*u + 4*u)*(-1433*u + 2856*u - 146*u**2 - 18 - 1421*u) to h*u**2 + j*u + y*u**3 + o and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 30*c + 7. Let n(a) = 150*a + 35. Let x(s) = -11*l(s) + 2*n(s). Let m be x(3). Let w = -93 - m. Solve -w*q = -8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from dqzzddqzzrzqqqzdq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w - 7. Let r be q(5). Let v = r + -17. What is the lowest common multiple of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/(-2924))\/(14\/28)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/((-8)\/96). Let h be 29 - ((-5)\/1 + (-5 - -7)). Suppose 0*y - h = 2*y. Is y > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1496 and 30354.\nAnswer: 22704792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(84)\/(sqrt(60)\/sqrt(5))*6)**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 13*t + 17. Let g be p(-12). Suppose -f + 4*i - 3 + 9 = 0, 0 = -g*f - 5*i + 80. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 3. Suppose -4*h - 23 = -2*r - r, -h - 9 = -4*r. Let i be (-318)\/14*r + (-6)\/21. Let n = -22 - i. Let z(m) = -1. Calculate n*u(w) - 3*z(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 39. Let a be s(18). Suppose a + 2 = z. Sort -2, -6, -11, z in ascending order.\nAnswer: -11, -6, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*y - 3*h, 0*y - 2*h = y + 2. Let x(o) = 2*o + 12. Let w be x(y). Solve 0 = -3*u - w*u + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20234 divided by 217?\nAnswer: 20234\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298 by -5.\nAnswer: -298\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 + 19\/(-5))*190\/(-19) and 46?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 15 = 4*v. What are the prime factors of v\/(-2)*(-106)\/(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -1509.\nAnswer: 10563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 1 + ((-621)\/(-81))\/1. Let j = 5.1 + 0.9. Let n = j - 6.3. Which is the nearest to 1? (a) u (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100001 + 10111?\nAnswer: -10010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -6b98b36?\nAnswer: 6b98b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13965233*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.38 (b) -54 (c) 0.5 (d) 1 (e) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 244 = -27*n. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in 1\/8, -1\/5, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 41 = 3*d, -d - 30 - 17 = -5*i. What is the nearest to -0.1 in 0.4, i, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 317987.49745?\nAnswer: 317987.99745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -323 - -349. Let a(d) = 13*d - 202. Calculate the remainder when a(h) is divided by (-278)\/(-6) - (-3)\/(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from cccxcwcwxwxcwcwx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1889*r = 1901*r - 195516. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:15 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/60 + b**2 - 175. Let p(y) = -y. Let j(c) = -33*c. Let n(v) = -j(v) + 66*p(v). Determine z(n(k)).\nAnswer: 1089*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -546 + 997. Does 53 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117704.\nAnswer: 2, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115009494 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 - 11894*s + 177*s**2 + 11893*s + (2*s + 3*s - 6*s)*(2*s + s - 2*s) + 4*s**2 - 3*s**2 + s**2 + 3*s**2 - 2 + 2 as q*s + n*s**2 + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5481 and 24?\nAnswer: 43848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1930*a - 809*a + 80852 = -576*a + 215*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-4 - 1\/(-2)). Suppose -f*l + 769 + 1107 = 0. Let m = l + -140. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11353, 5, -19\/2 in decreasing order.\nAnswer: 5, -1\/11353, -19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53.1 + 3.1. Let c = -327 + 271. Let m = c - a. What is the smallest value in -1\/2, m, -2, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**5)**(-2\/59)\/(i\/((((i*i**5*i*i)\/i)\/i)\/i)*(i\/(i*i**(3\/13)))\/i))**(-2\/23) assuming i is positive.\nAnswer: i**(-8232\/17641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o. Let j be r(-1). Suppose j = 3*z + 6. Let m(a) = a - 1. Let y be m(-4). Put y, z, 5 in descending order.\nAnswer: 5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1156408, 9251172, 31222684, 74009320, 144549456, 249781468?\nAnswer: 396643732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r + 10 = p, -4*p - 4 = -3*r. Which is the third smallest value? (a) -3 (b) -0.5 (c) 0.4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = -68*t - 2544 + 475 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 7*z - 27. Let q be p(4). Solve -3*a + 14 = -q*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 59*s**2. Let w(m) be the first derivative of -m**2\/2 + 18. Determine w(j(k)).\nAnswer: -59*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 3 (c) 5 (d) 60 (e) 12.7 (f) -4\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/33)*u*u**(1\/10)*u)\/(u**34*u**30) assuming u is positive.\nAnswer: u**(-20407\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*w**3 - 1\/2*w**2 + 0 - 1\/4*w = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 7) to base 8\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -136*f**2 - 145*f - 15. What is o(-3)?\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 19*b**2 + 5*b + 11. Let f(k) = -9*k**2 - 2*k - 5. Calculate -7*f(g) - 3*y(g).\nAnswer: 6*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 624986287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4017\/9 + 3\/(-9). Let m(j) = j - 4. Let p be m(7). Suppose 3*a + 80 = p*x + w, -2*x = 2*a - 240. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -107. What is the greatest common divisor of 65 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 0 + (-2)\/2. Calculate the smallest common multiple of ((-18)\/8 + -3)*(-72)\/27 and s\/2 + -5 + 25.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2674 + 2678. What is the second smallest value in -0.9, -5, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 10. Let b = -17 - -8. Let i be s(b). Suppose -5*d + 19 = -3*y, 4*d - 14 = 4*y - y. Solve d*t - 23 = 2*r, -2*r - 3*t + 0 + i = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 1\/3, -1\/7, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-500)\/370 - 4\/(-3). Let p = g - 329\/222. Which is the nearest to -2\/7? (a) -0.2 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 5 - -7) + (-230)\/(-46)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32351 or 32357?\nAnswer: 32351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99.459894 - -99.356. Let y = -0.104 - a. What is y rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 25*t**2 + 35*t - 1865. Calculate m(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -44*w - 12*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.007860776889 and -46.\nAnswer: -46.007860776889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(567) - (-1*sqrt(567) + 1)) + sqrt(567)*4 + 1 + -4)**2.\nAnswer: -1296*sqrt(7) + 61284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k - 6*k**2 - 32*k**4 + 17*k - 4 + 29*k**4 - 2*k**2 wrt k.\nAnswer: -36*k**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 10 = -4*h, -77*z - 2 = -76*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**6\/120 + w**3\/3 + 3*w**2\/2 - 2*w. Let p(y) be the first derivative of x(y). What is the derivative of p(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(4 - 1 - 1)*(-1 + 0 - 1)*(y**2 - 6*y**2 + 7*y**2) as r*y + b + d*y**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**2*l**3 + 2*b**2*l**2 + b**2*l - 16310*b*l**5 - b*l**2 + 95739*l**2 wrt l.\nAnswer: 90*b**2 - 978600*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 19 = -11. What is the units digit of (12\/u)\/(2\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*g = -46*g + 440. What is the tens digit of (-3 - (-15)\/10)*g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11947075 and 350?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -43813*i - 5197. Is r(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnrrnrrrrr. What is prob of picking 1 r and 1 n?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*u**3 + 96*i**3*u - 3*i**3 + 16*i**2*u**3 - 2*i**2*u**2 - i**2*u - i*u**3 wrt u?\nAnswer: -6*i**3 + 96*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5478, 5476, 5474, 5472, 5470, 5468?\n\"Answer: -2*w + 5480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 14*k + 30. Put -6, -2, k in descending order.\nAnswer: -2, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42622 - 15?\nAnswer: -42637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4046)\/102)\/(7378\/6510)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 44316240 and 0.436.\nAnswer: 44316240.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (69 + 66)*3\/5. Calculate the highest common divisor of 567 and a.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-21))\/2*(-90)\/24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -47. Let m be (2\/4)\/(r\/16). Which is greater: 10 or m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c - 20 = 0. Let t(k) = -2*k + 3*k + c*k - 3*k. Determine t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13944.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {r: 1, s: 2, o: 2, n: 1, i: 1, g: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/97468158 and -53\/4.\nAnswer: 194936316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-27)*x*x*x))\/x**(1\/43))\/(x**(3\/7)*x)**17 assuming x is positive.\nAnswer: x**(-394\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356471 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q - 59 + 59.\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.112763221 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v = 38*v + 1925. Calculate the greatest common divisor of 1485 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 13. Let c be 1\/4 - 18\/h. Let u = 4 + c. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*x - 78, 3*t - 9*x - 59 = -11*x. What is the third derivative of 87736*o - 87736*o + t*o**3 - 12*o**2 + o**4 wrt o?\nAnswer: 24*o + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 441 = 2*v, -1057 = -5*v + 4*d + 41. Calculate the remainder when v is divided by 65.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50.693 + 115.579. Let x = y - -0.114. Let f = x - 65. Which is the closest to f? (a) 4 (b) -3\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9303b - 1?\nAnswer: 9303a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -54.1. Let q = 27 - b. Let l = -0.7 - q. What is the nearest to -0.1 in l, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 3.15?\nAnswer: -3.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 4*m**2 + 3*m + 2. Let p be i(-4). Let v be 7*p\/(-21)*3. What is the greatest common factor of 40 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**4*l**2 - 27*b**2*l**2 + 78*l**2 + 2 wrt b?\nAnswer: -12*b**3*l**2 - 54*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.2. Let r be 22\/30 - 4\/10. Suppose x - 16 = 4*o, -3*x - x + 5*o = -9. What is the nearest to f in x, 2\/15, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 79, 174, 317, 514, 771, 1094?\n\"Answer: c**3 + 15*c**2 + c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-608 + 20*x**2 + 304 + 306)*((2 - 2 - 2*x)*(2 + 2 - 2) + 3*x + 0*x - x)*(-1 + 3 - 6) to j*x**3 + v*x + g*x**2 + o and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 212536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let n(t) = 2*t. Let l(i) = -i. Let v be (-16)\/(-3) - 1\/3. Let z(r) = v*n(r) + 8*l(r). Give a(z(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 73 + 5 - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 71.16697\nAnswer: -2277.34304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144254 is divided by 313.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020140642 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/54*669\/(-1115).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*w - 2*s, -14*w + 35*w + 8*s + 0*s = 26*w - 103 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 665112183 to the nearest integer?\nAnswer: 25790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/15 - 4\/6. Let f be 0\/(-2) + s\/(-14). Let o = 0.01135 - 0.01135. Which is the nearest to 0? (a) o (b) f (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 91659504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 13598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4155.918t to micrograms.\nAnswer: 4155918000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 10*t**2 + 13*t - 34. Calculate v(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 53 + 99 - a**2 - 52 as n*a**2 + g*a + s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*w + 10. Suppose 2*u = 4*x + 78, -3*u - w*x + 149 = -0*x. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 19*q**2 - 4. Calculate l(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:41 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Suppose w + 0*w - x = -h, 2*w + 4*h = -8. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12332 a factor of 762117600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 9. Let y be (-1 + (-6)\/z)*12. Suppose -5*v = -3*m + 28, 3*v - y = -4*m + m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*v - 0*s - 1, 0 = 4*v - 3*s - 24. Suppose v*n - 9 = f, 9*n = 4*n + 5*f + 25. Factor -18 - 6 + 18*o + 10*o + 12*o**n - 6*o**3 - 4*o**4 - 6*o**3.\nAnswer: -4*(o - 1)**2*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = -5*y + 420. Solve -5*u = -y*r - 31, 15 = u + 2*r + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 5. Let x be q(-4). Let r be (8\/(-10))\/(10\/x). Suppose -5*v - u + 14 = 0, -3*u - u = 4. Solve v*f - 3 = r*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -1 - 3, -4*f + 11 = 3*i. Let z(v) = 13*v**2 + 5 - f - 4. What are the prime factors of z(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25381 + -19074. What is the highest common divisor of w and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c**5\/5 - 108694*c**4\/5 - 322676*c**3\/5 - 315284*c**2\/5 - 97606*c\/5 + 3754\/5 = 0. What is c?\nAnswer: -1, 1\/29, 1877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -525*d**4 - d**3 + 2*d**2 - 467*d - 3 wrt d?\nAnswer: -6300*d**2 - 6*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2 - 2*s - 2. Let h be i(-3). Let q = -22 + 22.9. Let z = 0.6 - q. Which is the biggest value? (a) z (b) h (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y - 88693 = 176887. What are the prime factors of y?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 84*y - 19. Calculate f(-28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 5.1 (b) -1 (c) -0.2 (d) 0 (e) 1497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 + 3*a - 3. Let y(w) = -5*w + 3300 - 6600 + 3298 - 4*w**2 + 7*w. Let i = -4 + 7. Give i*y(o) - 2*h(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 38*z + 3*x - 12832 = 0, -2*z - x = -6418. What are the prime factors of z?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4383 and 23574?\nAnswer: 34441614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-51)\/3 - -4. Suppose -37 = -7*j + o. Sort -4, -1, j in decreasing order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5*w - 20 = 3*w - 0, -5*w = -5*k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/60) + 5. Put 0, -1, f, -4 in ascending order.\nAnswer: f, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.22? (a) -0.2 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 2 (c) -0.4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, y: 2, j: 10}. Give prob of picking 1 y and 1 j.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -49*f + 17. Let v be g(0). Solve 3*p + v*c - 14*c = -6, 0 = p - c - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/3 + -3 - (-14)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -304*w**3 - 3*w - w**4 + 304*w**3 - 5*w**2 in the form r*w**4 + a + o*w**3 + z*w**2 + h*w and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 45 + 17. Let b(q) = 1 + 6 + 18*q**3 - 5*q - q**2 + 3. Let p be b(d). What is the highest common factor of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:36 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -34*r + 31*r + 62, 0 = i - 2*r - 52. Let u = 6 - -1. What is the remainder when i is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10527651*v**3 + 4234002*v**2 - 169627*v + 1542564*v**4 - 5970042*v**3 + 10584 - 23867*v**5 - 229265*v + 32736*v - 12634*v**5.\nAnswer: -3*(v - 21)**2*(23*v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.27487 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400972 (base 15) in base 8?\nAnswer: 67030061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x. Let a(q) = 255*q. Let v(o) = -25*o. Let k(n) = -4*a(n) - 42*v(n). Determine k(i(f)).\nAnswer: -390*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -90051981 at least -450259911\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 6765843384?\nAnswer: -6765843386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 14*o**2 + 2*o + 19. Calculate h(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*i + 104*i + 120. Calculate the greatest common divisor of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 2 (b) -0.5 (c) 1\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3542\/(-8) + 6\/8. Let h = -215 - a. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000780476156 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(10\/40*-2). Let q be (-2 + 1)*(0 - 2). Let j be 0\/(-4 - (q + -4)). Solve 2*p - 4*c + 14 = j, -p + 3*p + 5*c = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let v = 0.11 - 4.11. Let j(t) = -t**3 - 3*t**2 + 2*t + 3. Let r be j(-3). Sort u, v, r in ascending order.\nAnswer: v, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -122.5. Let l = -108.5 - v. What is the third biggest value in 1, 2\/11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9540414.\nAnswer: 2, 3, 13, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -2235158?\nAnswer: 12\/1117579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:18 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4883\nAnswer: -4881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1 = 0, 5*q - 2*l + 190797 = 190805 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 + k**3 + 5*k + 0*k + k - 2*k**2 to y + v*k**4 + p*k**2 + l*k + d*k**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2460\/204 + -35 - (-26 - -3)) + (-985)\/(-17)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqffkgmm. What is prob of sequence mqk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d - 25*d + 14*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6447 - -6733. Solve -t - 86 = 62*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = -6. Suppose 0 - 6 = -m*n. Solve 0*t = -n*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582 and 102?\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50076 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (54\/297)\/((-88)\/(-32670))*(-8)\/10\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1290 + -154801\/120. Let v = m - 89\/120. Let n be (7\/4 - 0) + (-1)\/(-4). Sort 0, n, v in descending order.\nAnswer: n, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(462)\/sqrt(44) - sqrt(42))\/(sqrt(22)\/(sqrt(44)\/sqrt(4))))\/((sqrt(378) + (sqrt(378) - (-1*sqrt(378)*2 + sqrt(378))) + sqrt(378))\/sqrt(6))*2)**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -1000001011?\nAnswer: 111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235 * -0.5.\nAnswer: -117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/35 - 540\/(-105). Let c(m) = -m + 1. Let q be c(1). Put g, -15, q, -5 in descending order.\nAnswer: g, q, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -3 + -11 + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 + -1.37.\nAnswer: 293.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -2*j**4\/3 + 5*j. Let q(c) = -35*c**2 - 29*c**2 + 62*c**2. Calculate w(q(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3336 and 109\/48?\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 + 13*m**2 + 14*m**2 - 27*m**2.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, g: 2, b: 7, e: 3}. What is prob of sequence beg?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(3\/(-2)). Let u = 131184\/7 + -18741. Let l be 3 - (-1 + 34\/9). What is the nearest to u in b, -2\/5, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7532c (base 14) to base 13\nAnswer: 9bc13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-45)*18)\/((-54)\/(-5)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261.48 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2190168840.8 - -2190169170.80000154. Let i = 330 - j. What is i rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, -5\/2, -25, 5, -1\/18, -5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6258269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -724 - -1768. What is the highest common factor of l and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 7*p**2 - 7*p + 4. Suppose -3*r - 3*m = 2*m + 43, -r + 3*m + 9 = 0. What is the remainder when t(r) is divided by (-3)\/(9\/(-13)) + 70\/(-210)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1253 - 1180. Suppose 3*o = 4*q - 48, -o - 4 - 7 = -q. Calculate the remainder when z is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69637319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/8, -2, -20.\nAnswer: -20, -3, -2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2679 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 b, and 1 y when four letters picked without replacement from {b: 5, y: 3, w: 4, d: 1, r: 1, e: 3}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -13. Let u = -1 + m. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 206\nAnswer: -5\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, 36, 5\/3, -1\/2, -172, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 3*b + 16, -3*l + 4*b = -28. Let x = l + -24. Let g be 2\/x*(-16)\/12. Is -1 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022020719 to the power of 1\/2, to the nearest integer?\nAnswer: 31969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196988 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, v: 1, d: 7, w: 5}. Give prob of picking 2 i.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*q + 12, -3*y - 4*q + 14 = -6*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*v = 6, -5*k - v + 12 + 18 = 0. Let z be ((-24)\/22)\/(k + -8 - 0). Factor -16\/11*x + 8\/11 + z*x**2.\nAnswer: 2*(x - 2)*(3*x - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Suppose 0*c = 2*z + c - 114, -5*z + 287 = g*c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from {j: 11, s: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-405)\/(-576)*(-632)\/(-237)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92489 - 92489 + 2*h**2 - 17*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, -218, -19138 in decreasing order.\nAnswer: 3, 1, -4, -218, -19138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-15) - (154\/(-5) - -1). Which is smaller: 31 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 15282.\nAnswer: 290358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-3)\/(9\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4\/7, -4 in descending order.\nAnswer: 6, 4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/(-165) - (-12)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 y when three letters picked without replacement from hhyyhdyyhjhhhhjyhykh.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 + -4.37. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 7. Suppose 7*c + 3*c = -20. Let b be z(c). Suppose 0 = 5*n + i - 5*i - 305, -n + 61 = -b*i. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74*r**4 + 49*r**4 - 78*r**4)*(7 + 2 - 5) to d*r + q*r**3 + x*r**4 + c*r**2 + u and give x.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2966 and 3338233?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*k - 34. Which is smaller: k or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) 3 (c) -2 (d) 2 (e) 2\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*p - 16 = 0, p = -3*h - p - 7. Let x be ((h - 1) + 18)\/1. Suppose -3*d = 30*d + 3*d - 3*d. Solve -3*t + x - 6 = d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38069962.\nAnswer: 2, 7, 479, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 849 and 182685273?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -152, 4, 45 in descending order.\nAnswer: 45, 4, -1, -11, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(5*m - 65*m**2 - 127*m**2 + 213*m**2 - 180*m**2).\nAnswer: 159*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 159526961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 760\/836*11\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 177951155, -1\/2, 0.3 in ascending order.\nAnswer: -1\/2, 0.3, 1, 177951155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*z = -t - 7, 2*z - 31 = -5*t. What is the greatest common divisor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/26*4\/(-6). Sort 0, b, -1.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/22 and -34*(-14)\/12*(-1)\/21.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 21 = -4*v, 25*o - 20*o = 5*v + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/7)\/(o\/(o*o*(o*o**(2\/5))\/o*o*o)*o*o)*(o**1)**20 assuming o is positive.\nAnswer: o**(739\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 709882219 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/(90\/270)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.356*-8.\nAnswer: -106.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 8, 5*c + 2*t - t + 814 = 0. Let x(i) = -i**2 + 6*i - 2. Let s be x(6). What is the common denominator of -97\/10 and ((-2)\/32)\/(s\/c)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1568).\nAnswer: 5 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3826*f. Let u(v) = -224*v. What is u(s(y))?\nAnswer: 857024*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (104\/7)\/8 + (-1)\/(-7). What is the tens digit of 223 - -1*((-4)\/2)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + -14 - (96 - 103)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8045 + 8042. What is the nearest to -3\/365 in j, 2, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/210*3\/(-11)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2810\/17, 4, -0.4, -0.051, 0.5 in descending order.\nAnswer: 2810\/17, 4, 0.5, -0.051, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 21 - 9. Which is the closest to 2? (a) 0.3 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 divided by -111391?\nAnswer: -292\/111391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 929\/6833 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q - 3880 + 300 = -94*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -315081 times 1294\nAnswer: -407714814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2033 divide 58948814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 7*o**3\/6 - 9*o**2\/2 - 2124*o. Let h = -5 - -9. What is the remainder when 70 is divided by b(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 8*a + 6. What is i(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7515477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 288 (c) 5 (d) 3 (e) -1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4316392 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082646 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 0 - 11\/5*b + 2*b**2 + 1\/5*b**3 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:44 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22234 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*(l\/((l**(2\/29)\/l)\/l))\/l)**(-2\/5)\/(l**7*l\/(l*l*l**(-1\/4)*l*l))**33 assuming l is positive.\nAnswer: l**(-79937\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*408\nAnswer: 85.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 143*c + 49. Let u(d) = d**2 + 5*d + 11. Let z be u(-3). What are the prime factors of i(z)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + (sqrt(672)\/(sqrt(96)\/sqrt(8)) - sqrt(56)))\/sqrt(8).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*b**3 + 27*b**3 + 37*b + 24*b**3 + (-4*b + 2*b + b)*(b**2 - 2*b + 2*b) in the form n*b**2 + p*b + r + i*b**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/252 and 29\/12498.\nAnswer: 524916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 165*n. Let i(x) be the second derivative of -16 + 0*x**3 + 1\/6*x**4 + 0*x**2 - 8*x. What is i(d(j))?\nAnswer: 54450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 7. Let j be w(10). Let d be 4*(j\/30 - 3). Is -2 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -0.1 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**3 + 18570*w**2 - 698440*w = 0.\nAnswer: 0, 38, 3676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79460626013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 84. Let z(d) = -d**2 - 2. Let b(q) = -8*q**2 - 17. Determine a*z(y) + 6*b(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3 - 3*j + 7 - 3 + 2*j. Let h be r(7). Which is smaller: h or 2\/23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n - 0*n. Suppose 0 = c + r + n*r - 14, 24 = 4*c + 4*r. Suppose 3*l + c*l = 105. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 5*w + 4. What is the remainder when 18 is divided by a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Suppose 0 = -3*s - 2*v + v - 5, -3*s + 3*v = -15. Let n(p) be the second derivative of s*p**2 + 0*p**3 + 5\/12*p**4 - p + 0. Calculate b(n(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219 - 177. Calculate the greatest common factor of i and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1874 + 1873.9998712. What is k rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013042891 to six dps.\nAnswer: 0.001304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 325879672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 86 = 22. Suppose 3*d - 250 = 5*d + 4*t, 4*d + 500 = -5*t. Let r = d - s. Calculate the common denominator of -97\/4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 18*t**2 + 22*t - 41. Let h be r(19). Which is the fourth smallest value? (a) -6 (b) h (c) 3\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.019 in -2\/11, -3, 261, 5, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 1*(-3)\/3. Suppose 3*u - 5*z - 220 = -b*u, 2*z + 168 = 4*u. Let n be 28\/6 - (-4)\/12. What is the greatest common divisor of u and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) + sqrt(2112)*-3)\/(3*sqrt(11)*-1).\nAnswer: 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -36*m + 3*m + 15624. What is the smallest common multiple of m and 432?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2817*t = 9864*t + 229401 + 59526 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.326311 times 121\nAnswer: -39.483631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 5*p + 4*p + 24*p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 55 + -5 + 1. What is the highest common divisor of s and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + 57. Let o = j + 15. Let l(n) be the second derivative of -n**3\/3 - 5*n**2\/2 + n. Calculate l(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711095519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029834001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 491, 526, 561, 596, 631, 666?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61103 (base 7) to base 8.\nAnswer: -34721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 262097 - 149703. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*o + 16, 2*o + 7 = -3*n + o. Let s be ((-24)\/20)\/((-3)\/(-10)). Sort n, s, 4, 5 in descending order.\nAnswer: 5, 4, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394939480 + 394939377.9999966. Let f = -102 - u. Round f to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*b = 16, 5*b = 10*q - 14*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 14*x - 9. What is the lowest common multiple of 9 and h(3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-495)\/264)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 5 - 2 + t**2 - 5*t. Let n(y) = 7*y - 8. Let l be n(2). Let u be (-27)\/(-5) + 2\/(-5). Let v(s) = -s**2 + s + 8. Determine l*f(j) + u*v(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/5*(-20)\/6. Let k(r) = -r**2 + 4*r - 1. Let h be k(c). Let u(t) = -5*t**3 - t**2. Give u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 58 + 126. Solve -t = -2*o - 3*f, 0 = -4*o + o + 4*f - 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553371\/3 not equal to 517790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**3 - 7*x**2 + 5*x. Let g(k) be the second derivative of 11*k**5\/20 + 2*k**4\/3 - k**3 + 2*k - 91. Calculate -5*g(d) - 6*n(d).\nAnswer: 5*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 8*m - 19. Let j be q(5). Suppose -y = 0, -1 = -4*w - 3*y - 17. Do w and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 132, 9, 3\/4, -2, 1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979405 divided by -15?\nAnswer: -395881\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 2, e: 7}. Give prob of picking 2 m.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 27 = -0. Let g be 5 - (-1)\/(u\/(-6)). Solve 5*s = -5*x - 10, 0 = g*s - 2*x - 3*x - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = -4*k, -5*k + w + 2 + 9 = 0. Let o be -4 + k + (-3)\/(-3). Is 338 + -1 + (o - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 16*o**2 - 2*o + 18. Let v be d(13). Let n = 4026 - v. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:49 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2352*g**4 + 4248*g.\nAnswer: -28224*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i + 5*s - 214, 0 = -s - 2. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7236985 and 24326.\nAnswer: 14473970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/12)\/((-2)\/12). Suppose -o*l + 10 = l. Suppose 0 = -p + 3*b + 46, -l*b = -0*p + 2*p - 108. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -675592, -675632, -675694, -675790, -675932, -676132, -676402?\n\"Answer: -2*p**3 + p**2 - 29*p - 675562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 3302?\nAnswer: 208026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 304508509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + (4800\/(-12))\/(-50). Find i such that 24\/13*i**3 + 2\/13*i**5 + w*i**2 + 0*i - 2*i**4 + 0 = 0.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -61*v**2\/2 + 9*v - 8. Is k(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from xssxcqmmxcccxm.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + k - 3 + 4*k.\nAnswer: 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 25.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 19 = -5*z, -5*z - 1 = -2*z + 4*t. Let g = z - -21. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 11*s**2 + 16*s - 16. Let f be h(10). What is the first derivative of 197*a - 198*a + 3*a**2 - 15 - f + 9 wrt a?\nAnswer: 6*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(4455) - sqrt(4455))*3)\/((sqrt(105)\/sqrt(3)*2)\/(sqrt(700) - sqrt(700)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 577*a - 123469. Determine f(214).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.6 - -154.2. What is x rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(-3*3\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 758 + -798. Let r be (-2 + 4)\/((-2)\/2141). Let s = r - -38569\/18. Find the common denominator of s and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 925244.\nAnswer: 925243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33 times 293024.3\nAnswer: -9669801.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27099*j**3 + 14723*j wrt j?\nAnswer: -162594*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -7)*(-4)\/(-192)*4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*j - 1\/5 - 1\/5*j**4 - 6\/5*j**2 - 4\/5*j**3 = 0. What is j?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 - 2*d + 4. Let c be 4\/4*0\/(-2). Let l(i) = -2*i**3 + 7*i + 7*i**2 + 4 + 1 + c + i**3. Let a be l(8). Determine v(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 8:57 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11871403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19090 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -14*p**4\/3 - 134*p**3\/3 + 536*p**2 + 10760*p\/3 + 5600\/3 = 0.\nAnswer: -14, -5, -4\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 11) to base 5.\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 6030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66 - (-39 + 79)) + -30 + -44.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(-3)\/y)))\/(y**(2\/47)*y))\/((y*y\/((y**(-1\/5)*y)\/y)*y*y)\/(y\/y**(1\/7)*y)) assuming y is positive.\nAnswer: y**(-12149\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (125 - 130) + (-19 - -1) + -64?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79254 and 88060?\nAnswer: 792540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -8. Let j = 2 + -2.4. Let r = j + 0.4. What is the closest to r in 1\/11, -1\/5, m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/27, 47.76, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81212, 81257, 81288, 81299, 81284?\nAnswer: 81237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - n + 2*n = -4*n + 8 - 3, 0 = -209*n - 68*n - 554 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2032020030 (base 4) to base 13.\nAnswer: 174c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -3)\/(0 - -2) + 5. Let x(f) be the third derivative of 1\/2*f**p + 0*f + 8*f**2 + 1\/30*f**6 + 1\/3*f**5 - 6*f**3 + 0. Factor x(z).\nAnswer: 4*(z - 1)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 128580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/7 - 245440*w**2\/7 + 3767502800*w\/7 - 75251912000\/7.\nAnswer: 4*(w - 30670)**2*(w - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4425, 4430, 4435?\nAnswer: 4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3876*r - 3876*r - 77*r**2)*(2*r + 1 - 1).\nAnswer: -154*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012881703 rounded to six decimal places?\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 3. Let b be l(-3). Suppose 0 = -21*h + 24*h - b. Let x(u) = 2*u - 4. Calculate x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/7 + 5336*p**2\/7 - 26722*p\/7 + 21384\/7 = 0. Calculate p.\nAnswer: -2673, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23827594.\nAnswer: 2, 7, 1701971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 + ((-165)\/6 - 3). Let u = 36 + f. Sort -2, u, -5, 1 in descending order.\nAnswer: u, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -112\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601752416?\nAnswer: 2, 127, 263, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2924699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*p**2 - 83 + 60*p**2 + 83 + 59*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from wskwbpwwpppwpp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/571205 or -1?\nAnswer: -6\/571205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 74*x**2 - 208*x - 188. Calculate p(-34).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34387 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*a - 11 = 0, -16*n - 11 = -17*n + 3*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-208) - (-4)\/(-64)*-22. Which is the nearest to 3? (a) -2 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/18 + (-1)\/(-2). Let p be j\/(-1 - 0) - -4. Solve p*n + 0*x - 2*x = 0, n - 5*x + 18 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295446 is divided by 524?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 820715837 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -550, -1243, -2214, -3463, -4990, -6795?\nAnswer: -8878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 300*s**2 + 40*s - 69. Is 108 a factor of v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 541.48 - 542. Let y = 0.62 + w. Which is the closest to y? (a) 0 (b) 2\/5 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 9*u - 170. What is d(24)?\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a**2 + 431*a - 4794. Let o(k) = -19*k**2 - 430*k + 4789. Let b(x) = -3*j(x) - 2*o(x). Differentiate b(q) wrt q.\nAnswer: 10*q - 433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -13. Let v be (-208)\/(-20) + s\/10. Let b = v + -5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 2\/5234813 (c) -0.4 (d) 0 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 - -221.3?\nAnswer: 680.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 78*q - 38*q - 194. Let l(a) = 2*a - 5 - 8 + 5000*a**2 + 1. Let x be l(q). What is x rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t + t - 12*t**2 + 12*t**2 - 3*t**2 + t**3 + 2 - 5. Give o(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 523.9 - 501. Let f = w - 23. Let b = 87 - 521\/6. Which is bigger: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 164160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14807284381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 21 + 67. Let g(v) = v**3 - 32*v**2 - 161*v + 624. Calculate the remainder when h is divided by g(36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u + 25 = 0, -2*u = 5*x - 5. Solve -4*l = 5*d - 25, 5 = d - x*l + 6*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -17\/3*o**3 - 17\/2*o**2 - 17*o + 1\/4*o**4 - 5. Calculate the least common multiple of 9 and p(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -132?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 151996 and 135880.\nAnswer: 65358280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197191?\nAnswer: 31, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 + -9 - (17 - (7 - (13 + -19)))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 163014 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5770.967nm to millimeters.\nAnswer: 0.005770967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1479, -1198, -917, -636, -355, -74?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 28 = 4*k, 5*k - 4*z - 32 = -z. Suppose -4*f - 6*a + a = -1950, 0 = k*a - 8. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, a: 3}. Give prob of picking 3 a and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1760, -1761, -1762, -1763?\n\"Answer: -y - 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y - 13*y)*(0 + 2 - 1).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 10106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*o + 11*o + 9*o - 35*o - 3.\nAnswer: -52*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5208 + 4092 + 15745 - n + 13472.\nAnswer: -n + 28101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 2*i + 12. Suppose -3*j + s = -1 - i, -4*j = 2*s - 14. Let x(w) = -9*w**2. Let a(o) = -o**2. Determine j*x(g) - 14*a(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + 11 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-6)\/18) + 6. What is the highest common divisor of 85 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13907 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.3954 and 0.72?\nAnswer: 4.604688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 36420 = -23388. Does 32 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q = 147*q - 32*q + 3011 + 2599 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -18, -32, -40, -36, -14, 32, 108?\n\"Answer: q**3 - 6*q**2 - 3*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*m - 1, -2*h = -m - 4*h - 3. Let d(y) = -9*y**2. Let r(v) = -6*v**2. Give m*d(k) - 8*r(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:14 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5956382 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = 5*l - 9*z - 132, -84 = -3*l - 3*z. Solve i - l = -7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * 1885856\nAnswer: 4337468.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48484 is divided by 12119.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + s**2 + 3*s**2 - s**2 + s**2 - s**2 + 0*s**2 + 2*s**2 + 4*s**2 + (-5 + 1 + 3)*(s - s**2 - s) - 2*s**2 - s**2 + s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 580849 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 109 + 29 = 0. What is the highest common divisor of k and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**2 + 1833*h + 2303. Give g(154).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 453678919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 97*z**3 + 66*z**4 - 68*z**4 in the form o*z + c*z**3 + g*z**4 + u*z**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r - 1. Let t be k(-1). Let i = -4 + 10. Let z = t - i. Solve -z*h + 2*q = -4, 5*q - q = -16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 5:05 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 22*a**2 - 21*a + 17. Let d be i(23). Let n = -58 + d. Let g(r) be the second derivative of r**3\/3 - 3*r**2\/2 + r. Determine g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -203, -777, -1737, -3089, -4839, -6993?\n\"Answer: -a**3 - 187*a**2 - 6*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3143220 and -392685.\nAnswer: 2750535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q + 5, -q + 25 = -5*c. Let i(r) = -r**2 - 7*r - 3. Let p be i(c). Suppose 0*o = -p*o + 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4*(-24)\/30. Let w be u*(-1 - 0\/1). Solve -w*v = 3*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1719*r**3*x**3 - 36*r**2*x**3 + 7*x**3 + 3 wrt r?\nAnswer: 10314*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.28? (a) 2\/7 (b) -0.1 (c) 0.1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from {o: 2, w: 2, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -2\/11, 0.7, -15, -0.1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6827*a**2 + 2418*a - 2.\nAnswer: 13654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 >= -243\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 87. Let j(h) = 14*h - 262. Let i(x) = -17*c(x) - 6*j(x). Let g(r) = 25 - 39 - 3*r + 4*r + 14. Determine i(g(d)).\nAnswer: d + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -23. What is the remainder when 139 is divided by a*-1*58\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 6*s**2 + 10*s + 61. Give z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 9) to base 10.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12913?\nAnswer: 37, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + -129. Which is the fourth smallest value? (a) -0.2 (b) -1\/7 (c) j (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7051 - -10)*3\/(-9). Suppose -4*o + 0*b = 4*b - 2344, -4*o + r = 5*b. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 84156020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2446*i + 2450*i - 36 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*p - 22 + 14 + 8)*(4*p**4 - 7*p**4 - 14*p**4).\nAnswer: 2516*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-1\/3)\/f)))\/f*f)**49*(f*f\/f**(2\/7)*f*f)**(-49)*(f\/(f\/(f*f**1)))**(2\/17)\/((f**8\/f)\/f*f*f*(f\/(f\/f**(2\/7)))\/f) assuming f is positive.\nAnswer: f**(-90815\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 - 52*r - 338 = 0. What is r?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -37. Let a be (-2099)\/z - 6\/(-24). Let q = -75 - a. Put q, -0.3, -0.4 in decreasing order.\nAnswer: q, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 43. Is i(-12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jne when three letters picked without replacement from {n: 2, i: 3, e: 2, j: 8}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 9. Let a(b) = 2*b - 9. What is -3*a(h) + 4*j(h)?\nAnswer: -2*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 15 = -5*u, 3*u - 4*n + 9 = n. Sort 3, u, 11.\nAnswer: u, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 + 103. Solve -5*i - 5*j + a = 0, 0 = i - 5*i + 5*j + 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 129 = -12*i. Suppose -g + i + 260 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26292.32139 and -1002?\nAnswer: 25290.32139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, h: 4, k: 2}. Give prob of sequence khhh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 58712*b = -58715*b + 30, 4*l = 15*b - 74 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 1, 3, 0.11 in increasing order.\nAnswer: -5, -0.1, 0.11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 81. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**5\/45 - v**4\/9 - 16*v**3\/9 - v**2 - v + 67. Let i(n) be the second derivative of r(n). Solve i(x) = 0 for x.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 1. Let r(k) = -10*k**2 - 6. Let l(h) = -h**3 + 8*h**2 - 2*h + 27. Let t be l(8). What is t*d(f) - 2*r(f)?\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/761, 1\/4, -3\/5, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 4 - -5)\/(-1 - -2). Let f be (-268)\/(-2) - -3*(0 - h). Let a = f + -72. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 47 = 3*d + 2*c, 4*c = -5*d + 77. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*q - 2, x = -4*x + 5*q + 15. Calculate the remainder when 46 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1140 and 207195.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 104. Suppose 200 = -3*w - 2*m + 668, 143 = w + p*m. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4915266137\/152051184 - 3\/1055911. Let s = -35915\/4 - -143181\/16. Let i = h + s. Find the common denominator of i and -61\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 705*o - 13. Let w(g) = 740*g - 12. Calculate 5*w(s) - 4*x(s).\nAnswer: 880*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 3077235.\nAnswer: 33849585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 - 7. Calculate k(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/((-4)\/(-3)))\/((-297)\/(-792)). What is the third smallest value in 0.417, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918, -717, -516?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4633 = -5*o + 4656, -5*o + 4*u + 16 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - c**2 + 10*c + 4. Determine m(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*p + 2040 = 1023*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let y(r) be the second derivative of 1\/3*r**3 + 0*r**2 + 0 - 2*r. Calculate y(n(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/60 - 11*o**4\/24 - 3*o**3\/2 - o**2 - 40*o. Determine t(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01179 + 0.0517.\nAnswer: 0.03991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/50*(-1 - -2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 + -3 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, d: 6, q: 4}. What is prob of sequence rrqq?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5917035, -5917036, -5917037, -5917038, -5917039, -5917040?\nAnswer: -5917041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -57895880 smaller than -57895882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*d + 93*d = 3*v - 8838, v + 4*d = 2940. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/443 - -2282\/241435. Let p = h + -2623\/55590. Calculate the common denominator of p and 8\/33.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-1890)\/(-162)*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2315\/(-15) + 8)\/(1\/3). Let z = i + 441. Let v(c) = c**2 + c. Let r(o) = -6*o**2 - 5*o + 1. Let a(h) = r(h) + 3*v(h). What is a(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009049 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**2 + d**2 - 3*d**2 - 23*d**6 wrt d?\nAnswer: -2760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 4*f**3\/3 - f**2\/2 - 8*f. Let s = 58 - 36. Let c(g) = 2*g. Let w(j) = s*c(j) - 6*q(j). Differentiate w(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 9:48 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4\/5 of a kilogram?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 7*r**3 + 46251*r**2 - 46251*r**2 - 9*r**3 + 16*r**3.\nAnswer: 14*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(76) + sqrt(76) + sqrt(76)*-1*-6)**2 + (-5 + (sqrt(76) - (1 + sqrt(76)))**2 - (sqrt(76) + 0 + 3 - sqrt(76))))*6 + -5.\nAnswer: -116597 + 768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/3 + 7*b**3 - 11*b**2 + 1544*b. What is j(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 222368153 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baa when three letters picked without replacement from baaabbaaaab.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {z: 10, g: 1, s: 7}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 26*g - 75. Let p be m(3). Suppose h - h = p*h. Solve h*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/65 or 0?\nAnswer: -42\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5402659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + 9 + -19 + 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 4*n - 86269*n**3 + 43134*n**3 + 43132*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15)\/((-26)\/(-6))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -852 divided by 6.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2*q*x - 2*o**2 - 1546*o*q**3 + 472*q**3*x wrt x.\nAnswer: -o**2*q + 472*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g**3 + 5*g**2 + 9*g + 31. Is s(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2 and -43\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 3*z**2 - 49 + 48 + 1.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 - 12*c**2 - 11*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798\/(-147) + (-3)\/(21\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-54)*(-3)\/2*126\/315*9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 0 + 10*s - 5 - 10*s - 4*s to the form u*s + b + z*s**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 48. Let h be g(21). Let x(t) = -t**3 + 2*t**2 + 2*t. What is the remainder when 36 + ((-2)\/3)\/(24\/h) is divided by x(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(12\/9))\/(6\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*6\/(-36). Let t = -31435 - -31399. What is the third biggest value in d, -2\/11, 1\/6, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*b - 160 = -0*y, y - 4*b = -86. Let h = y - -72. Suppose -h*d + 140 = -5*s, 3*s - 115 - 53 = -3*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 4*n)*(-13*n**2 - 32*n + 32*n)*(38*n**2 - 265 + 265)*(6 - 1 + 2).\nAnswer: -10374*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*r**2 - 3421*b**3*r - 9534*b*r**3 - 4*r wrt r?\nAnswer: 6*b**3 - 57204*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/6 - z**3\/3 - 7*z**2\/2 - 19*z. Let g be t(3). Solve g*w + 10 = -0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 74. What is the second smallest value in k, -38, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**4\/6 + 69*o**3\/2 - 12*o**2 - 3*o + 1. Differentiate j(b) with respect to b.\nAnswer: -4*b + 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*j + 78, -j + 9368*i - 9300*i = -53 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 132*w**3 - 2*w**2 + 10*w - 18. What is the lowest common multiple of g(2) and 9?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6177, 53, -192, -4, -5 in descending order.\nAnswer: 53, -4, -5, -192, -6177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.16425 hours to microseconds.\nAnswer: 76191300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017461787 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 8*z**2 + 26. Let m be r(-5). Let g = 895\/3 + m. Which is the closest to -1? (a) g (b) 0.5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 768, 3192, 7232, 12888, 20160, 29048?\n\"Answer: 808*i**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1552.94 and 395259.\nAnswer: 393706.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262090.\nAnswer: 2, 5, 61, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181133.9 kilometers in millimeters?\nAnswer: 181133900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 22*y + 1. Let i be n(-23). Suppose 21*h = i*h - 627. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 9*p**2 - 5*p - 11. Let b be l(8). Let v = b + -39. Is 13 a factor of (-4 + 15\/6)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15764 (base 8) to base 2\nAnswer: 1101111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = 0. Suppose -11*i + 6*i + 15197585 = m. Let t = 5639517 - i. What is t rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - (17 + 31 - -23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/60 + 131*s**2. Let z(n) = -1883*n. Determine z(k(h)).\nAnswer: 1883*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2052 less than or equal to -2052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -3*1*sqrt(171))\/sqrt(9).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(605) + -5 + sqrt(605)*2))**2 + 5.\nAnswer: -11880*sqrt(5) + 196925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3158 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.508 + -0.492. Which is the closest to p? (a) -4\/3 (b) -0.2 (c) 0.43 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + -2 + sqrt(300) + 0 + -3) + -2.\nAnswer: -30*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63041.5um to millimeters.\nAnswer: 63.0415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29930015 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*g = 439*g - 68 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tutntuuutngwug. What is prob of picking 1 u and 1 n?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12591567958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -4*n - 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*w - g - 18, -3*w - 5*g = -5. Let f = 3 - w. Suppose 2 = t + 5*q, 3*t + 54 = f*t + 3*q. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.383 + 0.383835. Round g to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2378, -4939, -7476, -9977, -12430, -14823?\n\"Answer: 2*x**3 - 2575*x + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2778*w**3 - 3*w**2 - 8*w - 3. Let g be f(-6). Suppose -2399991 = 4*s + 3*u, s + 7*u + g = 2*u. Round s to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - ((-12)\/22 + (-610)\/(-110)). Suppose 2 = -5*w + 12. Solve 0 = c - q*u + 9 - w, -3*c = 5*u + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 29646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -9 - (126 - 123)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-910)*33\/((-2541)\/(-110)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -141, 0.3?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6*(3 + -114). Suppose -3*z + v = 16. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29100\/49 greater than or equal to -594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 3 (c) 7 (d) 0.05065 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (1470\/(-21))\/(-7)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3\/2, -1\/19, 2.5, -21?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-126) + (-8)\/36?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -10 + (-6 - (0 + -11)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -17*g - 332. What is z(-19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 + (-41)\/3. Let r = p + 23. What is the remainder when r is divided by (-50)\/15*3\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00424 and -2.\nAnswer: -2.00424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u + 15 = 0. Let j = 15\/106 - -23\/212. Which is the smallest value? (a) j (b) 3\/4 (c) -4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from lllllyellllxylylyyl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 9*v**2 - v + 13. Let p be a(9). Let h be 1*8\/p*17. Let l = -19 + h. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**2 - t**2)*(-109*t**3 - 17*t**2 + 27*t**2 - 10*t**2).\nAnswer: 218*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:34 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m = -38*m + 18. Suppose 5*i - m*a = 45770, -2*i + 13570 = -a - 4737. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:00 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*i - 46 = 0, 2*i + 16 = -2*i. Let s(l) = l**2 - 12*l - 9. Let g be s(5). Let b = g - k. What is the remainder when 67 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5\/2 (b) -1\/5 (c) -0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1262, 1270, 1278, 1286, 1294, 1302?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 - 0.11. Let p = -7 + -1. Let v be (-4)\/6*p\/32. Which is the third smallest value? (a) v (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 4*f**3 - 2*f**3)*(4*f + 8*f + 3*f) + 30*f**4 - 21*f**4 + 95*f**4.\nAnswer: 89*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -u + 3*l + 30, -3*u + 2*l + 5 = 0. Calculate the lowest common multiple of 11 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-90)\/36*24\/(-10). Suppose -a*l + 762 = 84. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20832 and 6\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/6 - 13*y**3\/6 + y**2. Suppose 3*w + 20 = a, -89*w + 4*a + 18 = -91*w. What is the tens digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) 0 (c) -358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 36 - (57 - -2)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/96 and -47\/15552.\nAnswer: 15552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)*70\/1435\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 3*p)*(-13 - 2*p + 13) - 6*p**2 - 7*p**2 - 17*p**2.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 1888*z. Let u(c) = -c**2. What is x(u(g))?\nAnswer: -2*g**4 + 1888*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360 - 295. Calculate the remainder when 5393 is divided by i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1375? (a) -179.79 (b) -3 (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3 + 11*k**2 - k - 11 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/l)**41 assuming l is positive.\nAnswer: l**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 - 2.448. Let u = -127.048 - o. Let c = 127.00106 + u. Round c to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 146?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-2\/39)))**(-50\/3) assuming x is positive.\nAnswer: x**(-2050\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1818 - 10350.\nAnswer: -10353.1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 771*w + 6146*w + 6018*w - 1768*w - 1106*w in the form q*w + c and give q.\nAnswer: 10061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-210) - (15 + (-5373)\/360)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.011 - -7.441. Let j = 0.43 - q. What is the third smallest value in 1\/2, -0.1, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000454581 to 6 decimal places.\nAnswer: 0.000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -525*c**4 - 48*c**3 + 81188 wrt c.\nAnswer: -2100*c**3 - 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3022261387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 917430 rounded to the nearest 10000?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/42)\/(4\/8)*3. Let g(x) = 73*x**2 - 24*x - 1. What is the remainder when 287 is divided by g(s)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2484 + 894. Let a = 2333 + m. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12150541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 n when three letters picked without replacement from {e: 1, x: 2, v: 1, d: 1, n: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/5 - 146806*a + 26940002045 = 0.\nAnswer: 367015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 86. Let q = -0.99955 - u. Round q to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**2 + 631*k - 390. Give z(90).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 458 + -457.3. Let w = 21 - 20.4. Which is the biggest value? (a) -2 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12775 + 4?\nAnswer: -12771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 8. Let i be 13 + (-2 - -1*4). Let b = i + o. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 265 or -401?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2667 - h**2 + 3982 - 3*h**2 - h**3 + 4*h**2 as c*h**2 + f + w*h + t*h**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 170. Which is the biggest value? (a) -7 (b) -4\/7 (c) r (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*d - 56984 = 1214*d for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 - 1\/2. Suppose 3*j + 18 - 27 = b. Let o(h) = 36*h**2 + 4*h + 1. Is o(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -42.0733 (b) 0.07 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - w = -12, 0 = i + 2*i + 3*w. Let z be (-27)\/78 - (i + 56\/26). Let r = -14 + 6. Which is the nearest to -2\/7? (a) z (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7000456*r**5 + 4*r**3 + 20250*r + 1301 wrt r?\nAnswer: 140009120*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107, -92, -77?\n\"Answer: 15*b - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -405*j + 3310. Determine g(8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420365806 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*k - 6, 5*b = -k + 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4*q - 2)*(-925*q - 1093*q + 441*q - 170*q) to the form u*q**2 + n*q + i and give u.\nAnswer: 6988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 57*p**2 + 783*p - 129. Calculate t(23).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360 - -356) + (1 - 15) + 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-210)*120\/(-80).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 2. Let x(c) = -2*c - 4. Let d(a) = -a - 2. Let r be d(0). Suppose -18 = 2*b - 4*b + 4*w, 3*b - 23 = 4*w. Determine b*z(p) + r*x(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/315 - (-2)\/(-12))\/(1\/10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*4*-2*-5)\/(((sqrt(55) - (sqrt(440)\/sqrt(32) + sqrt(55))) + sqrt(55))\/(sqrt(55)\/sqrt(176))).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -444204313?\nAnswer: 444204313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 167?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2*1)*(-18 + 17). Is 6\/13 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/(41\/246) + 4. Solve k = -5*d - 0*d + 4*m - 36, 2*m = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (51 + (-23 - 5) - (9 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 5. Let o(h) = -3*h + 4. Let k(m) = 3*o(m) + 2*r(m). Let v(g) = -g - 1. Calculate k(x) + 2*v(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 4*t**2 + 3*t. Let z be h(3). Let x = -1 - -6. Let n = 0.6277 - 0.4277. Sort z, n, x.\nAnswer: z, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 3\/7 (b) -0.1 (c) 22 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1221528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290517 and 274944.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 12. Let g(x) = -x + 1. Let o(c) = b(c) + 4*g(c). Calculate o(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 121339 - 8891 = -3*h, -4*h = 3*z - 84361. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 796, 1194, 1592, 1990?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-474)\/790 + (-76)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91012, 91003, 90980, 90937, 90868, 90767, 90628?\nAnswer: 90445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(-4 + sqrt(98) + sqrt(98) + 2*sqrt(98) + sqrt(98) + sqrt(98)*1 + 3))**2*3.\nAnswer: -1905660 + 45360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 3990*z - 23868.\nAnswer: -2*(z + 6)*(z + 1989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39274 - -2 - 1) + -1. Let h = 82274 + t. What is h rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/225 + -373\/225. Let x be 3\/12*46 - (-2)\/(-4). Suppose 13 = -2*y + x. Which is the closest to y? (a) 0.1 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**4 - 1\/6*t**3 - 9 - 2*t + 1\/2*t**2 + 1\/20*t**5. Let v(w) = 3*w - 3. What is -3*o(q) - v(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 + 0 = 47*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4764 (base 10) to base 6\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1\/4, 2.7, 5340, -36?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g - 26. Let i(a) = 4*a. Let r(m) = -5*m + 1. Let j(n) = 7*i(n) + 6*r(n). Let d(z) = -18*j(z) - 4*x(z). Calculate d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 3) to base 10\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1f90ef (base 16) to base 4\nAnswer: -13321003233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-54)*18\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -32, -8, -2, -3, 8 in increasing order.\nAnswer: -32, -8, -3, -2, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/5456 and -89\/1408.\nAnswer: 43648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**2 + 372*j - 2001. Give y(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3\/3 + 220*u**2\/3 + 26912*u\/3 - 75776 = 0. Calculate u.\nAnswer: -64, 8, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -52, -80, -108?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 100155*t**2 - 1801575*t - 8105265.\nAnswer: -5*(t + 9)**2*(t + 20013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/(-3)*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24472751 - 354466.\nAnswer: -24827217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71417 and 9645496.\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 230 + 797 = -4*x, 2*x = -4*z + 464. What are the prime factors of z?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 - 42 + 12 - 260*w**2 - 30 - 12 wrt w?\nAnswer: -520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/2, 0.06, 0.4 in increasing order.\nAnswer: -1, 0.06, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17670691*s**5 + 9*s**3 - 81*s**2 + 800700 wrt s.\nAnswer: -1060241460*s**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 825058 and 260.\nAnswer: 8250580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (339 - 363) + 0 + 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/100 + g**4\/12 - 4*g**3\/15 + 2*g**2\/5 - 2*g. Let j(m) = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1460 - -1465. Let v(o) = -4*o + 0*o + 2*o**3 - 8*o**2 + 7 + 7*o. Is v(f) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*c + 9\/4 + 1\/4*c**2.\nAnswer: (c - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-7) - 2 - (-144)\/(-819) - (-281220)\/(-8385).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2103, 2086, 2069, 2052, 2035, 2018?\n\"Answer: -17*v + 2120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12040 and 22962?\nAnswer: 3214680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 13*r**2 + 20*r + 5. Let i be k(5). Let j be (-6)\/24 - 1\/(-4). Solve j = -2*b + 4*q - 10, 3*b - i = -3*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 18. What is the remainder when 126 + -6 + (-10 - 0) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(-22\/5)\/(k\/k**0)**(48\/7) assuming k is positive.\nAnswer: k**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let g(s) = 10*s + 111489. What is g(i(p))?\nAnswer: 20*p**2 + 111489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22882, 45510, 68138, 90766?\nAnswer: 113394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1998 - -1997. Put r, 1, -6, -2 in descending order.\nAnswer: 1, r, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.3 + -8.3. Suppose -2*i - 2*v + v = 371, 724 = -4*i + 4*v. Let a = i - -1290\/7. Is g < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*o - 4*s + 13, 5*o + 2*s = 62. Let y be (39\/o)\/(7\/28). Does 13 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27285924.\nAnswer: 2, 3, 2273827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*(f*f**1\/f)\/f)))**(-18)\/(f**(-2)*f**4) assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 0.56, 49?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40366345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111212222200121020 - 1?\nAnswer: -111212222200121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27812507 is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111100100001 - -1?\nAnswer: -10001111100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 0.08, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8428 times -9?\nAnswer: -7.5852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)*r\/r**(-5\/3)*(r*r\/(r**(-3)*r))**(-6\/13) assuming r is positive.\nAnswer: r**(-397\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/6 - 5*m**2\/3 + m\/6 + 5\/3 = 0?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6590 divided by 1318?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106128610 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)*c**23\/c assuming c is positive.\nAnswer: c**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 12. Let s be ((-16)\/6)\/(4\/12). Let g be z(s). Suppose 5*b + g*r - 167 = 0, -2*b - 5*r + 6 = -71. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -177? (a) 1 (b) 0.4 (c) 2 (d) -1\/2 (e) 7228\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 20.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 66*v + 282. What is u(-18)?\nAnswer: 3414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m*q**4 - 381*m*q**2 - 388*m - q**4 + q wrt q.\nAnswer: -12*m*q**2 - 762*m - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13179442.\nAnswer: 2, 829, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -1\/8 (c) -38 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x, 0 = -3*y - 0*x - x + 15. Solve 3 = u + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17699 - 9757. What are the prime factors of s?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17090802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 651*r + 163490 = 661*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/(k\/(k*(k**(-4\/11)\/k)\/k)))\/k)\/k)\/(((k*k**3*k)\/k)\/k)*k\/(k**5\/k)*k\/(k*k*k**0) assuming k is positive.\nAnswer: k**(-103\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1052561, -1052539, -1052517, -1052495, -1052473?\nAnswer: -1052451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 3, k: 3}. What is prob of sequence quk?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -22. Let l = 22 + v. Solve -5*p + 4*f + 25 = 0, 7*f = -5*p + l*f + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3969*b + 2079\/4*b**2 + 27783\/8 + 3\/8*b**4 + 24*b**3 = 0. What is b?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418695 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:42 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 318 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 30*m - 40.\nAnswer: -5*(m - 4)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**2 + 2*z - 3. Suppose 0 = -0*h - h - 6. Let d be a(h). Suppose -7*q + 4*q + d = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 4, h: 5}. What is prob of sequence kp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5\/2 (b) -2 (c) -0.04 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -13720*n**3 - 3*n**2 + 3*n + 15. Let l(q) = 27441*q**3 + 7*q**2 - 7*q - 35. Determine -7*d(r) - 3*l(r).\nAnswer: 13717*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtiqiqr. What is prob of sequence vtr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 47*p**3 + 71917*p**2 + 10724*p + 21417. Determine v(-1530).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 88\/7, -1\/6, 6\/65, 0.2, 9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9339321 to the nearest 100000.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 722\/8 + (-1)\/4. Let s be (-2392)\/(-56) + 4\/14. Suppose -10*a + 137 = -s. Calculate the highest common divisor of r and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 + 802*b**3 + 491*b wrt b?\nAnswer: 20*b**3 + 4812*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1020?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**10\/i))\/(i*((i\/(i\/i**(-5\/7)))\/i*i)\/i))\/(((i\/((i\/(i\/(i**(1\/4)*i)))\/i)*i)\/i)\/i*i)**(-13) assuming i is positive.\nAnswer: i**(69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(5\/4)*(m**(-1\/4)*m)\/m assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 73635 + 2370*h**2 + 147280 - 73645 as c + n*h**2 + x*h and give n.\nAnswer: 2370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953354860 rounded to the nearest one million?\nAnswer: -1953000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70*c**3 + 2*c + 84.\nAnswer: -210*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-2)\/64)\/(504\/(-12096))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9*b = 4*q - 89, -3*q = -3*b - 51. What is the common denominator of 4\/19 and 4 + (-4 - b\/(-6))?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h - 5. Suppose -5*t + h*t = -t. Suppose 6*f - 9*f + 99 = t. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdj when three letters picked without replacement from ssjjsjssdj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29370 = -83*y + 116*y. What is the highest common factor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 15) in base 5?\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.8, 0.5, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(567) - 1*sqrt(567))**2 + -4)*-6 - (sqrt(7) + (3*sqrt(7) + 5 - sqrt(7)) + sqrt(7) + sqrt(7) + (sqrt(7) - -1*sqrt(70)\/sqrt(10))**2)).\nAnswer: -5*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*(-39)\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -116075351, -116075353, -116075355?\n\"Answer: -2*o - 116075349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 36*h**2 + 161*h + 187. Determine b(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905340258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1319667?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1700)*3 - 4*(0 + sqrt(17))).\nAnswer: 104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-3\/4))\/f**(3\/2))\/(f**(2\/7)\/(f*(f\/(f**(-6)*f))\/f*f*f)))\/((f**1)**(-25)\/(f**(-2\/5))**(-4\/7)) assuming f is positive.\nAnswer: f**(4437\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49828352 is divided by 193.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 166*j. Let n be k(2). Let v be 4\/30 + n\/(-15). Sort -0.5, v, -1.\nAnswer: v, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/169 in -5, -13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 51. Suppose -k*t = 8 - 68. What is the greatest common divisor of t and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 1, k: 1, q: 1}. What is prob of picking 1 k and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, o: 5, r: 1, a: 4, n: 4, f: 1}. Give prob of sequence nr.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -428.156 - 0.844. Let u = w + 433. Let g = 0.15 - 0.2. Which is the biggest value? (a) 0.4 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -30, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1\/3*l**3 - l**2 - 2\/3*l + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 592, 2457, 4320, 6181, 8040, 9897, 11752?\n\"Answer: -t**2 + 1868*t - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(320) - 3*sqrt(320)*-2))\/(3*(-2*sqrt(90)*-4 + sqrt(90) - sqrt(90))).\nAnswer: 7*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74572*r - 7 + 74572*r + 5*r**2 + 7.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 + 5*p**3 + 78*p**3 - p**3)*(-5 + 0 - 1)*(-4 + 0 + 0)*(-4*p + 3 - 3).\nAnswer: -8352*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-20) + ((-2)\/1 - (-513)\/45). Solve -20 = 5*h - u*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-36)*((-494594)\/3350 + 148).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/14 - 1\/(-7)*-8. Does 49 divide 5\/(-20)*(-2)\/l*-562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 21*j - 1. Let o be b(3). Let v be (36 + -21)*11\/(-3). Let z = v + o. Solve -3*i - z = -2*w, -5*i = -2*i + 3*w - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5925 and -16\/12640395.\nAnswer: 63201975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmcmmmmmcccc. Give prob of picking 4 c.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 23*s + 2. Let l(r) = 23*r + 3. Let g(w) = 2*l(w) - 3*q(w). Let j(v) = 2*v. What is j(g(x))?\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4*147\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988432.\nAnswer: 2, 163, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from pupppppppppupppupup?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*j + 53*j**3 + 109*j**3 - 51*j**3 + 641*j - 1 - 1285*j.\nAnswer: 111*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l. Let t(b) = -4*b**2. Give t(z(u)).\nAnswer: -256*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85731266191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12200 + -320?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + 6*b + 5. Let z(l) = -6 - 5*l - 43*l**2 + 51*l**2 - 2*l. Calculate -7*d(x) - 6*z(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238294400 by -4.\nAnswer: -59573600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/((-21)\/153) + -4 is divided by 1\/(-4) + 49\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2\/5 + 2\/5*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 567740 and 1275.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185139 to the power of 1\/2, to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 5:32 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + t**2 - 1. Give r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1285 - 661. Suppose 2*w + 10*w = c. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90427849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*l - 413 = -0*v, -5*v + 2*l + 495 = 0. Let d = 174 - v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365001360*n + 29*n**3 + 2365001360*n.\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -762 - -745. Let h(m) = -6*m - 102. Determine h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + ((-2170944)\/(-320) - 2\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = -14. Suppose a + 3*h - y = 0, 0 = -2*a + h + 3*h - 8. Suppose -3*c + a*c = 4*u - 289, -147 = -2*u + c. What are the prime factors of u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*-2*50\/(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 13 - 3. Suppose d*u + 3 = -9, -4*u + 16 = n. Suppose -4*k = -588 + n. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5935506 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-3))\/(-8))\/((-5)\/4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.419 times -5?\nAnswer: -47.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -83. What is the smallest common multiple of z and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 6. Let t = j + 16. Let v = -7 - t. Solve -4*w - 15 = 5*u + v, 5*u + 3*w + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 1384\/7. Suppose 7*v + 22 = -69. Let x = v - -17. What is the second biggest value in -0.3, 3\/2, x, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*r = -8, -2*d + 0*d + 3*r = -8. Suppose -4*c = -7 - d. Suppose -2*a = c*a + 268000. Round a to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2465.6627 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(441) - (sqrt(19) + ((sqrt(114)\/sqrt(6))**2 + sqrt(19))*3))*6*3.\nAnswer: -1026 - 486*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/5 + 525*j**3 - 536301*j**2\/5 - 17233161*j\/5 + 34171368 = 0 for j.\nAnswer: -35, 8, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1 = p + 79, -2*f - 3*p - 45 = 0. Let s = f + 17. What is the lowest common multiple of s and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -92*d - 7. Let w(t) = t**2 + 21*t - 50. Let l be w(-23). List the prime factors of f(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 2*q**2 - 24*q + 50. Calculate w(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 496 - 140 = 0. Let n = b - 162. Sort 2, n, -4 in increasing order.\nAnswer: -4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2. Let o(v) = -v**2 - 9*v**2 + 4*v**2 + 7*v**2. Determine t(o(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-10))\/(((s**8\/s)\/s)\/s))**(7\/4) assuming s is positive.\nAnswer: s**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + t + 7, 29*b + 8 = 32*b - 2*t. Let i(s) be the second derivative of 9\/2*s**b + 0 + s - 13\/6*s**3. What is the derivative of i(k) wrt k?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from {n: 4, y: 2, e: 1, z: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 + 7*a**2 + 6*a + 5. Let w be k(-5). Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -170 + 169 - ((-2 - 0) + -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 0*s + s + 0*s - 4*s.\nAnswer: -3*s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1378 - 2*f**3 + 1378.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 2, r: 2, i: 2}. What is prob of sequence ri?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-210)\/63*((-116)\/10 + -1). Let x = 207\/5 - i. Which is smaller: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**5\/20 + c**3\/6 + 2*c**2 - 4. Let t(x) be the second derivative of u(x). Find the first derivative of t(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:35 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 + -2. Let n = 0.1 + 4.9. Let r = 19057\/2 + -9529. Which is the second smallest value? (a) r (b) 16 (c) n (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240016?\nAnswer: 2, 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/15 - 2056*g\/15 - 528392\/15 = 0.\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 13*x**4\/24 - 2*x**2 + 61*x. Let w(r) = 10*r. Determine v(w(o)).\nAnswer: 130*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 - -1.534?\nAnswer: 0.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*28\/29302*-23?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 6*w**2 - 5*w + 12. Let r be h(-7). Let o = 2 + r. Let b(m) = m**3 + 2*m**2 + 2*m + 1. Let z be b(-1). Solve -t + o*t = z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65\/3 - -22. Which is the nearest to -3? (a) -2\/7 (b) y (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-36)*8\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-12)*((-4)\/85)\/1.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 19*h**5\/12 + 77*h**4\/24 - 16*h**2. What is the second derivative of t(m) wrt m?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5491 and 2312.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 153, -37 in increasing order.\nAnswer: -37, -3, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 1945?\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/(o\/o**1))\/o)*o)\/o)**(-7)*o**(1\/8)*o**(2\/15)*((o*o**(3\/2))\/o*o*o**(2\/3))\/(o**(2\/9)*o\/o**(1\/5)) assuming o is positive.\nAnswer: o**(173\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 3*r - 425 = -617, -5*o - 181 = -3*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.17, -24, -20.2 in descending order.\nAnswer: 0.17, -5, -20.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 0.11. Suppose -10*c - 136 = -616. Suppose 0 = 6*y - c + 30. What is the closest to z in -2\/11, y, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-2))\/(-8))\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (20 + (-22 - -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (((sqrt(495) + sqrt(495)*3 + sqrt(495))\/sqrt(11))\/sqrt(9) - 2*(-1 + sqrt(245))))*-3)**2.\nAnswer: -324*sqrt(5) + 3681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123295702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 6*w - 5. Let i be q(4). Suppose 3*t + 14 = -2*g - i*g, 3*g = t. Let d(c) = c**3 - 2*c**2 + 2. Let z be d(2). Sort 4, g, z.\nAnswer: g, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 + 3394*f - 3394*f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*x - 12, 4*x - 13 + 1 = 4*o. Suppose -3*q - q + 36 = 4*j, 4*q - 24 = -2*j. Let y = j - 2. Solve o = -g - y + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 64*r + 343. Calculate l(-58).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*d = 16*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -44) + 1 + 0 + -3. Solve -5*t - k = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 279 - 400 - 518.\nAnswer: -r - 639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59967898993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 take away -338?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 58279.2588 minutes?\nAnswer: 5.7816725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 32 - 36 + 6 + 6*n**2. Let q(x) be the second derivative of -x**4\/6 + x. What is q(s(f))?\nAnswer: -200*f**4 - 80*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + 207\/(-46). Let s = 0.128 + -4.128. Put s, b, -12 in descending order.\nAnswer: s, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(45\/(-170)) - -2. Suppose 3*n - 8 = -4*x, 14 + 1 = 5*n + 5*x. What is the greatest common factor of p and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -3*o**2\/2 + 11*o + 91. Let m(v) = -3*v**2. Determine m(p(k)).\nAnswer: -27*k**2 + 198*k - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 36. Give o(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n + 13*n**2 + 2*n - 5*n + 11*n**3 wrt n.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00297468629 to 7 decimal places.\nAnswer: 0.0029747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 61335.3 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6982, -27954, -62942, -111952, -174990, -252062?\nAnswer: -343174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-384)\/(-3712))\/(2\/(8\/(-3))). Is -1 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203530320 divided by 10584?\nAnswer: 19230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(sqrt(228) + sqrt(228) + (sqrt(228) + sqrt(228) + sqrt(228)*2)*1 + (2*sqrt(228) - sqrt(228))*-3))\/(sqrt(192)*1*-5*-6).\nAnswer: 3*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5968, -6480, -6952, -7378, -7752, -8068, -8320, -8502?\n\"Answer: s**3 + 14*s**2 - 561*s - 5422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and 815.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 29*s**4\/3 - 107*s**3\/2 - 4*s**2 + 8. What is the first derivative of n(g) wrt g?\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 40*z**2 + 5*z + 5. Let j(o) = 23*o**2 + 3*o + 3. Let i(b) = -5*j(b) + 3*l(b). Let u(g) = 24*g + 3. Determine i(u(q)).\nAnswer: 2880*q**2 + 720*q + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0) + (-13)\/26. Which is bigger: -4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 381 - 381.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {w: 1, f: 2, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, m: 2, l: 1, q: 8, j: 2, o: 2}. What is prob of sequence jfm?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/15 + d**2 + 6*d. Let p(a) = 34*a**2. Give t(p(x)).\nAnswer: 4624*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -529 - -543. Solve -6 + c = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*m + 196 = 0, 3*m - 72 = -g - 0*g. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:28 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49772943?\nAnswer: 3, 11, 23, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 670998358 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 62.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - 8)\/(0 - -1). Suppose -y - b*v = -1003 + 324, 667 = y - v. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17570 and 1295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 485087 + -1165087. Round k to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245986279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3\/8 + 172625*z**2\/8 + 345253*z\/8 + 172627\/8 = 0.\nAnswer: -1, 172627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a, 5*o + 4*a = 2*o + 6. Let j(s) = -s - 1. Let x be j(-4). Suppose o*u - 15 = -x*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let l be o\/5 - 12\/(-30). Let -l*s + 2\/5 + 2\/5*s**2 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400*z**6 - 451*z**6 + 31*z**5 - 121*z**2 - 4939*z**2 wrt z.\nAnswer: -6120*z**3 + 1860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**8\/588 - 4*n**7\/735 + 2*n**5\/105 - n**4\/42 - 11*n**2\/2 - 5*n. Let a(s) be the first derivative of f(s). Solve a(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -808 and 10403507984.\nAnswer: 10403507176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + o - 2. Let l be k(-2). Which is the third smallest value? (a) l (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**7\/2520 - 2*h**5\/15 + h**3\/6 - 2*h**2 - 5*h. Let n(m) be the third derivative of l(m). Let f(u) = 25*u. Give f(n(z)).\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 35*m**2 - 172*m - 150. What is l(41)?\nAnswer: 2884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2764533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 161920623.6 rounded to the nearest 100000?\nAnswer: 161900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.5 and 133.2.\nAnswer: 4062.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/2)\/11*(-88)\/33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7168676 millennia in decades?\nAnswer: 71.68676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*i - 4*i + 3*i)*(-40 - 9*i + 40 - i**2).\nAnswer: 27*i**3 + 243*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*40.309\nAnswer: 40.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32851*j + 20008.\nAnswer: 32851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2576 is divided by (-2769)\/(-142) + 3\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57082 = -111*i + 12515. What is the greatest common factor of 792 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*a - 2*c, 5*a - c = -6*c + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/(12\/(-5266)). Let j = -642 + b. What is the common denominator of j and 6\/9 + 334\/(-96)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104.8 + -0.07\nAnswer: 104.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -3*w**5\/10 - w**3 + 20*w. Let b(s) = s**3 + s. Give 14*b(d) + 2*g(d).\nAnswer: 2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -5*z - 4*k, -2*z - 2*k + 3550 = 3568 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**3)**(-5))**(27\/2))**(1\/69) assuming b is positive.\nAnswer: b**(-90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 437 (b) -4\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 + 3*x + 2. Suppose 18 = -4*y + 42. Suppose 24 = 2*z - 5*k, 50 + y = 2*z + 3*k. Calculate the remainder when v(3) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -155, -216, -325, -518, -831, -1300?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*(p**(3\/8)\/p)\/p)))**7\/((p**(-9\/4)*p)\/(p**(-18)\/p)) assuming p is positive.\nAnswer: p**(-177\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, r: 5}. Give prob of sequence drdr.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 122494 times -34.9\nAnswer: -4275040.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**5\/60 - 11*r**4\/24 + 2*r**3\/3 + 3*r**2. Suppose 0 = 819*n - 822*n - 15. What is the units digit of p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 5:30 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/27)\/((-10)\/(-165)). Let j be -3 + (3\/12 - b\/(-4)). Solve 2*g + 5*d + j = -15, d = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 1 - 104*l + 2*l**3 + 10*l**4 + 102*l in the form o*l**3 + t*l**2 + u*l + r*l**4 + g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let u(w) = 7*w - 1. Let t(k) = -6*f(k) - u(k). Let j be t(3). Let d be (-2)\/(4 - (-4)\/j). Which is greater: -2\/9 or d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbt when three letters picked without replacement from bttbbbblbtt?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 394409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - 4*z**3 - 2*z**4 + (-4*z - 2*z**3 + 4*z)*(306*z - 454*z + 1216*z) to the form k*z + s*z**4 + m + h*z**2 + r*z**3 and give s.\nAnswer: -2138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 7*b + 510 = 0. Suppose -b - 126 = -3*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 6*d - 4. Let z be j(-5). Let t = 14 - z. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-64)*22\/(-17 - -6). Are -0.4 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1416 + 1425 - (-2 + (5 - (4 - 1)) - 13).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 3, -0.5313, -135, -2?\nAnswer: -0.5313","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - -0.17. Let j = z + 0.14956. What is j rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + h + 4, 2*h = 5*d - 5. Let c(y) = -9*y. Let z be c(-2). Suppose 0 = d*f - a + 10, 4*a - z = 4*f + 6. Which is bigger: 2\/7 or f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-64)\/(-280)*(-21)\/(168\/(-290))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 13*h - 46. Give x(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + h + 150. Let r be g(0). What is the greatest common factor of 60 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.2 - 5. Let b = 4.8 + d. Let h = -5.11 + b. What is h rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -70, -1, -4 in descending order.\nAnswer: 3, -1, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1.48, -2\/11, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 27 = -k, 7 = -4*k - q - 26. Let g(r) = 2*r**2 + 3*r + 10. Let z be g(k). Let i = 90 - z. Solve 4 = -i*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140.813869 - 147.81386906. Let w = -0.076 - -7.076. Let v = w + r. Round v to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-11)\/(-10))\/(4\/5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 256, 250, 234, 202, 148, 66?\n\"Answer: -m**3 + m**2 - 2*m + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-65)\/30)\/(132277\/(-14694) + 9)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2182 - 262 = -323*g + 3*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.3. Which is the closest to 0? (a) o (b) 1\/3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 37 = -10*o. Suppose -5*l + 75 = 4*n, 2*l = 3*n - o*l - 30. What is the remainder when 117 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 41*l + 144. What is f(42)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 214.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/210 + b**6\/40 + b**5\/60 - b**4\/8 - b**3\/3 - 99*b**2. Solve x(f) = 0 for f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((98\/245)\/((-14)\/(-5)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 64*h**3 + 4*h**2 - 5*h + 10. Let f be s(3). Suppose 5*b - f - 636 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2261114 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {x: 1, d: 2, b: 6, l: 2, g: 1, n: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 66 + 912 = 0. Let l(y) = -84*y + 8. Calculate the remainder when l(-1) is divided by r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6062 - 1b032?\nAnswer: -25094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27074479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 782598910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgavwwwvwabggvvgcwa. Give prob of picking 1 c and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i - 3*i + 3*i - i)*(2 - 3 - 1).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 281*m - 139*m = 144*m - 21, -10*r = -6*m + 68 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -d + 7, 0 = -0*m + 4*m - 4*d - 32. Let y = m + -2. Let a(c) = -4*c - 3 + y*c - 2. Give a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4024 - -1.4. Round m to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -79, -110, -143, -178?\n\"Answer: -w**2 - 28*w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.4. Let s = 21 - 11. Let v = s + -9. Which is the third smallest value? (a) v (b) 2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5\/2 - 1102*o**4 + 15299*o**3\/2 - 6501*o**2 - 34976*o + 34928 = 0 for o.\nAnswer: -2, 1, 4, 2183\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1040)\/65)\/(-2)*18\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6)*(-126)\/21. Solve 4*w = d*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 - (-1 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.7. Let w = -26 + 46. Let g be w\/(-64)*(-2)\/5. Put -1\/6, g, f in decreasing order.\nAnswer: g, f, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 + 0*m**2 + 3*m - 3*m**2)*(-2*m**2 - m**2 + 4*m**2) in the form n*m**3 + q*m**4 + r*m**2 + u*m + y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 (base 7) in base 3?\nAnswer: 222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -657 - -659. Suppose r - 14 = -r + 4*k, -w*r - 5*k = -23. Solve -22*c + r = -25*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4490 - -4493. Put 7, -37, n, 0 in descending order.\nAnswer: 7, n, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.639 - 11.71661. What is c rounded to 3 decimal places?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 + -26. Factor 160*u - 25 + 8 - 34*u**2 + 2*u**3 - a.\nAnswer: 2*(u - 8)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -45701 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 d when four letters picked without replacement from {x: 7, s: 5, z: 3, d: 4}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (470\/40 + -1 + 1)*4 is divided by (438\/24 - 6) + 12\/16 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 2*n - 2)*(2*n - 55 + 183 - 393).\nAnswer: 4*n**2 - 528*n - 265","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0132116603 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15880 by -3176.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1691*r + 12. Let j(m) = -5069*m - 33. Give 4*j(c) + 11*y(c).\nAnswer: -1675*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47525181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 26691377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/12 + 2\/3. Let u(q) = -2 + 2 - q**y. Let z(m) be the first derivative of -m**3\/3 + 2. Give u(z(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -5*a - g, 12*g - 12*g - g + 1282 = -107*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002303 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {j: 1, k: 2, l: 1, u: 1, q: 2, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -512, 3\/5, 0, -3\/4, -0.1.\nAnswer: -512, -3\/4, -0.1, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5882575 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + 4 + (6 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 10. Let m(f) = f**3 - 11*f**2 + 24*f - 9. Let y be m(8). What is p(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 123\/6 + 21\/14. Let x = 158 + -148. Suppose x = 4*y - i. Solve c = -c + y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*p + 1498 = 0, -x + 0*p = 2*p - 751. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 8*u - 5. Let d be a(-7). Let f be (d - 4)*-1 + -8. What are the prime factors of f\/(6\/(-8) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098957579 to five decimal places.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1055.09962534 + 1055.1. Round f to 6 decimal places.\nAnswer: 0.000375","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1493528 and 65\/56?\nAnswer: 10454696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 20*f**2 - 71*f - 9. Give x(2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5778602 rounded to 2 decimal places?\nAnswer: -3.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1\/26183?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -219*g + 814. Give f(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -12, 266, -4, -35 in ascending order.\nAnswer: -35, -13, -12, -4, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 13. Determine b(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 39, -2\/7, 2\/7771, -1\/4?\nAnswer: 2\/7771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -338.4?\nAnswer: 169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(70) + -1*sqrt(70)))\/(sqrt(30)\/(-1*sqrt(3))) - ((sqrt(1008) - (sqrt(1008) + -1))*-4*6)**2)*-5.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7664 divided by -5\nAnswer: -7664\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 2*s - 5. Determine x(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2026004\/6*(-51 - -54). Suppose -r = -2*y - i, -744977 + 4796978 = 4*r - y. Round r to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -627.\nAnswer: -4\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 10, y: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 101*r + 90. What is i(96)?\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38593 + 38219 = -22*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.213 + -21.313. What is the fifth smallest value in x, 0.32, 0.1, -0.2, -5?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 - 99a?\nAnswer: -961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/330 - t**4\/66 - t**3\/11 - 5*t**2\/2 + 2*t - 6. Let l(y) be the first derivative of b(y). Suppose l(i) = 0. What is i?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3369109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/117, 5.422, -2\/17 in descending order.\nAnswer: 5.422, -2\/117, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197992 is divided by 49473?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -489 + -72?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 802*a**2 + 25*a**2 + 33 in the form d + k*a**2 + j*a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (5 - (-27 + (-16 - -24))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211410 (base 7) to base 14.\nAnswer: 402b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-8 - (-4)\/2)*(-1240)\/(-279). Let j(u) be the second derivative of -3*u - 20\/3*u**4 - t*u**3 + 0*u**2 + 0 - 1\/4*u**5. Factor j(f).\nAnswer: -5*f*(f + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -3*f + 2*f, -3*x - 2 = -4*f. What is the first derivative of 3*q**2 + x + 0 - 13*q**2 + 2*q**2 wrt q?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let k(l) be the second derivative of -37*l**4\/6 - 5*l - 16. Determine k(m(n)).\nAnswer: -74*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7 + 7 - 4 + 3*g. Let n(i) = 2*i**2 + 31*i - 22. Let q be n(-16). Let c be ((-2)\/(-3))\/((-1)\/q). Calculate t(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, x: 5, m: 2, n: 2}. What is prob of picking 3 x?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1941882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/38 + 104*c**3\/57 + 493*c**2\/19 - 10092*c\/19 + 1907. Suppose a(s) = 0. What is s?\nAnswer: -29, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) -0.3 (c) -6\/7 (d) 10\/433\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*x**2 + 91*x**2 - 164*x**2.\nAnswer: -311*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12)*6)\/(18\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 1, x: 4}. Give prob of sequence xh.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9358 + -74?\nAnswer: 9284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4171 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 50*b - 77. Let v be z(6). Suppose 0 = 2*d + 2*x - 342, 3*d - x - 294 - v = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 10:48 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 701 - 698. Let n = 247\/1540 + 3\/140. Let y = 0.219 - 0.619. Put n, t, y, -0.3 in descending order.\nAnswer: t, n, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1475 - -1476. Which is bigger: -4\/293 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -6443 - 2461. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*a + 19 = 3*b + 5*a, 5*b - 3*a + 7 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 17*g - 30. Let b be c(10). What is the highest common factor of b and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 209274?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(70)*1)\/(5*1*sqrt(40)\/sqrt(4))*-4.\nAnswer: -24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.1 - -79.9. Let a = -354140.0205 - -354044. Let u = a + q. Round u to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-141)\/27 - (-6)\/27). Suppose -4*g - i*z + 1252 = 0, -2*g - 2*z = -0*z - 628. Let a = -202 + g. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1624771 - 33?\nAnswer: -1625024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 7. Let p be n(-8). Let k = -9892\/345 + 434\/15. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 20, 4*a + 18 = 4*n + 2. Let g(b) = -8 - 11 - 43*b + a. What are the prime factors of g(-5)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*f - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128382*h*v**3 - h*v**2 + 2*v**4 + 76*v**2 - 13 wrt v?\nAnswer: -770292*h + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 62818*-1\nAnswer: -62818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(80) - (-6*sqrt(20)\/sqrt(4))**2).\nAnswer: -175 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0701944 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 22*v - 54*v - 6*v + 101*v - 6*v - 10*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*s - 785*s = 0, 0*f - 5*f - 5*s = -10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 472 and 45823943.\nAnswer: 366591544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**6\/6 - j**5\/5 + 15. Factor c(y).\nAnswer: y**4*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 726 + -2937\/4. What is the common denominator of -51\/7 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 16*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 2 - 2)*(-12 - 13 - 3)*(-245 - 10*r + 245) to u + q*r**2 + k*r and give q.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*h + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.049, -4, -2, 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -44.7. Let i = -4.7 - o. Which is the biggest value? (a) -4 (b) 2\/13 (c) i (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7699 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 62. Suppose 3*u - z = -u + 343, 0 = 4*z - m. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179273 + 179369.961. Let x = n + -97. Let k = x + 0.03879. Round k to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 16*u**2 + 26*u - 182. Determine r(-12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108401603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 5*i**2 + i - 3. Let q be p(5). Suppose u + 13 = 2*z, z + 3 = q*z + 3*u. Calculate the least common multiple of 14 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 257.8396 minutes?\nAnswer: 15470376000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:30 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586743590 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 6 (c) -4\/5 (d) -392\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*i - 0*t + 6, 18 = 3*i - 3*t. Which is the nearest to 1? (a) i (b) 0.1 (c) 1\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 4:01 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 123, 6, 10, 1, -2.\nAnswer: -2, -1, 1, 6, 10, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 + 194. Which is smaller: -77 or h?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 6*c + 478. Suppose 0 = -2*y + 4*u - 126, y - 5*u - 285 = 6*y. Is y at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*g + 148*g + 29*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0e (base 16) to base 10.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 24520.\nAnswer: 49040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = 5. Let y(f) = f**3 + 6*f**2 + 11. Let n be y(-6). Solve 18 = -2*t + 5*o, 3*o = -2*t + a + n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5826070?\nAnswer: 2, 5, 17, 43, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elleeeeeeeleleeleeee. What is prob of picking 2 e?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 88. Let z(k) = 2*k + 6. What is z(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or -180?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 6.3, 9, -2 in ascending order.\nAnswer: -2, 0.4, 6.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1 - 1 + s - 2. Let w(j) = -5*j + 9. Let l(g) = -4*g - 2. Let x be l(4). Calculate x*k(q) - 4*w(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 12. Suppose 2*r - 12 = 4*n - 6*n, -5*r = 3*n - 20. Is r\/(244\/80 - w) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/2 - 24*d**4 + 255*d**3\/2 - 279*d**2 + 216*d = 0. Calculate d.\nAnswer: 0, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -11 - (8 + -2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b367 (base 12) to base 10\nAnswer: 19519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 2*l - 129 = l, m + 4*l + 29 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 - t**5\/12 - t**4\/3 + 7*t**3\/3 - 11*t**2. Calculate the remainder when n(6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + 4028\/(-53) - (-43)\/11.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3058 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78360411\/5727326 - 20724\/1363. Let p = 8504\/9 - 1624381\/1719. Let j = v + p. Calculate the common denominator of 19\/8 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11023200 (base 4) to base 8\nAnswer: 51340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o + 4. Let x(m) = 129*m - 63. Determine 33*l(y) + 2*x(y).\nAnswer: -6*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52095553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.251754ml to litres.\nAnswer: 0.007251754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*k**2 - 52*k**2 - 7*k + k - 7*k as m*k + g + q*k**2 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184639, -184649, -184655, -184657?\nAnswer: -184655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403260*t + 502893 - 1676*t**2 + 5*t**3 - 373063 + 688130 - 1174*t**2 = 0. What is t?\nAnswer: -2, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**12*q\/(q\/((q*q**(-6))\/q*q)))\/(q\/(q**(-3\/11)\/q)*(q*q\/q**(-2\/9))\/q))**(-6\/5) assuming q is positive.\nAnswer: q**(-694\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126631 (base 13) to base 12.\nAnswer: -1941b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuxxxdxxu. Give prob of sequence du.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 106 + 199 = 107 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 5*f - 2*f**2)*(1 - 3 + 3) - 2*f + 4*f**2 + 2*f - f**2 + f**2 + f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4446 and 61997?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 5*z**2 - 3*z - 8. What is f(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50122580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:52 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*g + 5*h - 4, 0 = 5*g - 3*h + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 361704497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*o - i, -22 = 4*i - 6. Let j(g) = 5*g - 2. Let x be j(2). Suppose -o = -2*u - x. Solve -2*l + l + 11 = 3*r, 0 = -l + r - u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1181064, 2361841, 3542616, 4723389, 5904160, 7084929?\n\"Answer: -l**2 + 1180780*l + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**8\/1344 + r**7\/120 + 17*r**6\/480 + 17*r**5\/240 + r**4\/16 + 38*r**2. Solve o(x) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/7860 and 23\/22.\nAnswer: 86460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 121\/3, 8 in descending order.\nAnswer: 121\/3, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -117, -174, -229, -282?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.76 and -1.6.\nAnswer: 7.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4424\/3 + -1474. Let w = -9 - -4. Let i = 4 - 3. Which is the closest to j? (a) i (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 245\/(-30)*48\/(-84).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 1085706*m**2 + 10857135*m - 27142900.\nAnswer: -(m - 5)**2*(m + 1085716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.68 and -9691873.686.\nAnswer: -9691874.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781198.\nAnswer: 2, 31, 28729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71357 + 3357. What is u rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/18 and -37\/210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 11) to base 4.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(143)*-2)\/(sqrt(396) + (sqrt(396) - -1*sqrt(396))).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 168 = -i. Let v be i*((-5)\/(-10))\/1. Calculate the remainder when (-10)\/(-15)*v - 3 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 9*j**2 + 84*j - 48. Let g be p(15). Which is the second biggest value? (a) g (b) -1 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (4 - 6)) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 - 6576*r - 2702736 = 0. What is r?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 829*f*i**3*u**3 + 2*f*i**3*u**2 + i**3*u**3 - 13998*i**3*u wrt f.\nAnswer: 829*i**3*u**3 + 2*i**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * 6.7\nAnswer: 11.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54151 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 22750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 3*i**5\/20 + i**4\/12 - 4*i**3\/3 + 2*i**2 + 123*i + 18. Let s(t) be the first derivative of m(t). What is w in s(w) = 0?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*x**3 - 3)*(4 - 1 - 4) + 1 + 2*x**3 - 1 + 0*x**3 + 4*x**3 - 2*x**3 + (4*x - 3*x - 2*x)*(-3 + 3 - 2*x**2) + 2 + 2*x**3 - 2 - 2*x + x**3 + 2*x.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -323077 (base 8) to base 9\nAnswer: -174245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -16, -16, -4, 26?\n\"Answer: f**3 - 3*f**2 - 4*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 32, 70, 112, 152, 184?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3027732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*x**3 + 511*x**3 + 1 + 6.\nAnswer: 46*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -258 + -108?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiiiiiiiiiiini.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5208681486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -71. Let r = d + 49.9999967. Round r to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53481 to the nearest one hundred.\nAnswer: -53500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 22143?\nAnswer: -22140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqv when three letters picked without replacement from qofzvzv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 7*m**2 - 6*m + 3. Let q be h(6). Let w = -3 - -7. Suppose -9 = -3*b - o, -6*o + o + 11 = -2*b. Put b, w, q in decreasing order.\nAnswer: w, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22308.827 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j = 7*j + 714. Let b(x) = 6*x - 1. What is b(j)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/5)*a*a)\/a*a*a\/((a*a**(11\/4)*a)\/a*a))**(-7) assuming a is positive.\nAnswer: a**(133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tte when three letters picked without replacement from {r: 4, u: 2, o: 3, t: 1, e: 4, m: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5 - 2\/3*w**2 + 1\/6*w**3 - 11\/6*w = 0.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*j**3 + 6*a*j**2*o - 12*a*j**2 - 7*j**3*o + 20*j**3 + j*o + o wrt j?\nAnswer: -6*a - 42*o + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16368886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/2 + 543*y**3\/2 - 3614*y**2 = 0 for y.\nAnswer: -556, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/2 - 261*s**3 + 792*s**2 + 2114112*s + 91998720.\nAnswer: -3*(s - 90)*(s + 88)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/((q\/(q*q\/(((q\/q**(-6))\/q)\/q)))\/q))\/(q**10*q*q*q**9*q) assuming q is positive.\nAnswer: q**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 4, 10.57, -3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/8*-3*16. Let v = 171 + i. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-1 - 5*v + 1) + 5*v + v - 4*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 23*g**3 - 46*g**3 + 3)*(g - g - 3*g**2).\nAnswer: 69*g**5 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/6937 - -12176\/2973. Let c = -329011\/30 + 10973. Calculate the common denominator of p and c.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 31 = 6*d - 7*d, -d - 7 = -j. Solve -j*v - 60 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -3686436?\nAnswer: 3686442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8826?\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 865472.3 micrometers?\nAnswer: 0.8654723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*y = -413*y + 19824 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 554*y - 189*y + 902*y + 744*y - 37*y to v + r*y and give r.\nAnswer: 1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225 - 259. Let o = w - -38. Solve 0 = 2*f + 4*z - 2*z - 2, 14 = -f + o*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/28304 and 67\/20?\nAnswer: 141520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5625091549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -90, -5.\nAnswer: -90, -10, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -228, -943, -2048, -3483, -5188, -7103, -9168, -11323?\n\"Answer: 10*m**3 - 255*m**2 - 20*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*x + 19*x - 17*x to the form n*x + d and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 17*r = -20. Solve 4*z = -r - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -386 - -1346. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814018 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362358233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + -84. Let i = j + 360. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1102 + 4584?\nAnswer: 5686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1945 + -1746. Which is the second smallest value? (a) -5 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + g**3)*(2932 - 522 - 209 + 558 + 2052) to v*g**2 + d*g + f*g**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1219, 1220, 1221?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 + 205 - (99 - -79).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5 - 42*r**4 + 155*r**3 - 110*r**2 - 156*r + 152 = 0. Calculate r.\nAnswer: -1, 1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 609712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4572077, -4572079, -4572081, -4572083, -4572085, -4572087?\nAnswer: -4572089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6 = 4*r, 4*r = 5*n + 3*r - 14. Let o(v) = v**2 + 3. Let q be o(0). Solve n*i + 1 = -q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 1183606*q\/3 + 350230790809\/3.\nAnswer: (q + 591803)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-10 - (1 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0908 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -a25da (base 16) in base 4?\nAnswer: -2202113122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55006 and 2.\nAnswer: 55008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*v**3 + 20*v**2 - 3.\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:31 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*x + 37 = -4*q + 387*x, -2*x - 6 = -4*x for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 23*f**2 - 20*f + 503. What is u(23)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 35. Let h be z(-15). Suppose -5*v - h = -15. Suppose 4*w + v*o = 72, 4*w + o = -2*o + 70. Is w greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 162\/75347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3097737825?\nAnswer: 3, 5, 7, 13, 137, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 0.05 (c) 3853 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 592 and 6017976.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 17. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618363653.\nAnswer: 3, 539454551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 14*f + 21*f + 7*f.\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6906 and 47191.\nAnswer: 283146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 118\/249 (c) 0 (d) -0.01 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*f + 10, 5*n + 3*f = 110. Suppose n = 2*c - 27. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 + 19 = 0. Suppose 3*x - 2*x - 89 = 2*h, 4*x = -u*h + 369. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3929 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 10*x - 23635. Let y = -3339122 + 30094570\/9. Let s = y - x. Calculate the common denominator of 143\/6 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 12*v - 6 = 2*h, 3*v + 0*v + 0*v = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -27.01. Let u = b - -25. What is the closest to -0.1 in u, -3\/8, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.032 - -26.032. Let g = k + -26. What is the closest to g in -2\/21, -0.1, -0.5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**5\/42 - 29*x**4\/84 + 26*x**3\/7 - 1207*x**2. Find n such that a(n) = 0.\nAnswer: -39\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-294)\/70 - -11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7111230 by -3555615.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3052 is divided by 762.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 7*n**4\/4 - 2*n**3 + n**2\/2 - 6*n - 3. Let p = -4 - 9. Let l(m) = -15*m**3 + 13*m**2 - 2*m + 13. Calculate p*q(o) - 6*l(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652 + 560 = -4*r + 12*c, 0 = -2*r + 51*c - 47*c + 38 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - x = 0, 93*f + x = 92*f - 2*x - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -686 + 688. Which is the fourth biggest value? (a) n (b) 0 (c) -0.3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-117 + 3 + 29)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18637, 20072, 21507, 22942, 24377?\nAnswer: 25812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5 - 8*v**4 + 8*v**3 + 16*v**2 - 4*v - 8 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(18) + -2)**2*-4 - (2 + (sqrt(108)*-1 - (sqrt(300) - sqrt(300)*-1))**2))*2.\nAnswer: -12284\/3 + 32*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*(-295)\/118?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - sqrt(225)*-2*2)\/sqrt(9))\/(sqrt(720) + -2*sqrt(720) - -1*sqrt(5)*1) + 4.\nAnswer: -5*sqrt(5)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18 - (-272)\/10)\/(4\/10). Which is the nearest to g? (a) 1 (b) -2\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13513 + -6135. Suppose -14*a + p = 17*a. Does 34 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3497529877.\nAnswer: 3497529877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*v - 12, 11*u - 6*u + 4*v + 5 = 0. Suppose 0 = 2*k + 5*r - 10, -u*r + 48 = 4*k - 0*r. What is the least common multiple of 3 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47678 - 47678.024793. Round y to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*x**4*z**2 - 5*x**3*z**2 + x**3 - 3*x**2*z + 5*x - 3*z**2 wrt x?\nAnswer: -672*x*z**2 - 30*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 790 and 7658734?\nAnswer: 38293670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*w + 20 = 0, w + 6 = 4*x + 19. What is the remainder when 58 is divided by (-75)\/(-20)*(-12)\/x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 37999*b + 5. Suppose -5*u - 35 = -0*u. Let q = u + 12. Let v be c(q). Round v to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:32 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2377169*u**6 - 7681*u**2 - u + 13.\nAnswer: -285260280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-158)\/(-20) - 3*6\/(-180). Suppose -163*y**2 + 6*y**3 - g*y + 185*y**2 - 4*y**3 - 88 = 0. Calculate y.\nAnswer: -11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**26\/t)*(t*t**(5\/3))\/t assuming t is positive.\nAnswer: t**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3037\/912 + -1\/304. Let l = 4.4 - 5. Let s = l - -0.3. What is the third smallest value in c, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 6*l + 4 = 0. Sort -2, l, 3, 5 in increasing order.\nAnswer: -2, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -605, 6, -2.\nAnswer: -605, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46247 + -230009\/5. Let c = i + -245. Factor 2\/5 - 3\/5*x**2 + 1\/5*x**4 - c*x**3 + 1\/5*x.\nAnswer: (x - 2)*(x - 1)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, n: 2}. Give prob of sequence jj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t. Let g(d) = -4*d. Let b(p) = p**3 + 7*p**2 + 9*p + 3. Let r be b(-6). Let x = 10 + r. Let n(i) = x*g(i) - 2*q(i). Let l(k) = -3*k. Give n(l(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 441824475 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2326)\/(-1)*2\/(-4). Let n = 1759 + o. Suppose 3*c - n - 2857 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2. Suppose -6 = h - 4. Let i be w(h). Let d(l) be the third derivative of l**4\/8 + 16*l**2 - 4. Calculate d(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*-3*(-12)\/(-45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from tvvvmvqtmtwqqwmt.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122565.\nAnswer: 3, 5, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(6\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -370, -8, 4, -5 in ascending order.\nAnswer: -370, -15, -8, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42626 - 20346 = 1842*q + 30970 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0)*(-9*g + 6*g + 0*g) - 36*g + 34*g - 20*g - 4*g**2.\nAnswer: 2*g**2 - 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0194792 microseconds?\nAnswer: 0.0000194792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184368 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/16 - 510399998*(-2)\/(-16). What is n rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385537361?\nAnswer: 11, 35048851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(847) + sqrt(847)*1) + sqrt(847) + -2.\nAnswer: -2 + 143*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + c - 50 = 0, 3*c + 0 = 2*y - 26. Suppose y = -j - 23. Let i = j - -64. Calculate the remainder when i is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -287*a**3\/6 - 94279*a**2\/6 + 15789*a\/2 - 987\/2 = 0.\nAnswer: -329, 3\/41, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-5) - (-291 + 317)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-5)\/((-60)\/16)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 0*m)*(1 + 3 - 3).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139666928 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53631 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/102 and 68\/141?\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -4444?\nAnswer: 4448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4 + 682\/170). Let a = z + 147. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/726 and 51\/3014768.\nAnswer: 1094360784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = 15. Suppose -3*n - 5*p - 10 = -22, 0 = -2*n + 3*p + o. Suppose 0 = n*u - 45 - 19. Is 16 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*m - 185 + 187 - 31*m + 57*m.\nAnswer: 149*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433530 is divided by 184.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 greater than or equal to 884\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/((-2)\/(-4)). Solve -f + 4*i = -24, -k*i + 4 - 7 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = -2*u. Let b be (-68)\/u*-2*1. Let y = b - -19. Is -5 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1723 - 71.1856\nAnswer: 1651.8144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 1:19 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 2669988?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1976\/(-14))\/(-4) - 6\/21. Let t = k + 60. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 146017*z + 37. Let i(o) = 1. Let s(u) = 3*i(u) - l(u). Let b be s(-2). What is b rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:29 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 0, -4*d - 2*x + 60 = -0*d. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 18*m**2 - 46*m - 7. Let i be x(3). Solve -3*v - i = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*a + 2*b - 576, 3*b = 0. Let c(z) = z**2 + 41*z + 11. Let n be c(-4). Let v = n + a. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1487320 + 5*c**3 - 745468 - 741852.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327996.18 minus -8212?\nAnswer: -1319784.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 36. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201128?\nAnswer: 2, 31, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0703383905966+-1\nAnswer: -1.0703383905966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 50*w**2 - 1070*w + 6. Let n(o) = -97*o**2 + 2131*o - 11. Let q(r) = 6*n(r) + 11*t(r). What is the second derivative of q(s) wrt s?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:47 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r + 1217066. Let b(h) = -h. Calculate b(t(y)).\nAnswer: -9*y - 1217066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.4462 and -7494.\nAnswer: -25825.8228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 4*d**4 + d**2 + (28*d - 10*d + 15*d)*(7*d**3 - 13*d**3 - 10*d**3) as x*d**2 + a*d**3 + h + r*d + m*d**4 and give m.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w - 27 = -2*k, -5*k = -3*w - 39. Suppose -6*f + 4*f + k = 0. Suppose 0 = -f*p + 6*p. Solve -4*s - 4 = -p*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h + 30 = 0. Let w = h - 10. Let q = w - -1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**2 - 52*d - 68*d + 120*d.\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 192789840 rounded to the nearest 1000000?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 - 543 = 46*o + 39 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3786 at least 3786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23004722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a day in hours?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + (-1 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 2. Let g be l(-5). Let k be (0 + g\/2)\/1. Let b = k - -16. Calculate the remainder when 19 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l = -36. Let a be 3\/1*(8 - l). Let o be (-6)\/(-9) + a\/(-9). Which is bigger: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 + 75*i + 358*i + 90 + 168*i to the form c*i + h and give c.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a (base 15) to base 4.\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*t**4 + 975*t**5 + 740*t - 135*t - 22*t**4 - 5*t**4 wrt t.\nAnswer: 19500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 247260690*m + 247260695.\nAnswer: -5*(m - 49452139)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 12) to base 7\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 50, 102, 184, 302?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -75. Let i(s) = -s**3 + 11*s**2 - 9*s - 3. What is the units digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - q = -6, -76*h + 0*q + 4*q = -79*h + 57 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 - 310*g + 55?\nAnswer: -3*g**2 - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-197776592)\/(-80) + (-8)\/70 + (-74)\/259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 40*m**4 - 16*m**3\/3 - 16*m - 2067. Let l(j) = 32*j**3 - 3*j**2 - 3. Determine -16*l(y) + 3*r(y).\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 952 - 2722 + 98 = -265*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368*u - 208 = 1365*u + 2*w, -w = u - 66. Solve 16*a + 116 - u = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*(8\/(-4) + 14). What is the remainder when 30 is divided by 10\/(-4)*f\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17.7 and -2505505162.\nAnswer: -2505505179.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2767615?\nAnswer: 5, 29, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*r - 472 + 404 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -928751*c**3 + 6491002*c + 1.\nAnswer: -5572506*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y - 0. Suppose -3*w + 24 = 3*k, -y*k = -4*k + 3. What is the lowest common multiple of (-3 + 5)*(-9)\/(-2) and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-7)*u*u**(9\/7)*u*u\/(u*u**(-2\/7))*u**6\/u assuming u is positive.\nAnswer: u**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 116846010 to the power of 1\/2, to the nearest integer?\nAnswer: 10810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 w when four letters picked without replacement from mvwvhwmwwvkhvv.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 16*w**2 + 1450*w\/7 + 3364\/7.\nAnswer: 2*(w - 29)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q + 31. Calculate h(5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3130178, -3130182, -3130186, -3130190?\n\"Answer: -4*p - 3130174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:13 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 75. What is the second smallest value in w, -2\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 4)*(0 + 6 - 4)*(87 - 87 - 5*c**2).\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12467 + -12464. Factor 0 - 5\/7*n**g + 2\/7*n**4 + 1\/7*n**2 + 2\/7*n.\nAnswer: n*(n - 2)*(n - 1)*(2*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -1\/30*s**6 - 3*s + 0 + 3\/2*s**2 + 2\/3*s**3 - 1\/6*s**4 - 1\/5*s**5. Factor f(u).\nAnswer: -(u - 1)*(u + 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (6*(sqrt(112) + 3*sqrt(112)) - (-1*sqrt(112) + -5)))**2*5.\nAnswer: 36000*sqrt(7) + 2101080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose 3*k + 0*i - 3*i = p, 0 = 5*i - 15. Factor -4*h**3 - 3 + 2 + 4*h - 1 + 2*h**k.\nAnswer: 2*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6055494, -12110992, -18166490, -24221988, -30277486, -36332984?\n\"Answer: -6055498*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 38 = 4*a - 6, 2 = 3*a + 4*g. Suppose 0*w - 18 = 3*w. Let j be (-40)\/a*9\/w. What is the greatest common divisor of j and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 64 + 41. Let h = j - -98. Suppose -19 + h = 2*b. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*v + 1383 - 422 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2.7, 0.4669, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293*p**3 + p**4 + 7935 - 7935 - 1688*p**2 wrt p.\nAnswer: 24*p + 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 5. Let q be 154\/165 + 4\/(-3). What is the closest to 0 in -4, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -833\/1144 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let d be q(2). Suppose 0 = 6*p - d*p - 20. Find the second derivative of v - 6*v + 2*v**p + 6*v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(15\/2)\/x)\/x)\/x**(23\/3))\/(x**4*x*x**(-2\/43)) assuming x is positive.\nAnswer: x**(-1837\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*h**2 + h**2 + 4*h**2 + 7*h**2 as w*h + g + y*h**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-7 - (15 - (-4 + 15))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*3\/((-48)\/8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.2? (a) -2 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3150237 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 4*t**3\/3 + 3*t**2 + 7*t + 1. Let a be k(13). Let v = -5300\/7 + a. Find the common denominator of 61\/3 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in -0.1, -12, -3.45386?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/22 and 91\/74?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-12 - (-6 - 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 2\/7329, -1072\/9, 0.3 in descending order.\nAnswer: 3\/2, 0.3, 2\/7329, -1072\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/53533 or 0?\nAnswer: -2\/53533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 305073*x**2 - 7755642072*x + 7755947148 = 0.\nAnswer: -50846, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m**4 - 1530711*m**3*y + 1811492*y - 1 wrt m.\nAnswer: -16*m**3 - 4592133*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134416056295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*h = 30, 2*d + h = -0*d + 39. Differentiate 21 + d - 12 + 23*q**3 - 7*q**3 with respect to q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 35 = b + 33, -5*b + 50 = -5*p. Determine s so that 0*s - 2\/3 + 2\/3*s**p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -392180108*n - 479632728 wrt n.\nAnswer: -392180108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.76000545 + -32.76. Round g to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3\/4)*b)\/(b*b*b*b**(1\/6)\/b*b*b*b))\/(b\/(((b\/(b**(-2\/5)*b))\/b)\/b))**(9\/2))**(-23) assuming b is positive.\nAnswer: b**(22931\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from kbsbbspskwk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaarlaaccarcacllca. What is prob of sequence lcr?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:38 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5081 divided by 3\nAnswer: -5081\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -68 (b) 3\/10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + sqrt(112)*-1)*-1 - -3*(sqrt(112) + -1) - (0 + -6*sqrt(112)*5))**2 + 3.\nAnswer: -792*sqrt(7) + 121980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7734572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkktkzkzkznkkkvkzkk. What is prob of picking 1 v and 3 k?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 9*j**2 + 11*j - 5. Let a be r(10). Suppose -2*q + a*q - 462 = 0. What is the highest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1804*o**3 - 4*o**2 + o - 4. Let w(t) = 7213*t**3 + 18*t**2 - 5*t + 18. Determine -9*l(r) - 2*w(r).\nAnswer: 1810*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2 + 387*x - 786 = 0.\nAnswer: -131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1624187\/168 - 216620\/21. Suppose 89*w - 299*w + 136080 = 0. Let o = h + w. Find the common denominator of o and 77\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 1, m: 2, n: 2, f: 1}. What is prob of sequence uuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 49*o**2 - 181*o + 54. What is the remainder when 246\/4 + 2\/4 is divided by u(45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*(168 + 80))\/2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61211\/7 in 7\/4, 0.3, 5, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -318125 to the nearest 1000.\nAnswer: -318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 25*j - 40 = 24*j, -9*j = -351 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.09870808 to one decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*s**4*y**3 + 180*s**4*y**2 + s**3*y - 2*s**2 - 257*s*y**3 wrt s.\nAnswer: 144*s*y**3 + 4320*s*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 67. Let b(h) = -h**3 - 7*h**2 - 5*h - 1. Calculate the remainder when b(-7) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f + 4. Let d(s) = 16*s - 4. Give -6*d(b) - 7*w(b).\nAnswer: 23*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 29577*m**2 - 70*m + 135. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - b - 277868, 0 = 5*m + 5*b - 463080. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 28*x + 0 - 4*x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 12. Suppose -4*s - i = -2*i + 4, 4*s + i + 12 = 0. Put -5, s, u in ascending order.\nAnswer: -5, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/5)\/(6\/20). Suppose -4*h + 2*t + 9 = 1, -w*h - 4*t = -20. Suppose -f - 182 = -h*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4\/4 - 62711*l**3\/2 + 28038633*l**2\/4 - 393047892*l + 258925815 = 0.\nAnswer: -42030, 2\/3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*g + 4. What is the common denominator of 16\/(-4) + 107\/10 and (-7)\/(-56)*(-38)\/g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12496 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 - u**3 + 3*u**3 + (u + u - u)*(-2*u**2 - u + u) + 4*u**3 + 0*u**3 - 2*u**3 + (-2*u - u + u)*(0*u**2 + 3*u**2 - 5*u**2) + u**3 + u**3 - u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7106*l**2 - 40*l + 233. Is y(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037213301 rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 2\/5, 2\/7, 1.\nAnswer: -1\/9, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4091 rounded to 2 dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2.95, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2160.848706 and 2.239?\nAnswer: 2163.087706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1125 - -111?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:20 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -359*l**7\/14 + 23*l**4\/6 + 5*l**2 - 107*l + 7. What is the third derivative of s(a) wrt a?\nAnswer: -64620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155509501 divided by -1\nAnswer: 155509501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -35. Let x(j) = 4 - 8 + 0 + b*j. Let y be x(2). Calculate the greatest common divisor of y and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -7\/8, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - 0.09. Let n = y - -0.04. Let s = -0.028 - n. Round s to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774719?\nAnswer: 11, 70429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 72 = 4*n. Solve -n = -7*h + 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -189, 314\/9, 3, -1 in increasing order.\nAnswer: -189, -1, 2, 3, 314\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 2278 + 1552 = 0. What is the remainder when l is divided by 342?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 k when four letters picked without replacement from rrqaqthkakaaqkqqkaar.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1463 or -2024?\nAnswer: -1463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12961712 and 47392?\nAnswer: 25923424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3868 = 132. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185290 and 574?\nAnswer: 7596890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 - x - 3. Let k(d) = 2*d**2 + 7*d - 22. Let t be k(-5). Let w be l(t). Calculate the highest common factor of 76 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) - (-440)\/77. Solve 5*w + 22 = -2*i, 0 = -2*i - 5*w + 4*w - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8299.943 - -8300. What is z rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 518.4 + -518.0281. Round k to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584757?\nAnswer: 3, 43, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t - z + 5068, t - 1028 = -5*z. Suppose 0 = -3*n + 1417 + t. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let q be a\/(-15) - (-48)\/10. Suppose -o = 3*s - 134, -q*s - 5*o + 62 = -178. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 64.\nAnswer: 15\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 14*j = -5*d - 38218, j - 4*d - 19109 = 0. Let g(r) = -j*r + 7*r**2 + 19109*r. Let y(a) = -8*a**2. Give y(g(h)).\nAnswer: -392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 79.29351 micrograms?\nAnswer: 0.00000000007929351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-2 + 407*u - 429*u + 0)*(4 - 5 - 1).\nAnswer: 44*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 8, 2*q = 2*b - 788. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.9916 + 40. Round v to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2727447.\nAnswer: -4\/2727447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847752923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 60?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -19, 0.05, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:23 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*(h\/h**18)\/h*h)*h**(-5)\/h assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.4 (c) -0.22 (d) -11331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465311134?\nAnswer: 2, 97, 769, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + -4 + (-3 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m - 41*m + 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 667523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 29. Let q(y) = -y**2 + 7*y - 7. Let g be q(5). Let j be (((-3)\/(-2))\/1)\/(-3). What is the third biggest value in j, g, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncznnbzmwnzmnmnznbm. What is prob of sequence wcb?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 1 - 11 + 8*i - 2*i to r + y*i and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 - j - 6. Let u be t(-7). Let b be (0 - -4) + (-12)\/u. Let x = -4 - b. Solve 4 = -4*n + f, 2*n = -3*n - x*f - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5213 = 4*m - 10263, -3866 = -m + 2*p. Let c = m + 6795. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 7\/46, -1, -14\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 6. Let p be y(4). Solve 0 = -p*k - 4 - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 6. Let u be f(0). Sort u, 5, 4.\nAnswer: 4, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2308984 and 11544920?\nAnswer: 11544920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 39*b**2 - 41*b - 39. What is y(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -29, -46, -63, -80?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.3, 0.01691, 2\/9 in descending order.\nAnswer: 2\/9, 0.01691, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/q**(3\/17)*q**(-2\/13)\/(q**(4\/13)\/q) assuming q is positive.\nAnswer: q**(-2130\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102, -133, -160, -183?\n\"Answer: 2*g**2 - 37*g - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 15. Let a = 67 + -46. Let r be n(a). Does 35 divide 226 - 1\/((-12)\/(-8))*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3)*m)\/m**35)\/(m\/m**(-18\/11)*m**(-32)*m) assuming m is positive.\nAnswer: m**(-18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -99456?\nAnswer: -99456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 54. Calculate y(13).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 25685?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 513, -14, 3, -8, 1, -3 in decreasing order.\nAnswer: 513, 3, 1, -3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1045\/21 + 8821\/21. Let h = n + -370. Solve -3\/7*s**3 + 0 + 0*s + h*s**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - (4 - 5)) + 7376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {l: 4, g: 3, w: 5, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 15, -2\/9, -0.05, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20902015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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 l(a) = -8*a**2 + 35*a + 296. What is l(-9)?\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 9*b**2 + 17. Give z(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*a - 21*a - 5300. What is the remainder when a is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 13*i - 97, 124*i - 128*i - 8 = -5*p - 51 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.2 - -7.2. Let v = -48 - l. Let j = 50 + -54. Sort v, 9, j in descending order.\nAnswer: 9, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(88)\/(sqrt(8) + (sqrt(128)*1 - sqrt(8))))**2.\nAnswer: -33\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1647785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 313 or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 26911712?\nAnswer: 11\/26911712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2365, 4700, 7035, 9370?\n\"Answer: 2335*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.343137 rounded to 2 dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 432?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:24 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 0.031, -2, -1, -393\/2?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 9*l - 170 - 322. Solve 33*x = l + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-9))\/(f*(f*(f\/f**19)\/f*f*f)\/f)*(f\/(f**(-46)\/f))**(-3\/8) assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 12) in base 9?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7284, -14694, -22236, -29910, -37716?\n\"Answer: -66*w**2 - 7212*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/(-6))\/(9\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -68. Let p = i + 47.3. Round p to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 8*p + 7. Let z be j(6). Let a = 1417 + -1208. Calculate the greatest common factor of a and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000091809714 rounded to six dps?\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49a39 (base 15) to base 3.\nAnswer: 102221121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 215*q - 264. Determine t(58).\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 - (-580)\/(-48) - 11\/(-132). Determine u, given that 9\/7*u**3 + 6\/7*u**2 + 0 - 15\/7*u**4 + n*u = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 4*d**2 + 0*d**2)*(3 - 3 + 3)*(-2*d + 1 + 4 - 3).\nAnswer: -24*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by -24\nAnswer: -233\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 171968.476 to the nearest 1000.\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 - 85*o**4 - 30*o**3 + 550*o**2 - 695*o + 255 = 0. What is o?\nAnswer: -3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10616368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2592) - (0 + sqrt(2592))*1) + sqrt(2592)) - (5 + ((sqrt(72)\/sqrt(4)*-3 - sqrt(18)) + sqrt(18) - sqrt(54)\/sqrt(12))).\nAnswer: -5 + 237*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 7235*x - 3274290.\nAnswer: 5*(x - 1809)*(x + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 1080 = 76*s - 2898 + 10786 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17193239.\nAnswer: 7, 17, 144481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7272736 grams?\nAnswer: 727273.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 27. Let h be q(14). Which is smaller: h or 30?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*k = -170, -3*a + 3*k - 61 = 101. Let w be (a\/22)\/(5\/(-4)). Let 1 + 35*t + 39*t**w - 80*t**3 + 4 + t**2 = 0. Calculate t.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9856741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let m(j) be the first derivative of -j**2 + 2*j + 44. What is -2*m(z) + 2*v(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 + 0.3. Let d = 0.55 - q. Which is the closest to -1? (a) -2 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let 0*c + 4*c + 2 + 0*c**2 + 2*c**j = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 t when three letters picked without replacement from {l: 5, k: 1, d: 2, u: 2, j: 1, t: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2535\/(-11154))\/(24\/(-198))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/2 - -2*(-10)\/(-6). Factor -1\/3*f - n*f**2 + 2\/3*f**3 + 0.\nAnswer: f*(f - 1)*(2*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t**2 - 3*t + 20. Let i(p) = -p**2 + p - 1. What is -g(a) - 2*i(a)?\nAnswer: -a**3 + a - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1267454 and 2238.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:41 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 966.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12888838 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(-26\/9)\/((j\/(j**0\/j))\/j**10) assuming j is positive.\nAnswer: j**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80716945 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 427 (b) -3 (c) -1\/7 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4381.\nAnswer: 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfdfsffdygyd. What is prob of sequence dgff?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.457403241 minus -0.1?\nAnswer: 27.557403241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*f - 3*f**2 - 38*f to the form a*f + b + d*f**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-66))\/(1\/(-10)) and (-3)\/(-21)*5146\/186?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6051337*a - 2179719?\nAnswer: 6051337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.01 (c) -2 (d) -4 (e) -209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 74 + 48 = 0. Let k(p) = -u*p**2 + 47*p**2 + 4*p - 4*p. Let x(t) = 3*t**2. Determine x(k(w)).\nAnswer: 588*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -1.7. Let v = d + 1.6036. Round v to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i + 27. Let y be d(-8). Let z be ((-40)\/14 + 2)\/(y\/66). What is the third smallest value in -2, 2, -2\/9, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375*n**4 - 480 wrt n?\nAnswer: -1500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648851519?\nAnswer: 648851519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2*g + 108 = 6*z, -5*g + 12*g = 2*z - 2*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 897984 and 438336.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a456 - 4?\nAnswer: -2a45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 22 + 589 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33792 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 10440 - 10474 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 11*b**2 - 37*b - 180. Calculate the remainder when r(-12) is divided by 105.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 15*i**3 - 3*i**2 - 3*i + 8. Is 47 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 163*p**2 + 3207*p - 288. What is x(-23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1071979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.050935 litres in millilitres?\nAnswer: 5050.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4\/(-14) - (-5136)\/(-2996). Let z = 9 - 5. What is the units digit of (-90 + -6)*m\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.6 - 4.8. Let q = -0.2 + 0.4. Let p = q + w. Which is smaller: -0.3 or p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21201002212 - -2121?\nAnswer: 21201012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5114221 rounded to two decimal places?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 4) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 7) in base 13?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17531, 4, 3, -8, -4 in increasing order.\nAnswer: -8, -4, -1, 3, 4, 17531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12459*-0.5.\nAnswer: 6229.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -4*s - 8. Let a be s\/21 - 12\/(-28). Is a >= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1449112 and 904.\nAnswer: 1449112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -8) + -3 + 1. Suppose 6*j = 212 - 50. Calculate the greatest common divisor of h and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(-26)\/546*28*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5720, 11493, 17304, 23153, 29040?\nAnswer: 34965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4063, 125\/4, 0.5, -1 in decreasing order.\nAnswer: 4063, 125\/4, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -890, -6, -8, 0 in decreasing order.\nAnswer: 0, -6, -8, -890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22307963 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-36 - -127) - 8.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, d: 3, b: 6, s: 2}. Give prob of picking 1 d and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13280 - 13275. Solve -s*h = -101 + 96 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 226714776?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 - -1) - (6 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 34. Let f be u(16). Suppose 0*j - 8 = -4*j. Is j + -19*(-10)\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + 3) - ((-4 - -2) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*o - 77*o + 43*o + 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3277, 3265, 3229, 3157, 3037, 2857?\n\"Answer: -2*x**3 + 2*x + 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200413, -200421, -200429, -200437?\nAnswer: -200445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/16 and 127\/53513950?\nAnswer: 428111600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = 15, -2*c - 29 = 5*p. Let d = 15 - 14. Let x = d - c. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/24 - l**4\/24 + l**3\/3 - l**2. Suppose 2*w - 2*z = 6, 0 = 2*w + 5*z + 1. What is the units digit of g(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 12:58 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -11, -1, -518, 3, 0 in decreasing order.\nAnswer: 3, 0, -1, -11, -69, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*v - 36, 0*j + 4*v = 2*j + 2. Let w(c) = -c**2 - 11*c - 24. Let z be w(j). Solve 3*d + z = 7*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(2264*x**4 + 3075*x**4 - 2700*x**4) to r*x**4 + g*x + z + i*x**3 + a*x**2 and give r.\nAnswer: -2639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - z = 9*x + 5, 5*x - 2*z + 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k + 9. Calculate the smallest common multiple of 10 and n(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/10)\/(9\/(-1035)). Suppose -2*i + 666 = -q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 18 = 3*s. Let n be 20 - -1 - (-3)\/s*3. Let m = 0 - -2. Solve -m*k = -5*z - n, 3*z + 4 = 5*k - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32938, -65779, -98620, -131461, -164302, -197143?\n\"Answer: -32841*d - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 23144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -114115532 (base 6) to base 3\nAnswer: -11001120012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -313a - 142?\nAnswer: -3281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49069650.\nAnswer: 2, 3, 5, 7, 17, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m*m\/(((m*m*m*m**6*m)\/m)\/m)*m))*m\/(m\/m**(2\/17)*m*m)*m**(-1\/5)*m*m*m*m\/(m\/(m**(-17)*m)*m*m*m) assuming m is positive.\nAnswer: m**(-1962\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 328829\/104955 + 2\/6997. Find the common denominator of -22\/15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -w - 17 + 9, 2*z = -w. Suppose 5*s - 24 = 26. Solve -2*t - s = -z*q, 2*q + t - 10 = -0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -80895, -9, -2, 0, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.4, -4, 3.\nAnswer: -4, 3, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by -1418667?\nAnswer: 106\/1418667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5964834193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 841191889 a multiple of 8031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058813641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8049309 and 9.\nAnswer: 24147927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2. Let i be f(-1). Let y be (9\/i)\/((-15)\/(-8)). Suppose 4*b = 2*b - 4. What is the nearest to -0.1 in -0.1, y, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 25, 71, 147, 259?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -9 + 29. Let z(o) = -3*o - 5*o + 3*o + 4*o. Let n(g) = 12*g - 4. What is r*z(a) + n(a)?\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19568936 is divided by 254?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 41*s + 4588. Determine k(-112).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*-1*sqrt(325)*-6.\nAnswer: -5 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 - s**4\/2 + 53*s**3\/3 - s**2 + 73*s. Differentiate b(y) with respect to y.\nAnswer: 2*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:43 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1\/2, -1\/2, 5.82?\nAnswer: 5.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28536, 57087, 85644, 114201, 142752, 171291, 199812, 228309?\n\"Answer: -u**3 + 9*u**2 + 28531*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 minus 38787061?\nAnswer: -38787174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6265 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 140598, 562674, 1266228, 2251260, 3517770?\n\"Answer: 140739*o**2 - 141*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6375.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18643.\nAnswer: 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/136 - 467\/5304. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.3 - 124.3. Which is the closest to z? (a) 3 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spssssspss. What is prob of sequence sss?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 95*v**3 + v + 2. Let a be l(-1). Let k = 5 - a. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -42b?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 318611.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -34 + 14. Sort -404, c, 4 in increasing order.\nAnswer: -404, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 41 + 41. Let c(p) be the third derivative of -p**4\/12 - 2*p**2. Give c(f(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 170\/7 (b) 59 (c) 3 (d) -0.4 (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-46)*(-7)\/(-42) - 53\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlll when four letters picked without replacement from tlttttttttlttttltl.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 + 8. Let p = -147 + d. Is p at most -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/3))**(2\/15)*(c*c**1)\/c*c*c**(-2)\/c*c*((c*c*c**(-1\/4)\/c)\/c**(-6))\/(c*c*c**(2\/3)*c*c\/(c*c**(2\/17))*c) assuming c is positive.\nAnswer: c**(1483\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -1) + (-19 + 62 - 31)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 19. Suppose 4*g - 49 = 3*h, 6*h - g + 64 = 3*h. Calculate the remainder when w is divided by h + 31 - -1*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64535\/2 or 32267?\nAnswer: 32267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-seven fifths of a second?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 931 + -916. Solve -2*c + c = -5*g + i, -3*c - 7 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, 29, 21 in descending order.\nAnswer: 29, 21, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyywywwwyw. What is prob of picking 3 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 298*w - 5059. Give f(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12 = j + j, -j - 3*g - 1 = 0. Let n(w) = 0*w - j*w + 2*w - w**3 - 4 - 5*w**2. What is the units digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m + m - 6 - 3*m**2 + 3. Let b(s) = -s + 2*s - 2*s. Determine b(p(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 7*r + 0 + 9*r**2 + 1\/3*r**3. Calculate s(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 7. Suppose -4*g + x - 56 = 0, g = -4*g + 5*x - 85. Let s(c) = -c**2 + 4*c - 2. Let z be s(3). Let q be (g + z)\/((-18)\/12). Give b(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3112\/5 - -623. Suppose -1\/5*o**2 + 2\/5 - 3\/5*o**3 - 1\/5*o**4 + y*o = 0. Calculate o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/(-1))\/(341\/((-25916)\/(-152))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.206 + -222572155.401.\nAnswer: -222572155.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 1 + 10. Suppose f*i = 62 + 367. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698 = 3*p - 2*u, -2*p + 4*p + 478 = -5*u. Let m = 330 + p. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o\/(o\/(o\/(o**(-4)\/o))*o)*o)*o*o)*o)**45 assuming o is positive.\nAnswer: o**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -193*s - 13. Let y be b(-11). Let z = y - 18940\/9. Find the common denominator of z and 21\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7046215*i**2*r**3 + 36728*i**2*r**2 + i**2*r + 2*i**2 - 3*i*r**2 - i*r wrt r.\nAnswer: 42277290*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26409 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + sqrt(140)*2 + sqrt(140) - sqrt(140))*3 + sqrt(140))\/(-1*sqrt(64)))\/(-4*sqrt(7)*-5 + (sqrt(7)*-2 - sqrt(7))*5).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2007*z**2 + 5 - 868*z**2 - 3*z - 74*z**2 wrt z.\nAnswer: -5898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*o + 2539177*h + 2007406*o + 1 wrt h?\nAnswer: o + 2539177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 4*h**4 + 3*h**4 + 83*h - 84*h + 16*h**2 + 3*h**4 to w*h**3 + f*h + n + l*h**4 + c*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 7276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-14) - 5382\/182. Let t = 19\/2 + z. Is t at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127384922 != -127384922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**3 + n**2 + n - 2. Give j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51364240?\nAnswer: 2, 5, 71, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**2*k**3*m - 11148*b**2*k**2*m**2 - 45*k**3*m**2 - 166810*k**3 wrt m?\nAnswer: -22296*b**2*k**2 - 90*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15.3 * -257.7173\nAnswer: 3943.07469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3896*r - 10 + 10.\nAnswer: 3896*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5332933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.1869 rounded to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 1834*u + 840889.\nAnswer: (u - 917)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-126))\/(30\/(-84))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9135923 is divided by 5703?\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4*u + 6*u)*(4 - 27*u - 4)*(-u**2 + 2*u**2 + 6*u**2).\nAnswer: 189*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.395077 rounded to 1 decimal place?\nAnswer: 268.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w - 1. Determine f(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 110727*m - 110724.\nAnswer: -3*(m + 1)*(m + 36908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s*s*s**(4\/7)*s*s**10*s**(-1\/5))**26)**14 assuming s is positive.\nAnswer: s**(24336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/31? (a) -1 (b) 42 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60*(-212)\/7420)\/(1*1\/(-77)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 11. Suppose 48 = 4*i - t + 5*t, 2*i + t = 19. Let q be g(i). Solve 0 = q*u - 4, -2*v + 2*u - 14 = -2*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/143 and 97\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16062.25 days to nanoseconds.\nAnswer: 1387778400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3562.\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99\/20 + -293\/60. Let z(b) be the first derivative of 0*b**2 - 2 + 0*b + f*b**5 + 1\/12*b**4 - 2\/9*b**3. Determine n so that z(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -22 - (-17 - 24 - -50).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41028132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from bqxqbbbqqbbssb.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.76801 decades in years?\nAnswer: 787.6801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 1303 = -1528 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3\/13 + 157692*m**2\/13 + 157778*m\/13 - 6623148\/13 = 0.\nAnswer: -7, 6, 78847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-11284)\/899 - 46\/667)\/(3 + -2)?\nAnswer: 18\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4*u**3 + 4*g**3*p*u**2 - 757*g**3*p + g**2*p*u + 4*p*u - 2*p + 293*u**3 - 18*u**2 wrt g?\nAnswer: 72*g*u**3 + 24*p*u**2 - 4542*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 143 and 92489?\nAnswer: 13225927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 144\/14 - (-2)\/(-7). Let g be ((-12)\/w)\/((-4)\/10). Suppose 3*m = -12, g = -2*x - 2*m - 1. Solve 0 = -c + x*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1257*c + 1280*c + 115 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -32.9. Which is the nearest to 1? (a) h (b) -1\/7 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-131812)\/(-1178) + 0 + (-2)\/(-19) is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2. Let z(p) = -2*p + 323. Calculate z(q(u)).\nAnswer: -6*u**2 + 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 1. Let n be o(-1). Let f = 10 - n. Sort -4, 3, f in increasing order.\nAnswer: -4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g**3 - 9*g**3 + 7*g**3 - 86*g**2 - 1313*g + 1073*g = 0.\nAnswer: -40, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10874078*4\nAnswer: -43496312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:43 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + k**3 + 2*k**2 + (1 + 3 - 6)*(k**3 + k**3 - 4*k**3)*(1 + 0 + 5).\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51537, -103048, -154561, -206076, -257593, -309112, -360633?\nAnswer: -412156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3195960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1201, 2\/13, 1, 1.45, -28, -0.3 in decreasing order.\nAnswer: 1201, 1.45, 1, 2\/13, -0.3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, 0.4, 4\/5, 1\/3, -1 in decreasing order.\nAnswer: 4\/5, 0.4, 1\/3, 2\/29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/3 - 12350*h\/3 - 1950400\/3 = 0. Calculate h.\nAnswer: -12190, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 497560 > 8458531\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 6*j**2 + 3*j**2)*(2*j**3 - 3*j**3 + 2*j**3) + 61*j**5 - 711*j**3 + 711*j**3.\nAnswer: 58*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = d. Find the third derivative of 3*f**2 - 20*f**6 + 8*f**6 + 15*f**6 - f**d wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -279 in -3\/8, -3, 0.16, 0.05, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 3*c + 4*c)*(2 + c - 2) - 28 + 23*c + 29 - 22*c - 38*c**2 to the form y + f*c + v*c**2 and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8637121 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 47*c + 8. Calculate the least common multiple of (-196)\/(-48) + 6\/(-72) and k(2).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216244492 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**3 + 8*c**2 - 9*c + 6. Let d(w) = 6*w**3 + 9*w**2 - 10*w + 7. Let g(k) = 14*k + 49. Let b be g(-3). Calculate b*v(r) - 6*d(r).\nAnswer: -r**3 + 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2 + 0*b - 2*b - 15 + 19. Calculate k(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44 and -32.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 130527*389\nAnswer: 50775003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.06 + 1.75. Let j = -624 - -622.81. Let f = j + q. Which is the biggest value? (a) f (b) 2\/5 (c) -5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*k + 429*k - 203 - 44 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 5046?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/21 + (-4)\/6. Suppose 5*w - 10*w + 95 = s. Calculate the remainder when 75 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26132812 = -0*f - 44*f + 30396760. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -3468?\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2, 0.5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fgfffffffgfffggfffgf.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/39799?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.0603086\nAnswer: 0.0603086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 226 + 226.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 174*q = -173*q - 17, q = 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*g - 9. Solve g*h - 16 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 27. Let x = b + 8. Let i = x + -9. Is i less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 243665\/11?\nAnswer: 243665\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 20*l**2 + 58*l - 23. Is u(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(5\/(-3)) - (-9 + 132\/20). Put -1, -4, g, 170 in ascending order.\nAnswer: -4, -1, g, 170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2890 and -39289 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2665*z**2. Let d(i) = -154*i. Calculate k(d(c)).\nAnswer: 63203140*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 8*d**3 + 3*d**2 + 14*d - 104. Is t(-6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 126\/15*30\/(3 - 1). Suppose -7*l + 133 = -c. What is the remainder when 110 is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4115 <= -312.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -6 - 3 - (9 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -56*w**3 + 27*w**2 - 47*w - 20. Let d be o(-12). Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - 2*t**2)*(2 + 1 - 1) - 5*t**2 - 43*t**2 + t**2 - 92*t**2 + 46*t**2 - 105*t**2.\nAnswer: -202*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/7 - 102*f**3\/7 - 5714*f**2\/7 - 5610*f\/7 = 0. What is f?\nAnswer: -33, -1, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125117223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*h - 37. Suppose 10*f = h*f + 9. Solve -4*t + 6 = -2*k, 3*t = f*k + k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-5)\/(-1)) + 525\/125. Let d(t) be the first derivative of -5\/3*t**3 + 0*t + 1 - t**a - 1\/2*t**2. Factor d(k).\nAnswer: -k*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:39 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 643380968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 6*i**2 - 2*i. Let k be c(6). Let h(v) = -v + 10. Let t be h(8). Is (-76)\/k + t\/(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4642*j - 37563. Determine a(-8).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5915, 5917, 5919, 5921, 5923?\n\"Answer: 2*x + 5913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhnjhjhjjjjjjjj. Give prob of picking 1 n and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3\/3 - 80*s**2 - 915*s + 3420 = 0.\nAnswer: -12, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -1\/6 (c) -3\/214 (d) 11 (e) 2\/15 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -2*z. Let y(d) = -65*d + 2. Let q be y(z). Suppose 78 = 2*k + 2*v - 7*v, 0 = -4*k - 2*v + q. Calculate the greatest common factor of 85 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -1, -5, -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let r be l(-4). Find the common denominator of r\/5 - (-3464)\/(-160) and 33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**2 + 4681 + 2*k - 30*k**2 - 4698 in the form a*k**2 + v + p*k and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 1. Suppose 5*q = 3*s + 15, -21 = -5*q + 4*s - 6. Which is the second biggest value? (a) h (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 4 = 24. Sort -133, -3, h, 0 in descending order.\nAnswer: 0, -3, h, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 140\/99?\nAnswer: 140\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (-1 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 (base 14) in base 12?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -y - 0*c + 444, -c = -4*y + 1811. Let g = -2019 - -2022. Suppose -11*v + y = g. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3380 = -0*q. Is q\/(-7) + 6\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35\/3 - 131\/12. Let o = -601 + 603. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 + 279002*v**2\/11 + 51842478*v\/11 + 219079170.\nAnswer: 2*(v + 93)**2*(v + 139315)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2\/9 (c) -0.0084 (d) -0.4 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t**2 + 24225930 + 4*t - 24225948 + 2*t to the form a*t + o + h*t**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20110201 (base 3) to base 7.\nAnswer: 16516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18) + (-102)\/108?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a + 12\/7*a**7 + 0*a**6 - 102 + 44*a**3 + 0*a**4 - 1\/5*a**5 + 0*a**2. What is the third derivative of u(m) wrt m?\nAnswer: 1440*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*k = -572*k + 38444. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -2542522?\nAnswer: -2542521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*s - 5*g, s + 4*g - 15 = 3*g. Solve n - 5*x = -n + s, 9 = -3*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*q + 7*q. Calculate the smallest common multiple of 42 and (-3 - -1) + q + 22.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -315 - -314.6. Let n = -0.2 + 1.2. What is the nearest to n in o, -4, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, 13, 296 in descending order.\nAnswer: 296, 13, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 18*x - 18. Determine d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 - -130 - (55 - 5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 1119705817923?\nAnswer: 1119705817922.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -48. Suppose -5*u - 11 = 9. Is b - -7 - u\/(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8530 is divided by 502.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 10*j**3\/7 - 82*j**2\/7 + 52*j\/7 + 144\/7 = 0.\nAnswer: -1, 2, 36\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m - 2*m - 13*m**2 + 30 - 39 wrt m?\nAnswer: -26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 15 - 804\/(-264).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = x - 2*g, 5*g = -3*x + 17. Let a = 3\/2 + x. Solve -a*b + 0*b**2 - 1\/2*b**5 + b**3 + 0*b**4 + 0 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26693176*7\nAnswer: 186852232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -0.3. Let d be (-15 + -1)*11\/(66\/(-12)). Suppose -8 = -6*s - d. What is the nearest to i in 3, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(85) - (-2*sqrt(85) - sqrt(85))))\/(-5*sqrt(25)\/sqrt(5)).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 25*y + 7700 = 0. Suppose u + y = -4*m, -4*m + 3*u = u + 1910. What is m rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(360\/(-27)))\/(1\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73, 16, -209, -638, -1307?\n\"Answer: -6*f**3 - 48*f**2 + 129*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -14*q - 1. Let j(u) = -999*u - 1342. Let l(r) = j(r) - 3*s(r). Differentiate l(z) wrt z.\nAnswer: -957","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -5*v**8\/112 + 13*v**5\/60 + 7*v**2. Find the third derivative of o(w) wrt w.\nAnswer: -900*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u\/u**(3\/4))\/u)\/(u*u\/u**(-7)))**(-11) assuming u is positive.\nAnswer: u**(341\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.622\nAnswer: -2.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - j + 91. Let t be f(0). Suppose -3*x - 5 = -4*x. Suppose x*l = t + 14. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 3\/4 (c) 1 (d) -2\/11 (e) -61.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 2*z - z)*(2*z + 10*z + 0*z + (z + 2*z - z)*(-3 + 3 - 1)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 143287369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724681988?\nAnswer: 2, 181170497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, 1 x, and 1 a when four letters picked without replacement from {j: 2, a: 8, v: 2, x: 1, e: 2, b: 2}?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 8*k - 1. Let s be v(1). Does 13 divide (2 + -4)*(0 + 292\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let z be -30*(x + (-12)\/5). Suppose z + 20 = 4*p. Solve s - p - 11 = -4*i, 0 = -5*s + i + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a + 31. Let j(m) = 4*m + 15. Let g(i) = -13*j(i) + 6*t(i). Let z be (-6 - (3 - (3 - -2)))*1. What are the prime factors of g(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 1346 - 1331 = m, 2*k = -5*m - 33 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/20 + 1 + 201\/15. Let p = -4 - -1. Let o = a + p. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -3, 0.2, 2\/13, 195.\nAnswer: -3, -0.8, 2\/13, 0.2, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)*1\/(-1). Let k be (2\/f)\/4*-2. Is 19*-3*k\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -0.0253.\nAnswer: 0.3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298934569 to the power of 1\/2, to the nearest integer?\nAnswer: 17290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-24) + (-42)\/(-28). What is the closest to 14\/5 in v, -1, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2503*f = -2495*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x = 35*x + 6 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + 6*h**5 - 6*h**5 - h**5 - 3*h**4 + 3*h**4 + 2*h**5 + 0*h**5 + 0*h**5 + (0*h**5 + 0*h**5 + h**5)*(4 + 0 - 2).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, 37, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.8979 and 94.\nAnswer: 96.8979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 69. Let u be 4\/(12\/171)*r\/(-3). Put 0, -5, u in ascending order.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) -0.03 (c) -9 (d) -333 (e) 6\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261090009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-34 - (-18 + 17 + -15)) - 51.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-17)\/51)\/(2\/(-852)). Let n = c - -645. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-15 + 15 + 14*f)*(5 - 1 + 8) - 2*f - 2*f + 2*f)*(4*f**4 - 3*f**4 - 10*f**4) + 5*f**5 - 3*f**5 - 3*f**5.\nAnswer: -1495*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -72, -153, -264, -405, -576, -777?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -268 + 11.8. Let y = u - -280. Let c = y + -22. What is c rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*v + 6*v + 112 = 0, z - 3*v = 34. Let r = 6 + -3. Suppose 42 + 15 = 5*c - r*b, -31 = -3*c + b. Calculate the remainder when z is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 1, r: 1, a: 1, h: 1}. What is prob of sequence qh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7*(-5)\/((-30)\/4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/47933068 and 48\/20801?\nAnswer: 527263748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183\/7 - -185\/7. What is the closest to d in 0, 4, 7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 36933?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484) + 4*-6*sqrt(484))\/(6*sqrt(50) + sqrt(720)\/sqrt(10))*-2.\nAnswer: 253*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:27 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30544, 30234, 29926, 29620?\n\"Answer: g**2 - 313*g + 30856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 5*z - 2. Let v be c(-6). Suppose -y + 78499998 = v*y + h, 2*y - 31400006 = 3*h. What is y rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16095, 32186, 48215, 64176, 80063, 95870, 111591?\nAnswer: 127220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3417749.\nAnswer: 3417749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -2857?\nAnswer: -1714.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 393078239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-43)\/(-5)*5\/(-2) and 143\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*20\/(-110)*(-187)\/68*20.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -2. Let v = -227664\/5 + 45533. What is the closest to -0.1 in v, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*z + 7*z + 2 = 0, 8*z = 6*r + 7*z + 40 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-165))\/(3\/(-135)). Let f = d - -1483\/132. Calculate the common denominator of f and (-1809)\/(-324) + (-4)\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let m(k) = -6*k**2 - k - 2*k + 5*k**2 - 3. Let g be m(-3). Sort s, g, 2 in increasing order.\nAnswer: g, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0208 (b) 1 (c) 0.3 (d) 3 (e) -6 (f) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:24 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47806 is divided by 1407?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27720 divided by -55\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 45006*q - 45009*q - 22, 4*q + 56 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 15 = 3*i - b, 2*i + 4*b = -12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135071.\nAnswer: 19, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8213639 litres?\nAnswer: 821.3639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let f = 3 - m. Let s = -0.15 - -0.25. Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = 0, 7*r + 3*l = 2*r + 304121. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-16.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 4, 11, 1, -20, -5 in descending order.\nAnswer: 11, 4, 1, 0, -5, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**3 + 18*i**3 + 20*i**3 + 22*i**3 + 19*i**3 - 98*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157739 and 389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.57 and -10.\nAnswer: -4.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1256 (b) -4 (c) -0.26 (d) 5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 8820 = 54*a + 27*a. Solve 163*i - a = 177*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u + 2*z - 23, 0 = 5*z - 20. What is the units digit of (0 + -167)*(u - 2 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 2*i - 1. Let q be r(-1). Sort q, -12, 2.\nAnswer: -12, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1544 (base 12) to base 4\nAnswer: 213010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175\/70 - 15\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3281, 10390, 17499, 24608, 31717?\n\"Answer: 7109*o - 3828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 - 14*h + 1. Let t be m(5). Solve 4*y = 5*v - t, -7*y + 3*y - 22 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*j - 4*k - k = 167*j + 38, -26 = 2*j - k for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386494 - 386660.737. Let l = r - -167. Round l to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 2*j + 3. Let d(y) = y**2 - y - 2. Let v(k) = -11*d(k) - 6*h(k). Determine v(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1247 + -1985. Let x = 737.7 + r. Which is the smallest value? (a) 9 (b) -5 (c) x (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let i(s) = -385554*s - 11. Give g(i(d)).\nAnswer: 385554*d + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 986. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5132 is divided by 728.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f9e (base 16) in base 5?\nAnswer: 224334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmzytzx. What is prob of sequence yz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 13*w + 4*s - 3*s + s = 0, 5*s - 23 - 19 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from urxrrruu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**5 - g**2 - 1. Let w = -38 - -37. Let j(m) = -8*m**5 + 20*m**4 - 32*m**3 + 20*m**2 + 4. Let l(y) = w*j(y) - 4*a(y). Let l(i) = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2. Let t(z) be the second derivative of -z**3\/3 - 7*z. Calculate c(t(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 22*z**2 - 55*z - 507. Determine t(15).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -u. Let z(x) = -x**3 - 5*x**2 - 5*x - 3. Let p be z(u). Let k = p - -5. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 + 4 + 877*t**4 + t**2 - 2626*t**4 + 875*t**4 + 875*t**4 - 5*t**2 to the form g + u*t + o*t**2 + s*t**3 + x*t**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269257 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*s + 324*s + 182 = -345*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpq when three letters picked without replacement from cqpvvpccvcp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80712 and 4176.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -23. Let z = 33 - d. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85781 + 85788. Let h(g) = -g**2 - 6*g - 5. Let k be h(-5). Let l(u) = -u + k*u**2 + 8*u - u**2. What is l(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 6*p - 8. Let s be v(-7). Let i be (-60)\/(-100) - 9\/s*14. Solve 7 = -3*a + 6*a - o, 2*a - i = 5*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x**2 - 9. Let c(h) = -2764*h - 2796*h + 5564*h. Determine p(c(a)).\nAnswer: 192*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {y: 8, s: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.673 - 124884?\nAnswer: -124879.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/252*3*6\/4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59826 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3095.6 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2 (c) 1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23608 and 1768?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1644 and 74.\nAnswer: 60828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4519*t - 8 + 16.\nAnswer: 4519*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 337894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375, -354, -289, -156, 69, 410, 891, 1536?\nAnswer: 2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 - 12*v + 25. Suppose 108 = 360*j - 348*j. Calculate u(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 1\/4 (b) -1 (c) -0.1 (d) -0.3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38\/9 + -4. Let j = -0.01 - -4.01. Which is the closest to p? (a) 0 (b) j (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553306067 take away 62?\nAnswer: 1553306005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92 + 0*t - 77*t**2 - t + t wrt t.\nAnswer: -154*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 12. Suppose -f*h = h. Solve -2*n + 10 = -h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*v - 22, -2*v - 16 = -6*v. Suppose o + 74 = 2*j, 3*o + 85 + 32 = r*j. Find the second derivative of -j*w + 87*w - 5*w**4 - 42*w wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3640)\/(-1560))\/(21\/4). Factor o*p**3 - 2\/9*p**4 + 0*p**2 + 0 + 0*p - 2\/9*p**5.\nAnswer: -2*p**3*(p - 1)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -418, 2 in descending order.\nAnswer: 2, 1, -5, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*a + 8. Let t be a + 3 + -6 + 1. Solve -n + 4*p - 10 = -0*n, n + 2*p = t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 115 - 115.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 26. Let d be ((-58)\/(-1242))\/(6\/90). Let t = d - 11\/23. Which is the third smallest value? (a) g (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*o - 9584, 31*v = 3*o + 32*v - 7178. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/12 - 7*j**3\/6 + 5*j**2\/2 - 3*j. Let f = -17 + 34. Let s = f + -11. Give g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + ((-180)\/6 - -17).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/(-10)*185\/296)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-3278)\/33. Let a = -99 + m. Solve 0 = -t + 4, 5*u - u - t + 4 = a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -461db?\nAnswer: -461dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360732.\nAnswer: 2, 97, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 - (-32)\/6) + -5 and 31\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.118? (a) 26 (b) 0 (c) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24356)\/(-11) - 6\/33. Let l = 4014 - i. Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 - 3*g**5 + 4*g**5 + (2 + 2*g**3 - 2)*(-2*g**2 + g**2 - g**2).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*v + 19, 11*z + 3*v - 15 = 8*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(65\/(-5))*1247\/258?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -40. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1056390 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -30 + 24 + 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1 - 12 + 23*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 8. Let c be 5\/(-4) - (-1)\/r. Is (-52 + 1 + -2)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3891 + 3714. Is s greater than -351\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(162)).\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 42*q + 6 - 10 + 14*q.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128493 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28745.196 months to millennia.\nAnswer: 2.395433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g**2 - 3*g. Let h(z) = z + z**2 + 8*z**2 - 18*z**2 + 8*z**2. Suppose -7*b = 2*k - 3*b + 6, 4*k + 4 = -4*b. Give k*w(n) + 3*h(n).\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065820 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.32 at most -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1404 and 25454?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828121.\nAnswer: 1828121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 274233, 274231, 274229, 274227, 274225, 274223?\n\"Answer: -2*h + 274235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*((v - v + v)*(5 - 4 - 3) + 0*v + 2*v - v + 19192*v - 5299*v - 7721*v + (v + 3 - 3)*(1 + 4 - 6)).\nAnswer: 6170*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1068*n - 6393. Calculate u(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8000 + 8001. Suppose 0*n = -5*n - 15. Which is greater: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 0*z - 1\/12*z**4 + 0*z**2 + 2*z**3 - 4 - 1\/120*z**5. Let n(q) be the third derivative of t(q). Calculate n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*p + 3 + 3)*(3 + 11 - 4)*(2*p**4 + 0*p**4 - 3*p**4).\nAnswer: 30*p**5 - 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25754232 and 210.\nAnswer: 128771160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:45 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let y(k) = -k**3 - 13*k**2 - 51*k - 12. What is the remainder when 134\/(q*4\/6) is divided by y(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682 + 235 = 75*y - 475 - 1008 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + 103. Let b = j + 44. What is the remainder when b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s + 15 = -11, 2*s = -2*u + 22. What is the remainder when 22 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 12. Let r be l(10). Suppose r*g + 4*k - 15 = 3*k, g + 3*k + 5 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70521 and 95535.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4 - j**3\/3 - j**2\/2 + j + 2. Let l be o(1). Solve -2*h + 20 = l*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10483\/40 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 332, 655, 988, 1337, 1708, 2107, 2540, 3013?\n\"Answer: y**3 - y**2 + 319*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20731 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -166*p - 2156. What is t(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21264629 is divided by 7088188.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/26197266 and 12\/21831055?\nAnswer: 130986330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2281.53 or -1\/721?\nAnswer: -2281.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-360))\/((-3)\/747). Which is bigger: 25 or n?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**2\/5 - 7942*f\/15 + 588\/5 = 0 for f.\nAnswer: 2\/9, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819936 to the power of 1\/2, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -5*i - 11, i - 25*z + 20*z = -16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m + 2*m)*(4 + 4 - 2) + (3*m - 7*m - 6*m)*(-3 + 1 - 1) - 2 + m + 2 as l*m + g and give l.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, and 2 j when four letters picked without replacement from sjssyssmggmsqjsmg?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**8\/840 - 17*s**7\/1260 - s**6\/18 - s**5\/15 - 5*s**4\/12 - 3*s. Let g(p) be the third derivative of z(p). Factor g(b).\nAnswer: -2*(b + 2)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001000110 (base 2) in base 3?\nAnswer: 2012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/(5\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-26)\/(-8) + -21 + 20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 + 1.9. Let s = 6 - g. Let k = 0 - s. What is the nearest to -1 in -1, -2\/3, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1520 and -17\/8056.\nAnswer: 80560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 228232240.6 rounded to the nearest 100000?\nAnswer: 228200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*y = 129*y + 84. What is the lowest common multiple of 84 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0*l - 4*l + 19*l + 19 + 0*l - 14*l. Give s(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 9*u**2 + 5*u. Let v(n) = n**3 - 4*n**2 - 2*n - 1. What is -9*v(r) - 4*w(r)?\nAnswer: -r**3 - 2*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 37 = -52, -5*z + 4*o = 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 1}. What is prob of sequence lgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + 13361\nAnswer: 13360.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z**2 + 8*z + 13. Let j(m) = -9*m**2 - 8*m - 8. Determine -3*j(t) - 2*k(t).\nAnswer: 7*t**2 + 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Round 28.78242 to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(117) + 3*sqrt(117)) - sqrt(117))\/((sqrt(72)*-1)\/sqrt(8)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m + 0*m + m)*(5 - 4 - 3) + 0*m + m + 0*m)*(3*m + 16 - 16 + 2*m - 2*m - 3*m + (3*m - 2*m - 3*m)*(-1 + 2 + 0)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 342184?\nAnswer: -1026552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9863*y = 15608*y + 637695 for y.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 31 + 6 = 0, -16 = -2*v - 2*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 - 3*y**2 - 6*y + 31. Is 21 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -323 = -971\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/41, 0, -44, 1, -7\/5 in increasing order.\nAnswer: -44, -7\/5, 0, 2\/41, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.959526 millimeters to centimeters.\nAnswer: 0.2959526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10 - -2 - -6) - -1572 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(24955\/92))\/((-4)\/(-42)*57)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((90\/3)\/3)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -15 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 13724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, -2\/27, -139, -35?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 3. Calculate m(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**7\/840 - i**6\/60 + 7*i**3\/6 - i**2. Let q(o) be the first derivative of n(o). What is the third derivative of q(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 35 = -11. Suppose 0 = 3*m + 6, -f = x*m - 4*m + 344004. What is f rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 3:33 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 2*p**3 - 2*p)*(2274 - 4730 + 2161)*(3*p + 9*p + 0*p) as k*p**3 + u*p + j*p**4 + d + f*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -421.07 + 424. Let n = -0.07 - r. What is the nearest to -1 in 0.4, -5, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 15, u: 5}. Give prob of picking 3 f.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:56 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-120 + 117 - (-5 - (1 + -2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1957\/15 + -392\/3. Which is the third smallest value? (a) 7 (b) 0 (c) -3\/5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -3*r**4\/16 + 3*r**3\/4 - 9*r**2\/8 + 3*r\/4 - 8. Find f such that y(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 33644?\nAnswer: -33644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0*a)*a)\/a**(-1\/26))**41 assuming a is positive.\nAnswer: a**(1107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 1:24 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11488311, 22976620, 34464929, 45953238?\nAnswer: 57441547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) - (-1 - 8\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22206?\nAnswer: 2, 3, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -12 + (0 - (1 + -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4, -4*i - 4*p + 35 - 7 = 0. Suppose -18*f = i*m - 19*f - 1177, 5*m + 2*f - 1171 = 0. Does 47 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyyyqyyyyyyqyy. Give prob of sequence qyyy.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 2)*((3*h**3 - 4*h**3 - h**3)*(-1 - 5 + 4) - 2*h**3 + 2*h**3 + h**3 - 2*h**3 - 4 + 4).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25032336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/5 + 330972*g\/5 - 992907\/5 = 0. What is g?\nAnswer: 3, 330969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548281 is divided by 17574?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8615 is divided by 434?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 26 = -5*l, 20*l = 23*l - 2*g - 8. Let w = 9 + 11. What is the lowest common multiple of w and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 4\/(-4 - -2) - -6. Is 11 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/17*9\/(-14)*19\/((-1083)\/38)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -3 + 10 + (43 - 54).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*(p*p*p*p**(3\/5))\/p*p**(-16\/9)\/p**(-3) assuming p is positive.\nAnswer: p**(-98\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*o + 7957911 + 9201759 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, l: 2}. What is prob of sequence xlxl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 890209 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42118.\nAnswer: 2, 21059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s - 30. Let d(j) be the first derivative of j**4\/4 + 2*j**3 + j**2\/2 + 4*j + 4. Give d(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 360 = 591 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28701 is divided by 4776?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9)\/(4\/(-14))*9*60\/(-1080).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + (1 + 0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.4, 2\/33, -0.1, -897, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3177\/78456) + -2. Let z = 10\/353 - u. What is the common denominator of 2\/4*53\/5 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.11, -0.45, -49, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -342*n. Let z(k) = 2*k. Give v(z(m)).\nAnswer: -684*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -3, 29 in increasing order.\nAnswer: -11, -3, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4 - 5*r**3 - 47*r**2 - 15*r = 0?\nAnswer: -3, -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 107 + 26. Calculate the smallest common multiple of (-12)\/27 - (-2)\/(-12)*440\/(-3) and j.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -26\/3*w - 2\/3*w**5 + 28\/3*w**3 - 8*w**2 + 0 + 8*w**4 = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i. Let f = -23 - -25. Let m(q) = f*q**2 + q**2 + 0*q**2 + 7*q**2. Give m(c(s)).\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -99 + 99 - 24*k**2 + (5*k + 2*k - 5*k)*(3*k - 6*k + 2*k) - 3*k**2 - 3*k**2 + 5*k**2 as g*k**2 + h + u*k and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 + -11)) + -7 + -1 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -817221 - 0.02.\nAnswer: -817221.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/5 (b) 48 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 9*a + 4*a + 12*a. Let k(m) = m**2. What is k(c(j))?\nAnswer: 400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:37 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w. Let g(y) = -5750*y**2 - 1. Calculate n(g(s)).\nAnswer: 40250*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 12*l - 8. Determine b(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + 19. What is the tens digit of (15 - 14)*(v - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21010220002002 + 10?\nAnswer: 21010220002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*f + 742*f - 368*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-2)\/6 - 1). Let k = -14.92 - 0.08. Let w = 11 + k. Put w, x, 0.2 in increasing order.\nAnswer: w, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8910\/(-162) - (-9 - -3)\/(-6)*-18?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/36665 and -81\/293320.\nAnswer: 293320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 1. Let s(o) = o**3 + o**2 + 5*o - 1. Let g(m) = -m**3 - m**2 + 4*m + 2. Let r(l) = -g(l) + s(l). What is r(u) + 3*x(u)?\nAnswer: -u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26625222.\nAnswer: 2, 3, 13, 113783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 3*i**3 + 9*i**2\/2 + 3*i + 33. Let s(q) = 13*q**2 + 13*q + 4. Give 7*g(u) - 5*s(u).\nAnswer: -2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339 + -340. What is the units digit of (f - -7)*60\/9 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.188 - -10.512. Let h = s - 9. Let u = h - 1.6999928. What is u rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(2*u + u - 2*u)*(-6 - 104*u + 397*u + 7)*(2*u**2 + u**2 - 2*u**2)*(-5*u + 0*u + 4*u).\nAnswer: 293*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 321.16.\nAnswer: 321.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 371861 bigger than 371848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5 = -4*c + 46, 3*c - 3 - 33 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7893756 a multiple of 668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236862 - -928379. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqtqttwqqttqqtqq. Give prob of sequence qtq.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412080 is divided by 4011?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 3, n: 15}. What is prob of picking 2 t?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhhbhbhbkhqhbkhhb. Give prob of sequence bb.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - z = 4*z, 3*w = z. Suppose 189 = 5*j + m, -2*j + 5*j - 4*m - 118 = w. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0.4 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75106 and 1419776.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -12286, -2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 3*o**2 - 3*o. Calculate u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-207)\/138)\/(3\/(-7174)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24)\/18 - 679\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-413)\/590*540\/(-1008).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-15)*(-2640)\/528\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 5*o**4 + 3*o**4 - 2*o**4 + 4*o**4 - 4*o**4 + (o**2 - 1 + 1)*(0*o**2 + 4*o**2 - 2*o**2) + 3*o**4 + 0*o**2 + 0*o**2 - 3*o**4 - o**2 + o**2.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*q - 29 + 9 - 510162681*q**2 + 510162662*q**2)*(2 + 4 - 5)*(q**2 + 2*q - 2*q) in the form v*q**4 + o*q**2 + g*q + j*q**3 + k and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -3*s**2\/2 - 7*s + 2403. Let q(v) = -v + 1. Calculate -4*q(t) - x(t).\nAnswer: 7*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123332443 - 10?\nAnswer: 123332433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*z - 19*z - 25470 = 33822 for z.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/70)\/(-1)*8)\/((-9)\/(-63))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 126*i**2 + 70*i**2 + 66*i**2 to s + g*i**2 + z*i and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.11 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**7\/840 + b**6\/24 - 2*b**5\/5 + 2*b**4 + 2*b + 22. Let a(s) be the third derivative of d(s). Factor a(z).\nAnswer: -3*(z - 8)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -34*v**2 + 148*v - 30. Suppose -14*h + 4 = 88. Let p(d) = -11*d**2 + 49*d - 10. Let c(m) = h*f(m) + 21*p(m). Determine i so that c(i) = 0.\nAnswer: 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3104892, 6209801, 9314710?\n\"Answer: 3104909*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 1. Suppose -4*y = -0*y. Suppose 2*x + y*x - 2 = 0. Let z be n(x). Solve z = -4*c - 0*c + 2*q + 20, 0 = -5*c + 3*q + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -883962609 + 0.5.\nAnswer: -883962608.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 74324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 24*c + 19*c - 10 = 0, 0 = -10*x - 4*c + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -88. Let i be 464 - 1*p\/2. Suppose 0 = 7*m - 2231 + i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156)*1*-2 - sqrt(2156)*1*2)\/((sqrt(144)\/(sqrt(12)\/sqrt(4)))\/(sqrt(12) + (sqrt(192) - sqrt(48) - sqrt(12)))).\nAnswer: -56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106246*h**3 + 38 - 34 - 4.\nAnswer: -106246*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 - 6*w - 6. Let a be n(-4). Let u(t) = -4*t + 0*t + a*t. Let s(o) = -2*o**2. Give s(u(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36561364429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00619199 to 5 decimal places.\nAnswer: 0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*v = -3, 2*v - 2 - 3 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0349 + 1\nAnswer: 1.0349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oigmmmoguuomdiu. Give prob of sequence mg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - -220. Let t = -264.8 + b. What is the closest to 2\/5 in 8, 0.7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 14}. What is prob of picking 2 i?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/5 + (-97)\/(-5). Let u = -17 + a. Suppose 0*x = u*x - 78. Solve 4*d - d - 4*h = -7, 4*d = -3*h - x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10868 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: Suppose 0 = 7*l - 5*l + j, 0 = 2*j + 8. Suppose 4*y = -2*o + 42, 3*y - 26 = o - l*o. Let p = 152 + -64. What is the highest common factor of p and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*3\/(-3) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18407 + o**3 + 55220 - 18407 - 18406.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2691 and 107\/4991805.\nAnswer: 4991805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**5 + 2*i**4 + 2*i**2 + 13*i - 2. Let j(v) = -v**5 - v**4 - v**2 + 1. Let c(z) = -4*j(z) - 2*u(z). What is the second derivative of c(f) wrt f?\nAnswer: 280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4126 is divided by 536?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -5*c**8\/336 - c**5\/3 - 22*c**2. Find the third derivative of v(y) wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3 + 3 + 2*q**2 + 2*q**2 + 6*q - 3. Let h(l) = l**2 + l. Let y(r) = -3*h(r) + p(r). Suppose -x - 1 - 3 = 0. What is y(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -39, -55, -69?\n\"Answer: o**2 - 21*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**7\/140 + w**6\/360 - w**5\/120 + w**4\/24 - 8*w**3\/3 + 14*w. Let o(u) be the second derivative of c(u). Calculate o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*w**3 - 10\/7*w**2 - 16\/7*w - 8\/7.\nAnswer: -2*(w + 1)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2152472 divided by -238.\nAnswer: 9044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31010 divided by -6202\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*v**5\/5 - 126*v**4 + 190*v**3 - 138*v**2 + 48*v - 32\/5.\nAnswer: 2*(v - 1)**3*(9*v - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 100808*f - 8891971256.\nAnswer: -2*(f + 176414)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1456 or 3673?\nAnswer: 3673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44701 + -79001. What is y rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 56. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -3.198 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i + 3. Suppose q - 2*g = -14, -4*q - g - 12 = 2*g. Let h be 9\/2*4\/q. What is p(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from {c: 12, q: 6}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/(-42))\/((2 + -4)\/(-48)). Suppose c*i + 1916 = 16*i. Suppose 23 + i = 2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(15\/2))**(-2\/139) assuming u is positive.\nAnswer: u**(-15\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3260584957 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/15 - 1\/1. Let o = 1 - 0. Let k(i) = -3*i**2 + 2*i - 1. Let u be k(o). What is the third smallest value in u, -2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1108.5 + -1107.8865. What is g rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u - 1. Suppose -6 = -3*r - 3*y, -2*r + 7*r = -4*y + 11. Suppose -2*j - s = 2*s - 7, -r*j + 10 = 5*s. What is the units digit of o(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2698034 or -2\/117?\nAnswer: 2698034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*k**2 + 76*k**2 + 53*k**2)*(3 + 2 - 6).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 30 = -d. Let t be (-2)\/(-3 + 0 + 15\/6). Calculate the greatest common divisor of t and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/3 + (-229 - -214).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 37*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 1\/6*h**3 + 2*h + 2 - 1\/2*h**2. Let f(w) be the first derivative of b(w). Differentiate f(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x + 99. Determine u(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l**3 + 2*l**2 + 35*l - 113. What is i(3)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = -15. Let b be 1*4*r\/(-110). Let t = -0.2 + -0.8. Put t, 3, b in decreasing order.\nAnswer: 3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*a - 14, 3 = i - 3*a + 5. Find the first derivative of 3 + 8*k - 6 - i*k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 - -251. Is 11 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 6)*(0 - 4 + 2)*(120 - 8*o**3 - 120).\nAnswer: -96*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 6 + i - 24 + 9 - 96.\nAnswer: i - 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1700) - (4 + sqrt(1700))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 391*t = -8196, 2*o + 27 + 3 = -0*o - 2*t - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from {t: 1, y: 1, j: 3, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-8)\/5*450\/(-180). Solve q = 3*o - 4*y - 7, 12*o = 10*o + 4*y + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**4\/3 - 5*z**2\/2 - 45*z. Let l be f(2). Is 14 a factor of 375\/4 - -2*l\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -17*q**3\/6 + q**2\/2 + q. Let k be ((-3)\/(-6))\/((-42)\/12 + 3). Determine n(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -2. Let a = 0.24 - 0.07. Let g = a - 0.07. Put g, p, -1\/5 in decreasing order.\nAnswer: g, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/19, 0.2, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*r - 0*r. Let m be (r\/(-14))\/((-2)\/(-7)). Suppose -21 = -m*o + o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 819*k**2 + 438*k**3 + 819*k**2 + 305*k**3 - k - 750*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1401 + -1390. Let j = 1.4 - 7.4. Which is the third biggest value? (a) r (b) -0.2 (c) j (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 29 = l, j - 14 = l - 7. Solve 2*c - j = -0*c, 5*c - 11 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 860*o**3 - 31440 + o**2 - o**4 + 31441 as h*o**3 + r + f*o**2 + q*o + c*o**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((168\/(-20))\/(-21))\/(2\/20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.1, -0.3, -8, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/7 - 16*m**3\/7 + 2*m**2 = 0 for m.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 m, and 1 q when four letters picked without replacement from {q: 1, f: 1, j: 2, m: 2, p: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170\/3 - -56. Is n equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18903936*m**5 - 4*m**4 - 364783086*m**2?\nAnswer: -1134236160*m**2 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20070 - -54a?\nAnswer: -1a621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.36 - -3.16. Let q = r + 8.1. Round q to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*n**2 + 356\/5 + 354\/5*n.\nAnswer: -2*(n - 178)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768.0467 weeks to days.\nAnswer: 5376.3269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**0*p)\/p)\/p)**(-49)*(p*p**0*p*p*p)**(-2\/3)*((p\/(((p**5\/p)\/p)\/p))\/(p**(-3\/2)*p*p))\/((p*p**(-1)*p*p)\/p**(-2)) assuming p is positive.\nAnswer: p**(245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*a - 1288, 0 = -p + 3*p - 4*a - 624. Suppose -2*b + 4*b = p. Let j be 10\/4*b*250. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028536 less than -14010?\nAnswer: -14009.971464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 + 16 + 32*s + 23 + 25 = 0. Calculate s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 15*c - 5. Give g(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, v: 2, z: 2, d: 1, m: 1, b: 2}. What is prob of sequence bmcd?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 53, -1\/4, -1.\nAnswer: -1, -0.7, -1\/4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -7. Suppose 0*c - 8 = -j*c. Suppose 25 = 4*z + 2*p - 5, 18 = c*z + 4*p. What is the least common multiple of z and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:32 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 33. Let r be f(-29). Suppose -2*p - 4*z + 132 = 0, -r*p + 375 = p - 5*z. Does 24 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306375?\nAnswer: 5, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:39 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/120*-1)\/(35\/(-70))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35383 = -5*y + l, -2*y - 2*l + 28312 = 2*y. Suppose 7*i = 4*i + y. Let b = 18849\/8 - i. Find the common denominator of 137\/48 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99744793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -629*o**3 - 9*o**2 - 16*o + 2498.\nAnswer: -3774*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8476783167?\nAnswer: 3, 24329, 116141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-36)\/((-1)\/(180\/(-5)) + 4\/(-16)) is divided by 126.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a**3 + 325*a**2 + 71*a. Determine j(15).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*z - 38, 340*z - 341*z - 3*l = 5 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4 (c) -2 (d) 0.3 (e) -40\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 4*c + 24, -5*p + 2171*c - 2169*c = -27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppprr. Give prob of picking 1 r and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2962 (base 14) to base 6.\nAnswer: -53550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1388, -2774, -4166, -5570, -6992, -8438, -9914, -11426?\n\"Answer: -a**3 + 3*a**2 - 1388*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*c**2*f**3*i**2 - 2*c**2*f*i**3 - 7*c*f**2*i**2 + 11*c*i**3*l + 5*f**3*i**3*l - 2*f*i**3*l wrt f.\nAnswer: -72*c**2*i**2 + 30*i**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 6*n**2 + 3. Suppose t = 3*s + 15, 5*s + 0*t + 25 = -t. Is 14 a factor of l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3588 - 2277 = -5*g. Let p be 1 - (-1)\/(-4) - g\/(-68). Solve t + 17 = f - 3*t, -5*t = 2*f + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-12) + (-81)\/(-4). Suppose -4*n + v = -i, -n + 2*n + 2*i = -6. Solve -c - n*c + 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 - 20*u**3\/3 + 11*u**2 - 54*u + 58. Let m be h(19). Solve 0 = 5*z - 0*z - m*w + 35, 0 = -w + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/5 + 2*s**4\/5 + 52*s**3\/5 + 2*s**2 - 723*s\/5 - 252 = 0. What is s?\nAnswer: -4, -3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/6 + 2*a**2 + a. Let m(u) = 2*u + 6*u + u**2 + 1 - 8*u. Let l(g) = -12*m(g) + 3*p(g). What is l(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.052*-706\nAnswer: -36.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9920749 greater than -9920744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 280*j**2 + 2*j. Let x(y) = -38991*y**2. Calculate z(x(d)).\nAnswer: 425683462680*d**4 - 77982*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 3*f**2 + 2*f + 7. Suppose -4*q - 1 = 11, 7 = b - q. Suppose -b*r + 2 = -5*c, -2*r - c + 1 = -7. Does 2 divide i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1496)\/23562*((-18)\/(-4))\/(-3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7789, -31147, -70079, -124585, -194665, -280319?\n\"Answer: -7787*r**2 + 3*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*x + 31 = 7*f, -f + 19 = x. Calculate the least common multiple of f and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21482239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 3*f + 13*f)*(-4 + 0 + 1) in the form j*f + x and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b. Let x(p) be the first derivative of 13*p**6\/360 + 13*p**3\/3 - 40. Let y(c) be the third derivative of x(c). Determine d(y(z)).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95293.38ml in litres?\nAnswer: 95.29338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22110 (base 3) to base 6\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -16. Suppose -s*c + 340 = -1559. Suppose 0*k + 2*k = -3*l + c, 0 = 4*l - 5*k - 844. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -13. Suppose 0 = a + 8*a + f. Let b(s) = -2*s**2 + 3. Let g(i) = i**2 - 2. Calculate a*b(j) - 3*g(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 - v + 7. Suppose 16 = 3*b - 2*w + 3*w, 4*b + w = 21. Let g be q(b). Suppose -g + 11 = 3*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10 = -0*d. Let h be 120\/64 - (-1)\/8. Let c be 5*(h + 7\/d). Solve -4*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 36 = 0. Calculate the remainder when s\/(-10)*(-45)\/2 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.7 - 14.7. What is the third smallest value in 1, 1\/4, -5, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29551 is divided by 29532.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 12 - 36 + 5 + 13 - 22*x to the form j*x + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4496, 10144, 15792, 21440, 27088?\nAnswer: 32736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 474, -1 in descending order.\nAnswer: 474, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = -4*t, 4*t - 22 = -3*l - 44. Sort -2, 0, 7, 4, t in decreasing order.\nAnswer: 7, 4, 0, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {i: 1, g: 1, k: 3, r: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/13 - 162*i**3\/13 - 3448*i**2\/13 + 11448*i\/13 - 7840\/13 = 0.\nAnswer: -20, 1, 2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3200, -2 in increasing order.\nAnswer: -3200, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11702, 0, 4.\nAnswer: -11702, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.4, -18\/41, -1\/7, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.75209904 - 0.6861. Let u = l + -0.066. What is u rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - 0.01. Let n = r + 2.06. Let o be 6\/27 - (-38)\/(-36). Which is the closest to 2? (a) -0.5 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064275?\nAnswer: 5, 42571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w - 19 + 6*w + 9 + 9. Let i(y) = -9*y + 6. Suppose -x - 4 + 5 = 0. Give x*i(z) + 6*s(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2)*-1)\/(12\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -637, -1271, -1905, -2539, -3173, -3807?\n\"Answer: -634*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 261*i**2 + 8. Give s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2645 + 4454. What are the prime factors of t?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 10. Let l be b(-3). Suppose 0 = 4*i - l - 6. Let j(x) = -4*x**i - 6 + 1 + 2*x**2 + x**3 - 4*x + 3. Give j(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3 + 18. Suppose -5*y + 175 = -0. Let n = i + y. What is the highest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 52*b**2 + 1 - 7*b + 14*b - 7*b to r*b + o*b**2 + h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88823672*d**5 - 330476899*d**2 wrt d?\nAnswer: 5329420320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/47?\nAnswer: -8\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887601555?\nAnswer: 3, 5, 19724479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176) - -2*sqrt(1584))\/((sqrt(320)\/(sqrt(32) + sqrt(8)))\/(sqrt(90) - -2*sqrt(90) - sqrt(90))).\nAnswer: 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 76*z**2 + 1247*z + 3720. Give k(49).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v**5\/5 - 47*v**4\/5 - 84*v**3\/5 - 28*v**2\/5 + 16*v\/5 = 0. Calculate v.\nAnswer: -4, -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11001111001011111001110 (base 2) to base 6\nAnswer: -401302514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2*x**4 + 215482*o**2*x**3 + 1064*o**2 - 4070*o*x**2 + x**3 + 2 wrt x?\nAnswer: -72*o**2*x + 1292892*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 3*b - 159 = -12*j - 188, -3*b = -15 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from quuuqquuuuuoqu?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14388 and 38768?\nAnswer: 139448496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 60*y**2 + 5. Let l(a) = -30*a**2 - 3. Suppose -155*o = -182*o - 81. Calculate o*v(u) - 5*l(u).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 7*u**2\/2 - u - 2. Let r(m) = -3*m - 9. Let c be r(-6). Let y = 3898 + -3902. Let t(s) = 15*s - 2. Give c*h(j) + y*t(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**2 + 0*z + 0 - 2\/3*z**3 - 5\/24*z**4. Is n(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -274*a - 1377. Calculate f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12142068 divided by 348.\nAnswer: -34891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255 - 135. What is the highest common divisor of d and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 173\/((-5)\/30*-87).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2298.9239 and 0.1.\nAnswer: 229.89239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37402\/8*68\/17 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b**9*b assuming b is positive.\nAnswer: b**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9376.235 kilograms in micrograms?\nAnswer: 9376235000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1702494, 1702490, 1702486, 1702482, 1702478?\nAnswer: 1702474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**5 - 6*h - 7\/30*h**6 + 0*h**2 + 0 + 0*h**3 + 7\/12*h**4. Find the third derivative of q(j) wrt j.\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-462)\/(-18))*((-70)\/(-15))\/7.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p + 271 + 20*p - 56*p + 19*p - 74 as u + x*p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2. Let l(u) = -2*u**2 - 5 + 5 + 3*u**2. Give l(w(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/5, -1\/4, -265.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*n + 235, 0 = n - 3*z - 1039 + 1000. Solve -5*l = -3*k - 25, -2*k - 6 = n*l - 43*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 67*u - 1. What is v(1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167, 135, 103?\n\"Answer: -32*q + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -41*g - 365. Let w be j(-9). Suppose w*v = -3*t + 24, -4*t + 21 = -3*v + 14. Solve -8*z = -9*z - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/7, -0.1 in ascending order.\nAnswer: -5, -0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.076952 - -76.135952. Let q = p + -76. Let m = -0.065 + q. What is m rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 - 104. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451548 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 2, h: 3}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b64 (base 12) in base 16?\nAnswer: 5e3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19350*-0.05.\nAnswer: -967.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 less than -312534286904?\nAnswer: -312534286888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 1083*t**2 + 334656*t + 21576348.\nAnswer: (t + 87)*(t + 498)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 101*r**3 + r**2 - 4*r + 3. Let n be a(2). Let t = n - 358. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxkf when four letters picked without replacement from {h: 1, k: 2, r: 2, x: 1, e: 3, f: 8}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 6*z**2 + 8*z - 7. Let r be a(5). Let w = 15 - r. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 100. Find the third derivative of -5*q**3 - a*q**2 + 8*q**2 + 2*q**5 + 5*q**3 wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70\/15 + -4)\/((-6)\/(-27)). Solve -6*t = -w*g - 2*t - 18, -3*g - 5*t + 9 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2241 is divided by 2171?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 55 + z**2 + 49.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 495890 and 495891 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -603 and 0.11?\nAnswer: -66.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.62319 months in decades?\nAnswer: 1.35519325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/30 - 5*h**4\/24 + h**3 + 94*h**2 + h. Determine p(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 3*f**2 - 136*f - 34. Calculate i(10).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -9915769 times -4\nAnswer: 39663076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 + -13)*(6 + -3 - 10772\/(-3)). Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 86690*v. Let i(h) = -h**2. Determine w(i(b)).\nAnswer: -b**4 - 86690*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*v - 1 + (-3*v + 2*v + 0*v)*(4 + 0 - 1) - 2*v - 2*v + 7*v + (3*v + 0*v + 2*v)*(3 - 3 - 1) + 1 + v - 1 to l*v + o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(125))**2 + sqrt(5).\nAnswer: sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i = 158*i + 22 + 453. Put -4, 2, -1, -10, i in descending order.\nAnswer: 2, -1, -4, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -13, -40, 3, -7.\nAnswer: -40, -13, -7, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5550 by 5.\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 13 - 27)*(3*d**4 + 0*d**4 - 5*d**4).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrrrm. What is prob of picking 2 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/130 and 89\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*d**2 - 133*d**3 + 16*d**2 - 33*d**2 + 72*d**2 wrt d.\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289 minus -4?\nAnswer: -2285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3992657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5155.5444986 + 5150.0445. Let b = f + 5.5. What is b rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r - 4, 0 = -m - 4*r - 32. Let o be -1 - (m\/(-18))\/(-2). Let t = -0.34 + -0.06. Which is the second smallest value? (a) o (b) t (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37126 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 1)\/((-16)\/(-56) + 640\/700). Let a(u) be the first derivative of -x*u**2 - 6 + 0*u. Let l(v) = -10*v. Determine a(l(m)).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*q*t**2 + 18*a*q*t - a*t + 78*q*t**2 - 3*q + 2*t**2 wrt t.\nAnswer: 4*a*q + 156*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(1806\/4))\/((-3)\/(-21)*(-116)\/(-29))?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 654917?\nAnswer: 65491a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 12:12 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:12 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 115 * 1540\nAnswer: 177100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 16508954696\nAnswer: -16508954696.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*i = -4*i + 6, i - 24 = -4*y. Suppose -2*k = -5*n - 555, y*k + 2*n + 532 = 1847. Let x = -110 + k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 3*y**2 + 0*y**2 - 538*y**3.\nAnswer: -538*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-200)*(-7)\/1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7043661*y**3*z - 3160305*y**3 + y**2*z wrt z.\nAnswer: -7043661*y**3 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 24 + (33 - 16)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.066 - 0.934. Let z = 647\/1477 + -2\/211. What is the closest to j in 3, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -3 (c) 1\/7 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47492.\nAnswer: 2, 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6*k - 8. Suppose 0 = -5*n + 3*t + 11 + 3, 3*t + 6 = 3*n. Let q be 34\/(-6) - (-2)\/(-6). Sort k, q, n.\nAnswer: q, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 6*sqrt(77)*2)\/(sqrt(11) + sqrt(55)\/(sqrt(10)\/sqrt(2))).\nAnswer: 13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 113?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 14*w**2 - 12*w + 17. Let d be z(-13). Let g be (d + -3)*(3 - -24). Is g\/36 + 565\/4 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 2224 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 11*w + 21. Calculate the remainder when 50 is divided by b(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 23*v = -481 - 652 + 271, -5*k + 4*v + 172 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 46, -73, -5 in ascending order.\nAnswer: -73, -5, -4, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274789 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.4, -4, -1\/12, 34, 262, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooooqooqoooo?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-480)*8*-48*1. Let m(s) = -u + 3*s - 10*s + 36. Let o(q) = -30*q**2. What is o(m(b))?\nAnswer: -1470*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22423914 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t + 264. Suppose 1056 + 379 = 55*o - 655. Calculate the remainder when t is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*k**2 + 20*k**2 - 72*k**2 + (2 + 2*k - 2)*(-k + k + 3*k) as x + g*k**2 + i*k and give g.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/38, 121\/39, -1\/9, 18 in descending order.\nAnswer: 18, 121\/39, 1\/38, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 - 3*y**2 - 1)*(y - 5*y + 0*y) + (1 + 2 - 2)*(y**3 + 0*y**3 + 575 - 887).\nAnswer: 13*y**3 + 4*y - 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -17. Differentiate 6*x**2 - 3 + p*x**3 + 9 - 6*x**2 with respect to x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 - 2*o + 2. Let k(y) = -3*y**3 - 5*y**2 - 6*y + 6. Calculate 11*h(z) - 4*k(z).\nAnswer: z**3 - 2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 172*d + 172*d - 344*d + 2*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 5*s**3\/6 + 5054*s. Let u(x) = -36*x**2. Let p(k) = -73*k**2. Let t(z) = -4*p(z) + 9*u(z). Determine i(t(b)).\nAnswer: -160*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/20697 or -1?\nAnswer: 4\/20697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2010 (base 5) to base 4\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -139916.\nAnswer: -11\/34979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*l + 9, 0*p - 11 = p + 3*l. Let v(i) = -3*i + 3*i**2 + i**3 + 6*i + 3*i**2 - i**2 + p. Let w(h) = 2*h + 4. Let z be w(-4). Calculate v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21430010 (base 5) to base 3.\nAnswer: 100110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1005024 - -7035204\/7. Factor d*w + 27\/7*w**3 + 5\/7*w**4 + 8\/7 + 50\/7*w**2.\nAnswer: (w + 1)*(w + 2)**2*(5*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 23 + 17. Put 16, g, 4, -5 in ascending order.\nAnswer: -5, g, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 131*t - 1581. What is c(-118)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 91?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -114230442332?\nAnswer: -114230442324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10*w + 13 = 3*u, 12 = -4*w + 4*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 5088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 99562.9cm?\nAnswer: 995629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 + 21 - 21)*(-2*m - 3*m + 4*m) + 8*m - 18*m**4 - 8*m.\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*b**5*r + 2252*b**3*r + 33*b*r - 550*r wrt b?\nAnswer: 540*b**3*r + 13512*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8994 - 8991. Solve -3*m + 17 - 2 = -2*j, 0 = -q*j + 3*m - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = 3*m, 24*o - 22*o + 5*m = -14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 0*q)*(-728 + 2124 + 2079).\nAnswer: -6950*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -45*f**2 - 2*f - 4. Let d(s) = 89*s**2 + 4*s + 9. Let h(o) = o**2 - 6*o - 2. Let k be h(6). Let i(j) = k*d(j) - 5*v(j). Is i(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -342*a**3 - 6*a**2 + 8*a - 2. Let x be z(-5). Let g = x + -91558. Round g to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2926?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -630 + 634. Which is smaller: 8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -32651.04534.\nAnswer: -32645.04534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - r + 1, -102*g + 98*g + 4*r = 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171030630*k**2 - 1076*k - 56463 wrt k.\nAnswer: -342061260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/33)\/(-5) - (-14136)\/12276?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 468*n = 473*n + 5, -1 = 5*j + n. Solve j = 2*f - 4*k, 16*k - 26 = 4*f + 21*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1488914084 to the nearest one million.\nAnswer: 1489000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1738 or -2560?\nAnswer: -1738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 3*g + 139 = 0, -5 = g. Let f(l) = l**3 + l**2 + 8. What is the remainder when d is divided by f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02407 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5654, 12231, 18808, 25385, 31962, 38539?\n\"Answer: 6577*i - 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 35*j**2 + 1. Let x(u) = -49*u. Give x(q(i)).\nAnswer: -1715*i**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, q: 8}. What is prob of sequence jqj?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 + (-3 - -4) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4701810653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1561, -3, 10, -1, 3, 1 in descending order.\nAnswer: 1561, 10, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*c - 7 + 7*c + 7 to f + g*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4882*t - 21 = -4886*t, -4*h + t = -101 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 31302*y + 31296. What is i(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d**2 + 4*d - 4. Let z be y(1). Calculate the highest common divisor of 36 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -122, -516, -1182, -2120, -3330, -4812?\n\"Answer: -136*y**2 + 14*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 1, g: 5, z: 4, x: 1}. What is prob of picking 1 z and 1 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/12 + 11*d**3\/6 + 5*d**2\/2 + 20*d. Let b be z(11). Solve n = b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600985 and 22855?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1281 + 11666166*x**2 - 11666001*x**2 + x + 2232 wrt x?\nAnswer: 330*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027631 to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 285, 1060, 2571, 5064, 8785, 13980, 20895?\n\"Answer: 41*b**3 - b**2 + b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 - j + 18. Let y(a) = 3*a**2 + 2*a - 17. Let r(u) = -3*v(u) - 2*y(u). Does 4 divide r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -4538.15 (c) -0.4 (d) -0.06 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-10 - (1 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3069 less than 26936513?\nAnswer: 26939582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/120)\/((-1)\/82). Let s = -455\/132 - g. Let l = 10\/33 - s. Which is the second smallest value? (a) 2\/5 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*s + 6208 - 1356, 4*i = 3*s + 3881. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -4*d**7\/147 - 2*d**6\/105 + 2*d**5\/35 + d**4\/21 + 3*d. What is c in o(c) = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10298, -20546, -30794, -41042, -51290, -61538?\nAnswer: -71786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (384\/(-29184))\/(6\/(-57))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0 - -282 - 3) + -3. Let f = k - 100. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2046 by -3.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k + 25 = 33*k + 5*t, 21 = 5*k + 4*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475*i = -474*i. Which is the nearest to i? (a) -8 (b) 0.2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 64*t - 2. Let k be x(-1). Let i(s) = -24*s. Let f be i(4). Let q = k - f. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.9 + 67. Let s = -4.1 + f. Which is the closest to 2\/3? (a) 2\/3 (b) -4\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*w = 80*w - 2*c + 15196, -5*w + 4*c + 15208 = 0. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8599288 to the nearest integer?\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*u - 114*g**2 - 1063*g*u - g wrt u.\nAnswer: -2*g**2 - 1063*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10083859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j. Let k(x) = x - 1. Suppose -3*b = -8*b + 110. Suppose -7*c = b - 85. Let t(i) = 6*i - 9. Let a(y) = c*k(y) - t(y). What is a(q(f))?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -37*b**3 + 31*b**2 + 2796*b. Let a(c) = -24*c**3 + 22*c**2 + 1864*c. Let t(s) = -8*a(s) + 5*r(s). Find the second derivative of t(i) wrt i.\nAnswer: 42*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 46, 63, 82, 103, 126?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781502178 to the power of 1\/2, to the nearest integer?\nAnswer: 42208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 25) + 5 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*p - 1. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128921 is divided by 76.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4598? (a) 1 (b) -0.5 (c) 2\/9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-8 - -15) - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*g**4 - 4*g**4 + 14*g**4 + 35 + 19*g - 20*g wrt g?\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16124562.943 to the nearest 100.\nAnswer: -16124600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25155, 25245, 25335, 25425, 25515, 25605?\nAnswer: 25695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5 - 5) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 6. Let x(z) = -z**2 + 3*z. Let h be x(2). Suppose h*n + 0*n + 5*g - 141 = 0, 69 = n + 2*g. Calculate the greatest common divisor of b and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182 + 5083. Suppose 0*g + 1320 = i + 5*g, 4*i = -5*g + w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -211, -677, -1453, -2539?\n\"Answer: -155*h**2 - h - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and 62605.\nAnswer: 225378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (384*f - 721*f - 378*f)*(-13*f**2 + 3*f**2 - 8*f**2).\nAnswer: 12870*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35861?\nAnswer: 7, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+255876\nAnswer: 255875.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11 = 159. Suppose -5 = -g - 1. Suppose 7*v - 30 = g*v. What is the remainder when z is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34826500*n**2 - 72*n**3 + 34826500*n**2 + 16*n**3.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Suppose -13*c + 28 = -6*c. Calculate the highest common divisor of v and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2905 = q + 230*r - 227*r, 0 = q + 5*r - 2915. What is the remainder when q is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 + -2 + 5 + 1. Let z = -52 - -55. Suppose 3*h + z = -2*p, 5*p + 5*h + 3 = p. Is d equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -40, -62, -88, -118?\n\"Answer: -2*j**2 - 12*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6490 and 5\/143?\nAnswer: 84370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -94*l**2. Let q(o) = 766*o**2 - 1. Determine q(s(k)).\nAnswer: 6768376*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -130 and 0.033.\nAnswer: -129.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63909 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552658 is divided by 316.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*h + 2 = -6, -5*h + 20 = 0. Let j = 5 + s. Suppose 5*g - 38 = -j*q, 3*q - 4*q + 4*g = -24. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 2673076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25290643163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 + 2 + 6 - 10. Calculate c(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 (base 13) in base 4?\nAnswer: -30102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/8 - q**3\/6 + 3*q**2. Let n be p(4). Let z be (-1)\/n*(2 - 0). What is the nearest to -1\/3 in 2\/5, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/12)*j**5)**33\/(((j*j*j**6)\/(j*j\/(j\/(j*j*j**6*j))))\/((j\/(j*j*j**(2\/3)))\/(((j**(-2\/5)\/j)\/j*j)\/j*j))) assuming j is positive.\nAnswer: j**(10169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11541080 greater than or equal to -11541070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 0*z + 11\/2*z**2 - 26 + 10\/3*z**3. What is the second derivative of l(n) wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from araxaraaaanx. What is prob of picking 2 r, 1 x, and 1 n?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/7 + 12*o**4\/7 - 80*o**3\/7.\nAnswer: 2*o**3*(o - 4)*(o + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - (-5 + -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541502, -1083003, -1624504, -2166005, -2707506, -3249007?\nAnswer: -3790508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**2*x**3 + 2*i**2*x**2 - i**2 - 24*i*x**5 + 229*x wrt x.\nAnswer: 24*i**2 - 1440*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 415?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 525 and 134761725.\nAnswer: 134761725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, 798, 2622, 5284?\nAnswer: 8784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**0)**(1\/2) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 307471.95ns?\nAnswer: 0.000000003558703125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/5 - 12567*u**2 + 251319*u\/5 + 62831 = 0 for u.\nAnswer: -1, 5, 62831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326575 and 585875550?\nAnswer: 585875550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 327, 216, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -44?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746103 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: Evaluate -3*36\/210*920\/(-2208).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 5*z + 3. Suppose -2 - 1 = r. Let d be p(r). Suppose v = -0*v + d. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus -468?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 28. List the prime factors of 2\/v - (-5565)\/60.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -1 - (34 + -100 - 11).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5473 + -21889\/4. Which is the second biggest value? (a) -1.9 (b) g (c) -4\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1024 or 1?\nAnswer: 3\/1024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = 22. Let j = 198 - 171. Suppose 4*r - 45 = j. What is the smallest common multiple of u and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0\/(-4)) + 18. Let h be (w + 1)*-1*(-1)\/3. Find the first derivative of 1 - 693*k + 693*k + 9 - h*k**3 wrt k.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 141\/21292 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 2*x - 5*l, -2*x + 3*l = -6*x - 187. Let j = -31 - x. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20*i**2. Let f = -77 - -102. Let p(j) = -j**2. Give f*p(d) + c(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1324446314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*g - 74513, -f + 3*f + 74501 = 3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooom when four letters picked without replacement from mooommmmmmmuooopmo.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539)*4 + sqrt(1539))*-1 + (1 + 2 + sqrt(1539))**2 + 2*(sqrt(1539) - 2*sqrt(1539)).\nAnswer: -9*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/7 + 10*k**4\/7 - 29*k**3\/7 + 32*k**2\/7 - 12*k\/7 = 0. What is k?\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**3\/5 + 5892*z**2\/5 - 228873*z\/5 - 258258 = 0.\nAnswer: -2002, -5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.34 + 1.299. Let h = -0.739 + q. What is h rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5510 + -5503. Solve 4*m - 12 = 4*d, -m + 3 = 3*d - a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 8*t**2 + 7*t - 3. Suppose 5*g - 62 = -47. Let v be u(g). Factor v - 7\/6*q**2 + q**3 + 1\/3*q.\nAnswer: q*(2*q - 1)*(3*q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2057) + 2 + (sqrt(2057) + -1)*-5)*-6)**2 + (sqrt(1088) - -4*(sqrt(1088) + -1)**2) + -2 + (sqrt(1088) - -2*sqrt(1088)) + -2.\nAnswer: -38840*sqrt(17) + 3634664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.04, -1, 0.116 in decreasing order.\nAnswer: 0.116, 0.04, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/28 - 1*(-1731)\/21. Suppose -c = 8*w - 298. Suppose y + 5*g - w = 12, 5*g - 25 = 0. Calculate the highest common divisor of 28 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1356 and 533234796.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -105, -106?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -961.999999327 + 962. What is d rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 divided by 6?\nAnswer: -457\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {d: 4, u: 1, v: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4 + 57612*n**3 - 403120*n**2 + 460608*n + 921344 = 0.\nAnswer: -1, 4, 14396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12411201, -12411097, -12410993, -12410889, -12410785, -12410681?\nAnswer: -12410577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:08 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169*w**6 - 44*w**2 - 1 wrt w?\nAnswer: 20280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*(t\/t**0)\/t)))*t\/(t**(1\/2)*t))**43 assuming t is positive.\nAnswer: t**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1352 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4319 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-85) - (-12 - (-412)\/34). Which is the nearest to -0.16? (a) 0.1 (b) -2 (c) n (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -8*r + 43 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = j, 26*p + 46*j = 22*p - 26 - 58 + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*s - 20, 5*w - 2*s = -4*s + 29. Calculate the highest common divisor of 55 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.16 to 0 decimal places.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 46*i**2 + 198*i - 92. What is h(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22041\/47500 + 11\/2500. Find the common denominator of 17\/190 and r.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 3*w)*(2*w + 44*w - 3*w).\nAnswer: -86*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/69*-1)\/(3\/2)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - s + 5. Let t be ((-14)\/(-14))\/((-3)\/(-39)). Let h(d) = -5*d**2 + t*d**2 - 14*d + 16*d - 12. What is -5*h(i) - 12*v(i)?\nAnswer: -4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/69 (b) -28 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -2277*q**6\/40 + q**5\/15 - q**4\/12 - q**3\/2 - 52*q**2 - 16*q - 4. Find the third derivative of z(h) wrt h.\nAnswer: -40986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 2*a**3 - 3*a**3 + (-2*a - 4*a + 4*a)*(-6*a**2 + 3*a**2 + 4*a**2) - 67*a**3 - 206 + 206)*(4*a**2 + 0*a**2 - 3*a**2).\nAnswer: -68*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-50) + (1 - 2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9262078980.\nAnswer: 2, 3, 5, 7, 11, 286397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001110 (base 2) to base 7.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -71. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-1*(-1)\/5). Let q(z) = 18*z - 245. Let f be q(15). Let s be f*(45\/c - 1). Is -1 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 29*c - 1941. Give s(57).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -1\/5, 1\/4, 62.785, 0, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4650, -9309, -13974, -18645?\nAnswer: -23322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.453 * 3.4\nAnswer: -1.5402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 100\/10*((-2 - -4) + -1). What is the greatest common factor of 160 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhahahihuahh. Give prob of picking 2 a and 1 i.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -2, -4*r - 3*n + 36 = 0. Let p = -9 + r. Let q = -1.3 + 2.3. Which is the biggest value? (a) p (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v + 11*v + 95*v**2)*(3*v - 7*v - v).\nAnswer: -475*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, f: 2, e: 1}. Give prob of sequence le.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.8332553 and -5?\nAnswer: 29.1662765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-832)\/21 + (-20)\/(-70). Let j = v - -40. Factor j*f - 2\/3*f**3 - 2\/3*f**2 + 2\/3*f**4 + 0.\nAnswer: 2*f*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 43*h**3 - 2065*h**2 + 47*h + 41. Calculate o(48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7152 is divided by 520?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 6:19 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (462\/4)\/((216\/64)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 2. Let w be b(-4). Let v = w + 2. Let a = 3 - v. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 10*h + 8. Let o be 4*(h - (0 - 3)). Sort -1, 15, o in ascending order.\nAnswer: -1, o, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281541199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -174922 + 50\nAnswer: -174872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26598 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 56*g - 4*v + 70 = -10*g, 5*g + v = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411243372 to the power of 1\/4, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83*o**4 + 26*o**3 + 7*o - 25007 - 3*o - 50*o**3 + 11691 + 22*o**3 wrt o?\nAnswer: -332*o**3 - 6*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289566?\nAnswer: 2, 3, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*a - 5. Suppose -a*w + 8*w = 0. Let n = 725 + -722. Solve -n*p + 2*r - 12 = 0, -3 = -r - w*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 divided by 1?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245384291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**18\/j)\/(j\/((j**(-5\/6)\/j)\/j)))\/((j*j\/(j**(-1\/13)*j))\/(j**(-1\/43)*j)) assuming j is positive.\nAnswer: j**(43825\/3354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 34*b**2 + b - 25. Let c be j(-4). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 3:51 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r - 4*n = -45*r - 16*n + 24, 8 = -2*r + 8*n for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 3:40 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 0.1715.\nAnswer: 6.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by (3 - 0)\/(5 - (2 - 4965\/(-1660))).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 3, i: 1, o: 1, g: 2}. What is prob of sequence ngg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 877208 in decreasing order.\nAnswer: 877208, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(1 - (2 - 1)). Suppose v = -2*r + 1 + 23. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 10 + 6*o - 17 + 8. Let v be l(6). Is v*(-2)\/4*-222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/5, -4\/159605 in increasing order.\nAnswer: -0.3, -1\/5, -4\/159605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -43 + 31 + -11.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 9) in base 14?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 81. What is the least common multiple of 35 and c?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/3 + 77*o. Let y(r) = -r**2. Give y(c(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.1 (b) 1.46 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15*l + 2. Calculate j(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y + 3. Let f be j(0). Let d be (-14)\/4 - 1\/2. Let o(s) = 2*s**3 - 4*s**2 + 11*s - 17. Let v be o(2). Put d, v, f in decreasing order.\nAnswer: v, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let p(r) be the third derivative of -r**6\/360 + r**4\/24 + 3*r**2. Let v(k) be the second derivative of p(k). What is n(v(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -367*a**2 + 1174*a**2 - 3 - 1257*a**3 - 413*a**2 - 561*a**2 + 15 wrt a.\nAnswer: -7542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20061 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:19 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h - 5\/24*h**4 + 0 - 2*h**2 + 0*h**3. Let u(o) = -2*o**2. Give u(y(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1320 and 131\/4122140.\nAnswer: 24732840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 2*h + 14, y + 693*h = 711*h + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1068861, 2137803, 3206743, 4275681, 5344617?\nAnswer: 6413551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285152 and 5092.\nAnswer: 285152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v\/(v*v\/((v*v**(-2\/15)*v)\/v*v)*v*v*v))\/v))\/v*v*v**(-3\/4))\/(v\/((v*v**(2\/5))\/v))**(-21))**(-7) assuming v is positive.\nAnswer: v**(-6713\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -43. Suppose -3*u + 609 = -f - 2*f, 2*u + f - 394 = 0. Suppose -3*j - 4 = -u. Calculate the remainder when j is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171717*c*q**4 - 63*c*q + 5*c + 7*q**5 + 550*q - 2 wrt q?\nAnswer: 2060604*c*q**2 + 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bccc6 - -3?\nAnswer: -bccc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 - 110. Is (-3 + 7981)*30\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 230*y + 16 + 95 + 180*y - 3 wrt y?\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 + 214.9. Let t = u + -12.7. Sort t, 0, -0.06.\nAnswer: -0.06, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**20\/p)*p*p\/(p*p**(1\/16)))**(1\/16) assuming p is positive.\nAnswer: p**(-289\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -24. List the prime factors of (-3 - -77) + -4 + t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80944.\nAnswer: 2, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112.000000305 - -112. Round c to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 9*d - 19740. Let s = -2769 - d. What are the prime factors of s?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*731\/(-3655) + (-77)\/(-10)\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 5, k: 5}. Give prob of sequence kg.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - -2 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -18.4. What is the closest to 0.3 in n, 2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 40 + 13*s + 9 - 49 - 4*s.\nAnswer: 3*s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24017 or 24013?\nAnswer: 24013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:34 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/25 + 58*f**4\/25 - 106*f**3\/25 - 58*f**2\/25 + 108*f\/25 = 0. What is f?\nAnswer: -1, 0, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/460*40\/(-45). What is the nearest to a in -5, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7133767 to the power of 1\/2, to the nearest integer?\nAnswer: 2671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*p - 2 + 2 - 128*p + 61*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368687, -737374, -1106061, -1474748, -1843435, -2212122?\nAnswer: -2580809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1571 + 1571.5. Which is the closest to -0.1? (a) -0.02 (b) 7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1530731, -6123128, -13777131, -24492746, -38269979, -55108836, -75009323, -97971446?\nAnswer: -123995211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.01 + 0.01. What is the nearest to c in 3\/4, 3\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/15)\/(6\/(-4)). Let l = -0.1 - -1.1. Let m = l - 1.3. Which is the smallest value? (a) m (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/17 + 5442*v**3\/17 - 5444*v**2\/17.\nAnswer: 2*v**2*(v - 1)*(v + 2722)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3787 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 246494 or 246493?\nAnswer: 246494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2. Let r(g) be the first derivative of 0*g + 1\/2*g**2 - 3. Determine r(q(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (-23 - -29).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1302 (base 4) to base 15.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2. Suppose 0 - 3 = -3*b. Let j(k) = -b + k + 0 + 1. Determine j(m(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -22 - -18 - (-2 - 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 66 = -6*u. Let r be 11\/u - 1*-9. Let y = r + 4. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 39900.\nAnswer: 877800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -5 - (-154 + 145) - (-83 - -1).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2+15.7608605705\nAnswer: 17.7608605705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/((-5)\/(650\/15)). Let x(h) = 7*h**3 - 6*h**2 - 6*h + 6. Let p(j) = -15*j**3 + 13*j**2 + 13*j - 13. Give l*x(a) - 6*p(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1849, 7503, 16943, 30169, 47181, 67979?\n\"Answer: 1893*s**2 - 25*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4144)\/1184)\/(7\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 12. Let l be k(4). Let y = l - -60. Let j = -30 + y. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (282\/15)\/(((-672)\/280)\/6).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731 is divided by 419.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 60\/14)*93436\/13348?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.45 + 9.9. Which is the third biggest value? (a) p (b) -3 (c) -2\/15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107928 and 362758?\nAnswer: 2998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 36. Let f = -562 - -565. Let z(v) = 2*v + 50857 - 50857 + f*v. Give k(z(r)).\nAnswer: 5*r + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011001000 (base 2) in base 3?\nAnswer: 10002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (360\/(-630))\/((-264)\/(-770))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (7906\/(-59) - -70).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 12 (b) 2 (c) -44 (d) -0.28 (e) -0.01 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/21*70\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 7680*p + 370972. Give l(-48).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*i + 2*c - 24, 5*c = 4*i + 33. Let m = i - -9. 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 common denominator of 71\/3036 and 127\/1704.\nAnswer: 431112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 21*l**2 - 21*l + 145. Calculate p(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/70 - 17*k**6\/120 + k**4\/12 - 8*k**3\/3 + 106*k**2. Find the second derivative of z(n) wrt n.\nAnswer: 36*n**2 - 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 + 15*z**2 + 5*z - 12. Calculate i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3980\/2259 - -4\/251. Suppose -8*t + 660 = -2*t. Find the common denominator of j and (-4*(-1)\/(-5))\/(t\/(-575)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 - 11 + 1)*(-2*f - 3 + f + 1)*(14 - 8 + 2)*(-1 + 1 + 2*f) to v*f**2 + k + l*f and give v.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhhh when four letters picked without replacement from lllllhlllhh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**3 - 39 - 12*o**3 - 51 + 90.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 386 by 2294.\nAnswer: 193\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 + 129. Let b(z) be the first derivative of -2 + 2\/3*z + 1\/12*z**4 - 2\/9*z**y - 1\/6*z**2. Suppose b(d) = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Suppose -d = -183 + 911. Let c = d + 42950\/59. Is x less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18*k**2 - 11357*k + 127767. Give y(-642).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 372542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22300101 (base 4) in base 7?\nAnswer: -242265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 f when four letters picked without replacement from fjjfjjjffffqfjh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6541, 6414, 6287, 6160?\nAnswer: 6033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c79 - -35?\nAnswer: -c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1578*(-22)\/3432 - 10\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.0917 rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -5\/4, 6.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.4 times -0.5?\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*m + 6507 = -5428 + 1907 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**5\/30 - 13*t**4\/12 + 4*t**3 + 27*t**2\/2 - 22. Let z(d) be the second derivative of r(d). Factor z(c).\nAnswer: 2*(c - 12)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 25*d. Let n(z) = -2*z. Calculate g(n(m)).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -120. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10362071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*q = 58, 0 = -3*k + 4*q + 258 - 150. Solve k*n - 48*n = 5*o + 22, -4*n = -4*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 30466*q + 30430*q - 60896*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, o: 2, n: 1, r: 3, b: 2}. What is prob of sequence nnbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 2.909963?\nAnswer: 0.090037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 153*m**2 + 168*m + 2439. Give n(-152).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43700*q + 33342.\nAnswer: -43700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*s**3*w**5 + 52*s**3*w**2 + 2*s**2*w**2 - 37*s*w**5 + 2*s*w**2 - 6*s*w wrt w?\nAnswer: 2160*s**3*w**2 - 2220*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 4. Let a be i(2). Suppose 3*j = -4*g + a, 2*j - 17 = -2*j - g. Solve z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -4\/3, 2\/19, 0.05, -5, 0, -24?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.71 and -1.75.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2651 + 5690. Suppose 4*s - 5291 = 5*q, -2*s = -5*q + 386 - n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -22*r + 56. Let c(s) be the third derivative of 1\/180*s**5 + 0*s**4 + 0*s**3 - 1\/360*s**6 + 0*s + 0 + 7*s**r. Factor c(j).\nAnswer: -j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -25 - 8) + 15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.47 times 30.8\nAnswer: 14.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409 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: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 2 - (-31 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 + 5*x**2 - 3*x - 2. Determine i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1053) + 2*sqrt(13) + -5 - ((sqrt(143)*-1)\/sqrt(11) - -2*sqrt(65)\/sqrt(5)))**2.\nAnswer: -140*sqrt(13) + 1349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 0, 94, 5, 18, 1, -5 in increasing order.\nAnswer: -34, -5, 0, 1, 5, 18, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 473235 and 333235?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in 0.2, 0.06, 2\/291, 2\/33?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let c(q) be the first derivative of 0*q**3 - 2 - 1\/24*q**4 + 0*q + q**2. Let v(d) be the second derivative of c(d). Determine v(w(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1568\/(-1680)*((-38)\/48)\/19*2*-15.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2931078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161171358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 9586451\nAnswer: 9586419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100221210120 (base 3) in base 14?\nAnswer: 14d12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 58. Let m be k(-4). Solve -m = -3*r - 25 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -482351*t + 370 - 14*t**3 + 482349*t + 16*t**3 - 370*t**2.\nAnswer: 2*(t - 185)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -244387*a + 11819701?\nAnswer: -244387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q = -44*q - 732000. Round q to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2468f6 (base 16) to base 9\nAnswer: -4436175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348010557 is divided by 9024?\nAnswer: 9021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from ifiifsissfsssssfi?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**3 - 42*y**2 - 50*y - 13. What is the units digit of n(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3\/3 + 97672*h**2\/3 + 596336384*h\/3 + 1192282112\/3 = 0. Calculate h.\nAnswer: -12208, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 5. Suppose -4*t = -n - z*t, 2*t = -n. Let j be 4 + 0 + 0 + n. Solve 2*l - k - 1 = 1, j*k = 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 35. Sort 4, w, -3 in descending order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/6 + l**2 - 49*l. Let n(z) = -z - 1. Determine 2*n(a) + y(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/12415 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14*a**3 - 2*a**2 - 2*a - 1. What is the hundreds digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*a + 132 = -37*a - 828 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87939.0728 take away 1?\nAnswer: -87940.0728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28516, 0, 4\/3, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2451)\/(-774))\/((-95)\/30 - -3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-1)\/((-3)\/2)). Let f(l) = -l + 9. Let s(n) = -n + 8. Let k(x) = -4*f(x) + 5*s(x). What is the units digit of k(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11 = -3*g - c, 27 = 5*g + 2*c. Sort -3, -2, g, -5 in descending order.\nAnswer: g, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -1\/4, -0.3, 44447?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 4 + 45)*(-3961*b + 3961*b - 170*b**4) + (-7 + 2 + 3)*(0*b**4 - 2*b**4 + b**4).\nAnswer: -8838*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4791, -22084, -50911, -91278, -143191, -206656, -281679?\nAnswer: -368266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 2*t. Let z be 80\/8 - (0 - -1). Let d be (-6)\/z + (-26)\/6. Let m(i) = -4*i**2 - 5*i. Give d*k(q) - 2*m(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k)**(-1\/21)\/(k*k*k\/(k\/(k**3\/k))*k*k)**12 assuming k is positive.\nAnswer: k**(-1510\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419344.\nAnswer: 2, 26209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 10*b + 17. Sort b, 2, 5, -2.\nAnswer: -2, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 3*x**2 + 2*x - 3. Let s be g(2). Let d(y) = -y + 13. Let m be d(s). Solve -4*v + v = -4*l - 3, -v + m = l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 434 = 9900. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-462)\/792*((-30)\/35)\/(-6).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5366*x - 4177*x + 60*x.\nAnswer: -9483*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*a - 2847, -5*g = 52*a - 51*a - 733. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1459 * -4\nAnswer: 0.5836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2308*m**2 + 20772*m. Determine v(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -3211334?\nAnswer: 3211331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-45))\/8*5. Is -3 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10659 and -26.\nAnswer: 277134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c + 7. Let t be x(-6). Let j be t\/((10\/4)\/5). Suppose 3*l + l**j - 3*l = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -268, -4, 5.\nAnswer: -268, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42+443527\nAnswer: 443485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 239714*a**3 - 90349 wrt a?\nAnswer: 719142*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (24\/(-15))\/(44\/(-62810))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvhvvvvvvvvvv. What is prob of sequence vhv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -107619*y. Let a(p) = -15*p**2 + 3. Determine a(o(x)).\nAnswer: -173727737415*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61400.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/53606089 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*j = -6536 + 74280 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 25926114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -2\/3 (c) -39 (d) 0.3 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 7*y - 190. Let d(t) = 5*t**2 - 94*t + 52. What is the tens digit of d(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34650 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let y = 47791\/110 + -4778\/11. Which is the closest to -92? (a) y (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 9. Let y be b(7). Suppose -2*c + 5*f - 14 = c, y*c - 18 = -2*f. Solve -c*x - 5*o = -12 - 16, 2*x + 2*o - 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1930 - 1680. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*l + 255 = 0, 5*l - 231 = 2*x - 49. Calculate the remainder when (-3)\/(-3) - -1 - x is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.1 - 29.7. Suppose 4*h + 7 = -5. Put h, 6, r in descending order.\nAnswer: 6, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose -18 = -4*s - 2*d, -s - 2*d + w*d = 3. Suppose s*z = 5*z - 14. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0 + 407*k - 370*k as b*k + q and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v + 4*d - 1, 26*v - 31*v + 3*d + 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*r**3 - 2*r - 52 wrt r.\nAnswer: -300*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + -0.04. Let b = p + -0.88. Let g = b + 1. Sort -4, g, 5 in descending order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.9 - -2.7. Let w = k - -12. Is -0.3 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h. Let z(w) = -12*w**2 - 213*w + 44. Let b be z(-18). Is b\/(-35) - h - (-5344)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-34)\/6 - -5)*381. Let q = 358 + m. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55330 and 24970.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1958203 divided by 13.\nAnswer: -150631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 3*r**2 - 5*r**2)*(-1 - 2 - 3 + (0 + 0 + 1)*(3 - 3 + 2) - 3 + 0 + 5 + 2 - 3 - 1).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4628, -3395 in descending order.\nAnswer: 4628, 4, -3395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 4*n**2 - 3 + 4*n + 2*n**2. Let h be a(2). Let v(t) = -t**3 - 6*t**2 + 2*t - 5. What are the prime factors of v(h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*b*i**2*t**4 + 2*b*i + 513*b - 2*i**2 + 7618*i*t**4 - 26*i wrt t.\nAnswer: -48*b*i**2*t**3 + 30472*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*c - 112, 31*b - 29*b = 2*c - 48. Solve 4 = 5*k + c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034951 - 1115.\nAnswer: -1114.965049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13940*n + 32 + 24 + 13988*n - 12*n**3. Let h(j) be the first derivative of -j**4\/4 - j - 3. Let g(x) = 8*h(x) - o(x). Suppose g(v) = 0. Calculate v.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.997642 + -0.999. What is x rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (0 + -1*sqrt(108)) - sqrt(108)) + -2)**2 + (sqrt(192) - (sqrt(192) + -2*sqrt(192)*4) - (-4 + sqrt(192) + -1))**2 + -1)*6.\nAnswer: 3216*sqrt(3) + 57264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 - 33002*c**3 + 170 + 33102*c**3.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 13) to base 12.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*l + 109, 1419*l = 1414*l - u + 11*u + 120 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 12*n - 3. Let h(l) = -6*l**2 - 32*l + 9. Let d(c) = 3*h(c) + 8*u(c). Let k(w) = w**2 - 2. What is 4*d(a) + 6*k(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 81 = 3*i, -6*i + 14 = -2*c - 4. Let m = 26 + c. Solve v + 26 = 5*q, -3*q = -8*q - m*v + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/20)\/(j\/(j*j\/j**22*j)) assuming j is positive.\nAnswer: j**(-399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -72 + 40 + 33. Let j(i) = 2*i + 2. Calculate -j(w) + 2*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2807094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (29 - (-2 + 25)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (1 - 2))*-1. Let v = 23 - 20. Is v smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -46*u - 40*u + 87*u + 6 + 4 - 5. Let g(m) = m**2 - 3*m. Let q be g(4). Suppose q = 2*f - f. Determine x(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3190 - 3187. Let u(a) = a**2 - 5*a + 4. Let k be u(6). Suppose 0 = 5*h - k*h + 10. What is the remainder when z is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-1))\/h*h*((h*(h\/((h*(h*h**(-1\/11)*h)\/h)\/h*h))\/h*h*h)\/h)\/h)\/(h*h\/(h**1\/h)*h\/h**(-6\/5)))**(-21) assuming h is positive.\nAnswer: h**(4746\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**5\/7 - 10492*q**4\/7 + 20976*q**3\/7 = 0?\nAnswer: 0, 2, 5244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -18999*o - 10. Let h be z(10). What is h rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a millennium?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*v + 102, 3*a - 44 = 3*v + 58. Suppose -18*l = -a - 2. Solve 4*h + l*s + 20 = 0, 0 = h + 4*s + 24 - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 6:30 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -188, -194, -202, -212?\n\"Answer: -z**2 - 3*z - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, 0.5, 0.3, -3.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 2*x - 806. What is the remainder when x is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:13 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 1123, 2532, 4505, 7042, 10143, 13808?\nAnswer: 18037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -558178268*k + 439107115 wrt k?\nAnswer: -558178268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -1 (c) 1\/4 (d) -56\/9 (e) -6154 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11847, 23730, 35613, 47496, 59379?\n\"Answer: 11883*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -200. Let k = -73 + x. What is the remainder when 141 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -1 (c) 46\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 300\/9 - (-1)\/(-3). Let j be 72\/u + 2\/(-11). Find the second derivative of 5*g - g - 2*g**5 - j*g + g**5 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103, 194, 297, 418, 563, 738, 949?\n\"Answer: h**3 + 84*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - 3103141?\nAnswer: -3103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56210 and 9.\nAnswer: 505890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*u - u. Let z(i) = -i + 29. Let l be z(-8). Let p = l + u. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -57. Let w be (76\/(-190))\/(2\/(-20)). Solve 8 = w*p + 4*s, -4*s + 1 = -2*p - i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*d = -5, -14 - 11 = -5*p - d. Factor -3*r**3 + r**4 - r**2 + 3*r**p + 3 + 0*r**2 - 3.\nAnswer: r**2*(r - 1)*(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -39, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*y - 72*y + 3*d - 61 = 0, -3*y + 29 = -2*d for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588560 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25458740*t - 76376872*t + 25459403*t + 25458730*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 19 + 41 = 0. Let k be (0 + v)\/(-5) - 140. Let a = -54 - k. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391*v**4 + 567*v**3 - 6*v**2 - 58806 wrt v?\nAnswer: 9384*v + 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80211 - 5?\nAnswer: 80205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 + -89. Let s = j + -12. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*o - 3*o + 319 = 0, -s - o + 162 = 0. List the prime factors of s.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.255 + -16.9. What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(117) + (sqrt(117) + -1 - sqrt(117)) + 1)*-4 + sqrt(117)*1*2*-4)*2)**2.\nAnswer: -1440*sqrt(13) + 67492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 16 = g, -4*p + 61 - 17 = 17*g + 303 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209135, -209134, -209133, -209132?\nAnswer: -209131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -66*p - 48. Let n(q) = -4*q**2 - 8*q + 10. Let b be n(-3). Is 6 a factor of z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.6 + -27. Put 3, z, -2, -0.1 in decreasing order.\nAnswer: 3, -0.1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 12) to base 7\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(575\/25))\/((-2)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -9.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 + 620. Suppose 2*c - h = -2*v + c, 3*c - 225 = -v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1796*a - 1155*a - 1030*a)*(-39*a - 8*a**2 + 39*a).\nAnswer: 3112*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1269 + 46 + 126*v - 124*v)*(0*v**2 + 5*v**2 - 3*v**2)*(1 - 3 + 0).\nAnswer: -8*v**3 + 4892*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70\/11 - 1730\/99. Let l = n - -682\/63. Let z be (-4)\/14 + (-512)\/(-616). Which is the nearest to z? (a) -1 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.168246 + 15.168274. Let a = -29 + 19. Let o = a + j. What is o rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-20))\/((-1 + 5 - 2)\/(-10)). What is the closest to 1.5 in 0.3, n, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -783*c + 5686 + 1361 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.2 (b) 5191 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + -2d?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -5*m**4\/4 - 215*m**3 + 5*m**2\/2 + 645*m - 2839. Determine l so that s(l) = 0.\nAnswer: -129, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10122011220?\nAnswer: -10122011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**3 - 3*i**2 + 1. Let a(d) = -15*d**3 - 7*d**2 + 3. Let m(b) = 7*b**3 + 3*b**2 - 1. Let x(k) = a(k) + 2*m(k). Calculate -x(h) + y(h).\nAnswer: 8*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47)\/(-1)*((-5 - -2) + 1). Is j smaller than -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, -5 in decreasing order.\nAnswer: 3, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*f + 80, -28 = -2*f - 2*p + 22. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - 117\/(-45). Suppose 202 = v - x, 2*v - l*x - 323 = 78. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -861 <= -861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -526 + 523. Let k(c) be the third derivative of -c**4\/6 - c**3\/3 - 2*c**2. Give k(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 7. Let l be b(10). Suppose -5*y + 3*y - w - 5 = 0, -35 = 4*y - l*w. Let d(v) = -v - 2. Let n(q) = -3*q - 4. Determine y*d(j) + 2*n(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**2\/2 + 2*o - 1. Suppose -9*w - 2*g - 55 = -14*w, -3*g = 4*w - 21. What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6906*z = -g - 6901*z - 44, -30*z + 128 = -2*g for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3244.5 - 3248.5. What is the fifth smallest value in n, 0.1, -3\/4, 132, -0.1?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 745 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/16 and 90\/16 + 5\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/(h*h*h**0))**(1\/9))**(-2\/41) assuming h is positive.\nAnswer: h**(2\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -1450351?\nAnswer: 1450303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 12. Suppose -5 = n - 10. Suppose -j = 3*v - 13, -v + n*v - 28 = -4*j. Solve -m = -4*o - v*t, 6*o - o = 5*t + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 372 or -99400?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*c = 24*i - 28*i + 312*c - 68, -4*i + 2*c - 64 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 60, 83, 106, 129, 152?\n\"Answer: 23*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -16 - (11 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9969863 (base 10) in base 5?\nAnswer: -10023013423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*z**4 + 258*z**3 + 744*z**2 + 480*z - 384.\nAnswer: 3*(z + 2)*(z + 4)**2*(9*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27354.5 - -27355. Which is the closest to -7\/9? (a) q (b) 0.7 (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001000 (base 2) to base 6.\nAnswer: -1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j**(-2\/55)\/j))\/j*j**(-6\/17)*j*j)\/(j**(4\/19)*j*j*j*j**2) assuming j is positive.\nAnswer: j**(-27129\/17765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n**2 - 12*n + 12. Let w be f(5). Suppose 0 = -w*s + 2*d - 14, 5*d = -0*d + 15. Let x = s + 9. Solve i - 2*i - 3 = m, 4*i = x*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Suppose 0 = 70*d - 77*d + 77. Calculate the lowest common multiple of d and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 23\/25043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93 - 7. Let j = m - -399\/4. Let f = -2 - -6. Which is the closest to j? (a) 3\/7 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -12 (c) -1 (d) -243\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 799, 4, -155.\nAnswer: -155, -80, 4, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2088 and -0.58.\nAnswer: -1211.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6477, -6475, -6473?\n\"Answer: 2*t - 6479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c1 (base 16) to base 6\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -1 + 1\/30*j**4 + 7*j - 4\/15*j**3 + 4\/5*j**2. Let m(l) be the first derivative of o(l). Factor m(z).\nAnswer: 2*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyokbyoykhhyyyfbhyy. What is prob of picking 1 k, 1 o, and 1 b?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 23*v. What is the remainder when o(3) is divided by 26\/2 + (2112\/(-48) - -45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 68?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/(2\/(-3)). Let z be r\/2 - (-6)\/(-4). Let a be -5*(-1)\/(-2)*z. Sort 1, -1, a in ascending order.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/4)*i\/((i\/(i*i*i\/(i*i*i**(-3))))\/i)*i assuming i is positive.\nAnswer: i**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -65. Suppose q + 2*t = m, 0*q - t + 44 = 3*q. What is the remainder when 57 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**3 + 3*o - 7 + 0*o**3 - 4*o**2 + 8*o**3. Suppose 5*u - 4*t = -25, 2 = -3*u + t - 13. Determine k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-9)*(-8 - 67). What is the greatest common divisor of 80 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0 - 4*r + 1 + 15*r**2 - 13*r**2 - 4. Give z(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Suppose -5*i = -c*i - 4*h - 26, -27 = -4*i + 3*h. Solve 0 = 4*l - 2*t - 10, 1 - 13 = -i*l + 3*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, l: 2, w: 6, z: 7, h: 1}. What is prob of sequence zw?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1618 divided by -1618\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 4*c + 64. Suppose -4 - 6 = -2*v. Suppose -v*t + 47 = -33. Calculate the highest common divisor of c and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (3 - (5 - -9)) - 32.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*y - 2 = 0, -1 - 1 = 3*k - 2*y. Let f(w) = -2*w + 118 - 119 + 8*w + w**k. Let p be f(-6). What is the nearest to p in 1\/3, 1\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -332 - -1662\/5. What is a in l*a**2 + 0*a + 2\/5*a**3 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 53995*a**2 + 145691975*a + 437562015.\nAnswer: 5*(a - 5401)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 173*f - 5229. Give t(39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253304 (base 6) in base 12?\nAnswer: 11234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1468 - -2435. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*-3*(-48)\/28. Let y = -188 + 296. Suppose y = b + b. Calculate the greatest common divisor of b and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 88 = 4*t, 0 = 2*s - 7*s + 2*t + 260. What is the greatest common divisor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*c**4 - 84165650*b**3*c**3 + 18*b**3*c + 4*b**3 + 55*b**2*c**2 - 10*c**2 - 711*c wrt c.\nAnswer: 120*b**3*c - 504993900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.024 (c) -1\/4 (d) -1\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/23 + 97\/184. What is the second smallest value in -5\/4, -1.3, 0, n?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 18, g: 1}. Give prob of picking 1 k and 1 g.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 + 3*t - 3. Let z(b) = 4*b**2 + 4*b - 3. Let s(h) = -7*p(h) + 6*z(h). Let i be s(5). Let w = 110 + i. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 22*g + 636. Let c be o(-29). What is the closest to 0.1 in 1\/7, c, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003803439 to six dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkokkktktoktkkkktt. What is prob of sequence to?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/16 + (-141438)\/56)*-21 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220220011020 (base 3) in base 8?\nAnswer: 1675022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 + -101. Find the common denominator of 3\/2 - p\/(-12) and -27\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**3\/((g*g\/(g\/g**5)*g)\/g*g**(3\/2)) assuming g is positive.\nAnswer: g**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273905*f**2*n**3 - f**2*n**2 - 6*f**2 + f*n**3 - 6712*f*n - 2*f + 40*n**3 - 2*n**2 - 1 wrt f?\nAnswer: -547810*n**3 - 2*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14)*2\/(-8))\/(13280\/139440)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Let t(v) = -4*v - 5. Let b be ((-4)\/2 - 1\/2)*2. Let o(s) = -5*s - 6. What is b*o(w) + p*t(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27969\/11513 + -102\/397. Which is greater: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvyo when four letters picked without replacement from ovoky?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -277 divided by -3\nAnswer: 277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10114205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -174, -397, -728, -1179, -1762?\nAnswer: -2489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45046?\nAnswer: 2, 101, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 3. Suppose 4*g + 2*r = 20, -2*r - h = -g - 3*r. Suppose 3*s + 4*n - 7 = 0, 2*s - n + 3 = g*s. Solve 0 = -q - 3*w + 9, s*w = -3*q + 17 - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2172 - 3411. Suppose 14*x = 12*x - 112. What are the prime factors of (-2)\/16 + g\/x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -374, -1423, -3092, -5321, -8050, -11219, -14768?\n\"Answer: 10*p**3 - 370*p**2 - 9*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjyljjjww. Give prob of picking 1 y and 1 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -10, -5*b - 16 = -2*k + 33. Suppose -x - 5*o = -15, 2*x - o + 5 - 35 = 0. Let g = b + x. Round g to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-1755)\/350) + (-69)\/322. Suppose -8\/5 + 1\/5*m**3 - u*m - 4\/5*m**4 + 1\/5*m**5 + 2*m**2 = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15858)\/(-5286))\/(1\/(-31))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -4*m + 5, 0 = 4*m - 2*i - 2. Let u(z) = -z**3 + 8*z**2 + 12*z - 21. Let k be u(9). What is the derivative of -m + 2*c + 9 - k wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 919*d - 446*d - 473*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 28b0 (base 13) to base 8\nAnswer: 13401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -43. Let w(d) = -3*d**2 + 0*d**2 + v*d**3 - 53*d**3 + 7*d + 7. List the prime factors of w(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*t + 44 - 20, -4*z - 2*t = 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -186239.16.\nAnswer: 74495.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9924243ml?\nAnswer: 0.0009924243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100102220202 (base 3) to base 12.\nAnswer: 502778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33\/5 - -6. Suppose -q + 0*q = 0. Let z be 1*-2 + q + 0. Put z, l, 0 in ascending order.\nAnswer: z, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19722 divided by 179?\nAnswer: 19722\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-4 + 2 + 2). What is the first derivative of 18*q**2 - q + q + d + 15 wrt q?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b + 90 = 0. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 42*u**3 + 7*u**2 - 7. Let q(d) = -28*d**3 - 5*d**2 + 5. Give 5*i(a) + 7*q(a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71 and -5.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-5))\/(4\/(-100)). Round v to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 626044*u + 626045.\nAnswer: -(u - 626045)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-21) + (-15283)\/35154. Let y = f - -73\/162. Suppose -2\/9*z**5 + y*z**4 + 0 + 0*z**3 + 2\/9*z - 4\/9*z**2 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*b + 2530, -3*b + 1136 = 2*d - 366. Calculate the highest common divisor of b and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(80) - sqrt(80)))\/(sqrt(16)*-5))\/(-4*(sqrt(3456) - sqrt(3456)*2)\/sqrt(6)).\nAnswer: -sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1196 = -4*v + 648, -8 = -2*a. Calculate the highest common divisor of v and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 3*z - 43 + 40, 3*f + 2*z = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040826367 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.69*7.\nAnswer: -4.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277 + 277.3. Which is the third biggest value? (a) j (b) -2\/7 (c) 0.4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/3*2\/(-12). Let s be (9\/(-621))\/((-2)\/(-4)). Which is the nearest to -1\/3? (a) 1\/3 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3515*n. Let f(y) = -93*y + 32*y + 29*y + 30*y. What is j(f(h))?\nAnswer: 7030*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1872) - (sqrt(1872) + -2*sqrt(1872)))\/(sqrt(4) - sqrt(12)\/sqrt(3)*3 - sqrt(4)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14880779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -10. Suppose r*g - h = 1205, 17 = -2*h + 7. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = -p - 16, p + 12 = -4*z. Let c be (2\/(-2))\/(-2)*p. Suppose 0*x - x - c*j + 3 = 0, 4*x = 4*j + 12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m - 3. Let b be a(-3). Let t(u) = 2*u**2 - 47*u - 19. Let d be t(b). What is the greatest common divisor of 35 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 914, 5, 2, -1\/3, 0.08 in decreasing order.\nAnswer: 914, 5, 2, 0.08, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10814.9342 rounded to the nearest ten?\nAnswer: -10810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (39 - ((7 - -1) + -3 + -18)) + -8\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.2, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5274152 divided by 676.\nAnswer: 7802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59579661 is divided by 37006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 14*o. Suppose 0*q - 11 = -z - 3*q, -25 = -5*z - 5*q. Let i be -2 + z\/(-3)*-3. Which is the nearest to i? (a) o (b) -5\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + -7 + (2 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2494 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66606.\nAnswer: 2, 3, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46 + 63?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c. Suppose 0 = -2*r + 4*o + 10, -r + c*r + 3*o + 5 = 0. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -716 divided by -2\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3931*d**2 + 13*d**3 + 3929*d**2 + 2*d + 2 + 12*d**3 in the form r*d**3 + i*d + c*d**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 26, 0.1, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -132*v + 130*v - 2, 4 = 4*t + 4*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - h**2 - h + 1. Let n(l) = 877*l**3 + 2*l**2 - 575*l - 4. Let a(u) = 4*f(u) + n(u). What is the second derivative of a(b) wrt b?\nAnswer: 5142*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820036193 a multiple of 4611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512455 is divided by 703?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 15*w - 5*w**2 + 15*w)*(2 - 2 - w).\nAnswer: -w**5 + 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 16*q + x + 296, 4*q - 596 = x. List the prime factors of q + 5 + (-12)\/(5 - 2).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -5*t + 4*a, 12*t + 3*a + 4369 - 4285 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 364, 1221, 2888, 5635?\nAnswer: 9732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34021, 33989, 33937, 33865, 33773?\n\"Answer: -10*u**2 - 2*u + 34033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -1 - 0) + (7 - 3). Let q(h) = -h + 14. What is q(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 - s**4 - 17*s**3 + 53*s**2 - 56*s + 20 = 0. Calculate s.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 4690676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h - 9. Suppose -3 = h*j - 11. Let b(o) = 25*o + 2*o**j - 25*o. Let a(x) = -9*x**2. Determine a(b(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -981.44695 rounded to one decimal place?\nAnswer: -981.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189330?\nAnswer: 2, 3, 5, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1))\/(t*t*t\/t**6))\/(t*t**(2\/3))**(5\/4) assuming t is positive.\nAnswer: t**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13)*a*a)**33\/(a**(-11\/4)*a**(-7\/6)) assuming a is positive.\nAnswer: a**(11699\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 15, 0*h - 21 = 2*b + h. Let a be (-5)\/((-10)\/b) - 1770\/(-441). Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.708 times 581\nAnswer: -411.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36745?\nAnswer: 5, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/u**(-9)*u))*u))\/(u*u**(-20\/3)*u*u*u) assuming u is positive.\nAnswer: u**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from nqvjqjmjjj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*c = 74*c - 85. Let s be ((-10)\/4)\/(c\/(-68)). Solve b + s = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -d + 5*s, 2*s = 3*d - s - 114. What is the remainder when 110 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 39\/7*l - 66\/7*l**2 - 54\/7*l**3 - 9\/7 - 3\/7*l**5 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.1 (c) 37\/2 (d) 1\/9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857916 is divided by 69.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 8 + 13*t - 15*t - 2*t**2 + 4 - 4*t - 2*t**3 + 4*t + (0*t - 3*t + 2*t)*(t**2 - t**2 + t**2).\nAnswer: -t**3 - 2*t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q + 45. Let a be f(0). Let p be ((-32)\/12)\/4*6. Let b be 1\/(p\/(-32)) + 1. What is the greatest common divisor of a and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 191863329 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3 - 3. What is the remainder when 96 is divided by i - (-4 + -4 - -4) - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-2 + (sqrt(17) - (sqrt(17) + -2 - sqrt(17))))**2 - sqrt(17)))*-3.\nAnswer: -36 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/3)\/1 - -4. What is the units digit of (0 + n)\/(7\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 4. Let l be 6*44 + 4\/k. Suppose 0 = 5*s - l - 179. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120687.\nAnswer: 47, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, -2, 6, 2, 4 in increasing order.\nAnswer: -198, -2, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12 and 19\/354?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228) + sqrt(228)*-2))\/(sqrt(12) - sqrt(192)*4) + ((sqrt(190)*-3)\/sqrt(10))**2 + sqrt(171)\/sqrt(9) + -1.\nAnswer: 16*sqrt(19)\/15 + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(2 - 2*l - 2) - 4*l + 1 - 1 - 13*l - 127 - 124 + 250.\nAnswer: -19*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 4 - 8 - 7*w**3)*(-4*w**2 + 2*w**2 - 7*w**2).\nAnswer: 63*w**5 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22*-0.93\nAnswer: -20.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let n(d) be the first derivative of -19*d**5\/30 - 2*d**2 - 2*d + 27. Let o(f) be the second derivative of n(f). Calculate s(o(j)).\nAnswer: 76*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j*v**4 + 9*j*v**2 - 6661*j + 3*v wrt v?\nAnswer: -24*j*v**3 + 18*j*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3875)\/(-30) - 4\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185294 is divided by 2058.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - 976\/40. Let v = f + 42. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.1 (c) -0.06 (d) 314 (e) 1\/2 (f) 9 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 6 + 0*v - 21*v. Let w be q(-6). Let i be (5\/(-2))\/((-5)\/w). What is the greatest common divisor of i and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121054779.9999175 + 121054570. Let k = q + 210. Round k to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from qmiqi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 163*f**4\/24 + 14*f**3\/3 - 17*f**2 + f. What is the units digit of d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 4:17 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**3 - 21*p**2 - 9*p - 5. Let z(t) = -11*t**3 - 32*t**2 - 14*t - 8. Let o(s) = -8*c(s) + 5*z(s). What is the tens digit of o(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -197.\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 38. Let p(u) be the second derivative of -u**4\/12 + u**3 - u**2\/2 + 3*u. Determine p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:52 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 4 - 4)*(-74 + 24 - 44) to the form d + g*c and give g.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007927 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -58. Let f be y*(-3 + 10\/4). Suppose -18 = -5*u + f*u. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2804*l + 32. Let v(w) = 597251*w + 6832. Determine 2*v(i) - 427*z(i).\nAnswer: -2806*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213443412 - 0?\nAnswer: 213443412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x - 6. Which is the second smallest value? (a) -2 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2007\/204400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2542 + -2654. What is the fourth smallest value in c, 2, 0.4, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -757415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 1267.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16750383 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 - 11960*d**3 - 35910*d**2 - 35920*d - 11975 = 0. What is d?\nAnswer: -1, 2395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1048 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 + 3*h**2 + h + 488. Let q be n(0). What is q rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56\/17 - 159\/136. Find the common denominator of -43\/10 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -31*n**5\/20 - n**3\/6 + 1529*n**2\/2 - 2*n + 27. Differentiate w(j) with respect to j.\nAnswer: -93*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 7. Let s be u(0). Let y = 5 + s. Let m be (15\/(-6) + -1)*y. Solve -2*n + m*n = 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76.7425 and 153278856.\nAnswer: 153278779.2575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, k: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/225 - 5029\/2475. Find the common denominator of i and -81\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 32\/5 of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by -4.\nAnswer: -139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8625 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*l - 10. Suppose l*m + 11 = 2*s, m - 6 = -5*s + 13. Suppose -3*c + 20 = 4*k, -s*k = -3*k + 2*c. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**2*m**3 + 6*h**2*m + h**2 - 935*m**3 + 2*m**2 wrt h?\nAnswer: 2*h*m**3 + 12*h*m + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-54))\/(2\/18). Which is the closest to 2? (a) 4\/5 (b) i (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -23*r**2 + 7*r + 1. Let o(b) = 23*b**2 - 6*b - 1. Let j(l) = 5*o(l) + 4*q(l). What are the prime factors of j(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/936760 and -81\/2576090.\nAnswer: 10304360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1374294 and 19\/2519539?\nAnswer: 15117234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -26*j + 32*j. Let g = j - -14. Suppose 0 = -4*w - 5 + 13. Is w bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93271?\nAnswer: 19, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n = -q + 11*n + 214, -q + 9*n + 23 - 54 = 5*n for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + -19. Let c be (-4)\/(-10) + 4\/y. Suppose 4 = 15*l - 11*l. What is the second biggest value in 0.2, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (13 + 57 - 12) - -25?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25149781 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*y + 0)*(-1 - 3 + 2 + (2 - 4 + 3)*(-3 - 4 + 5) + 3 - 2 + 1)*(-y - 3*y + 11*y)*(3 - 3 - y) as i*y + m + t*y**3 + u*y**2 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5510000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/100 + p**4\/10 + 6*p**3\/5 + 4*p**2 - 42*p. Factor s(r).\nAnswer: -(r - 10)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 divided by 3?\nAnswer: -496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.07188 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -0. Sort -1, y, -2 in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37998025?\nAnswer: 5, 13, 43, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 8:23 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 4*d. Let c(t) = 4*t**2 - 9*t. Determine 4*c(k) - 9*q(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:45 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 268\/52 - -4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-12)*(1 + (-11)\/(-5)). Let v(k) = -k**3 + 9*k**2 - 3*k + 3. Suppose -3*q = q - 92. Calculate the remainder when v(x) is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((30186\/81)\/(-13))\/(8\/(-2)) + -7. Let -v*w**2 - 6*w - 54 = 0. Calculate w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmlunnumnm. Give prob of picking 2 n and 2 l.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 12*g + 4537 - 4234, 0 = 4*w - g - 421 for w.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -c3?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0)\/(-1)*(-102 + 97).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11723)\/74442 + ((-2)\/12)\/(-1). Is 0 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 (base 7) in base 6?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 12*s**2 + 16*s + 7. Let a(y) = y**2 - y. Let c(m) = -2*a(m) - q(m). Let n be c(-11). Solve t - u - 6 = -t, -4*t + n = 5*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzkztcttettzxttt. What is prob of picking 1 e and 2 t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y + 2. Let f be v(-3). Let j = 81 - f. Suppose 13 - j = -a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-32))\/(-6*25\/4200)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -451 divided by -1970\nAnswer: 451\/1970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 44*t - 93. Let i be f(-24). Suppose 8*s + 2*p = 9*s - 787, i*s - 2326 = -p. List the prime factors of s.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/30 + 14\/(-3). Let n be 26\/112 - q\/28. Let w = 51 - 359\/7. Which is the nearest to w? (a) 0.1 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -447850994 by -3.\nAnswer: 447850994\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -47, 136 in descending order.\nAnswer: 136, 5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.88867 to the nearest integer.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 * -6820\nAnswer: 19096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(2\/147)*z**(1\/7)*(z*z**2)\/z**43 assuming z is positive.\nAnswer: z**(-5416\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.05 and -68237444.\nAnswer: -68237441.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 5 - (2 - 16\/(-9)). What is the closest to -2 in d, -2, -0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 49*b**2 + 7*b. Let u(i) = 3*i + 24. Determine h(u(g)).\nAnswer: 441*g**2 + 7077*g + 28392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1. Let a(f) = -3*f - 5. Let v = -63 + 68. Give v*d(k) + a(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5698800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h + 18 = 0. Suppose -23*j = -24*j + 3*q - 3, 2*q = 4*j + 12. Sort -5, j, h in decreasing order.\nAnswer: h, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215457078 take away -11566?\nAnswer: -215445512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.467562t to nanograms.\nAnswer: 7467562000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**3 + 0*d + 1\/60*d**5 - 4*d**2 + 0 - 7\/24*d**4. Let g be w(6). Solve g = -4*j + j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459886712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/462 - 1\/22. Which is the nearest to 0? (a) z (b) 2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 43. Let n(q) be the first derivative of q**3\/3 - 3*q**2\/2 - 9*q + 1. What is the tens digit of n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 2*n + 3*n)*(3 + 0 - 5)*(-1 - 1 - 1) + (-9*n - 13*n + 5*n)*(-3 + 5 + 0) in the form k*n + c and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 10 = -h + 62, 0 = 3*h + 2*a - 156. Calculate the remainder when 205 is divided by h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96562, -96561, -96562, -96565, -96570, -96577?\nAnswer: -96586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by -67?\nAnswer: -166\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211*c**3*z**2 + 4610*c**3*z - 93*c**2*z + 3*c*z**2 + 3*c*z + 89*c - 3*z**2 wrt c?\nAnswer: -1266*z**2 + 27660*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -29*p**5\/5 + p**4\/12 + 157*p**3\/6 - p**2 + 14*p + 24. What is the second derivative of k(o) wrt o?\nAnswer: -696*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2323788 - -35?\nAnswer: 2323834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/5 (c) -3 (d) -373\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 3383 + 87*c**4 + 49*c**2 + 3391 - 90*c**4 to the form o*c**4 + a*c**3 + q*c + n + y*c**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6061 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 20*c + 7. What is the remainder when 17 is divided by s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -22*2\/12 + 441\/(-147)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80234 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + i + 1. Let w be 129\/4 + 7\/(-28). Suppose -x = -5*x + w. Suppose -1 = -3*z + x. Let n(h) = -3*h**2 - 2*h - 2. Determine z*n(p) + 5*o(p).\nAnswer: p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 145783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, 1 w, and 1 r when four letters picked without replacement from {r: 1, c: 2, z: 4, w: 1, i: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119783 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o - 11. Let w(b) be the first derivative of -3*b**2\/2 - 2*b + 6. Let i(u) = 2*l(u) - 11*w(u). Let d(s) = 8*s. Determine d(i(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 18*u + 17. Let a be o(-18). Let i = -64 - -200. What is the greatest common divisor of i and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4125 take away -14492.758981?\nAnswer: 14491.346481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2 + 80*z + 79 = 0?\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvzzzvzzzzvzvvzvzzv. Give prob of picking 2 v and 2 z.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 1 - 1)*(2 + 3 - 3)*(3*g + 2*g + 16*g).\nAnswer: -252*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 6, 1, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2297790171 to five decimal places.\nAnswer: 0.22978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/226 (b) -5\/3 (c) 204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 21*j**2 + 25*j - 17. List the prime factors of o(20).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 8 - (10 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-293449)\/103740. Let g = -8\/665 - k. Calculate the common denominator of -47\/10 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 55255417*t\/4.\nAnswer: t*(t - 55255417)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from weyyeeyyy.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - d - 18. Let n be m(0). Calculate the common denominator of (-1 - 0)\/((-300)\/915) and (106\/(-6))\/(132\/n).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Let b be r(2). Let u be (-2 + b)\/(4 + 40\/(-12)). Solve 5*d + 6 - 1 = 3*h, -u = 3*h - 3*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - -159. Let t = w - 95. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 6 - 7 = -2*m + 4, -364*m = -3*r - 1453 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 922, 989, 1090, 1219, 1370, 1537, 1714?\n\"Answer: -j**3 + 23*j**2 + 5*j + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = f + 4*f. Let i(z) = 3 - 2*z + z**2 - 2 - 3. Calculate the remainder when 17 is divided by i(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(75) - -1*sqrt(75)))*2.\nAnswer: -10 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -70. Let i(c) = -c**3 + 3*c**2 - 2. Let o be i(r). Let p be 14\/56 - (-22)\/8. Are o and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -y + 2910, -3*d - y = -0*y - 2183. Suppose -10*z = -533 - d. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 125*o - 3570.\nAnswer: 5*(o - 42)*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 493640 = -4*u, -5*u + 0*u + y = 617050. Is 3\/(-2)*u\/105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 1019 = 3319. Suppose 223*n - d*n = -2618. What is the least common multiple of 14 and n?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2613660*b**4 + 2449247*b wrt b?\nAnswer: -31363920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 458 + 8. What is the remainder when 49 is divided by -10*w\/(-48)*(-8)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 29 = -2*x - z, -3*z + 9 = 0. Suppose -2 - x = -6*u. Suppose -5*v = 15, 2*l + 96 = 5*l - 2*v. Calculate the smallest common multiple of l and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2. Let f(l) = 79*l**2 - 34*l**2 - 32*l**2. Determine z(f(m)).\nAnswer: -507*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5383.866 months to millennia.\nAnswer: 0.4486555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.66, 0, -5 in ascending order.\nAnswer: -5, -0.66, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 0 (c) 46\/7 (d) -1 (e) -0.024 (f) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13228104*p**3 - 16162069.\nAnswer: -39684312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(-4)))\/((d\/(d*d\/(d**(-2\/9)*d)))\/d)*(d\/((d\/(d\/(d\/(d*d**0*d)))*d)\/d))**41*(d**3\/(d*d**1))**(-2\/11) assuming d is positive.\nAnswer: d**(8716\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/4 - 2*w**3 - 3*w**2\/2 + w + 38. Is 7 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.5 - -44.5. Which is the closest to y? (a) 0.5 (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -937*w - 28128. What is d(-30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/144420 and 59\/27144?\nAnswer: 11264760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(1500\/(-576)) + -10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -2 (b) -5 (c) -11 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 130.10175 times 0.3\nAnswer: 39.030525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**3\/6 - p**2\/2 + 3*p. Let r(m) = 4*m - 1. What is 3*f(s) + r(s)?\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + d. Let s(n) = 2*n**3 - 7*n**2 - 2. Let p(r) = 3*f(r) - s(r). Let g = 118 - 121. Let c be p(g). Solve -c*i - 8 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2937488, 2937673, 2937858, 2938043?\nAnswer: 2938228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from prr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z**(1\/10)*z*z)\/z))\/z*z*z**(-2\/3)*z*z**(-4\/11)*z*z*z**(-9) assuming z is positive.\nAnswer: z**(-2683\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - 81.87. Let p = t - -87.1. Let k = p + -5. Which is the closest to 0.2? (a) k (b) 0 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -524 + 2464. List the prime factors of u.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u**2 + 2*u + 1. Does 13 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v + 14. Let q be d(2). Solve -2\/3*h**2 - 2\/3*h**4 + q - 4\/3*h**3 + 0*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -40*l - 2. Let m be f(-2). Suppose -m = -5*g - 2*x + 11, x + 41 = 2*g. Calculate the lowest common multiple of g and 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 1472. Let m = q + 7267. Let l = m - 111971\/14. What is the common denominator of l and 91\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17239 - 6823. List the prime factors of f.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110818072 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3 + 1 - 1 + 1 + 2 - 2 + 2 - 3 + 1 + 0 + 0 + 1 + 1 + (-6 + 3 + 2)*(3 + 2 - 3) + 4 - 4 - 2)*(0 + 1 + 1)*(m + 7*m + 3*m).\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.061 in 38, 8\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68462*c**3 + 55*c + 327 wrt c?\nAnswer: 410772*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 220927*u + 3435. Let h be j(-5). Round h to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24 and 149.9?\nAnswer: 125.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Suppose 5*c - 150 = n, -p*c + 0*c + 60 = -5*n. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 1070027?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/((-18)\/3) - -35. Find the second derivative of -s + 33 + 3*l**2 + 16*l - 5*l**2 - 8*l**4 wrt l.\nAnswer: -96*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 6, r: 3, e: 2, a: 3}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -693, -1038, -1383?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 359546?\nAnswer: 395500.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.4, -0.033, 86?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2.921 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 3. Let a be g(0). Let h be 51 - (6 + a + -6). Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 34 + 94. Let x = 2 + -4. Let q be 37 + 1 + 1*x. Calculate the greatest common divisor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - (15 + -18 + -4 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 10*j - 9*j - j. Let f(i) = 13*i. What is q(f(b))?\nAnswer: -169*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3228)\/(-13464) - (-5)\/(220\/8) and 43\/30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -17. Solve x*g = 6*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0426 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-2 - 10\/(-4)). Let f be (-11)\/(-1) + (-5 - -3). List the prime factors of -6*o\/(f\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -27. Let l = x - -26. Let n(h) = h - 3. Let c be n(5). Solve -l*f + 9 = c*y - 9, 2*f = -5*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133937.\nAnswer: 151, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 926, -6, 1, 2, 10, 7 in increasing order.\nAnswer: -6, 1, 2, 7, 10, 926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (-4 + 5 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-8 - -3 - -3). Which is the smallest value? (a) -6 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**2 + 2*z - 6. Give h(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 61*a - 59*a + 5772 = 0, -2*a = -4*p + 7694. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(216) - sqrt(24)) + sqrt(24))*-5 - sqrt(216)\/sqrt(144))\/((sqrt(120)*-1)\/sqrt(10)*2))**2.\nAnswer: 3721\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88728457?\nAnswer: 17, 23, 149, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 0*s - 1 = 2*s, -89 = -3*n + 26*s - 184 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13*11*14\/(-154)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 1785 = 16*k. Let x = 4639\/13 + k. Which is the second smallest value? (a) 2\/9 (b) x (c) -1 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20608*q + 21132*q + 17292 = 0 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**6\/20 - g**5\/20 + 5*g**2\/2 - 3*g. Let h(l) be the first derivative of o(l). Factor h(z).\nAnswer: 3*z**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -486, -3, 176, 13, -0.04?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3 + 3*i**2 - 2 + 3*i - 4*i. Let c = 1 - 0. Give o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*o**2 - 2*o**3 - 3 + 3*o**2 + 0*o**3 - 62*o**2 as n*o**2 + u*o**3 + s*o + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p - 151. Let r be l(34). Let u = r + 1235. What are the prime factors of u?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 4*s**2 - 4*s**2 - s - 1 + 0*s**2. Let c = 6 + -3. Let j be a(c). Solve 0 = -3*w - l - 4*l + j, -2*l - 12 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) -38\/2187 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3\/6 + 8*p**2 - p. Let q be h(10). Let r = -1 + q. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 918\/10 + 3\/15. Suppose 2*n = 2*x + 162 + s, -260 = 2*x + 4*n. Is -1 - 2 - -2 - x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, 0.3, 670, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -41. Suppose 3*u = -l + 14. What is the second smallest value in u, -1\/2, -2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-18)\/4*-39*28\/756?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2\/43)\/g)\/g*g**(2\/7) assuming g is positive.\nAnswer: g**(72\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 7*l**2 - 6*l - 4. Let u be (0 - -3)\/(-3) + 2. Let f be (-17 + 1)*117\/52. Let z be (f\/30)\/(u\/(-5)). Give m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/64 and -13\/45824?\nAnswer: 45824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330238021 and 19235?\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.690117l in millilitres?\nAnswer: 690.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00123 and -10.\nAnswer: -10.00123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 109571913 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3106519.39938 - -3106486. Let t = -33.4 - j. What is t rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13187 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -3 - 7) + 3200\/375. Is i < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8656*u + 2 - 4458*u - 4274*u.\nAnswer: -76*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736464051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + w**2 - w**2)*(-3*w**2 + 5*w**2 + 0*w**2) + (-2*w**3 + 2*w**2 - 2*w**2)*(9*w**2 - 459 + 459).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/7)*l**(-2\/17)*l*l)\/(l\/l**(-2\/5))**(-5\/2)*((l*l**(-4\/5)*l)\/(l**(-5)\/l))\/(l\/(l*l\/(l\/(l*l**7\/l)*l)*l)*l**3*l) assuming l is positive.\nAnswer: l**(18373\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -161197, 1 in ascending order.\nAnswer: -161197, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7 + 24 - 2*p - 3*p - 88*p**2 + 89*p**2. Let b be l(6). Let r = b - -27. What is the lowest common multiple of 55 and r?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 4:18 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125345152410 + 1?\nAnswer: 125345152411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c + 1. Let p(y) = -4*y - 1. Give 9*p(f) + 4*v(f).\nAnswer: -4*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582732 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*n*t**3 + 289032*n*t**2 + 7264012*t**3 wrt n.\nAnswer: -79*t**3 + 289032*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4.64 * 34\nAnswer: -157.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5306 - -11486. Suppose 8 + 4 = k. Let s be (-1000)\/k*t\/1. What is s rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 1, l: 4, g: 2}. Give prob of sequence ks.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 3*c = -21*i - 14, 0 = -5*i - 2*c - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -987335*p**2 - 110540 wrt p.\nAnswer: -1974670*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -862*r + 8624. Let d be c(10). Let b(u) = -3 - u**3 + 2*u**2 - 3*u**2 + 4*u**2 + u. Determine b(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.9387kg in grams?\nAnswer: 87938.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -3 - (1 - 3))*-3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-144))\/(2\/(-24)) + 2. Suppose 0 = f*d + 3*t - 215, -8*d + 3*t + 199 = -4*d. What is the highest common factor of d and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let o(p) = -2*p**3 + 2*p**2 - 2. What is -4*m(t) + o(t)?\nAnswer: -2*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let v(u) = -u - 3. Let b(o) = o - 11. Let k(f) = f - 21. Let d(x) = -5*b(x) + 3*k(x). Let z(t) = 3*d(t) - 8*v(t). Calculate r(z(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 64 - 163 = 0. What is the highest common factor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301781 * 0.4\nAnswer: -120712.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**5\/10 + a**4\/2 + a**3 + a**2 + a + 1. Let p(m) be the first derivative of d(m). Factor p(o).\nAnswer: 2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 17*p = -16*p - 37 - 13, 90 = 8*i - 2*p - p for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 432 - 432.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11668439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 966391.4kg?\nAnswer: 966391400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.7 - 26. Let q = 4.89 + 0.11. What is the second biggest value in q, -1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.37 (b) -4 (c) 5\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {n: 1, x: 2, j: 1, f: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**4 + 4*y**3 - 28*y - 270. Let t(f) = 7*f**4 + 5*f**3 - 28*f - 271. Let k(u) = 5*o(u) - 4*t(u). What is the derivative of k(c) wrt c?\nAnswer: 8*c**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11\/9 (b) 34 (c) -2 (d) 6\/11 (e) 0 (f) 2 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 710817 and 4.142.\nAnswer: 710821.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4 - 4 + 13*k - 3*k. Let i(n) be the first derivative of 2*n**3\/3 - 2. Calculate i(l(j)).\nAnswer: 200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111315 (base 6) in base 5?\nAnswer: -300112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 16. Let h be ((-15)\/9)\/((-1)\/3). Let b be s(h). Let z(f) = f - 1. Let i be z(2). Sort b, 2, i.\nAnswer: b, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*t - 71 - 84 = 0, 0 = u - 4*t + 46 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 6 + -25 + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 4:21 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -12\/11, 1, -10?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -11. Suppose 0 = 5*y + 4*s - 36, -3*s + 24 = 3*y - 0*s. Let b(g) = -3*g**2 - 34*g + 360. Let p be b(-18). Solve o + l - y = p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 5)*(3*w - 2*w - 3*w) - 19*w + 194 - 16*w + 37*w)*(4*w**3 - 3*w**3 - 3*w**3) to v*w**2 + u*w + b*w**3 + n + x*w**4 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 5 - (-5)\/(-3)*3. Suppose -5 + 21 = -4*r. Let u(a) = -a**2 - 7*a + 1. Let k be u(-7). Sort k, p, r.\nAnswer: r, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-44)\/10)\/(-11))\/(-4)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 127 (c) 0 (d) 0.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 1258?\nAnswer: -19\/1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 + 4 = 0. Suppose 4*x - 3*m = 81, m - 84 = -s*x + 5*m. Suppose a - x = -3. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2374 + 2378. Suppose -2*j + 32 = -3*k, -k = 4*j - 1 + 7. Let o = -6 - k. Calculate the least common multiple of h and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -13.35.\nAnswer: 17.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**2 + 2*t - 3. Let l(b) = -44*b**2 - 9*b + 13. What is 9*k(j) + 2*l(j)?\nAnswer: 11*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, i: 1, h: 2, b: 2, p: 4}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 51\/(-15)) + 129\/15. Suppose 0 = -21*n + 17*n + s. Let r(j) = -2*j**3 + 2*j - 1. Give r(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56607 is divided by 2021.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3 + 1640*p**2 - 303388*p - 2532576 = 0.\nAnswer: -8, 222, 1426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/6)\/(-5))\/((-812)\/62524).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:07 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16340029?\nAnswer: 739, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 3. Let y be j(3). Solve -8*m = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 19 - 19 - 7*z**4 + 43*z**4 + 2*z**3 to the form s*z**2 + u*z**4 + f*z**3 + b*z + k and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-32) + (-4 - (-45)\/40).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -20664401.\nAnswer: -103322005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsg when three letters picked without replacement from swswgwwgw.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*t - 0*p - 4*p, -2*p = 10. Let x be (t + 6)*(2 - 1). Suppose -21 = -x*w - 0*i + 3*i, -3*w = 3*i. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6 + 3*q**2 - 3*q**2 - 2*q - 3*q**2. What are the prime factors of p(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(66)\/sqrt(11)*6*2)\/(sqrt(300)*1*3) + -1))**2.\nAnswer: -64*sqrt(2)\/5 + 528\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-116)\/18009)\/(88\/(-528))?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 51. Suppose 21*t + 15 + 148 = -68. Determine z(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 1\/8 (c) -4 (d) 92 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143004 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 738*a + 1. Let m(i) = i**2 + 8*i - 1. Give -2*m(j) - y(j).\nAnswer: -6*j**2 + 722*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8147248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 + 97 = -28*i - 320 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 75.59 * -0.1\nAnswer: -7.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -527\/5*a + 1\/10*a**2 + 277729\/10.\nAnswer: (a - 527)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 98045948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54*(-9)\/(468\/(-2314)). Round k to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*c*l*r**2 - c*l - c*r**2 - 5*c*r - 2*c + 88*l*r**2 + 2*r**2 + 13*r wrt r.\nAnswer: -30*c*l - 2*c + 176*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1769*t + 1199 + 1051*t + 930*t - 647*t + 311*t wrt t.\nAnswer: 3414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*s - 55 = 0, 72 = 3*h - 5*s - 23. Suppose 5*m = 18 + 52. Calculate the remainder when h is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44912 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/12 - 66742\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*j - 3 + 3)*(-21 + 21 + 4*j**2) + (3*j**2 - 3*j**2 - 3*j**2)*(0*j + 0*j - 2*j) + j**3 + 0*j**3 + 0*j**3 to a*j**3 + l*j**2 + s + t*j and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -1305*l**4\/4 + 120*l**3 - 1505*l. What is the second derivative of m(y) wrt y?\nAnswer: -7830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmyppppppmyppp. Give prob of picking 1 y, 1 m, and 1 p.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 7*p - 6. Let y = 10 + -5. Let r(d) = -3*d**2 + 11*d - 9. Let h(u) = y*r(u) - 8*b(u). Give h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -1, -5\/3, 0.11 in ascending order.\nAnswer: -5\/3, -1, 0.11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 4. Let k(s) = 4*s + 8. Let p be k(c). Suppose h + p = 3*h. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.5 (c) 2\/11 (d) -0.2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1731 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 - -342. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 greater than 15815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2740 and 56\/681.\nAnswer: 1865940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334\/3 + 12346\/111. Let k be (-1)\/((-15)\/(-21) - (-4)\/14). Is z bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4 - 8 + 354*k**2 + 6*k - 6.\nAnswer: 354*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2754 - 2754.1. Sort 50, 1, -2, p, 0 in decreasing order.\nAnswer: 50, 1, 0, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-8)*(-2)\/(-5). Let x = -8 - -4. Let u = 7 + x. Which is the third smallest value? (a) s (b) 1\/8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166.08395 + -0.00395. Let w = u + -164. Round w to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - l + 1. Let x(c) = 8*c**2 - 7*c. Determine x(a) - 6*y(a).\nAnswer: 2*a**2 - a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*b**2 - 633*b**2 + 368*b**2 - 2947*b**2.\nAnswer: -3292*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 100. Suppose 4*t - u = 0, a = -3*a - 4*t + 228. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3622475.\nAnswer: 5, 144899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/50 and 71\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-114)\/(-8))\/(10\/280). What is the common denominator of 43\/10 and i\/(-90) + (-2)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -90024637 and -380005.\nAnswer: -90404642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/11 - 42*u**4\/11 + 304*u**3\/11 - 840*u**2\/11 + 576*u\/11 = 0.\nAnswer: 0, 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 + 2*b**4 - 2*b + 2*b**3 + (3 + 0 - 1)*(-b**2 + b**2 - b**4) + b**2 - b**2 - 2*b**4.\nAnswer: -2*b**4 + 2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 + 7 = 0. Suppose -4 = -k*o - 0*o, -4*l = -2*o + 24. Let t = 0 - l. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-44 - -4) + 19.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from zicziii.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa89 (base 11) to base 4.\nAnswer: -3210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*k - 44 = 0, -4*k - 92 = 3*s - 7*s. Let t = -140 + 258. Let y = t - 46. Calculate the greatest common divisor of y and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2792366717879 and 134.\nAnswer: 2792366718013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)\/(a\/a**(-5)))**(-7\/6)\/((a**1)**(-24)*a\/a**4*a**(-2)) assuming a is positive.\nAnswer: a**(1303\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120649)\/94*132\/(-1122).\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6008901.\nAnswer: 3, 2002967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d, -5*d - 33 = -i - 3*i. Suppose 5*o - 4*g = -7, 0 = -o - 2*g - 5 - 2. Let m = o + i. Calculate the smallest common multiple of 8 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52\/23 (b) -0.3 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3524 or 2747?\nAnswer: 2747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-86)\/(-18) - (-2)\/9. Suppose 5*f + j*h - 95 = 0, -3*f = -2*f + 4*h - 34. Calculate the remainder when f is divided by ((-480)\/(-400))\/(3\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, 435, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooxbobbbovo. What is prob of sequence bbb?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -48142.56 to the nearest 10.\nAnswer: -48140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*n - 2*v, -25*n + 20*n + v = 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55476 is divided by 534?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 1. Let t be m(6). Let w be (-2)\/t + 216\/52. Solve -c - 3*v - 5 = 3, 0 = 3*c - w*v + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1641 + 108*q**2 + 3285 - 1645.\nAnswer: 108*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1188835475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-26)*61\/(-1281).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(4*(-6)\/(-8)). Suppose -b + 6 = z. What is the third derivative of -2 - 9*j**4 + 7 - 19*j**2 - z wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 14. Calculate the remainder when f(-7) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(121) - (sqrt(121) - (sqrt(121) - sqrt(121)*1)))*4*-3)\/(sqrt(77)\/(sqrt(175) + sqrt(7)) + (2*sqrt(539) - sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 193*h**5\/10 - 7*h**4\/2 - h**3\/6 - 52*h + 2. Find the third derivative of d(o) wrt o.\nAnswer: 2316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 848 divide 653183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894446448 a multiple of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)*(-5 + 1) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 12\/5 (c) -153 (d) 2\/11 (e) -3\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1120 - 604. Suppose -x - 3*x = p. What is the units digit of 5\/25 + x\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 7. Suppose 0*q = 2*l + q - 4, -4*l - q = -8. Suppose -l*a - 25 = 3*a. Give x(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*q - 0*o - 19, 5*q - 5*o = -5. Suppose x + 8 = q. Is -6 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120415*l**3 + 146*l**2 + 5*l - 6 wrt l.\nAnswer: -722490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407639015 to the power of 1\/3, to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 880\/(-1386) + (-18)\/(-21). What is the closest to b in 0.2, -2\/5, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/159304 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + 114\/42. Suppose 5*v + 4 = 9*v, 11 = t*q - 4*v. Suppose 40 = 4*u + q*i, 5*u + 4*i - 40 = u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(3564) + sqrt(3564)*-2 + sqrt(44))) + sqrt(3564) + sqrt(3564)*-3)\/((sqrt(32)*1)\/sqrt(8)*4*3) + 0.\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 1:11 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-90)*63\/14 - -2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1539 and 19076?\nAnswer: 1545156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 + -191. Let b(s) = 2*s**3 - 2*s**2 - 2*s + 2. Calculate b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {i: 2, g: 2, l: 1, s: 2, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(5\/7))\/t)\/(t\/t**(1\/3)))**(8\/3) assuming t is positive.\nAnswer: t**(-232\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/2 of a decade?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-44))\/((-5)\/(-20)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)*p**(-13))\/(((p*p**14)\/p)\/p**(-5)) assuming p is positive.\nAnswer: p**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by -3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*c + 31, 2*c = 3*m + 4*c - 11. Suppose 14 = -i - i. Let x(n) = n + 12. Let j be x(i). Calculate the highest common factor of j and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4775221*q - 23876081. Calculate h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Let g(u) = u + 4. Let s be g(-2). Suppose -4*b + 84 = 2*t, f*b - 4*t - 79 = -s*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3) + -2*sqrt(432) - sqrt(3)).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 greater than 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 570 + -554. What is the least common multiple of i and 27?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 5, 541, 1 in increasing order.\nAnswer: -4, -1, 1, 5, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -88*x + 1403. Give k(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 65) + 92 + -52?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4615\/2 - 9229\/4. Let w(x) be the first derivative of 4\/3*x**3 + 4*x**2 - r*x**4 - 21 - 5*x. Calculate w(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 9:54 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2. Let y(o) = 17042*o. Give y(i(u)).\nAnswer: -34084*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1998051 - 3788304803\/1896. What is the common denominator of h and 139\/60?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 46 = 59. Solve 2*z - k*z + 27 = 5*u, 0 = -z + 5*u - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-310)\/(-744)*(-12)\/20. Let o = 5.01 + -0.01. What is the closest to n in -2, -4, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1282455707 or -1282455706?\nAnswer: -1282455706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1911 + 3727\/2. Let y = -13189\/597 + -48\/199. What is the common denominator of y and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 233*b**3 - 8*b**2 + b - 13. List the prime factors of p(3).\nAnswer: 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, v: 4, q: 4}. Give prob of picking 2 i.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12 - -21) + 27 - 68) + -9 + 1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 40 = -4*d + 11*b, d + b = 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8075, 8078, 8083, 8090, 8099, 8110, 8123?\n\"Answer: k**2 + 8074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(108) + 2.\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1\/23, 2\/15, -3\/7, -0.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441 - 2*n**2 + 4*n - 4*n.\nAnswer: -2*n**2 + 441","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 165, 106, -27, -258?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13970, 13827, 13684, 13541, 13398?\n\"Answer: -143*a + 14113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 63, -2 in increasing order.\nAnswer: -2, 47, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 24 = 34*f. Suppose -f*c + 88 = 28. Let l(j) = j**3 - 5*j**2 - 2*j - 3. Calculate l(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -734\/3, 8, -65, -1\/9, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3025 - 1982. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = 4*i, 0 = -0*r + r - i - 7. Suppose 3*w + 64 = 5*g, w + 0 = -5*g + 52. What is the smallest common multiple of r and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111110010100101 (base 2) to base 7.\nAnswer: -5002046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 7*o**2 + 4*o + 14. Let y be p(6). What is the common denominator of 47\/19 and (-44 - -45)\/(y + (-65)\/33)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877580 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjjqqq. What is prob of sequence jj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2000) + sqrt(20))\/(5*sqrt(810)).\nAnswer: -13*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 741726 - 9?\nAnswer: 74171a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 + 0 + -2 - (85 + -82) - -33.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.4 (c) 17 (d) 0 (e) 1\/7 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.3 in 2\/5, -0.3, -1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3981978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 945*i**3*x**2 + 987*x**2 wrt i.\nAnswer: 2835*i**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(7\/2)\/(w**10\/w) assuming w is positive.\nAnswer: w**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**4\/12 - 150*n**2 + 9*n. Let f(p) be the first derivative of -p**2\/2 + 59*p + 4. Determine i(f(a)).\nAnswer: 2*a - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22204, -44394, -66568, -88720, -110844, -132934, -154984, -176988?\n\"Answer: c**3 + 2*c**2 - 22203*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2861*o - 2860*o - w - 8439 = 0, -2*o - 5*w = -16934. What is the remainder when o is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4524537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 5620 = 5500 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -9 (c) -5\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1550613, -3101193, -4651773, -6202353, -7752933, -9303513?\nAnswer: -10854093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862037?\nAnswer: 11, 78367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.32 - 0.02. Let c be 29\/(-9) + 8\/36. Let h be (-5)\/(-2 - -12)*c. Put -0.4, h, n in decreasing order.\nAnswer: h, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from {c: 4, k: 6, n: 2, s: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18005 and 1935635.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -o + 3, 31*o + i = 26*o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 1\/4 (c) -2\/113 (d) 30\/13 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 4*u - 9*u - 2 + (1 - 3 + 3)*(-4*u + 3*u - 2*u) + 0*u + 2*u - 3*u - u + 2*u + u - u - 6*u + 2*u.\nAnswer: -16*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47515*o + 47491*o + 192 = 0. Solve 4*h = 3*y + 17, 3*h + 9*y = o*y + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 198 = -2*a, -4*r + 275 = 4*a - 97. Let h(q) = 16*q + 110 - 205 + r. Let v(c) = -6*c**2. What is h(v(k))?\nAnswer: -96*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -47404468.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28196 (base 10) to base 11.\nAnswer: -1a203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:35 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5118 + 78.\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2196 - 1338. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, 4\/27 in decreasing order.\nAnswer: 25, 4\/27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r**2 + 3*r)*(4*r - 4*r - r) + 0*r + 0*r + r**3 - 24*r**2 + 24*r**2 + 13*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*x**2 - 152*x**2 - 56*x**2 - x + 368*x**2 - 54*x**2.\nAnswer: 35*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 + 0 + 9. Let q be -4 - -6 - y - 3. Let p(o) = -o**3 - 14*o**2 - 15*o + 6. Is 16 a factor of p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 3330?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/7 + 60831*q\/7 - 60852.\nAnswer: 3*(q - 7)*(q + 20284)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -29, -62, -109, -176, -269, -394, -557?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 49*a - 275. Calculate x(37).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-22)*(-16)\/(-6)*5945\/(-820).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:48 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5186 or 15556\/3?\nAnswer: 5186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1 - o**2 - 1. Suppose -313*h + 317*h - 96 = 0. Let d(w) = -5*w**2 - h - 22 + 46. What is d(j(a))?\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12593445 is divided by 1512?\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4217147 to the power of 1\/2, to the nearest integer?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-35))\/(((-315)\/975)\/(-21)).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -5 + 4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5428639 microseconds?\nAnswer: 0.0000005428639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, 3, -5, 2, 884, 42\/397 in decreasing order.\nAnswer: 884, 5, 3, 2, 0.5, 42\/397, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0*s**3 + 146*s + 7 - 73*s - 11*s**2 - 6 - s**3 - 82*s. Calculate a(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.8148 (c) -0.67 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 3*g**2 - g**2)*(2*g - 6*g + 3*g) + 54*g**3 - 54 - 323*g**3 + 22*g**2 - 61 + 115.\nAnswer: -268*g**3 + 22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5983739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let w(j) = -3*j**2. Let t be w(v). Sort -5, t, 0 in decreasing order.\nAnswer: 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 5. What is the remainder when 9 is divided by v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/3 - 28282*p**2\/3 + 2274752*p\/3 - 8646368\/3 = 0.\nAnswer: -14221, 4, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17944171 a multiple of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2093\/28 + 5*(-9)\/(-180))\/(-54 - -53)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 170 and -4.402348.\nAnswer: 165.597652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - v - v)*(5*v**4 - 2*v**4 - 2*v**4) + v + v**5 - v)*(4 + 1 - 3)*(0 - 1 + 5).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7 - -14.3. Let n = c - 19.2. Let q = n - -1.8. Put 0.2, -3, q in increasing order.\nAnswer: -3, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 - (-3 + 4))) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*4 + -3)**2*4.\nAnswer: -96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 + 0.02. Let v be (-10)\/(-30) - (-2)\/(-24). Which is the nearest to v? (a) j (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1925218 is divided by 1908?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 550015 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132312231 (base 4) in base 3?\nAnswer: 20102100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5332098?\nAnswer: 2, 3, 888683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 201.8442 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 526 = 4*u + 4*o, -2*u - o + 200 = 0. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 l, and 1 n when four letters picked without replacement from {j: 2, n: 5, l: 11, t: 2}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -6*i. Let y = -0.5 + 0.3. Let o = 3 - 4. What is the nearest to o in 0, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 8*r**2 + r + 8. Let g be x(-8). Let w be (-8)\/4 + (g - -2). Let l be 4\/6 + -8*7\/(-6). Solve w*j = 2*j + l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdz when three letters picked without replacement from gdgppkdpdddgzp?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - 11*d)*(-3 + 3*d**2 + 3)*(2*d**2 - d**2 + d**2).\nAnswer: -66*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 73*q**2 + 74*q + 146. Let f be d(-72). Solve -4*w + 5*o + 39 - f = 0, -2*w = 3*o + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(20))\/sqrt(10) - -4*sqrt(2)*-1)**2 + 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5639 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - 29.68. Let v = i + 24.5. What is the nearest to -2\/49 in 0.5, -3\/5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542 - -102?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 8\/(64\/10)*(11 + -6 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055283 * 1.4\nAnswer: 0.0773962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = 3*m + 23, -3*m + 26 = 4*a. Let h(t) = 7 + 2*t**2 - 3*t**2 + 5*t + 0*t**2. What is the units digit of h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2094 + 2075 + 2 + -2 + 55\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 13220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -179, -360, -541, -722?\n\"Answer: -181*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 8.2, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -64, -60, -56?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by 95\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70.427781 and -4.\nAnswer: 281.711124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 383*q**2 - 71622*q + 191. Give w(187).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdz when three letters picked without replacement from dwhhdzzy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 8 - -2 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83026 is divided by 27660?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 3*r**2 - r + 1. Let y be u(-3). What is the first derivative of -4 + 4 - 248*n**y + 247*n**4 - 5 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 40*q + 58. Calculate the least common multiple of a(-1) and 5288.\nAnswer: 47592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -94, -201, -342, -511, -702?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 98*t**5\/9 - 287*t**4\/18 + 4*t**3\/9 + 44*t**2\/9 - 16*t\/9 + 49. What is g in p(g) = 0?\nAnswer: -2\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.057, 0.2, -154, 4, 10, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37872390337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15676611 + h**2 - 31353169 - 2*h**2 + 15676558.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394054 is divided by 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*v - 30. Let t = v - 6. Solve 1 = -i - w, t*w + w = -2*i + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 25*n**2 - 24*n - 49. Determine r(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2032 - -3127. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2, 2\/3, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 24. Suppose -k*i + 15 = -i. Let d(t) = 4445*t**2 - 3*t + 4. Let b be d(i). What is b rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((24\/18)\/(-2))\/((-1)\/9). Suppose -8*z = h + 2. Let k(i) = -6*i + 1. Calculate k(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 208 - 40 = 0. Let n(h) = -h - 23*h**2 + w*h**2 - 23 - 4*h. Let y be n(8). Solve -k + 3 = -y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28221074 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5\/2 - 405*f**4 + 26100*f**3 + 166440*f**2 + 339480*f + 228528.\nAnswer: 3*(f - 138)**2*(f + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 82861?\nAnswer: 145\/82861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565238 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = 6. Let h = 9 + p. Let a(i) = -i - 2. Let b(v) = 3*v + 5. Let l(q) = 11*a(q) + 4*b(q). Determine l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 q when four letters picked without replacement from {z: 6, q: 7, n: 4}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1527 + 703. Let c = m - -445. What is c rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7574*v + 52533. What is u(7)?\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166 - 62. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -6. Let z = o + 2. Let t be 3*(16\/(-14) + 1). Sort 1, t, z in descending order.\nAnswer: 1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/4 - 5*x**3\/6 - 3*x**2\/2 - 301*x. Suppose -j + 24 = -4*j. Let a(h) = -9*h**2 - 14*h - 8. Give j*g(z) + 3*a(z).\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1905169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292971395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + f + 153, 5*m = -8*f + 5*f + 161. Calculate the remainder when -1*13*(5 - 24) is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*a - 2. Let i(t) = -a - 7 - 3 - 109*t - 3. Is i(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038122541 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 = -2*w - 21, -j - 18 = 4*w. Suppose 0*z + 8 = -2*z. Is (z\/j)\/(2\/52) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2072842409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -37, -87, -167, -283, -441, -647?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -44*o**2. Let w(u) = 320*u + 336*u + 349*u - 1055*u. Give w(t(r)).\nAnswer: 2200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvb when three letters picked without replacement from {r: 3, l: 3, b: 3, v: 3}?\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 1, z: 2, w: 1}. Give prob of picking 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d. Let j = -1171 - -1169. Let g be 112\/(-6) - 4\/(-6). Let l be 0 + g\/3*j\/4. What is y(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 1 = -2*k - 5, 4*g - 5 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13692 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, o: 3, p: 4, b: 6}. What is prob of sequence ozz?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*v + 419*v = -1519. What is the common denominator of 73\/1690 and v?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o**2 + 2295*o + 460. What is n(164)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 24 + 24 = 0. Let t = -2.814 + -0.186. Which is the smallest value? (a) 0.2 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = -5, 3*z + 245 = -2*q. Let n = 811 - q. What are the prime factors of n?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*l - 142*l = 36. Let w(m) = 32*m**3 + 17*m**2. Let f(o) = -4*o**3 - 2*o**2. Calculate l*w(h) + 51*f(h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15259.8 - -15260. Suppose -9 = -3*w, -x + 2*w = w + 4. Which is the closest to n? (a) -0.11 (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9312 and 612.\nAnswer: 474912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, f: 4, b: 5, z: 1}. What is prob of picking 1 z, 1 b, and 2 f?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 19*z + 38. Let u be g(17). Suppose -u - 496 = -4*i. Calculate the remainder when i is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*j - 38 = -122*j. Solve -79 = 39*h + j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137083 is divided by 1925.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 24236422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 452487*f**3 + 1168933*f.\nAnswer: 2714922*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, x: 2, u: 4}. What is prob of sequence unx?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 180 = -4*r, -135 = -3*g - 3*r. Let b be 1\/8*-2 - 42\/(-8). Suppose -25 = -b*x + g. What is the lowest common multiple of 4 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5 - 45. Suppose -i = -0*z - 5*z. Suppose -5*s + 17 = -z*b - 74, 4*b = 2*s - 46. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1877\/3 - 623. Let d(c) be the first derivative of 0*c**2 + 8 + c + j*c**3. Differentiate d(h) with respect to h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 - q**3 - 2*q + 4942 + 2*q**3 - 4944. Let z(x) = -4*x**3 + 15*x**2 + 7*x + 6. Let g(f) = -3*f + 1. Let a be g(1). What is a*z(h) - 7*t(h)?\nAnswer: h**3 + 5*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and -0.3035.\nAnswer: -1.12295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-30 - (-1081)\/188).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u + 5. Suppose d + 10 = u*k, -2*d - 3*k = -2*k + 6. Let v(w) be the third derivative of w**5\/60 + w**4\/6 + w**3 - 2*w**2. Give v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k - 2. What is m(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f + 5. Let o be c(0). Solve -14 = 5*x - 3*h, 3*h = -x + o*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -20 + 48. Suppose x*b = 253 - 1. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.82 + -8. Let y = -141.34 - -139. Let r = y - -2.44. Which is the nearest to 0? (a) f (b) -1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*x - 190010 = 4*w, 3*x = -4*w - 760006. What is w rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5*r = 15, -l + r + 373 = 374 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 - 927*f**4 - 2*f**3 + 2614925*f**2.\nAnswer: -120*f**3 - 22248*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 7:39 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1341 - 1336. Sort l, -53, -3 in descending order.\nAnswer: l, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1097*t - 51 - 1097*t - 9*t**2 to b*t + a*t**2 + f and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/80)\/((-2)\/(-12))*(-9220)\/60852\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:36 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 8 = q + 29, 0 = 5*q - 5*p + 30. Let f(c) = -149*c**3 + c**2 + 2*c. Let d be f(q). Let i = d - 20. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -1\/12*d**4 + 0*d**3 + 0*d**2 - 30*d + 0. Let r(i) be the second derivative of i**3\/6 - i. Determine w(r(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287.379 - -1085.9.\nAnswer: 798.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/30*10\/16 - (-21)\/6.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) 2.859 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 4\/3*l**3 + 2*l - 3 + 2*l**2 - 1\/4*l**4. Let w be u(5). Let d(s) = -2*s**3 - 5*s**2 - s + 3. Give d(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*z - 169*z + 333*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -57\/25, 0.2, 4, 16, 91?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 2.63599.\nAnswer: 0.1317995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 331 - 11. Suppose -b = 3*b - w. Solve -i = -6*i - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 31. Let o be f(12). Suppose 22 = -u - 5*x, -o - 8 = 3*x. Suppose l = -3*k + 10, 0 = k + u*l - 1 - 13. Sort 4, k, 7 in decreasing order.\nAnswer: 7, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466011 is divided by 155337.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-75))\/(11\/(-220)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29973 divided by -2?\nAnswer: 29973\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77445, 154870, 232295?\nAnswer: 309720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 94*x**3\/3 + 1693*x. Let p(w) be the second derivative of -w**4\/6 - 2*w. What is c(p(s))?\nAnswer: -376*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 24*v**2 + 3*v**2 + 19*v**2 + 5*v**3 + 2 + 2*v**3 to the form i*v**3 + d*v**2 + h + y*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227388.\nAnswer: 2, 3, 7, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**4 + 690*f**3 + 14643*f**2 - 3221412*f + 3206076 = 0?\nAnswer: -142, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 324\/(-1728)*4\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 736, 1546, 2640, 3994, 5584?\nAnswer: 7386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/18 + 2*u**4\/9 - 4*u**3\/9 - 10*u**2. Factor m(c).\nAnswer: 2*(c + 2)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11861*s - 11886*s + 4950. What is the closest to s in 2\/5, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8870023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*186.\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)\/(-1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 88, -110, -5?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 + i**4\/12 - 15*i**2\/2 + 14*i + 9. Determine l(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = -5*x - 28, 4*x + 16 = 0. Let s be (q - 0)*(-9)\/6. Solve -s*o + 6*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/15984 and 157\/452880.\nAnswer: 1358640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2285 divided by 1\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, n: 1, x: 1, a: 1, g: 2, q: 3}. What is prob of picking 2 g?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-7)\/(-5))*-30. Let c(a) be the first derivative of a**4\/4 - 34*a**3\/3 + 31*a**2 + 66*a - 168. Let s be c(32). Solve -s*g = b - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4467487\/25 or -178698?\nAnswer: -4467487\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 2.354\nAnswer: 2.5894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 145\/3. Let b = -0.8 + 0.6. Let v = b - 4.8. Put s, v, 2 in descending order.\nAnswer: 2, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -121*j*t*v**2 - 6709*j - 852*t*v**3 - 4*t wrt v?\nAnswer: -242*j*t*v - 2556*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/264 and 19\/2178.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8309, 16597, 24881, 33161, 41437, 49709, 57977?\nAnswer: 66241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/((-147)\/(-28))*114\/20. Which is the second biggest value? (a) k (b) -5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 28*l - 1. Let p(g) = 14*g. Let n(t) = -29*t**2 - 436*t - 6. Let b be n(-15). What is b*p(z) - 4*f(z)?\nAnswer: 14*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 + 2*f + 1. Let z be g(-1). What is the second derivative of -s**5 + z*s**5 - s + 0*s**5 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520859328 a multiple of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(139\/(-6116)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/sqrt(9)*-6 + -3.\nAnswer: -6*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddzdddzzdddz. Give prob of picking 2 d.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(143) + sqrt(143))*-1)\/(sqrt(22)\/sqrt(2)*3) - ((-6*sqrt(52)*2)\/(((sqrt(4) - sqrt(16)\/sqrt(4)) + sqrt(4))*-6))**2.\nAnswer: -52 - 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6184.913 millennia?\nAnswer: 61849.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Suppose 4*b = 3 + 17. Let h(a) = -b*a + 9*a - a. What is c(h(u))?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:26 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2 - h - 11. Let t(m) be the second derivative of 5\/2*m**2 + 89*m + 0 + 1\/3*m**4 + 0*m**3. Give 7*t(j) + 3*z(j).\nAnswer: j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 454 and 45173?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/109 greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 2, 0, 0.2, -14, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 75830000 to the nearest 1000000.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010010 (base 2) in base 5?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1661146734 and 3198.\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*p**5 + 3*m**2 + 41*m*p + 101740*p**6 + 9*p**2 - 6*p wrt p.\nAnswer: 120*m**2*p**2 + 12208800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2934 + -1398. Let c(d) be the second derivative of 0 - 24*d**5 - 160*d**4 - m*d**2 - 2*d**6 - 3*d - 640*d**3 - 1\/14*d**7. Factor c(a).\nAnswer: -3*(a + 4)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -188.11 + 187.71. Which is the closest to -4.3? (a) -12 (b) 3 (c) p (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.13 - 2.53. What is n rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044178181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + 0.3. Let k = v - 2. Let b be (-1 - 3) + 60\/14. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8405535*a**4 - 4746677?\nAnswer: -33622140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 88, 113, 116, 91, 32, -67?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m - 3*m)*(-1 - 1 + 1)*((-5 + 4 + 0)*(4 - 3 + 3) - 2 - 2 + 7)*(0 - 2*m + 0).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3720 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-4)*39\/5. Let f(p) = -p**2 - 8*p - 2. Let o be f(-6). Let g = i - o. Which is the smallest value? (a) -4 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 735 - 735.078. Put l, 0, -0.03 in descending order.\nAnswer: 0, -0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -7298?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b72c (base 14) in base 2?\nAnswer: 101101001110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 213421665 and 2.\nAnswer: 213421667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 17. Let k be c(-5). Let n(t) = 2*t - 3. What is n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18777.\nAnswer: 3, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 19 - 11. Let u be 3\/n - 42\/(-4). Suppose -5*o + 84 = 4*r, -3*o + r = -0*r - 64. What is the greatest common divisor of o and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/30 - 2\/(-6). What is the nearest to 2\/5 in c, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 9. Let z be q(11). Suppose 0*r = z*r + 5*m - 33, 5*m - 60 = -5*r. Let i be r\/2 - 6*6\/72. Which is the closest to -1\/3? (a) 2 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -17\/8 (c) 15.8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 6*q - 5. Let r be a(4). Solve r*i + 25 = -5*d, 0*d + 5*i = 4*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9661 rounded to the nearest one hundred?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281052 is divided by 28092.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, r: 17}. Give prob of sequence wlr.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101000321 (base 4) to base 5.\nAnswer: 123001402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2)\/4*7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*c - 25*c - 13*c + 16 - 9*c - 16 + (3 - 8 + 3)*(2*c - 7*c + c) as b*c + a and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 142?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*q = -2*j + 6, -2*j = -3*q - 9. Suppose 25 = -5*p, j*f - f = -4*p - 63. What is the smallest common multiple of f and 3?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-126)\/(-18) + (913 - -6).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1330.046 + 2.046. Let y = q + 1327.7612. Round y to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*l - 17*l**3 + 4441*l**2 - 4441*l**2 wrt l.\nAnswer: -102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.24205 micrometers in kilometers?\nAnswer: 0.00000002824205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let u = j + 2. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c + 11703 = -j, 5*c = j + 14629. Let d = c - 972. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1739*p + 934*p + 40095 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139462499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 25*n - 2. Let f be p(2). Suppose -f = -4*b - 16. Let c = -20 - -30. What is the lowest common multiple of b and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-30)*130\/(-364). What is the biggest value in -2\/5, 2\/7, -1, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - a**2 + 4*a**3 - 8*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35669524 to the power of 1\/2, to the nearest integer?\nAnswer: 5972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**4 + a**4 - 2*a**4 + (3*a - 3*a + 2*a**3)*(0 + 0 + a))*(6*a - 4*a - 3*a).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1835\/26 - -1470\/13. Let j be (-56719)\/(-6)*3\/(-9). Let w = -3143 - j. Calculate the common denominator of z and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1754 - -18?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 73. Let v = w - -28.6. Let u = 3\/16 + -69\/112. Put -1\/6, u, v in descending order.\nAnswer: -1\/6, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1749.87 to the nearest 10.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-1))*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.99832 - 36. What is i rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39725573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than 118\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 5. Let u(p) = -p + 4. Let g(a) = 2*c(a) + 3*u(a). What is the units digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44946, 179926, 404938, 719982, 1125058?\n\"Answer: 45016*r**2 - 68*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 11*g + 4*g**3 - g**2 + 5 + 21 + 12*g. Suppose 44 = 4*d + 44. Calculate b(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.03343 rounded to 2 dps?\nAnswer: -29.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 114163 (base 7) to base 8\nAnswer: 50302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.152 and -353?\nAnswer: 53.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 8, 0.07, 66\/5, 0.5 in decreasing order.\nAnswer: 66\/5, 8, 0.5, 0.07, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {x: 1, j: 1, t: 3, p: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -4. Suppose o - 3*o - f = 0. Let p = -3 - o. Solve p*r - 4 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11275533 + 105?\nAnswer: -11275427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8317?\nAnswer: 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2856768 + -3\nAnswer: 2856765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3459, 14286, 32483, 58050, 90987, 131294?\nAnswer: 178971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/154 - 909\/(-2121)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4871*y**2 + 995*y**2 - 23 + 46 - 23 in the form n*y**2 + f + d*y and give n.\nAnswer: 5866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -23. Suppose b*l = 2*l - 8. Sort 7, -1, l in descending order.\nAnswer: 7, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79699, 83240, 86783, 90328, 93875?\nAnswer: 97424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237480385 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s - 68. Suppose -25297 + 25397 = -25*a. Determine f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - p + 30 = 0, -4*p = 2*k - 2*p - 20. Let b(g) = 2 + 11*g + k - 12*g**2 + g**3 + 4. What is the units digit of b(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7*o + 9*o + 5837 = 0, 0 = -3*m - o + 5852. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 89 = -1118. Let d = b + 86437\/84. Is 0 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 9)*(-5 + 1). Let z be (-15)\/10*(c + 0). What is the remainder when 15 is divided by 42\/4 + z\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiihiiiwiiiii. What is prob of picking 1 h and 1 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -19*o + 304. Give c(20).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -9*m + 423. Let y = 8 + m. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101222202 (base 3) to base 7.\nAnswer: -32234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 11:46 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a + 49057 + 5663 = 0. Calculate the lowest common multiple of a and 34.\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 7*q + 7. Let p(z) = 2*z**2 + 6*z + 6. Let n = 60 - 65. Give n*p(s) + 4*w(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/11*((-13289)\/(-137))\/(-2910)?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2. Let o be z(2). Suppose 2*r + 3*r - 19 = -2*a, 4*r = -4*a + 8. Solve -2*d = r*q - 2*q - 5, -5*d - o = q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3 - 1. Suppose -s*r + 4*r = 3*f + 3, -3*r = -2*f - 7. Let x(p) = -12*p. Give x(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4843726 + 101697613\/21. Let r = m - -983. Is -1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 5*g - 10 = f, -3*g = f - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 + 10e?\nAnswer: f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*y + 20 = -39, 0 = j - 3*y + 15. Let c = -6 - j. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:09 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/5 (b) 1.8 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 500548*m + 18523014.\nAnswer: -2*(m - 37)*(m + 250311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447870.\nAnswer: 2, 3, 5, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11010 by -2202.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5773*x - 8268*x + 11*x.\nAnswer: -14030*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196274896?\nAnswer: 2, 12267181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*b**2 - 34*b**2 - 148*b + 193*b - 8*b**2 wrt b?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - -880. Let t = r - 966.811. Round t to two decimal places.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180710 is divided by 2626.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:04 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -389\/3, -4, 77, 72.5 in ascending order.\nAnswer: -389\/3, -4, 72.5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2272*r**3 - r**2 - 7*r - 10. Let a be w(-5). Round a to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 120 = 5*h, l + 4 = 5*h - 4. Let x = 25 - 26. Let a = x - l. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -500.\nAnswer: 13\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 13*t**2 - 60*t + 87. Calculate m(-17).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018 = 10*o - 2222. Suppose o = 10*c - c. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/5 + 2108886\/285. What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*s = 0, 0*s + 4*s = 2*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/114*(-3)\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*c - 37, c + 3*l + 3*l = -83 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 3, f: 1, v: 2, i: 6}. What is prob of sequence fiim?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24222?\nAnswer: 2, 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28912 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -63, -4, -1\/13, 3, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-8)\/1 - -3. Let m be (z + 2)*(-11)\/(-22). Is -1.2 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.7. Let s be (-16)\/(-24) + 44\/(-30). Which is the second biggest value? (a) 1\/5 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*m = -282, -2*o + 2*m + 181 + 71 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 + -1.7. Let m = 77.8 + -77.9. What is the nearest to m in 0.2, w, -40?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(11\/(-132)*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 + 4)*(-k**4 + 3*k**2 - k**2 - k**4).\nAnswer: -18*k**4 + 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*b**2 + 19*b - 20*b**2 - 17*b + 5*b**2 to the form o*b**2 + t*b + p and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a**3 + 19*a**2 - 14*a + 16*a - 12*a**3 to h*a**3 + p*a + j + t*a**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = x, -5*o - 4 = 2*x - 17. Let g be (o\/(-1) - 0)\/4. Which is the closest to -0.1? (a) 4 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/7 + 245427\/(-277095)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98226 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127.9 - 128. Let n = -6 + 7. Let p(f) = -f**2 + 6*f + 13. Let h be p(7). What is the fourth biggest value in 1\/3, n, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -5, -5\/3, 2\/13, -0.084?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**2 + 14*c. Let m(b) = -6*b**2 - 8*b. Let n(z) = -4*i(z) - 7*m(z). Let a(f) = -79*f**2. What is n(a(y))?\nAnswer: -12482*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 = 593*v - 621*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(-93)\/434.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-420955138\nAnswer: -420955137.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(10944\/(-168))*12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*a - 806*a - 1489*a + 117*a - 444*a.\nAnswer: -2504*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43.6, -1, -2\/7, 20, -42, -1.1 in decreasing order.\nAnswer: 43.6, 20, -2\/7, -1, -1.1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**32\/(v\/(v**2*v*v)*v*v*v*v))\/(((v*v*v*v*v*v**(-5\/4)*v*v)\/v)\/v**(-1\/29)) assuming v is positive.\nAnswer: v**(3041\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.59 rounded to 0 dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*y + 192*y + 131*y - 2796 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 1)*(-3*m**2 - 2*m**2 + 4*m**2).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-83))\/(1640\/12*(-14)\/945) and 99\/14.\nAnswer: 47642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgjuuuttjj. What is prob of picking 2 u, 1 j, and 1 g?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2488, 2493, 2500, 2509?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1300.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:11 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1101*o**2 - 2*o**4 + 368*o**2 - 12 + 369*o**2 + 365*o**2 + 9*o + 2*o**3 to w*o + d*o**2 + f*o**3 + p*o**4 + i and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/42 + (60\/(-330) - (-769)\/(-308))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 68958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 140.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 155*b**3 - 504*b**3 - 63 - 14.\nAnswer: -659*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**4 - 125*f**3 - 575*f**2 + 19025*f + 39270 = 0?\nAnswer: -11, -2, 17, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -20, -13, -6?\n\"Answer: 7*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 4956 = 18*b. Suppose -5*r + 2*d = -3600, 3*r + b = 4*r + 2*d. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 60 = -4*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -41330*-2*3\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 - u**4\/2 - 12*u**3.\nAnswer: u**3*(u - 8)*(u + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-28))\/(5 - (3 - 56\/(-49))). Which is smaller: 3551 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28804 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1437\/26 + 54. Calculate the common denominator of (-735)\/(-56) - (0 - -4) and o.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21739.42 millilitres in litres?\nAnswer: 21.73942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*t + 83, d + 3*t - 65 = 5*d. Let a(c) = -7*c - 68. Give a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16634317?\nAnswer: 7, 2376331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908743270.\nAnswer: 2, 5, 41, 197, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 7. Let b be g(-6). Let j(t) be the third derivative of t**6\/120 - t**5\/12 - t**4\/24 - 7*t**3\/6 + 228*t**2 - 1. Calculate j(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 10:10 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + ((-72)\/10 - 2 - -4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -124718983.\nAnswer: -2\/124718983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 14 + -3*4\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/6, -249\/5 in decreasing order.\nAnswer: 1\/6, -1, -249\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/11, -4, 5.\nAnswer: -4, -0.3, -1\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8089 is divided by 2652?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = 2*t + 5*q, 0*q - 257 = -t + 4*q. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3\/7 + 93336*m**2\/7 - 4*m\/7 - 93336\/7 = 0.\nAnswer: -23334, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 5*i - 3. Let c be q(-6). Suppose y = -1 + c. Let r(x) = -x**y + 0*x**2 + 2*x**2. Let k(g) = g. Determine r(k(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = d, 0 = -4*w + 5*d - 6 - 1. Suppose -r = -4*l + 5975 - 28580, w*r = 2*l + 45222. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.4, 69, 2, 23 in decreasing order.\nAnswer: 69, 23, 2, 0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -0.2, 2\/3, -8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1587 and 28\/1081?\nAnswer: 74589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(51)\/(-1*sqrt(3))) + (sqrt(17) - (sqrt(17) + sqrt(68)*-1)) + (2 + sqrt(1377) + 0 - sqrt(1377)).\nAnswer: 2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/5))**(-3)*s**(4\/3)\/s**(4\/5))**(-6\/11))**(-36) assuming s is positive.\nAnswer: s**(1872\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897379 is divided by 556.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 1. Let t = -33 - -35. Let q be s(t). Are q and 19\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**2\/2 + 32. Let m(v) = 2*v**2. What is j(m(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**3\/6 + 3*b**2\/2 + 423*b - 2. Let m be 2\/(-3)*6\/4. Let o(i) = -i. Calculate m*z(a) + 3*o(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 758531?\nAnswer: 758543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5140 divided by 2570\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/20 + 5*r**4\/6 + 5*r**3\/6 + r**2\/2 + r. Let t(b) = -b**3 - 5*b**2 + b - 4. Let v be t(-5). Is g(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1452 divided by -3.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*n**3 + 271*n**3 + n**2 - 55 - 56 + 3*n**4 + 111 to the form o*n + q + u*n**4 + b*n**3 + l*n**2 and give b.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + p - 16 = 6*b, -4*b + 3*p = 0. Solve -c + 12 = -b*r, 2*c - 5*c = 5*r + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*n**2 + 48961331*n - 3 - 48961503*n.\nAnswer: 2*n**2 - 172*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 15*q + 2*q**3 + 34*q - 7*q to p + u*q**2 + r*q + a*q**3 and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6881 + 5119 = 125*o. What is the highest common divisor of 184 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368018 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.042, -3, -8, -28, 0.2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(3 + -1 + sqrt(931) + 5 + -5*sqrt(931) + 5))**2.\nAnswer: -67200*sqrt(19) + 1504000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 w, and 1 k when four letters picked without replacement from {k: 1, r: 3, u: 2, l: 1, w: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47474 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135623429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -458.6387 and 24.\nAnswer: -434.6387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16*(507\/24 + -21). Sort -3, 10135, b in ascending order.\nAnswer: -3, b, 10135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/10*10\/4. Suppose -y - w*y = -35. Suppose 5*k = -2*v + 1500006, -2*k - 1499985 = -y*k + 5*v. What is k 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 value of (-10 - -3 - 7) + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60840 and 925980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -8556 - 554. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4 - 8*j + 2*j**2 + 0 - j**2. Let z be f(6). Let i = z + 37. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185\/5 - (3 + (-4 - -1)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.76 + 41.06. Let c = d - 37. Suppose f + 17 = -4*w - 25, w - 3*f = -4. Sort 1\/3, w, c.\nAnswer: w, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -7 - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245549 + 367618. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwd when three letters picked without replacement from {d: 3, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4 - 4*s**3 + 3*s**2 - 6 + 11. Let g(m) = -2*m**3 + 2*m**2 + 5. Give -7*g(l) + 4*p(l).\nAnswer: -2*l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/60 - 7*i**4\/24 - i**3 + 15*i**2. Let a be v(-7). Let x(c) = -c**3 - 5*c**2 + 5*c - 2. Give x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.1. Which is the third biggest value? (a) -5 (b) 1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695, -904, -1241, -1700, -2275, -2960?\nAnswer: -3749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0 + 15. Suppose -3*y = -7 - 8, -b*u - y + 44 = 0. Let h = 19 - u. Is 2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-1)\/k)))**(6\/25)\/((k\/(((k\/k**(-1))\/k)\/k))\/k**2) assuming k is positive.\nAnswer: k**(13\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -8*m**2 + 2\/3*m**5 - 16\/3*m + 2*m**4 - 4\/3*m**3 + 0 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -273 - -420. Let d(j) = j**3 - 29*j**2 + 61*j + 56. Let y be d(27). What is the greatest common divisor of y and u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e (base 15) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.019*-2\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7760325, 15520645, 23280965, 31041285?\n\"Answer: 7760320*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times -526?\nAnswer: 142.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10832781343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(650\/30) - (-3 + (-205)\/(-50)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1378, 2724, 4070?\n\"Answer: 1346*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865479?\nAnswer: 3, 288493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -597?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 4}. Give prob of sequence dee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1092 and -39\/44?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 + 22122111201?\nAnswer: 22122121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6*t**2 - 18*t + 96. What is k(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4603*q + 16316*q - 4633*q - 4317*q - 3926*q.\nAnswer: -1163*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - 80\/(-14). Let g = m - 3. Suppose -3*v = -3*y, 4*y - 11 + g = -4*v. Solve 0 = -2*h - 7 + y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/60 - 5*j**4\/6 + 19*j**3\/6 - 14*j**2\/3 + 2*j - 23. Factor v(f).\nAnswer: (f - 28)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, o: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 41984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*s**4 - 48135*s**3 + 11*s**2 - 12822*s wrt s.\nAnswer: -840*s - 288810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57437\/13 - -4417. What is the third smallest value in 7, x, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -734, 0 in increasing order.\nAnswer: -734, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 - 7*d + 3. Does 11 divide o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.59 - -3.99. Let c = -1.6 + 7.6. What is the nearest to -0.1 in f, 0.5, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7372 and 36?\nAnswer: 66348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.033 + -3.053. Let m = 3 + l. Let f = m - -0.12. Which is the nearest to f? (a) 5 (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301020 (base 5) in base 4?\nAnswer: 2110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 27*i + 6726. Determine k(-117).\nAnswer: 3567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*s - 122, 2063*s - 5*r - 146 = 2060*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43632 divided by -14544?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2 - 1731*z - 1732. Calculate v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1046 + -605. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 13126 + 13058 = -14513 + 37785 for i.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 25 + 22 = 9. Solve -3*u = 2*i - 9, r*u + 4*i - 8*i - 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsssvvs. Give prob of picking 1 v and 3 s.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 = 17. Let h be ((-2)\/(-10))\/(d\/15). Sort -1\/5, 1\/5, h in descending order.\nAnswer: h, 1\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 357805 + -357725. Suppose -5*x = 3*p - 5 - 38, 4*p + 4*x - 60 = 0. What is the lowest common multiple of v and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5983 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 719574.9?\nAnswer: 3597874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12*2*0. Is (66\/8 - s)*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 3\/53 (b) 0 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {k: 1, f: 6, c: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a94a0 - -4?\nAnswer: 1a94a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(275) + -1 + 2 - (0 + sqrt(275) + 0) - ((sqrt(275) - (5 + sqrt(275) + 3)) + 1))**2*-4.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p + 198*p + 750 = 0. Let j = -109\/404 + 2\/101. Let y = 68 - 1294\/19. Which is the second biggest value? (a) j (b) p (c) y (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131698292?\nAnswer: 2, 11, 31, 96553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) -1\/144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 2. Let o be 7 + ((-4)\/6)\/(1\/3). Let x be p(o). Suppose -5*u = x*a - 240, -3 - 12 = -3*a. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 45200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19952 divided by 4988?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100419 - -171350. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - ((-9)\/12 + (-5)\/4). Solve -5*y + 3*q - 29 = -g, -4*q = -y - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b. Let s(l) = l**2. Let o(y) = -y**2. Let a(q) = -4*o(q) + s(q). Give a(x(c)).\nAnswer: 125*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*r - 3*g, r = 3*r - 3*g + 8. Let t = -9 - r. Let q = t + 7. Solve -h - q*h - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79873*g*p**4 + 1087100*g*p - 10*p**4 + 11*p**2 wrt p.\nAnswer: 1916952*g*p - 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/12)\/((3465\/(-24))\/7). Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 68 = -j + 5*j, -4*j - 83 = 5*v. Let o be ((-195)\/v)\/((-2)\/80). What is o rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/(10\/(-1455)). Suppose -4*n + h = -2*r, 5*r = 20 + 5. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/766 and -47\/18.\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 102.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 3879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*i**2 - 6\/13*i**3 + 0*i**4 + 0*i + 0 + 2\/13*i**5.\nAnswer: 2*i**2*(i - 2)*(i + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Solve 0 = -y + a*k - 4, -3*y + 0 = 2*k - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9488 + -9500. Which is the second smallest value? (a) -2\/5 (b) 2\/3 (c) -1 (d) -0.16 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124583*f + 1124575*f = -464 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - k - 1. Let f be h(-1). Suppose -20*w - 13*w - 21*w = 0. Suppose 8 = 3*u - z - 2, 6 = 4*u - 5*z. Sort 2, w, f, u in increasing order.\nAnswer: f, w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -6*sqrt(700)) + sqrt(700) + sqrt(700) + sqrt(308)\/sqrt(11)*-1 + sqrt(28))\/((5*(sqrt(24) - sqrt(600)))\/(sqrt(18)\/sqrt(27))).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173850, 173856, 173872, 173904, 173958, 174040?\nAnswer: 174156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 22 = -6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2468405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410 (base 10) to base 16.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183.431 - 0.431. Let m = 188 - x. What is the nearest to 0 in m, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 17) + -9 + -5 + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d - 2*d - 3*d + (2*d - 2 + 2)*(5 + 1 - 3).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14884, 14905, 14926, 14947?\nAnswer: 14968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*q + 8 = 0, -2*d + 2*q + 3 = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*77.3.\nAnswer: 13.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 79380\/(-5145) + (-4)\/7. Put -86, i, -2 in descending order.\nAnswer: -2, i, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6563449 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (623\/42 - 15)\/((-7)\/168 + 0). Determine v so that 4\/3*v + 1\/3*v**2 - u = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110 - 88) + 6 + (-1 - -2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52002594 * -9.\nAnswer: 468023346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24348.3778 times 0.4?\nAnswer: 9739.35112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*j - 18*j - 24*j)*(-3 + 0 + 6)*(-j - 4 + 4 + (2*j - 3*j - j)*(4 - 1 + 1)) to q + y*j + s*j**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 10*v**2 - 8*v + 6. Let a(n) = 16*n - 308. What is the remainder when a(26) is divided by y(11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j - 11*j - 60*j**2 - 44 - 12*j. Suppose -1101*w + 792 = -1092*w. Let t(n) = 4*n**2 + 3*n + 3. What is w*t(d) + 6*y(d)?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86890194 is divided by 3356?\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-160)\/85 + 2. Let j = -1.17 - 17.03. Let p = j + 18. What is the closest to p in v, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059191195?\nAnswer: 5, 19, 11149381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -20. Let u = 13 + t. Let p = 6.02 - u. What is p rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(425) + 3) - (sqrt(425) + sqrt(425) + -3 + -1).\nAnswer: -15*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -264\/7*i**3 - 94\/7*i**4 + 0*i + 0 + 72\/7*i**2 - 8\/7*i**5 = 0. What is i?\nAnswer: -6, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + h + h. Suppose 3*a - 7 = 4*s - 0, 5*a - 5*s - 20 = 0. Let r(l) = 0*l - a*l + 8*l - l. Calculate r(u(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17*j**2 + 4. Let g(p) = -111*p**2 - 26. Let l(s) = -4*g(s) - 26*t(s). Let w(b) be the first derivative of 101*b**2\/2 + 2. Give l(w(q)).\nAnswer: 20402*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w + 16. What is the biggest value in -4.8, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7001)\/28004)\/(5\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*-791.71\nAnswer: -3166.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**3 - 7*o**3 + 10*o - 9*o**2 + 14*o**3 - 6. Let f = -8 - -16. Is k(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + ((-9)\/3 - -2). Suppose -4*q + 4 = -w. Find the first derivative of 0*f**q + 4 + f**3 + 3*f**3 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14200332 less than -28045?\nAnswer: 14172287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437 - 2623\/6. Let x be (8 - (0 + 5)) + -1. Which is the nearest to 17? (a) 3 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 19*u**2\/2 + 7*u - 2. Let m(v) = -58*v - 20. Let r(d) = -14*i(d) - 4*m(d). What is the hundreds digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 q, and 1 j when three letters picked without replacement from {j: 2, m: 3, q: 1, g: 10}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w + 3. Let f = 352 - 353. Give g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 - 2*n**2 - 9*n + 11*n - 2)*(n**2 - 2*n**2 + 2*n**2) to t*n**4 + c*n**2 + u + h*n**3 + g*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/20 - 0)\/((-135)\/675)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12666900 to the nearest ten thousand.\nAnswer: 12670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/218 and 127\/2180.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 3*m**2 + 0 - 1\/132*m**4 + 3\/2*m**3 + 0*m**5 + 1\/1980*m**6 + 0*m. Let r(p) be the first derivative of o(p). Factor r(d).\nAnswer: 2*(d - 1)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2828\/3 and 942 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwaa when four letters picked without replacement from {p: 1, s: 1, w: 3, m: 4, a: 5}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 653 = -749 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*(l\/(l\/(l**(5\/4)\/l)))\/l*l)\/l**(-3))\/(l*l**(-1)\/l*l**(-6)) assuming l is positive.\nAnswer: l**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3577619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 23*j + 22*j - 15)*(-13*j - j - 24*j)*(5 - 5 + 2*j).\nAnswer: 76*j**3 + 1140*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4430 + 1?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (156\/(-32) + 1)) + -1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -464 - -804. Let f = 1047 - v. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let f = 5 - 5.01. Let l be (0 - 1) + 219\/292 - 5\/(-4). What is the closest to j in f, -2\/11, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 25 = 4*m, 2*n + 23 = -0*m + 5*m. Solve p = -m*z + 14, 4*p - 14 = z - 0*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -103*y + 107*y + 3, 16 = -2*p - 5*y. What is the lowest common multiple of p and 76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - 5*i)*(15602*i - 7047*i - 7323*i)*(i - 1 + 1)*(2*i**2 - 3 + 3).\nAnswer: -7392*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 1, r: 2}. Give prob of picking 1 f and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894175239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423.848132ms in weeks?\nAnswer: 0.00000235424625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 + 3. Let n be q(-5). Let l(w) = w**2 - 10*w + 12. Let y be l(8). Let s = n + y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 263181470*q**4 + 254937904?\nAnswer: 1052725880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*v - 8075*v + 1527*v - 3491*v.\nAnswer: -10376*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/(2 + 2\/(-2)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120550679 to the nearest integer?\nAnswer: 10980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*z - z. Differentiate -z*b**2 + 3*b**4 - 3 + 21*b**2 wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3990 - 3985. Let r(f) = -f**2 - 7*f - 3. Let h(p) = 4*p + 1. Give t*h(j) + 3*r(j).\nAnswer: -3*j**2 - j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 594*y + 597*y + 2 = 0, -29 = 31*b + 2*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11222778*w - 5731065?\nAnswer: 11222778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 33 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2777000 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6257.073 nanograms?\nAnswer: 0.006257073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:17 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -64. Suppose 3*v - y*v = 0, 2*c - 3*v = 612. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -460, -852, -1256, -1672, -2100?\n\"Answer: -6*t**2 - 374*t - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - k - 2)*(558*k - 34*k**2 - 558*k) - 2*k**3 - 964*k + 2*k**2 + 964*k as m + u*k + x*k**2 + f*k**3 and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x + 7*x - 7*x - 53 - 15*x. Let w be l(-8). Suppose -9*k + 2*k + w = 0. Solve 4*r + 5 - k = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14521, -14520, -14519?\n\"Answer: a - 14522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -13) + 44 + -54\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78808, -78814, -78820, -78826, -78832, -78838?\n\"Answer: -6*v - 78802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - 0. Let w(j) = -j**2 - 9*j - 1. Let n be w(u). Suppose 5*v = 5*r - 28 - n, 12 = 3*v. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -0.3 (c) 0.2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**3 - 24*g**2 - 439*g + 18. Let z(x) = -x**3 + 6*x**2 + 110*x - 4. Let c(k) = 2*h(k) + 9*z(k). Factor c(d).\nAnswer: -d*(d - 14)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -22*u**7\/7 - 7*u**3\/3 - 20. What is the third derivative of q(g) wrt g?\nAnswer: -2640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = 9. Let c = m + 3. Let s be -1 - (5 + c\/2). Sort s, 5, -1.\nAnswer: s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0*q + 3*q - 2*q.\nAnswer: q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*((1*(-1 + sqrt(26)\/sqrt(2)))**2 - ((sqrt(65) - ((sqrt(65) - -1*sqrt(65)) + sqrt(65) - sqrt(65)))\/sqrt(5) + 1))*-5.\nAnswer: -15*sqrt(13) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -31*c**3 + 3*c + 3. Calculate the remainder when 56 is divided by u(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-12))\/((-2)\/15 - (-133)\/210). Let r(p) be the second derivative of -4*p + 5\/12*p**4 - 5*p**h - 35\/2*p**2 + 0. Find s, given that r(s) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/400*88\/66\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8798937853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(12)\/sqrt(2)))\/(sqrt(18)\/sqrt(27) + sqrt(6)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0*z - 99. Let c be 3 + ((-210)\/z)\/2. What is the second smallest value in -3, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2. Let r(o) = 66*o**2 - 5*o - 10. Let l(x) = -33*x**2 + 3*x + 6. Let m(p) = 5*l(p) + 3*r(p). Give m(u(a)).\nAnswer: 1617*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = l + 4*x, -1440 = -3*l - l - 2*x. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71072\/69 + -1030. Let x = q - 25\/69. Which is the closest to 1? (a) 0 (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1430983\/81?\nAnswer: 1430983\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/9)\/((-1)\/(-3)). Let v be 11\/(-3*(3 - 2))*-48. What is the highest common divisor of b and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/500035494 and 5\/18.\nAnswer: 1500106482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 9, t: 1, z: 3, q: 1, r: 2}. Give prob of picking 1 z, 1 q, and 2 b.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10644)\/(-144) + -72 - 2*(-2)\/(-48).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuq when three letters picked without replacement from {u: 2, q: 1, o: 1, l: 1, d: 3, y: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + 2*p)*(-p + 6*p + 4*p).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 3\/8 (c) 33 (d) -150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 2 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48.31 and -0.1.\nAnswer: 4.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2877*w + 5752*w - 2873*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = j + 1, 2*j - 10 = -5*i. Suppose 3*b = b - i*y + 218, 334 = 3*b - 4*y. What is the third derivative of b*x**6 - 111*x**6 + x**2 + 9*x**2 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 320 = 4*z - 331, -q = 2*z - 1. Let i(g) = -7*g**2 + 2. Determine i(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/101 and 25\/3249.\nAnswer: 328149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 - 12*y**2 - 3 as v*y**2 + a*y + w and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/10 - 61*i**3\/5 - 502*i**2\/5 + 2596*i\/5 + 1936\/5 = 0.\nAnswer: -22, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 222766, 223657, 224548?\n\"Answer: 891*o + 221875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14451495 + 1.05593.\nAnswer: 14451496.05593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1514949)\/((-74)\/74 - (-2)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -2*h - 5*x, -x + 3*x - 374 = -3*h. Let d = 130 - h. Factor -2 - 81\/2*g**d + 18*g.\nAnswer: -(9*g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 + 7*j + 4. Let b = -31 + 26. Let g(p) = p**2 - p - 1. Give b*g(u) - x(u).\nAnswer: u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3202 - -3?\nAnswer: -3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 2*p**2 - 2*p + 1. Let t(r) = r**2 - r. Let b(w) = -k(w) + 2*t(w). Let x = 2 - 3. Let v be x*(0 - (-1 - 0)). What is b(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**2 + 14*h**3 - 228*h + 228*h wrt h.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 486, 747, 1026, 1329, 1662, 2031, 2442?\nAnswer: 2901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.8 * 0.93.\nAnswer: 10.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4692 + -4665. Calculate the remainder when 170 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15354.\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8405 and 94300?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27022 - 27004. Calculate the remainder when 660 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0*v**4 + 0*v**2 + 24*v + 0 + 0*v**6 + v**3 + 3\/7*v**7 + 0*v**5. What is the second derivative of p(j) wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 10*i**2 + 8*i - 22. Let k be r(-11). Suppose 27 = 4*j + k. Suppose -j*f = -138 - 162. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 5:48 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:17 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 42*b + 335. What is q(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4380 and 41172.\nAnswer: 205860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 98, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose -u = -5*h - 0*u - 20500002, h + 4099992 = -d*u. What is h rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60528 and -0.163?\nAnswer: -9866.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2. Let w(m) = 2*m. Calculate v(w(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595863 = 3*t - 4*t. Let p = t - 85863. What is p rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 258*s**3 + 11*s**2 - 16*s + 6937. Let k(j) = 128*j**3 + 6*j**2 - 9*j + 3460. Let b(r) = 9*k(r) - 5*m(r). Differentiate b(a) with respect to a.\nAnswer: -414*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose -2*o + 7*o - 20 = h. Let q = -1177 + 1179. Sort q, 7, o in decreasing order.\nAnswer: 7, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133713*o**3 + 25*o**2 + 63*o wrt o?\nAnswer: -802278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = 3*h - f + 262, -2*h - 5*f = -29. Suppose 783 = 2*n - 89. Suppose -5*z = 4*p - n, -5*z + 514 - 86 = h*p. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 193, 192, 191, 190, 189, 188?\n\"Answer: -n + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let p = 503\/3016 - 3\/232. Which is the nearest to t? (a) p (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 p when three letters picked without replacement from dxdxxxxpdqxpdoxq?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110 and -15097.\nAnswer: -1660670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - g - 7 = 0, g - 15 = -3*q + 4*g. Which is the closest to q? (a) -2\/5 (b) 1\/2 (c) 19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u. Suppose m + u*m = 5*k + 32, -2*k + m = 14. Let g(n) = -990*n + n**2 + 498*n + 498*n - 2. Give g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2016277817 - -24492\nAnswer: 2016302309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -371*a + 352*a - 1159*a - 881*a - 366*a - 2659 wrt a.\nAnswer: -2425","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 2 - 3*y**3 + 3*y**3 + 2*y**3 + 2*y**2 - y**3. What is the remainder when 52 is divided by n(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -96, -796, -2684, -6354, -12400, -21416?\n\"Answer: -99*w**3 - 7*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-14 - -20)*4\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689324359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74.5 + -9.5. Let l = 196502098.9999995 - 196502164. Let j = l + k. What is j rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 + w**4 + 5*w**4 - 4*w**4 - 8*w wrt w?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 7) to base 6\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -216*w**3 + 89*w**2 + 18*w + 70. Is h(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16798, 33712, 50648, 67618, 84634, 101708, 118852, 136078?\n\"Answer: 2*h**3 - h**2 + 16903*h - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -k + 3*k. Let m = -12 - -165. Let d = m - k. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22081678 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 2. Let z(i) = -i - 1. Let a(o) = -3*o**2 + o - 2. Let w be a(-2). Let h be w\/7 + 4\/14. Calculate h*u(g) - 6*z(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158297238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-14) - (-1791)\/(-63). Let a be w\/(-8) + (-1)\/2. Let f(u) = -65*u + 393. Let y be f(6). What is the greatest common factor of a and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84524923.7497 from 4.\nAnswer: 84524927.7497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**0*d*d*d)\/d**(2\/3))\/(d\/((d*(d**(-2\/5)\/d*d)\/d)\/d)*d*d**4) assuming d is positive.\nAnswer: d**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125 or 8672?\nAnswer: 8672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(121)\/(1*sqrt(1584)) + (sqrt(132)\/(sqrt(48)\/sqrt(4)) + sqrt(11) + 1)**2)*-5).\nAnswer: -1120 - 1225*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 1 x when three letters picked without replacement from {x: 2, g: 1, m: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*41287841\nAnswer: 20643920.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -0.1021?\nAnswer: -0.1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.550461 grams?\nAnswer: 8550461000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 18 = z + 5*u, 4*z = 5*u - 12. Let g(r) = r**3 + 5*r**2 - 8*r - 7. Let l be g(-6). Solve -z*o = 3*o + l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 2. Let d be h(0). Let y(j) = -j - j**3 + 2*j - 1 + 4*j**2 + j. Is y(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -629 + 617. Which is bigger: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 194483172, 194483177, 194483184, 194483193?\n\"Answer: r**2 + 2*r + 194483169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 10) + -5 + 8 + 29 - 3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifnk when four letters picked without replacement from {n: 2, k: 1, f: 1, i: 10}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/5 - 388834*y**4\/5 - 6998364*y**3\/5 = 0.\nAnswer: -194399, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + 1 + (-6)\/(-9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 6, r: 8}. What is prob of picking 1 d and 1 r?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-32)\/(240\/(-15)) - 68292\/(-2).\nAnswer: 2, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 3. Suppose -3*u = -0*u - 9. Let w(a) = 3*a + 3. Give u*w(c) + 4*b(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -349, -353, -357?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 8*o**2 + 2*o - 11. Suppose 5*t = -2*w - 0 - 2, w - 8 = 2*t. Suppose 0 = w*z - 16 - 16. Let p be d(z). Put 4, -3, p in increasing order.\nAnswer: -3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10123 at least as big as -10114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3425.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.39 - -17.3910332. What is i rounded to five dps?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -1, 0.2, 760\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymnra. Give prob of picking 1 y, 1 r, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -m - 3*w, 0 = -2*m + 2*w + 8. Let q = m - 1. Suppose -g + 6*g - y - 119 = 0, -4*g + 104 = -q*y. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 19) + -901*90\/(-5610).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058202653 rounded to four decimal places?\nAnswer: 0.0582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 6 = 2*l, -o - 2 = -15*l + 20*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 195 = -183. What is the highest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31246361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 4. Let p be g(-5). Solve 4*x - v = -0*v + 12, 0 = -x + v + p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*a*o**3*w - 2160*a*o**2 + 25*a*o - 48*o**3*w + 497*o*w - 33*o wrt o?\nAnswer: -174*a*o*w - 4320*a - 288*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*s**2 - 785*s**2 + 397*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -123, -5 in decreasing order.\nAnswer: 4, -5, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from rrxxrxxwxxxwwrxxxxxw?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 s when three letters picked without replacement from {z: 2, s: 10, w: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0 + 7*b**2 + 4 + 4*b - 6*b**2. Let p be t(-4). Determine y, given that -2\/5*y**p + 2\/5*y + 0 - 2\/5*y**3 + 2\/5*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -4*sqrt(68)*-6)\/sqrt(4).\nAnswer: -23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 1:37 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1022030390.73 and -427.\nAnswer: -1022030817.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - f - 8 + 0)*(-10 - 5 + 4).\nAnswer: 11*f + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -222419385*g**3 - 406*g**2 + g - 3524.\nAnswer: -1334516310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*l + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 10*g - g + 68.\nAnswer: 9*g + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-470)\/(-141))\/((-10)\/6))\/(2\/9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.076, -5, 40415 in increasing order.\nAnswer: -5, -0.076, 40415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -417 and 0.0126?\nAnswer: -5.2542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95855 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: Let s(q) be the first derivative of -q**2\/2 + 3*q + 23. Let x be s(0). Solve x*a - 2 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -844*z - 2. Let m be k(1). Let q = 251264\/297 + m. Let p = -7429\/594 + q. What is the common denominator of 11\/56 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s + 65 - 65)*(-3 + 1 - 2) + (0*s - 2*s + s)*(0 - 1 + 2) - 2*s + 4*s - 3*s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -479717\/18 + 26658. Calculate the common denominator of ((-33)\/27*2)\/(0 - 4) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)*f\/(f\/(f*f*f**(-40)*f)))\/(((f**(-4)*f)\/f)\/(f\/f**(-44))) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3067\/380 - 213\/20. What is the common denominator of q and -79\/20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Suppose 0*m + 31 = 5*m - w*z, -3*z = 5*m - 49. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + 0 - 0)*(-2 + 1). Let j(u) = 4*u**2 + 28*u - 3. Let w be j(y). Which is the smallest value? (a) w (b) 1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2865039, -2865038, -2865037?\n\"Answer: t - 2865040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 16*k**2 + k. Let u = 26 - 16. Let z = 6 + u. Suppose 6*h - 3*h = q + z, 0 = -4*q - h + 1. Calculate j(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - 1)*2\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n + 1. Let y(i) = -i. Let v(r) = -f(r) + 6*y(r). Let p be v(7). What is the third derivative of -8*b**2 - 5*b**6 + 3*b**6 + b**p wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 - 1707486990511 + 1707486990511.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 9*c**2 - 23*c + 15. Give k(-4).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14350661 (base 7) in base 14?\nAnswer: 2746d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {e: 4, s: 3, j: 4, g: 1, t: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {g: 5, r: 1, v: 1, n: 2, s: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (5 + -5*sqrt(27))**2 + (sqrt(75)*2*2)**2)*6.\nAnswer: -4500*sqrt(3) + 57000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 4. Let t(g) = -2*g + 8. Let h(r) = -4*t(r) + 7*z(r). Let w be h(6). Solve -q + 3*l = w*q, -2*q - 3 = -3*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/53773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbssspbssssssb. What is prob of sequence ss?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15682 (base 11) to base 12\nAnswer: 10968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6 and -25\/13432?\nAnswer: 40296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 - 49684*g + 12647440 = 0.\nAnswer: 260, 12161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32088527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3942 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47913591497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7957579ns?\nAnswer: 0.0000007957579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259924 at least as big as 6259924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 146*r**3 + 486*r - 488*r + 6*r**4 - 5*r**4 in the form h*r**3 + x*r**4 + t*r**2 + k + c*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 44039060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-323) - 6\/51\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50*(-4 + 3))\/((-4)\/(-2402)).\nAnswer: 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1587 and 95\/4362.\nAnswer: 2307498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 554 and 18.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1311 and 3648?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -47. Find q, given that g*q - 9*q**2 - 8 - 3*q**2 + 10*q**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looplojooolpopxpl. Give prob of picking 1 l and 1 x.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 7 + 16 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*o - 1151 + 115*o + 125*o + 1151.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 4\/7 (b) 3\/53 (c) 0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + -10. Let p = w - -133\/4. What is the nearest to -0.1 in -0.2, p, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 - (-2760)\/(-156)) - 13.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -12, 4, 2, -868 in descending order.\nAnswer: 4, 2, 1, 0, -12, -868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/20 + d**4\/3 - d**3\/3 - d**2 - 40*d. Calculate x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202112010222 + -2?\nAnswer: -10202112011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3. Let x be m(-1). Suppose 5*u - 2*w - 14 + 2 = 0, 2*u - 2 = -2*w. Solve u + 0 = x*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:13 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q**2 + 460*q*r**2 + 7*r**2 wrt q.\nAnswer: 4*q + 460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 634114451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 488870939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(-5)*(-380)\/646.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 18, u: 1}. What is prob of picking 1 u and 2 e?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/40*(-200)\/1100.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z + 0*z**3 - 3*z - 2*z**3 + (288 - 41 - 113)*(0*z**2 + 0*z**2 + z**3) to the form v + p*z + w*z**3 + s*z**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*g = -223*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 12. Let t be d(-10). Is (-139 + -2)\/(30\/t + 3) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 47. Let y(v) = 4*v + 93. What is 5*d(w) - 2*y(w)?\nAnswer: 2*w + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.322 + 0.541. Let s = 0.081 + a. Let q = -0.5 + 1. Sort q, s, 4 in ascending order.\nAnswer: s, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 2*l**2 - 2. Suppose 5*w - 20 = 2*f + 9, -5*w = 3*f + 6. Let y(c) = 13*c**3 - 7*c**2 - 7. What is f*q(s) + 2*y(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -725760 divided by 2880.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -10, -2*o = -4*q + 2*o - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/41309 - 1445743\/1487124. Let j be (8\/(-3) + 2)\/(80\/(-1800)). Calculate the common denominator of (22\/j)\/((-8)\/(-10)) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 55 = -10*m. Let s = 15 - m. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04732853 rounded to 5 dps?\nAnswer: 0.04733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(4\/13)*r**(-40) assuming r is positive.\nAnswer: r**(-511\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -15*r + 31*r + 4*r - 21*r + r**2. Let w(z) = 5*z**2 - 8*z - 2. Give -4*s(l) + w(l).\nAnswer: l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnncnnnsnnnnn. Give prob of picking 2 n.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249.4*-0.255.\nAnswer: -63.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2985.\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19299608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1402 = -3*w + 4430. Let s = w + -967. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 21 + -15 - (-10 + -1) - 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (13 - (15 + -8 + 11)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -33*b**3 - 6*b**2 + 28*b + 6. Let j(c) = c**3 + c**2 - 1. Suppose 9*t + 6 = -3. Let l(x) = t*i(x) - 6*j(x). Find the second derivative of l(z) wrt z.\nAnswer: 162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 88. Let t be y(24). Let q be (-7)\/((-84)\/t) - 8\/(-6). Solve q*k - 6 - 2 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:01 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -7 (c) 2\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669186 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: Is -6 greater than or equal to -27\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 119 = 51. Find the first derivative of -40*h**3 - 13 - 19*h**3 + r*h**3 - 9 wrt h.\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1498\/273 + -7 - 10\/(-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 - 193*l**5 + l**3 - 306*l**2 - 3*l wrt l?\nAnswer: 120*l**3 - 11580*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 34 = -9. Suppose 6 - o = -i. Is (42\/i)\/(9 - 11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33384518.9 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Suppose -8 = 7*i - 29. Solve i*t - 13 = q + 4*q, -5 = q - h*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4086 is divided by 186?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10708 by 4.\nAnswer: 2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -9*z - 12. Suppose -z = 11*m - 13*m. Solve -m*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (3 - 5))*(147 + -119)*6\/16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (4 - (9 + -7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-4)\/(-48)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*i**3 + 3*i - 299*i**3 + 116*i**3 + 115*i**3 - 3*i - 3 + 2*i**2.\nAnswer: 24*i**3 + 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3063.\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + 5*c**2 + 5. Suppose 5*n = n - 2*t + 50, -5*n = -2*t - 76. Let g(h) = -266*h**3 + 129*h**3 + 129*h**3 - 14 - 14*h**2. Give n*z(l) + 5*g(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 244, 290, 366, 472, 608, 774?\n\"Answer: 15*q**2 + q + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Suppose -22*w = 6297 + 11589. Let u = 13819\/17 + w. Which is the smallest value? (a) 0.1 (b) u (c) -5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19486312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4829976 and 52\/85275.\nAnswer: 120749400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + t + 1. Let y(o) = 1496*o - 2995. Let h be y(2). Let f(b) = -b**2. Determine h*f(c) + 2*u(c).\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ititt. What is prob of picking 1 i and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 17*q**3 - 4*q - 97*q**3.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 92*n + 30. Calculate d(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 63213.41cm?\nAnswer: 0.6321341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 790 (base 15) to base 4.\nAnswer: 122232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28*j + 204. Let c be y(6). What is the derivative of 39 - 14*b + c*b - 22*b + 56*b**3 wrt b?\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 61. Suppose 12866 = -l*y + 20*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303446 greater than or equal to 303490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q - 143. Let v(w) = -4*w - 48. Let g(h) = -17*v(h) + 6*y(h). Let o = -10 + 31. Let d be g(o). Solve d = 4*x - 3*i - 23, 25 = 2*i - 7*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -73*g**2 + 553*g + 253. What is u(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/96 and -19\/60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16521 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a - 2. Let n(c) = -c + 1. Determine 2*n(f) + q(f).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i - 2. Let w = -81 - -82. What is the nearest to w in 0.3, -0.1, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let p be a\/(-3) + (-26)\/(-6). Find the third derivative of 0*j**4 + 2*j**p - 4*j**2 + 3*j**2 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n - 7. Let r be o(5). Let a be (-1)\/1 - (-110)\/(35 + -13). Solve -r*j - 7 + a = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b + 3. Let q be ((-5)\/2)\/((-3)\/6). Let w(c) be the second derivative of 7*c**3\/6 + 2*c**2 - 16*c. What is q*w(x) - 6*l(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*a - 88, -p = -4*a - 0*p + 166. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101\/16, 0.2, -6, -5, 0 in increasing order.\nAnswer: -6, -5, 0, 0.2, 101\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 690141 divided by 690141?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 11\/(220\/(-75))*(-56)\/6?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -345674 and -346656 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 105 = -5*c. Let a(o) = -12*o**4 - 7*o**3 + 4*o**2. Let f(w) = w**4 + w**3. Let t(v) = c*f(v) - 3*a(v). Find the third derivative of t(y) wrt y.\nAnswer: 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 58?\nAnswer: 99\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/9))\/((a*a**(-1\/2)*a)\/a))\/(a\/(a*a**(1\/7)*a*a)*a**0) assuming a is positive.\nAnswer: a**(361\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 71. What are the prime factors of 33\/i*(-8)\/2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 13*x + 1. Suppose -4*s = -16, 4*r + 3*s = -0*s - 4. Let n be ((-12)\/(-8))\/(1\/r). What are the prime factors of k(n)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 96*f**4 - 774*f**2 + 5*f + 10. Let t(a) = 528*a**4 - 4257*a**2 + 27*a + 54. Let j(x) = 27*s(x) - 5*t(x). What is the third derivative of j(c) wrt c?\nAnswer: -1152*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - 3*j**3 + 7*j**3)*(11*j - 461 + 28*j - 50*j + 10*j).\nAnswer: -j**4 - 461*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141297946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 29 + 117. Let x = 0 + 24. What is the remainder when x is divided by i\/11 + 3 + 0 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11886537 and 481.\nAnswer: 439801869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**2 + 121 + 119 - 24*v**2 - 240.\nAnswer: -47*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c**(-6\/7))**24\/((c**(-3\/5)*c)\/c*c**(-6))**(-19) assuming c is positive.\nAnswer: c**(-4229\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23730247, 47460497, 71190747, 94920997, 118651247, 142381497?\nAnswer: 166111747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1409 divide 73552320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 64958, 64959, 64962, 64967, 64974, 64983, 64994?\n\"Answer: l**2 - 2*l + 64959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c**(4\/5))\/c)\/c)\/(c*c**(-1)) assuming c is positive.\nAnswer: c**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/14 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -3, -34, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -388 + -7?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -5. Suppose m + 2*c + 18 = -2*c, -f*m - c + 5 = 0. Suppose 0 = -5*v - 4*q + 22, -m*v = -v - 5*q + 13. Solve -x - 6 = v*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.388 - -0.4. Let w = r - -42.988. Let l = w - 43.38. What is l rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/770)\/(66\/154)*2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from lluuuuuluuuuluuuuu?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k + 14, 2*p - 3864 = 3*k. Suppose -p = -3*i - 3*m, -i + 5*m = -158 - 484. What are the prime factors of i?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7905 is divided by 2628.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*q*w**3 + 20*q*w**2 - q*w - 2*w**3 - 2*w**2 wrt w.\nAnswer: 330*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7531 and 816.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 111*p - 4218. Let i be h(38). Let j = -29 + 21. What is the nearest to i in -4\/5, j, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/49 and (2\/23*-15)\/7.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 9*f**2 + f + 4. Let x be n(9). Let w = x + -22. Does 16 divide (3 + w)*(-170)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2677\/234 + 236\/39. Suppose -149 = -4*p + 427. Find the common denominator of z and (-6*1\/32)\/((-4)\/p).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 + 26 - 75*f - 28 + 75*f. Let y(o) = 4*o**2. What is y(b(n))?\nAnswer: 64*n**4 + 64*n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**3\/3 - 3*g**2\/2 + g + 110. Let v be a(-2). Which is greater: 35\/3 or v?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 141*n**2 - 403. Let o(f) = 85*f**2 - 202. What is -4*j(y) + 7*o(y)?\nAnswer: 31*y**2 + 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u\/u**(3\/4))\/u)\/u)\/u)**10)**36*(u**(1\/2)\/u)**(-31)\/(u\/u**6*(u\/u**(2\/9))\/u) assuming u is positive.\nAnswer: u**(-17447\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 978, 0.1, -4.9, -0.2, -14\/15 in increasing order.\nAnswer: -4.9, -14\/15, -0.2, 0.1, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a. Let g(h) = -31584*h. What is -4*g(u) - 24816*q(u)?\nAnswer: 2256*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 2*i - 20*i**3 + 18*i**3 - 763 + 9*i**4 + 766 as j*i**2 + c*i**3 + q + y*i + o*i**4 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3217172 (base 8) to base 7.\nAnswer: -10210422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10703221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 2*m - 7. Let u be (-2)\/(24\/(-60)) - (11 + -4). Let t(d) = d**2 - d - 4. Calculate u*c(b) + 5*t(b).\nAnswer: b**2 - b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19874 in 498, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:22 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266 - -635. Let y = 982 - g. Let w = -359 + y. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606501985 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -49. Solve -m + 19 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -436\/2043 + -2\/227. Which is the second smallest value? (a) 2\/9 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -1\/3, 1.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 625673848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3412 divided by 640\nAnswer: 853\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32761, -65525, -98289, -131053, -163817, -196581?\n\"Answer: -32764*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8455 + 0?\nAnswer: 8455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 365, 401, 465, 563, 701, 885, 1121, 1415?\n\"Answer: x**3 + 8*x**2 + 5*x + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 28. Let w(s) = 5*s - 1. Let x(f) = -9*f + 1. Let d(p) = -11*w(p) - 6*x(p). Calculate the remainder when z is divided by d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 36*o**3 - 26*o**2 + 144*o + 136 = 0. What is o?\nAnswer: -17, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85410*c + 42702*c + 42708*c - 7*c**2 - 66*c**2.\nAnswer: -73*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10321 + -121332?\nAnswer: -132313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0, -3 in decreasing order.\nAnswer: 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 17390633?\nAnswer: -3\/17390633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(5*sqrt(117)*-5)**2.\nAnswer: -73128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*g = -1 + 426 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neennceneennn. Give prob of sequence enn.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1741290 > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y + 26 = 0. Suppose y = -4*i - 2*c + 33, 3*i - 5*c = -11. Suppose f = i*f - 4. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254 + -401.8. Let g = 148 + z. Which is the nearest to -1? (a) g (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/138861 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.123 in -0.4, 0.4, -20\/7, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9686, -9694, -9704, -9716, -9730?\nAnswer: -9746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb540a (base 16) to base 7.\nAnswer: -206231156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9999 - 2001. Round l to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -569 + 574. Sort -1, -3, f, 12, -31.\nAnswer: -31, -3, -1, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 71 - 195 = 0. Let f = y - 15. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*n**2 + 228*n**2 + 224*n**2 + 226*n**2 + 243*n**2 + 106*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.38 - -1.08. Which is the closest to 3? (a) u (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1492*d**2 + 20. Let g be r(-3). Suppose -15*q = -g - 7552. What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -18, -1, -4 in descending order.\nAnswer: -1, -3, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffmekmfef. What is prob of picking 2 e, 1 m, and 1 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + a**2 - 3*a**2 + (11*a + 45 - 45)*(-9*a + 8*a - 28*a) in the form b*a + i + t*a**2 and give t.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -10. Suppose -w*c + 4*c = -3960. Suppose a - 1332 = -4*n + 3*a, a = -4*n + c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 11. Let r(y) = y - 2. Let k(v) = 4*d(v) + 22*r(v). Let t(w) = -4. Let q(b) = 9. Let s(n) = q(n) + 2*t(n). What is -k(j) + 2*s(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/25)\/(72*(-62)\/(-14880)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 28295837?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*n**3 + 3*n - 3*n - 52*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62.7 - 569.8.\nAnswer: -507.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*z - 5*z. Let q be (-3754)\/(-2) - 4\/2. Let h be q*(2841\/z - 1). What is h rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*b - 7332 = 172*b - 74*b - 110*b for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)\/n**(5\/4))\/(n**(-1\/2))**20 assuming n is positive.\nAnswer: n**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 7, 13, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -1312230201?\nAnswer: 1312230213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12903 - 161*u**3 + 12903 + (-5 + 0 - 2)*(0*u**3 + 0*u**3 + u**3).\nAnswer: -168*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79329, 159019, 238707, 318393, 398077, 477759?\nAnswer: 557439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 270 - 240. Let u = -14 - -289. Let y = u + -95. Calculate the greatest common divisor of r and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1052973 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 - 8*x + 3. Let f = 1098 + -1102. Calculate z(f).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-15))\/((-2)\/(-18)*3). Let r be -2 + 1 + o - 4270\/(-7). Let b = -3029\/5 + r. Calculate the common denominator of -51\/16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 10*l + 38. What is the lowest common multiple of d(12) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 183*v + 60 - 118.\nAnswer: 183*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgyyyygymgmygy. What is prob of sequence gggg?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 3\/2, -66?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 8 = -2*b, -2*d + 92 = -b. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y - 3. Let b(q) = 10*q**2. What is h(b(z))?\nAnswer: 150*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 80.52797 millimeters?\nAnswer: 0.00008052797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 140 - 131 = 4*y, y - 66 = -4*k. Solve 0 = k*f + 3*f + 36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) -1\/4 (c) -1.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -28. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 302 + 598 + 182*o**3 + 69*o**3 wrt o.\nAnswer: 753*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 26*b**3 - b**2 - 31*b**3.\nAnswer: -7*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55\/4 of a micrometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((-4)\/((-20)\/(-1)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/(-28) + 2)*(-6)\/12. Let t = 2\/75 - -7\/2550. Let f = t + -10\/51. Sort -0.3, f, 7, b in descending order.\nAnswer: 7, f, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457461669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 0 (c) -7 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/6))**(3\/7))**(-31) assuming u is positive.\nAnswer: u**(155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/12*(-131)\/(-917)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4 + 11. Solve 0*n - 5*b - 22 = y*n, -b = 4*n + 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -287?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281967656.\nAnswer: 2, 2819, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -1490)*(18 + -17). Is -1487 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 9*u**2 - 11*u + 10. Let c be p(8). Calculate the remainder when 39 is divided by -2*c\/8*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*t - 546. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 + 5*q - 4. Let t be x(6). Let i = t - 22. What is the second biggest value in i, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**(2\/5)))\/a*a*(a\/((a**(5\/4)*a)\/a))\/a*a)**(-3\/16)*(a\/a**(1\/4))\/(a**6*a*a)*(a\/a**(-6))\/(a*a**(1\/4)) assuming a is positive.\nAnswer: a**(-549\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.94 (c) 7 (d) -2\/3 (e) 0 (f) -0.63 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 291853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 30. Suppose 1343 = -n*i + 5*i + 2*h, i = -4*h - 251. Is (i\/(-6))\/(1\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4275433 years?\nAnswer: 0.0004275433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 283163 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/1080 - -14993\/1080. Let c = m + -629\/90. Find the common denominator of 9\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 3. Let x be (-11)\/3*(1 - -2). Let c(h) = -110*h + 195*h - 101*h - 16. Give x*t(g) - 2*c(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 8*u**2 + 7*u + 2. Let v be k(7). Let o = -9 + 14. Suppose -5*c - 5 = o*p, 0 = p + 1 + 3. Solve -3*q + 2*f = 5, -c*f = 2*q + v*q - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 7*w**4\/24 + 8*w**2. Let h(z) = 14*z**2 + 1 - 16*z**2 + 3*z**2 - 1. Give h(b(s)).\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -237*z**2. Let n(j) = -7*j**2 - 12. Calculate n(a(t)).\nAnswer: -393183*t**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -473 - -474. Let p(h) = 1841*h**3 + 2*h**2 - 6*h + 3. Let y be p(s). What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28 = -2*d, 3*d = -3*f + 80 + 7. Let t be ((-918)\/d)\/(-17)*2\/3. Let -t + 3\/4*w**2 + 3\/4*w = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876374161.\nAnswer: 13, 103, 654499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.231 + -0.231. Let s = -25\/2 - -49\/4. What is the biggest value in -3\/5, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 225*j + 43197. Give o(-192).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 2. Suppose 17 = -2*m + 13. Calculate p(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -20*z - 18. What is the remainder when 50 is divided by b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 4*p**2 + p - 2. Let d = -67 + 71. Let j be i(d). Suppose -6*g**3 + 4*g + 0*g**5 + j*g**4 - 4*g**2 + g**5 + 2*g**2 + g**5 = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953 is divided by 480?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3516 - 3512. What is the nearest to -1 in 1198, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 - (-5 + 4). Let o(x) = 385*x + 10. Let j(g) = -386*g - 13. Let s(r) = -3*j(r) - 4*o(r). Is s(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.3 + 31. Let w = -0.6 + z. Which is smaller: w or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -3*m + 3*u, -2*u = 3*m + 10. What is the units digit of (-2)\/m - 0 - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147.9032 - -148. What is the third biggest value in 1, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 328735\/(-69531) - 28\/(-6)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8*u - 7*u - 25, -25 = -4*u + y. Solve 0 = -u*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millennium in decades?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 47*g\/5 + 442\/5.\nAnswer: (g + 13)*(g + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 3. Let f(a) = 2*a - 2. Suppose 0 = -27*y + 30*y + 9. Let q(r) = y*l(r) - 4*f(r). Differentiate q(t) with respect to t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a centimeter in millimeters?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 2*b, 4 = -b + 2*b. Let z be s\/(2\/(-10)*-2). Let a = z - 26. Solve 5*c = a*g - 0 - 1, 0 = 2*g + 4*c + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - -111202?\nAnswer: 111115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 4*y. Find the second derivative of -d - 47*d**y + 54*d**5 + 5*d wrt d.\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9594*n**5 + 15*n**4 + 3*n**3 - 76293274*n**2 wrt n?\nAnswer: 575640*n**2 + 360*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36 + -35 + 1\/1. Let s(t) be the second derivative of 8*t + 0 + 0*t**u - 5\/6*t**4 - 1\/2*t**3. What is the second derivative of s(g) wrt g?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 9*n**2 + 8*n + 4. Let t be b(-8). Let h(u) = 2090*u + 29259. Let v be h(-14). Sort -5, t, 11, v in ascending order.\nAnswer: -5, v, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-210))\/((-11)\/((-770)\/20)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 743522381 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5343520 divided by -5872\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1798 + -1797. Let h = 0.14 + -0.04. Which is the nearest to -1? (a) 0 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(448)*-1 - ((sqrt(567) - (sqrt(567) - (2 + sqrt(567)))*-1) + sqrt(567))**2.\nAnswer: -2269 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r**4 + 25*r**4 + 20*r**4)*(r + 2*r - 6*r).\nAnswer: -177*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5*(-153)\/(-45))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2001002?\nAnswer: 2000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1819*s**2. Let t(v) = 2*v**2 - 4*v**2 + 4*v**2 - 3*v**2. Determine t(n(h)).\nAnswer: -3308761*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 598369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2442236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 4 + 3 + -3. Suppose 5*u + 5 = 0, 2*c = -r*c - 3*u + 5. Suppose -3*i + 5*g + 13 = 0, 5*i - c*g + 4 = 32. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 944.38 and 1.1.\nAnswer: 1038.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 175352?\nAnswer: -175351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343215 = -170*p + 1178833 + 213282. What are the prime factors of p?\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1950 and 4817800?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*k = w - 2, 4 = 2*k + 2*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-2) + (-2)\/4. Differentiate -t + 9 + 12*u**4 + 4 - 2 wrt u.\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 + 262. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*q + 2599 + 2 = 0, 4*q = -12. What is the greatest common divisor of 1914 and d?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:38 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = -35. Solve -2*d - 3*d = z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/6*(-40932)\/8338.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 61 = -2*b. Let o = -17 + b. Solve 5*k = -4*l + 6*l + o, 2*l + 3*k + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 27. Suppose a*q - 4*q = -82. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*s + 1127, 1123 = 5*s + 4*b - 2*b. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 265*m**2 + 11*m - 56*m + 18*m + 27*m. Let k(i) = -12*i. What is k(x(h))?\nAnswer: -3180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8)*c**(2\/3) assuming c is positive.\nAnswer: c**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -71 and -25040.\nAnswer: -25111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3 + 11*f - 10*f - 3. Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - r**3 + 0*r**2 - 3*r**2 - r**2 + 8 + 2*r**2. Let d = -86 - -122. Calculate the remainder when g(-5) is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-33)*2 - 441*19\/5643.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 722 - 431 = -432*y + 5043 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {o: 2, h: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 8:12 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 28aa9874?\nAnswer: -28aa9873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 239369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 6*k - 13*k. Let f(a) be the third derivative of a**5\/20 + a**2. Determine q(f(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -25*s**8\/336 + s**7\/7 + 11*s**6\/20 - 2*s**5\/3 - 11*s**4\/8 + 3*s**3 - 11*s**2 - 107. Determine i so that r(i) = 0.\nAnswer: -1, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*w - 21107 = -8162, 2*w - 12938 = -2*n. Which is smaller: n or 6471?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.608151 + -16050.605549. Let c = 15997.21 + v. Let z = -71 - c. Round z to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15e9 (base 16) to base 2.\nAnswer: 1010111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 208877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 - 14*m\/3 + 44\/5.\nAnswer: 2*(m - 33)*(m - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 12*r - 25. Determine m(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*(-1)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 + 121. Which is bigger: 10\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 8*o**3 - 10*o**3 - 9*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 8 - 4. What is the hundreds digit of (-163)\/(-3)*(9 + -6) - k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*k**2 + 160*k**2 + 156*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106741145599.999976 - -106740689580. Let h = 456025 + j. Let i = 5 - h. What is i rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-96)\/(-18) + -5). Suppose d*k = k. Solve k = m - 2*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000100011010001110 (base 2) to base 13.\nAnswer: 222242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + (-3 - 0 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 14*t**2 - 3*t + 216. Give c(-13).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 214. Let l = 35.82 + h. What is l rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7455 and 5112?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 130985358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5597*r**2 - 1863*r**2 + 1 - 1 - 1856*r**2 - 1851*r**2.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15 - (-2)\/3. Suppose -o + c - 3 = -c, 5*c = 4*o + 15. Put o, 5, k in decreasing order.\nAnswer: 5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134.9 + 134.9. Put f, -7, 10 in increasing order.\nAnswer: -7, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -107.9 and -6.\nAnswer: -113.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 3:25 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2272629 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 s, and 1 c when four letters picked without replacement from osssjsssosscsjosoj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 3, r: 5}. What is prob of sequence unu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4 + 54*l**3 - 242*l**2 + 186*l = 0.\nAnswer: -31, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*d + 3*x + 203, -23*d + 22*d + 8*x = 11 - 9 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 + 187. Let s(f) = f**2 + 18*f - 19. Let z be s(-19). Is 38 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7775994603*w + 7775994603*w - 8*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 18755640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2 (c) -16 (d) 3\/8695 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2736))**2 - (-5 + (0 + sqrt(19))**2).\nAnswer: 2722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 0*r + r)*(-3 + 1 + 3) + 79*r - 9*r - 44*r in the form v + c*r and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264*g**2 + 2693*g?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*d**2 - 2*d**2 + 2*d**2)*(26 - 26 + 76*d**2).\nAnswer: -1672*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-40)\/25*(16 + -21)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -2, 44, 162, 382, 734, 1248?\nAnswer: 1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 (base 16) in base 7?\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21248 - 21873 = 25*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i = 40707 - 37211 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -813 >= -449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*b - 28, 4*l + 5*b + 752 - 713 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3768800.\nAnswer: 2, 5, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 - 60*j**2 - 4*j - 26. What is the remainder when 225 is divided by y(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -31. Let a(g) = -g. Let t(o) be the third derivative of -o**5\/60 + o**4\/24 - o**3\/3 + 4*o**2. Let s(z) = q*t(z) - 6*a(z). What is s(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-20)\/15)\/((-1)\/126))\/1 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39578 is divided by 18102?\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7756.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 317041, 317056, 317065, 317062, 317041, 316996?\n\"Answer: -p**3 + 3*p**2 + 13*p + 317026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -939\/8 - -117. Suppose -m - 2*m + 21 = 0. Suppose -4*q + 2*q - m = 3*c, -2*c = -q - 7. Which is greater: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -27, 13*o - 17*o = 5*u - 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*r**2 - 186*r**2 + 6 + 381*r**2.\nAnswer: r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*r**3 + 61*r + 2*r**2 - 61*r)*((-1 + 3 - 3)*(2 - 3 + 2) - 3 + 2 + 4).\nAnswer: 30*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/6 or 1\/2?\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 28704 = -1000*s + 124*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:00 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 19*w**2 + 17*w + 17. Let b be 3\/(81\/12) - 1580\/(-90). What is n(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35624502 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 15 = 2*k, 2*k - 1744*i = -1739*i - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 78464*x + 384787456.\nAnswer: 4*(x + 9808)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 8. Let u(m) = 7*m + 15. Let o(v) = 6*u(v) + 11*y(v). What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/3)*n)\/(n\/((n*n**(-8))\/n)*n)*n\/n**(-1\/3)*n**0\/n assuming n is positive.\nAnswer: n**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2689, -2693, -2697, -2701, -2705?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - b**2. Let p(m) = 8*m**3 + m**2 + 4*m + 4. Let y(d) = -3*j(d) + p(d). Let o(v) = 12*v**3 + 5*v**2 + 5*v + 5. Give -4*o(q) + 5*y(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:45 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 14*u**2 + 679*u + 7180. What is i(-11)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -22.6. Sort 0, s, 2 in decreasing order.\nAnswer: 2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 197427 - 98711 - 4574*j - 98716 in the form a*j + l and give a.\nAnswer: -4574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let w(b) = b**2 + b + 1. Let n(i) = -12*i**2 - 3*i - 3. Let k(t) = n(t) + 3*w(t). Give k(v(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 135080764 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40081262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-312)\/65))\/(-50*1\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -9\/2. Sort -2, 1\/3, -5, t.\nAnswer: -5, t, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3\/2*s**2 - 216 - 111*s = 0.\nAnswer: -72, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41382 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*m**4 + 6765*m**3*z + 2*m**2*z - 2*m*z - 509*m + 29*z wrt m?\nAnswer: 576*m + 40590*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -655235727359 + 15\nAnswer: -655235727344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -20*m**5 + 16*m**4 + 24*m**3 + 32*m**2 - 4*m. Let b(s) = s**5 - s**4 - s**3 - s**2. Let g(t) = -24*b(t) - n(t). Determine h so that g(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 5 = 2*r + 50 + 57 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 21*w + 1773. Let z(o) = -12*o. Determine z(a(t)).\nAnswer: -252*t - 21276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12 and -43\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 14*m - 6. Let z be v(-14). Let y(t) = -t**2 - 9*t - 9. Calculate y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29518 and 5224?\nAnswer: 77101016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1531 - -1495) + -2 + 45\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 2*g**3\/3 - g**2\/2 + 8. Let m be i(2). Solve -2*h + m = -4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 6 = -t, 4*j = 5*t. Let l = 6 - 1. Suppose 10 = l*x, -3 = -5*i - 3*x + 3. Solve t*k = -i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.586 + 9.586. Let i = 0.1 - 0.2. What is the third smallest value in a, -2\/7, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 + 17*g + 23. Let b(m) = -m**2 + 3*m. Let d(f) = 2*b(f) - j(f). Find the first derivative of d(c) wrt c.\nAnswer: -10*c - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15655 is divided by 1950.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168338559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5 - (-8 + 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (815 - 820) + 6*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 101, 145, 189, 233?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33811040?\nAnswer: 2, 5, 211319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 2, t: 2, a: 1}. What is prob of picking 1 a, 1 p, and 1 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -41 - 7) + (-12)\/(-4) + -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = x - 3*x - 10, -3*y + 27 = 3*x. Let i = 3 + -3. Suppose -2*r - 3*r = i. Solve 5*d + x + 20 = r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -152*u + 743. Calculate d(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254987\/91152 - -11\/10128. Calculate the common denominator of 137\/228 and q.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 8*o**2 + 8*o + 9. Let j be h(9). Suppose -b = 3*z - 12, -18 = -j*b - b + 3*z. Solve -b = 5*y - 5, -3*w + 11 = 2*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 13*b = 44 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 2240.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 43825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from lvllhtttlxxllth?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -326 + 326. Solve 0 = -x*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/1) + 16 + 71 + -80.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let p(j) = -30*j - 3. Let g(w) = 12*l(w) - 3*p(w). Let v be g(3). Suppose 0*u = -3*u + v. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-4\/9)*n*n**(-3\/7)*n**(2\/19)\/n**(2\/17) assuming n is positive.\nAnswer: n**(61118\/20349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 87. Let r be g(-15). What is the closest to -1\/4 in -1\/3, 5, 0, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36362213?\nAnswer: 233, 156061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*k + 608 = 0, n - 4*k + 16 = 173. Calculate the remainder when n is divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3612)\/18 - 3\/9. Let l be v\/(5\/(-4) + 3\/12). Let n = l + -391\/2. Find the common denominator of -91\/62 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988095 = 524*s - 509*s. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 4*c - 3. Let n(s) = -s**2 - 5*s - 4. Suppose 0*m - 4*m + 24 = 0. Let d(o) = m*w(o) - 5*n(o). Factor d(x).\nAnswer: -(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29189 = 14*w - 22471. What is the lowest common multiple of 10 and w?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k - 2. What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(sqrt(2448)*1 + 3 + sqrt(2448))**2 - (((1*sqrt(2448) + sqrt(2448))*2 - sqrt(2448)) + 2*sqrt(2448) + 2)).\nAnswer: -49006 - 780*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, j: 5, n: 4, q: 5}. What is prob of sequence gsn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202210220221011 (base 3) to base 5.\nAnswer: 10312412323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.33 - 0.33. Let z = u - 21.999988. What is z rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t + 18. Suppose 41*q - 42*q = 0. Calculate p(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.58 + 4.3. Let x = -0.12 + t. Let k = x + -4.6. Which is the nearest to -4? (a) -0.3 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14756.2 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 3*k + 8*k)*(-2 - 1 + 4 - 8*k) to c*k**2 + a + t*k and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + -1 - -3) + 2. Let f(c) = 163 + j*c + 2*c**2 + c**3 - 162 - 3*c. Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**4 + 8*m**3 - 8*m**3 + (-6 + 1 + 3)*(-m**4 + m**4 - m**4).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -57. Let n(w) = 26*w**3 - w**2 - 4*w**2 - 19*w**3 - 8*w**3. Let a(o) = -6*o**2. Give h*n(f) + 5*a(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = x - 3*x - 2, -3*k = -5*x - 5. Let v be 8\/12*(283 + x). Suppose 5*y = -r - 9 + v, -979 = -5*r + 3*y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 90614.91 millimeters?\nAnswer: 90614910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 102?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 11 = 5*y - 2*z, -22 = -2*y - 3*z. Let w(a) = 2*a**2 + 10*a - 60. Let b(i) = -i**2 - 9*i + 42. Let r(k) = 3*b(k) + 2*w(k). Calculate r(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 10:54 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t**5\/7 + 92*t**4 - 13404*t**3\/7 + 97024*t**2\/7 - 247216*t\/7 + 203520\/7 = 0.\nAnswer: 2, 15\/2, 16, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2*(0 + -1). Let l = 2 - x. What is the remainder when 15 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61521*c**5 + 2*c**3 + 16270*c**2 - 2?\nAnswer: -3691260*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**2 + 0*u + 1\/24*u**4 + 0 + 0*u**3. Let x(y) = 41 - 5*y - 41. What is x(d(n))?\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -93. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1372*k + 19. Let l(q) = q + 21. Let c = -6 + -11. Let y be l(c). Is a(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**10\/5040 - v**6\/72 - v**3\/2 + 8*v**2. Let u(h) be the first derivative of t(h). Find the third derivative of u(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/8 - -3)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 31*x = -30*x + 2, -2*t - 2*x - 12 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 - (-71247)\/119 - 1. Which is smaller: 599 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbwa when four letters picked without replacement from asblw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 74, -3, -16, 0.1, 1\/5 in descending order.\nAnswer: 74, 1\/5, 0.1, -0.6, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*m - 347*m + 33 = 0. Let s(k) = 12*k**2 - 5*k - 7. Let f(b) = -6*b**2 + 3*b + 4. What is m*s(v) + 5*f(v)?\nAnswer: 6*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2646*5\nAnswer: -13230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s**(1\/5)*s*s)\/s*s*s*s*s*s)*s)**(-1)\/(s**(1\/2))**(8\/3) assuming s is positive.\nAnswer: s**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*u - 153*u - 52*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 8. Suppose 4*y + 15 = -33. Let v be c(y). Suppose -3*g = -g + v*u - 38, 4*g = -3*u + 51. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24478448?\nAnswer: 2, 1529903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-940)\/(-350) - ((-6)\/(-21) + 0). Let r = -743 - -3733\/5. Factor n*u - r - 2\/5*u**2.\nAnswer: -2*(u - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 55*i + 23. Let c(r) = -r**2 + 19*r - 8. Let s(g) = 8*c(g) + 3*v(g). Let k(w) = 6*w - 2. Give -5*k(n) - 2*s(n).\nAnswer: -2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30061 and 233953.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1982 = -2*q - 160, 2*x - 2*q = 908. Suppose 3*p + 2*c - 150 - 117 = 0, -2*p - c + 179 = 0. What is the highest common divisor of x and p?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 743315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*935.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48772 in 1\/6, 2\/13, 2, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:03 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 1. Let d(l) = 3*l**2 - 5. Let n(u) = d(u) - 5*f(u). Let q(b) be the first derivative of -b**2\/2 + 19. Determine q(n(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 - 13*x + 4. Let u(o) = -2*o**3 - 12*o**2 + 18*o + 13. Let b be u(-7). Is g(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -305*y - 13*y**3 + 25*y**3 - 110 + 97*y**2 - 123*y**2 - 239*y**2 - 82*y**3 = 0.\nAnswer: -2, -1, -11\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1488?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 125949384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 931*b - 936*b + 4415455 = 0. Let o = b + -7210091. What is o rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 3. What are the prime factors of 33*(-5)\/(45\/r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 8*g**2 + 7*g + 3. Calculate the remainder when v(7) is divided by ((-2)\/(-6))\/(6\/54).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + y + 22. Let g = 193 - 183. Suppose g*j = -12*j + 7*j. What is z(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-18)\/3))\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 624 and 4176.\nAnswer: 54288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -136 in -1\/9, -1\/5, -5, -4\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24080 + -24073. Let h(n) be the first derivative of -7 - 1\/3*n**3 - 3*n**2 + r*n. Give h(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*a**2 - 513 - 49 - 607 - 136*a**2 in the form h*a**2 + i*a + v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -15 - (54 - 42 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(825)\/sqrt(3)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20, 17 = 5*a - l + 2. Solve 0 = 5*o - a*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let p(c) be the third derivative of -c**7\/2520 - c**5\/15 - 5*c**2. Let g(s) be the third derivative of p(s). What is g(h(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -668?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8830, -17652, -26472, -35290, -44106, -52920, -61732?\n\"Answer: s**2 - 8825*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.6 (b) -22 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101101000111100?\nAnswer: 101101000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*q - 1065*q**3 + 927*q**3 + 424*q.\nAnswer: -138*q**3 + 521*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 1. Let w be f(-1). Suppose w = 3*i - 2*i - 5. Solve 2*v - 4*v = -i*h - 27, 5*v + 20 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.599993088 - -6.6. What is o rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000653 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13210\/13 - 1016. What is the closest to -1\/4 in -4, -1, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1. Let f(q) = 2*q**2 + 5*q - 4. Calculate -f(p) + 4*j(p).\nAnswer: -2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/470080 and -45\/6032?\nAnswer: 13632320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -60629380242.\nAnswer: -60629380242.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 11*j - 45, 315*j - 310*j = 2*v + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 76?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139925, 139947, 139969, 139991, 140013, 140035?\nAnswer: 140057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - 2*m - 7. Let h(n) = -10*n**2 + 4*n + 13. Let l(r) = -4*h(r) - 9*o(r). Let t(u) = 6*u**2 - u - 12. Let w(j) = -5*l(j) - 4*t(j). Factor w(i).\nAnswer: (i - 7)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = w - 0. Let i(l) = 7*l - 1. Let h be i(-2). Let n = h + w. Is -3 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10822939.\nAnswer: 2069, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19753532 + 1933.\nAnswer: 1932.80246468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d. Let x(t) = t**3 + 4*t + 1. Let b be 9\/6 + (-27)\/(-18). Let j = -1 - -4. Suppose 0*v - b = j*v. Calculate v*x(r) + 2*g(r).\nAnswer: r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -5. Solve -q*i + 16 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31 and -9\/97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339 - -320. Let u(o) = o**2 + 20*o + 50. Calculate the remainder when 86 is divided by u(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 3*s**2)*(-13*s**2 - 52*s**2 + 7*s**2) as x*s + b*s**4 + d + q*s**3 + u*s**2 and give b.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 0 + 0)*(1 + 2*u - 1)*(-29 - 15 + 833*u + 44) to the form w*u**3 + k*u**2 + r + i*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:52 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517629.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60417.\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 109 + 241 + 0*p**2 - 132 + 26*p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*r + 100*r + 173*r - 60*r in the form m + y*r and give y.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/295 + 2339\/6195. Suppose 64 + 52 = 29*c. Find the common denominator of 3\/c - 5540\/2160 and q.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318330.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5) + 1 + 4 + 2*(sqrt(2) + -4*sqrt(2))*-1)**2.\nAnswer: 70*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -97. Suppose -5*z - 50 = -i*l - 306, 0 = -4*l + 4. Let m(c) = -3*c - 10. Let b be m(-6). What is the highest common factor of b and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 41. What is the greatest common divisor of 16 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19205 and 0.096.\nAnswer: -0.09605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**10*k*k*k\/(k\/((k**(-1\/13)*k)\/k))*k*k*k**2*k**(-2\/9) assuming k is positive.\nAnswer: k**(-386\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-10))\/(192\/(-1600))*-40*(-18)\/(-225)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1138 + -1678. Round w to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 26 - 50 + 24 - 3*q. Let u(w) = 2*w**2 + 6*w - 6. Let p(m) = -2*m**2 - 5*m + 5. Let o(i) = -6*p(i) - 5*u(i). Give o(h(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 - n**2 - 14*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 5*r + 2*r)*(1 - 1 - r)*(0 + 3 + 0)*(0 - 5*r**2 + 0).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5722654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (60\/8)\/1*2. Suppose 0 = -3*q - c, -3*q = -0*k - k + 17. Suppose -5*t + f + k*f + 3047 = 0, t - 606 = 4*f. What is t rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 + 9*m + 128)*(-4*m**4 + 2*m**4 + m**4).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 2, h: 5}. What is prob of sequence kh?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 26230*o + 30. Let l be c(30). Round l to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 251 + 255 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose p*o - 4*o = -4. Is 18\/5 - o\/(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 13*j**2 - 13*j + 13. Let z be x(-14). Is 2\/5 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251796.3 kilometers to centimeters.\nAnswer: 25179630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 4. Let q(s) = -s + 1. Let b = 6 + -6. Let i = 2 + b. Give i*p(n) + 11*q(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1783 + 2*o**2 + 22*o - 3530 - 11*o**3 - o**4 + 1750 as r + s*o**2 + k*o + b*o**4 + v*o**3 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/112*(-12)\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g - 29. Let o(c) = -43*c**2 + 11*c - 10. Determine q(o(a)).\nAnswer: -473*a**2 + 121*a - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24687615 and 2135.\nAnswer: 172813305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 11 - (-3 + -6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*m = 110*m + 2511. What are the prime factors of m?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 3916.\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*8\/(-32)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141494.8 decades to years.\nAnswer: 1414948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/((-12)\/30). Let h = -10 + 12. Suppose 4*u = -h*j - 12, 5*j + 15 = j + u. Sort j, 0, s.\nAnswer: j, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.09, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/14 + 62\/(-217). Let p be (0 - 2) + 7*(-4)\/(-4). Sort p, b, 0, -1 in descending order.\nAnswer: p, 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/27 and -1\/744.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2672436 by -2.\nAnswer: 1336218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -33.38597?\nAnswer: 467.40358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 27739464*l + 27739464*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -298603 - -4?\nAnswer: -298599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256531 is divided by 85478.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 699896 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 2. Let x be a(0). Let l = -0.3907 - -0.1407. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100422 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2. Let b(m) = 17700533*m. What is b(o(u))?\nAnswer: 35401066*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (182\/156)\/((-5)\/(-30)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5161 divided by 1?\nAnswer: -5161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -15 + 9 + 7 + -1 + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*w = 1 - 3, 21 = 3*j - 3*w. Solve -j = -3*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q + 0 + 0*q**2 - 2\/3*q**3. Let a(f) = 3*f. What is y(a(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, -3, 8\/39, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25, 14, -1\/11 in increasing order.\nAnswer: -1, -1\/11, 14, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9064690 is divided by 3974?\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 128338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:19 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96.39 - -18.69. Round v to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/6 + 338341*b\/3 - 114474632281\/6 = 0?\nAnswer: 338341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364\/464*-1*4 + 39\/(-3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 449? (a) -16 (b) 1\/88 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 1. Suppose 3*u + 4*x = -22, u - 4*u + 5*x = -14. Let l(f) = 22*f**3 - f**2 - f + 1. Calculate the remainder when l(1) is divided by a(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o = 42*o + p - 975133, -o + 5*p - 243769 = 0. Let r = o + 400784. What is r rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 12*y + 11. Let m be u(8). Let k = m + -29. Calculate the greatest common divisor of 112 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-21 - (7 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*t - 34 - 56, -5*t - 2*f - 60 = 0. Let y(i) = i. Let g be y(-4). Let o = g - t. Solve d - 10 = -5*z - 2, 3*d = -z + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 6. Suppose -3*n = -107 - 13. Let x be n\/(-30) - (-100)\/66. Is x less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvyvvy. What is prob of sequence yy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/60 + 5*k**4\/24 - 7*k**3\/6 - 31*k**2 - 2*k. Let t be c(2). Sort -4, t, -3, -5.\nAnswer: -5, -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4210\/65255*(-62)\/(-36).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/((-1672)\/1272 - (-4)\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 878\/91241 or -1?\nAnswer: 878\/91241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.115 * -13371223.\nAnswer: 1537690.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.57 and -4.4?\nAnswer: 4.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 3*d**2 + 26*d - 16*d - d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2322922*v**2 - 131093*v.\nAnswer: 4645844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 6*z - 135. Let h = 19 + -17. Suppose -3*f - d = 4*d - 91, -2*f + 50 = -h*d. Calculate the highest common factor of f and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424743611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 9*y**2 - 5*y - 5. What is t(-5)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 1370 + 243 = 0. What is the first derivative of 992 - j*q**4 - 433 - 448 wrt q?\nAnswer: -644*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622 = -11*a - 852. Let n = -109 - a. 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 remainder when 14410 is divided by 994?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15125, -15127, -15131, -15137?\nAnswer: -15145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 634675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 2*v - 4)*(8*v**2 - 6*v**2 + 11*v**2) to the form d*v + q*v**2 + k + f*v**3 and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 15767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*n = -215*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-2)\/15)\/(16\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-418)\/(-612) - 4\/18. Let n = g - -2\/51. Is n at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299010 divided by -49835\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6)*5 - sqrt(3)) + sqrt(3)*-6 + -3 + 4.\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115560432 + 0.275?\nAnswer: 115560432.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - sqrt(40)\/(sqrt(4)\/sqrt(2)))\/(sqrt(400) + sqrt(400)*2 + sqrt(400) - sqrt(400)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let t be c + 1 + (-2)\/(-1). Let h(a) = 14*a - 1. Is h(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:15 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19958 - 20052) + (-11 - -4 - (-1 + -2 + 1)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:57 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 = 1. Let r = -3 + b. What are the prime factors of 0\/2 - 16\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 1, b: 1, v: 1, u: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(7\/3)*t)\/t)\/(t\/(t\/((t**(-1\/3)*t)\/t))*t*t)*(t\/t**9)\/((t\/t**(1\/14))\/t) assuming t is positive.\nAnswer: t**(-305\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 197*(0 + 0 - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 89, 81, 73, 71, 81?\n\"Answer: l**3 - 6*l**2 + 3*l + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*w + 5, -2*w - 6 = -4*j - 0. Let a = 6376\/7 + -293485\/322. Let g = a + 2\/23. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 131 = 142 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5963078 + 3963078. What is j rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10936 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 1\/11, -31, 37, -4\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7706228ml to litres.\nAnswer: 0.0007706228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25497303087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:11 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160904*z = -160781*z - 3075 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u + 2. Let g be h(0). Suppose -3*l + g = -10, -2*l = 3*k - 20. What is the greatest common factor of 16 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3644285084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3721 (base 8) to base 14\nAnswer: -a2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 562*j**2 + 3*j - 5. Let d be b(-5). Let k = -3917 - d. Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(18) + -3 + -5 + (-1*sqrt(14)*1)\/(-1*sqrt(700)) + 0.\nAnswer: -10 + 31*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v - 93*v + 232 = -66*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2180241*k**3 + 107520 wrt k?\nAnswer: -6540723*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 54.214. Let r = j + 0.314. Which is the nearest to 2\/3? (a) 1\/4 (b) 0.3 (c) 7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfrr when four letters picked without replacement from {r: 2, m: 1, f: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 7*a**2 + 8*a - 2. Let d be x(8). Let n = d - -26. What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*(-2)\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let j = 547 + -548. Which is the closest to 1? (a) 0.1 (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.48 and -0.19?\nAnswer: 0.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 + 6*k + 1. Suppose 2*s + 21 = -3*u, -3*s - 11 + 2 = 0. What are the prime factors of w(u)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*l - 160 + 71 = -2*q - 83, 2*q = -7*l - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08609 in -1903, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.03, -1, -274.\nAnswer: -274, -1, 0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 52\/3. Let s = 9.65 + -0.25. Let u = -9 + s. Sort c, 2\/7, u.\nAnswer: 2\/7, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005710632 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -251234 = -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-104)\/10)\/(4\/(-40)). Let f = -96 + v. Calculate the remainder when 31 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqcclqzg. Give prob of picking 1 g, 1 i, and 1 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -1 + 2, 0 = -5*w + 5*j + 245. Suppose q - w = -0. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 15982 (b) -2 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8572331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 - 2*h**2 - h + 5*h**2)*(3*h + 0 + 0)*(-18*h + 122 - 122) to p*h**2 + n*h**3 + a + b*h + u*h**4 and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/67 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k - 3*k)*(4*k**2 - 4*k**2 - 2*k**2) + (3*k**2 - 3*k**2 + 2*k**3)*(-18 - 10 - 1) - 10 - 10*k**3 + 10.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4085 and 774?\nAnswer: 3161790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-30)*316\/316. Which is the closest to 101? (a) 3\/2 (b) p (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i - 71*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 1828*h + 2.\nAnswer: 1828*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - b - 19 = 0, -17*i + 4*i - 26 = -28*i + 12*i - 8*b + 12*b for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/((-35397)\/46) - (-41)\/(-152).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z**5\/11 - 692*z**4\/11 - 6088*z**3\/11 - 16176*z**2\/11 - 6656*z\/11 + 13568\/11 = 0. Calculate z.\nAnswer: -106, -4, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 18. Let j be k(0). What is the highest common factor of j and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540 + 5 - 7 - 3?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(10\/8))\/(2\/15). Let i(l) = 2*l**2 + 2 + 1 + 3*l + h. What is the tens digit of i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 - 3*w**2 - 12*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10010111100 (base 2) to base 11\nAnswer: a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(7)*1 - 3*(1 + sqrt(175)))**2.\nAnswer: 180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011236 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676101 greater than or equal to 1676065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6459781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f**2 + 53*f - 280. Determine k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 23*v - 7353 = -50*v. What is the second biggest value in v, 4, -1.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*2\/(-10) + (-18)\/45. Which is the closest to 1\/2? (a) 3 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 1 + 2*w**2 - 2*w**2. Let l be t(1). Let c = 5 - l. What is the highest common factor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(3*l - 6*l - 8*l) - 4*l + 9*l - 13*l as m + c*l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 - 317 = 45*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420.7 + -77.7. Let m = -343.821 + t. What is m rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let i(z) be the third derivative of z**4\/12 - 4*z**2. Determine i(s(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-1)\/(-27) + (-7 - 3897\/(-567)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-14) + (-12)\/84. Let i(h) = 3*h - 6. Let c be i(4). Let g(b) = -6*b + c*b - x*b. Let m(v) = -2*v. What is m(g(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 13*r**2 - 149 + 304 + 4*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 14*b**4 + (b**2 + 2*b**3 - b**2)*(-b - 4 + 4).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 13. Calculate i(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*p**4 + 760*p**3 + 1605*p**2 - 950*p + 125.\nAnswer: 5*(p + 5)**2*(4*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68257 and 1933148?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**3\/3 + 5*k**2\/2 - 11*k + 3338. Determine m(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 2*d**2 - 106*d - 10. What are the prime factors of y(11)?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3778*b**4 + 79*b**3 - 3*b**2 + 117749*b?\nAnswer: -90672*b + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283490935, 283490936, 283490937?\nAnswer: 283490938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2 = -3*n, 3*i + 3 = -3*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-11) - 136\/22. Put n, 0, -2 in descending order.\nAnswer: 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -162 in decreasing order.\nAnswer: 4, -3, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 + 7*x**2 + 2*x. Let f(z) = -4*z**3 + 8*z**2 + z - 1. Let u(j) = 4*f(j) - 5*r(j). Let p be u(-2). Solve 2*b + 6 = -p, g + b = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - k + k)*(-24 - 10 + 4) as i*k**2 + l*k + q and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 16 = -2*a + 6, -12*a + 10*a + 4*n - n + 1 = -7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*c**3 + 326*c**3 - 138*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 24257 = 48604 - 24293 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -266, -345, -424, -503?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 + 909883*t - 909883*t - 4*t**4 + (-t - t**2 + t)*(5*t**2 - 2*t**2 - 2*t**2) as f*t**4 + c + r*t + q*t**2 + k*t**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus 1060.3192?\nAnswer: 1061.0192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 13. Calculate the least common multiple of 1 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105555153 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - 1110011010111101001010110?\nAnswer: -1110011010111101001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 11 - 3 = 0. Let t = v - 1. Solve -3*k - t - 3 = -2*y, 0 = -3*k + 3*y - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 7*r + 11. Let p be f(5). What is the third smallest value in -2, 3, p, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 139337 - 2*l - 139337. Let d(h) be the second derivative of 59*h**4\/3 - 6*h. What is d(j(x))?\nAnswer: 944*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19680853 take away -5?\nAnswer: 5.19680853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0, 0.17, -5, -0.3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5, -f + 5*f + 4 = -4*l. Factor -2\/5*w**2 - 4\/5*w + f.\nAnswer: -2*w*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8*l = 6*l + 14, 4*h = l - 28. Let r be 2 + -4 + 21 + h. What is the greatest common divisor of 117 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)\/5 + (-8)\/(-60).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4 + 12 = -4*x, -18 = -3*x - 3*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74.314 - 24.314. Which is the third smallest value? (a) -3 (b) p (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*u**3 + 224*u**2\/3 - 76*u + 40\/3.\nAnswer: -4*(u - 5)*(u - 1)*(9*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 250.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**8\/336 - 27*r**7\/70 + 2*r**5\/15 + 19*r**4\/24 + 27*r**2 + 3*r. What is the third derivative of o(n) wrt n?\nAnswer: -60*n**2 - 1944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 71 + 6 = 0. Let p(w) = 9*w**2 + 3*w - 11. Let a(n) = -4*n**2 - n + 5. Let f(q) = -7*a(q) - 3*p(q). Calculate f(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 111. Let n be j(0). Let u = 170 + n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028031495 rounded to six dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -88\/1335721?\nAnswer: -88\/1335721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360 - 333*v**3 + 30*v**5 - 60*v**4 - 122*v**2 - 780*v - 243*v**2 + 48*v**3 - 35*v**5 - 305*v**2.\nAnswer: -5*(v + 2)**3*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 13\/6*g**3 + 0*g + 3 - 27*g**2 - 1\/6*g**4. Let b(m) = 2*m**2. Give r(b(n)).\nAnswer: -8*n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/85 - -647\/340. Solve -1\/4*f**3 + u*f**2 + 1\/4*f**5 + 0*f - 3\/4*f**4 - 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1 - 2)\/(2\/(-4)). Let o be (f + 76\/(-20))*45\/(-27). Solve o*c - 25 = 2*h, 5*c = -h - 6 + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 118 + -3 - (15 - (33 + -7)) - -11?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -2129, 0, 122.\nAnswer: -2129, 0, 48, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 855584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 106616044*k + 106616040 = 0 for k.\nAnswer: -26654010, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9525419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18276, 18916, 19592, 20310, 21076, 21896, 22776?\nAnswer: 23722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-20)\/(-105)) - 12\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3431093 and 18?\nAnswer: 61759674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1220*u - 1255*u + 2478*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/12) + (-29256)\/(-2484)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21871094 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 767919001\/2978 + -257864. Is m equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -9. Let y = 1 + q. Let j(n) = n**2 + 11. What are the prime factors of j(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 23 = 2*u + 7, -u + 5*t = 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -11*n**4\/24 + 5*n**3\/2 - 1718*n**2. Let l(m) be the first derivative of m**2\/2 - 9. Calculate h(l(i)).\nAnswer: -11*i + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2742 - 2597. Let r(c) = c**2 + c + 2. Let v be r(7). Calculate the greatest common factor of v and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 5*o**2 + 13*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -71418?\nAnswer: 71416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -675678 to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 6*g + 5. Let v be p(-3). Let r = 2 + 0. What is the third derivative of -2*f**2 - 3*f**2 - v*f**4 + 3*f**r wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328*c*w**3 - 3*c*w**2 + 37*c*w - c wrt w.\nAnswer: 1968*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25997803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 137 = -w - 142, -2*w - 10 = -k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-9) + 12\/(-54). Suppose -b + 4*b = l + o, 4*b = 8. Solve -19 = l*x + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 3, 6, -2, -5, 4 in descending order.\nAnswer: 40, 6, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38526431176650 plus 5?\nAnswer: -38526431176645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 + -14.5. Let d = 13.3 + o. Let p = 0.833 - 0.743. Put d, 2, -0.3, p in ascending order.\nAnswer: -0.3, p, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(208)\/(-2*sqrt(8)))\/(2*sqrt(50)).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238787?\nAnswer: 2238787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -42*s**3 + 2*s + 8. Let w(z) = 42*z**3 - 9*z - 10. Let g(y) = -62*y**3 + 14*y + 15. Let m(v) = -7*g(v) - 11*w(v). Calculate 5*k(a) - 8*m(a).\nAnswer: 14*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 449047 from 0.4.\nAnswer: -449046.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*z - 97, -2*z + 489*y - 38 = 487*y. Which is the nearest to -2\/5? (a) z (b) 4 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*b - 55 + 6, a = -b + 7. List the prime factors of b*(3 - (-200)\/15).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 5*u - 24, -54*u - 46 = -4*h - 68*u + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116936 and 0.154?\nAnswer: 18008.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15733 - -14670. Are u and -1063 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 66. Let g be s(21). Solve -11 = -g*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16023\/368 smaller than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*c - 12*c - 40*c + 10*c + (2 - 2 + 3)*(c + 0*c - 2*c).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 - -80 - (0 - 1 - (-2 + 4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -21*o - 115. Let i be v(-9). Solve 0 = -17*m - i + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 1233*f**3 + 145485*f**2 + 6817443*f + 112551012.\nAnswer: 3*(f + 53)**3*(f + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-2 - sqrt(561)\/(sqrt(33)\/sqrt(3)))\/((sqrt(3) + sqrt(75)*-1)*2).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1300\/(-35) - (-2)\/14. Let d = -29 - a. Calculate the remainder when 10 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004648 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24 and -7\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2 = 0, -2*d = -y - 32 + 17 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-105))\/(16\/56)*(29 + (317 - 36))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 611, 990, 1461, 2054, 2799, 3726, 4865?\nAnswer: 6246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 6*(1 + sqrt(68)) + sqrt(68) + (sqrt(68) + (0 + sqrt(68) - sqrt(68)) + sqrt(68))**2 + -4)*-6 + 4.\nAnswer: -1640 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/5 (b) -21 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-3)\/(3\/(-4)). Determine n so that 5*n**2 - 2*n**2 - 3*n**3 - n**4 + n + 2*n - 2*n**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**2 - 82*a**2 - 7*a**2)*(31 - 15 + 36) in the form w*a**2 + x + r*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -66. Let i(n) = -63*n + 12. Let g(w) = -21*w + 4. Let h(y) = 11*g(y) - 4*i(y). Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15. Let p = 377.2 - 302. Let u = p + -76. What is the nearest to 0 in 1, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Let o be 1\/((z + -4)\/(-15)). Solve x - g - 8 = -o*g, x - 5*g = -1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -381 + 1051582?\nAnswer: 1051201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3750644 times -3?\nAnswer: 11251932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 215 + 3*y**2 + 215 in the form q*y + o + i*y**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112587037?\nAnswer: 4783, 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/499?\nAnswer: 2\/499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.1, -139, 2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 7*m + 0 + 1\/3*m**4 + 1\/20*m**5 + m**2 + 5\/6*m**3. Let t(s) = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = 3, -3*t - 5*y - 1 = 0. Let x be -5*(0 + t\/6). Which is the biggest value? (a) -2\/19 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from {e: 2, p: 6, t: 7}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -9 + -5 + -10 + 8 + (-1 - -19).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52195.84 litres?\nAnswer: 52195840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 3*l + 1. Let p be o(2). Suppose 0 = 3*v - p. Which is bigger: 2\/21 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17953*w*x**4 + 28421*w wrt x?\nAnswer: -71812*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 177 + 889*n**2 + 138*n + 892 - 70*n - 68*n wrt n.\nAnswer: 1778*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3675 is divided by 460?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.41 - 0.09. Let p = k - -0.5. Let n(f) = -f**3 + 23*f**2 + 5. Let d be n(23). Which is the third biggest value? (a) 2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5772*r + 138534. Give b(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1026*q**2 + 633*q**2 + 308*q**2.\nAnswer: -85*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 + 1. Let p be f(6). Let i = p + 2. Let a(m) = 4 + 0*m - 3*m - 3*m + 0*m + m**2. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = 2. Is t\/(-6)*(42 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -507 - -6595\/13. Let z = 193\/1001 + -3\/77. Factor 0 - z*d**2 + m*d - 2\/13*d**3.\nAnswer: -2*d*(d - 1)*(d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/140 + 7*z**5\/30 + 61*z**4\/84 + 5*z**3\/7 + 123*z**2 - 1. Factor r(f).\nAnswer: 2*(f + 1)*(f + 15)*(3*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 0.18\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00919681 rounded to 4 decimal places?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l - 1. Let k(b) = -b**3 + 5*b**2 - 9*b - 6. Let z(c) = k(c) + 2*o(c). Let d be z(-6). Let t = 1 + d. Let m(w) = -2*w + 1. Give m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22287\/32 + 695. Find the common denominator of -23\/8 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43864966 divided by -743474.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -81*k + 3240. What is the lowest common multiple of k and 378?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*k = 552, -2*q = -0*q + k - 213. Calculate the remainder when q is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = -8*x - x. Let q = x - 51. Suppose -j - 355 = -8*s + 4*s, 0 = -q*s + j + 175. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 2495.33.\nAnswer: 2495.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + g - 17, 3*g - 3 = -k + 6. Calculate the smallest common multiple of 8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1409 - -1547. Solve -118 = 5*v - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420750217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2443*t - 17858 = 214227 for t.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/952*28*(-3)\/(-7)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181.5 - 149. Let v = -491 - -464. Let m = g + v. Round m to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 313?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -6 + (18 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253 - -230.7. Let c = 0.51 + 20.49. Let j = x + c. What is j rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/425 and 149\/6.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48319052?\nAnswer: 2, 19, 635777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = h - 2, -2*i - 252 + 257 = h. Suppose -p = -0*p. Solve h*y - 6 + 15 = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00347382955 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4678 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30699028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6427.483g?\nAnswer: 0.006427483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 6*l + 7. Let b be j(5). Suppose 0 = -q - 4*o + 14 - 7, 2*q - 5*o = 1. Let s(d) = 61*d**2 + q - b*d**2 - 3. Let a(x) = -x. Determine s(a(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 + 260115*m**2 - 3*m - 260115 = 0.\nAnswer: -86705, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - 4 - (-18 + -1 - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2508 - 0.9508. Let z be ((-40)\/(-14) - 4) + 1. What is the nearest to z in -7\/3, f, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d + 8*d - 11*d)*(-12 - 4 + 4)*(d - 4*d + 4*d).\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 944401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5001 - -5204. Calculate the remainder when 699 is divided by a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1*(-1 - 1)). Suppose l*y - 20 = -3*y + 5*n, 14 = 3*y + n. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 3:01 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 31*g**2 + 39*g**2 - 76 in the form n*g**2 + f*g + q and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1267584 divided by -13204\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*r**3*s**3*t - r**3*s**2*t + 34989*r**3*s**2 - 2*r**3*s + r**2*s*t + 6319*r*s**3*t + 3*r*t + 3*s**3 + 2*s**2 - 3*s*t wrt s.\nAnswer: 84*r**3*t + 37914*r*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3544*y = 143363 - 37043 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 41*r**2 + 2*r + 5. Let t be s(-2). Let g be (20\/12)\/(34\/918). Calculate the greatest common divisor of t and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(39)\/sqrt(3) - -2*sqrt(1573) - (2*sqrt(117)*-5)\/sqrt(9)).\nAnswer: -66*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6178*o + 29202 = -164719 - 9953 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 9*r + 7. Let l be x(-9). Suppose 2*t + 5*i = 41, -3*t - i = -15 - 40. Let z = t + l. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:10 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iii. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 2. Let w be b(-8). Let o be (-2)\/w*(-42)\/(-1). Is o greater than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 17*y - 354. What is the remainder when 731 is divided by z(28)?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8040 and 839240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d + 0*d)*(0*d + d - 2*d)*(-1 + 1 + 4*d**3).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.054.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 2248*f**3 - 421872*f**2 + 26576440*f - 26156812 = 0.\nAnswer: 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80801611.\nAnswer: 11, 41, 179161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgvdrrdvaarvvaravagg. What is prob of sequence vd?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3336.73 litres to millilitres.\nAnswer: 3336730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1435*z + 41619. Give u(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 + o**3 + 2*o**2 + o**3 - 3*o**3 to d*o**2 + p*o**3 + b*o + l and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 14*f - 4. Let v(i) = -2*i**2 + 27*i + 9. Let l(m) = -7*g(m) - 3*v(m). Is l(16) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8971 - 302.3.\nAnswer: -299.4029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1245 - 161*x**2 - 134*x**2 + 160 - 198 - 187 wrt x?\nAnswer: -590*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/(-72)*(-66)\/(-2156).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 5:21 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 140054257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -1 (c) -10\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 438 and 581307906?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Let f(m) = -m**2 - 17*m - 23. Let s be f(-16). Let k be ((-357)\/12)\/s - 1\/4. Solve -q*a = -k*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o**2 + 5*o + 5. Let t = 25 - 26. Let z be x(t). Suppose -2*y - 4*v + v + z = 0, 2*v - 6 = 0. Solve -5*p = -y*k + 22, -3*k + 3 = 4*p - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/521 - -4679\/2605. Which is smaller: -1\/5 or g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 1. Let f(a) = 24*a - 33. Let p(x) = -2*x + 132 + 5*x - 136. Let h(j) = -6*f(j) + 51*p(j). Let b(z) = h(z) + 6*q(z). Let u(d) = d. Give u(b(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6017 and 8759427346?\nAnswer: 8759433363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 25*w**2 - 163*w + 63. Give t(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, k: 3, b: 3, f: 3, s: 3, w: 2}. Give prob of sequence eee.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.807413\nAnswer: -1.614826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 7*y - 2. Let h be u(3). Let t be -1*h\/4*-4. Solve -t = -0*i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -111. Let h be -7*u\/(196\/(-8)). Is h <= -16\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*u - 5*p - 18, p - 2 = -u. Let v = -5 + u. Suppose 73 - 6 = 4*y - q, v*q = y - 8. What is the greatest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.005 - -4.605. Let i = -5 + d. Let j = -1 + 2. Which is the third smallest value? (a) 2\/13 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87828.48 millilitres?\nAnswer: 87.82848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 86*b**3 + 4*b**2 + 39*b - 90. Give i(2).\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 1 + 8*w - 34*w + 11*w**2 - w**4 + 27*w + 2*w**4 to the form f*w + t*w**4 + v + d*w**3 + y*w**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b + 33. Let f be d(-6). Let z = f - -68. Suppose 3*l - z = -4*j + 1, -j = 2*l - 7. Solve 3*r = c + 1, 1 = c + 3*r + l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-6 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - z. Let t = 178 - 153. Let c(g) = 20*g + t*g + 23*g - 65*g. Give c(x(b)).\nAnswer: -6*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 38389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:21 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 454 (base 6) to base 13\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1781876444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 211*o. Let t(n) = -3*n - 50. Give i(t(j)).\nAnswer: -633*j - 10550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4 - 31*h - 8 - h**3 - 15*h**2 + 4 - 2. Let f be p(-13). Suppose 0 = -y - 45 + f. Solve -4*s - 16 = -5*j, 2*s + j = 4*j - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 231 = -3*d, -2*g + d + 140 = -13. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 2*d + 1. Let h = -5 + 8. Suppose u + 0 = h. Does 12 divide t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 57 - 45. Let a = q + -37. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f = -79*f - 80. Calculate the highest common divisor of f and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 62*192*155\/310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 0 + 3 - sqrt(1573)*-1*-2)**2.\nAnswer: -66*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/8 (b) 30\/13 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3 - 5*b**2\/2 + 27*b + 1985. Let d(w) = 5*w**2 + 8*w - 41. Determine 5*d(s) + 8*n(s).\nAnswer: s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 + 2377 = 7*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.2. Let z = y + 1.5. Let d = 2\/627 - 1280\/8151. Which is the second biggest value? (a) 5 (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 270 = -8*f. Let w be (-4)\/f*30\/(-20). Which is the closest to -0.1? (a) 3 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:49 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(84\/8)*12. Suppose s = 3*i - i. Suppose 2*v + 2*a - 3*a = 49, 0 = 4*a + i. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10 + 2 = 1. Solve 19*l - 5*g - 19 = 16*l, -4*l = -s*g - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 5 = 0. Suppose x*d - k = 6*d - 17, 4*d - 70 = -5*k. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202002 - 301?\nAnswer: -202303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w - 4. Let f be ((-9)\/(-6))\/(1\/(-4)). Let l be i(f). Let c be (-4)\/l*(4 - -1). Solve c*v - v = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 1. Let p(m) = 14*m - 30. Let x(b) = p(b) + 5*z(b). Suppose 86*r - 433 = -89. Let l be x(r). Which is smaller: l or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49183413 or -49183418?\nAnswer: -49183418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - -67. Let z be 4\/24*b*2. Let u = z + -46. Put u, -2, 0, -1 in decreasing order.\nAnswer: 0, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 + 39 = 0. List the prime factors of (y - (-1 + -1))\/((-13)\/1053).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -199*l + 92*l + 80*l + 81 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2411 - -2436.975. Let t = q - -0.025. Let o = -24.5 + t. Which is smaller: -1\/4 or o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 2*y + 0*y - 3*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1429, -1430, -1431?\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212 - -228. Let o(q) = q**3 - 15*q**2 - 16*q - 6. Calculate o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h**(6\/7))\/(((h*h**0)\/h*h*h)\/(h**(-1\/5)*h)))\/((h*h*(h\/h**(-4)*h)\/h)**(32\/5))**(-4) assuming h is positive.\nAnswer: h**(1273\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 66.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6817*h + 11. Let s be l(2). Suppose 3511 = -6*w + s. List the prime factors of w.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 16634*i - 8145145.\nAnswer: -(i - 16129)*(i - 505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48586 - -50277.01. What is v rounded to the nearest ten?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.14538299 + -2.1447. Round i to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, -1, 0.4, 80 in ascending order.\nAnswer: -1, 0, 0.4, 36, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441688 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**3 - 4*k**2 + 1. Let q(d) = -d**2 + 1. Give o(z) - 2*q(z).\nAnswer: -7*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 883484 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: Suppose 0 = 3*k + 16 + 5. Let n = -20 - 39. Let r = n - -58. Which is the closest to r? (a) k (b) -0.4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125322*m - 6567 wrt m.\nAnswer: 125322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5752843 by 16.\nAnswer: -5752843\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/((l\/(l*l*l*l**(2\/7)*l))\/l)*l))\/l)\/l**(-6))**(-2\/7))**(-32) assuming l is positive.\nAnswer: l**(-576\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 6, i: 3, u: 6}. Give prob of picking 2 n and 2 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 * 10.368938\nAnswer: -0.435495396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688293 is divided by 3661.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -64*(2 - (3 - 0)). Suppose -2*z = -12 - n. Suppose z = 3*s - 1. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 4 + 3 + 2 - (-90 - -101).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 9, -5, -2\/7, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3215 - -9342. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdl when three letters picked without replacement from {e: 1, l: 2, c: 1, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.7 * 44.\nAnswer: -250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2.7, -2\/9, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 633 = 4*b - 4*v, b - 4*v + 170 = 0. Put -1, -5, b in descending order.\nAnswer: -1, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7524473 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-33 + (-8 - -37)) - ((-30 - -1) + 0).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1068 - 1117*p + 3596*p + 573*p + 1520*p with respect to p.\nAnswer: 4572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 28*s**2 - 63*s - 18. Determine l(15).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11786 (base 12) to base 7\nAnswer: 125505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3326261 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137544 divided by -1096.\nAnswer: -17193\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - 0 - 3 - (155 - 250) is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1322816\/14)\/2 + (-18)\/42.\nAnswer: 7, 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211 - -213. Suppose 0 = i*a + 3*m + 14, a + 7*m + 13 = 4*m. Sort 4, 5, a, -28 in increasing order.\nAnswer: -28, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72*b + 152*b - 132*b - 1)*(-b - 2 + 2) as t*b**2 + i + v*b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1695 and -97\/2712.\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*u - 5, m + 0*m - u = 5. Let v = -287 + 284. Let o be m\/v - (-33)\/9. Solve 4 = -7*c + o*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2464*a**4 + 26255*a**3 + 2*a**2 - 68*a - 49543?\nAnswer: 29568*a**2 + 157530*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.467 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**6\/60 - 19*i**5\/20 + 131*i**4\/8 - 45*i**3 - 243*i**2 - 7230*i. Let k(s) = 0. What is s?\nAnswer: -1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 1. Let a be 18\/5 + 6\/15. Let f be i(a). Is 2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-3 - (2 + -5)). Suppose 0 = -3*g - 12, -5*k - g - 4 = -2*k. What is the lowest common multiple of (w - (-2 - k)) + -2 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25903718 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1 - sqrt(104))*-1)\/(sqrt(8) + (1*sqrt(64))\/sqrt(8)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1bb32b - -2?\nAnswer: -1bb329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -100, 5\/8, 0.1, 0, 1147?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**3*z**3 - 2*g**3*z**2 - 423*g**3 + 30*g**2*z**3 + 2*g**2*z**2 + 66*g*z**3 wrt g.\nAnswer: 60*z**3 - 12*z**2 - 2538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 17. Let j = p + -16.81. What is j rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -263660292?\nAnswer: 5\/263660292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 8*m**2 + 20*m - 9. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let f be 1\/2 - (-130)\/(-20). Suppose 3*i + 33 = r - 2*r, -3*r - 95 = 5*i. Let x be ((-4)\/(-10))\/(f\/r). Determine l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51154270 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3947247 is divided by 4820?\nAnswer: 4487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27116 - 0.06.\nAnswer: -27116.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4141 = 4*j, 5*j = -0*r + 2*r + 5155. Is j a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c2b (base 14) in base 3?\nAnswer: 2100111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/798 and 55\/9.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c - 3. Suppose 2*x - 110 = -3*x. What is the remainder when -1 + x - (c - -1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2163*a**4*h - a**2*h + a*h - 562*h + 256 with respect to a.\nAnswer: -8652*a**3*h - 2*a*h + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, g: 3, j: 1, w: 7}. Give prob of picking 1 r and 1 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -49*o**3 + 6*o**2 + 24*o - 94. Let x be l(5). Let h = -3928 - x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:08 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-252) - (-14)\/(-21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 290013156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/10331972 and 111\/44.\nAnswer: 113651692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15246 = -19*y + 28*y. Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263 and 14137565.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1060*a**2*o - 312*a**2 wrt o?\nAnswer: -1060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1197661.55?\nAnswer: 239532.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 117*a**2 + 1014*a + 314. Calculate j(-48).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*o = 717 + 1019 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2 - 0\/(-1). Let f be 90\/(-720) + 1 + (-6126)\/16. Let s = 381 + f. Sort 0, s, g in increasing order.\nAnswer: s, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.42 - 3.42. Let j be 6\/(-9) - 22\/(-120). Let a = j + 3\/20. Does a = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-3))*k)**34*k\/k**5*k*k**(-9)\/k*k assuming k is positive.\nAnswer: k**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*d**3*q**2*x - 2*d**3*q**2 + 4*d*q**3 - 660*d*q**2 - 24*d*x + 2*q**3*x with respect to x.\nAnswer: 70*d**3*q**2 - 24*d + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5307906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -223270 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, -54145, -2, 4 in decreasing order.\nAnswer: 5, 4, -2, -3, -5, -54145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -31689 at least 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/8 + -5)\/(-4). Solve 13*y - 11*y - 4 = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2976bb (base 15) to base 5.\nAnswer: 1002441101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 27*c - 55. Let j be x(25). Let s be 5\/(-6)*(-4)\/(-10). What is the smallest value in -6, j, s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 14322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/47 (b) 1\/4 (c) -8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34141 - 3042242?\nAnswer: -3131433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 2*r. Let l(o) = 5*o**2 - 6*o + 14. Let u(z) = 11*z**2 - 11*z + 28. Let v(n) = -9*l(n) + 4*u(n). Let m be v(8). Give a(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 8*f + 7. Let h be u(6). Suppose 3*i = 5*g - 140, -2*i + h = 3*g - 65. What is the tens digit of -2 + g + (-3 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -1*(-4 - -2). Suppose -3*g + x = g, -2*r + 2*g = -306. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*v**5 - 6507*v**3 - 2*v**2 - 3*v + 10981 wrt v.\nAnswer: 3900*v**2 - 39042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minus 9266561562?\nAnswer: -9266561435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 36. Suppose -47 - o = -2*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 13*a**3 - 3*a**2 + 6*a - 26. What is the lowest common multiple of z(5) and 1998?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328617 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 p be 2\/(-6) + 2\/6. Let t(x) = -x**3 + x + 10. Let c be t(p). Suppose -v = -5*i + 8, 4*v = -2 + c. Solve -3*y - 15 = i*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-702)\/(-102) - (2 + -1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 15. Let x(r) = -6*r. Let y be x(-2). Suppose -4*c + y = -3*c. Calculate the highest common factor of c and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 22. Let p be a(-3). Suppose z - 107 = -2*b + p*z, -76 = -b + 5*z. Suppose 216 = 5*v + b. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/30 - 5*r**3\/6 + 872*r**2. Let f(g) = -2*g**2 + 5. Calculate -3*f(l) - 2*o(l).\nAnswer: 2*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/28 and -26\/11.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*35.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1388795.1 months?\nAnswer: 11573.2925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*l - f, -l - l = f - 18. Suppose 3 = 5*k - l. Solve -4*c = d - 2, 0 = 3*c + 2*d + k - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -6. Let u be 48\/10 - p\/30. Solve 2*m + 11 + 7 = 2*n, u*n - 5 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 15*r**2 + 16. Let j be m(-15). Suppose 4*a - 12 = 0, -5*x - j = a + 6. Let i be x\/(10\/106)*-10. What is i rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4512+-10442\nAnswer: -14954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.960983 kilometers?\nAnswer: 896098.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 760287 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 11 = 3*a + 8*c, 5*a + c = 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.295 + 156.705. Let n = -157.067 + x. Round n to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z - 38 - 22 + 60 + 87*z.\nAnswer: 69*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-4 - 5124945\/10*(-12)\/28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 + 1819 = 2*i. Let o be ((-16)\/(-10))\/(42\/i). What is the closest to -1 in o, -2\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 4*k**2 - 2*k - 4. What is d(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 3*j - 12. Let x = -26 - -21. What is g(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2784 and 973152?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-12)\/4) + -2 + 0. Let b be 10\/g*2 + 9 + -1. Solve 0*y = -b*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-22)\/(m\/(m\/m**(-6\/19))))**(-13\/5) assuming m is positive.\nAnswer: m**(5356\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153164 or -153202?\nAnswer: -153202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*z - 120 = -5*g - 10, 0 = 529*z - 533*z - 14*g + 302 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -750 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*h**3 + 1431*h**2 - 76473.\nAnswer: -54*h**2 + 2862*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*p + 2 - 61*p - 73*p + p + 0*p + p - 2*p + 0*p + 4*p + (-1 + 4 - 5)*(5*p - 3*p - 3*p) - 3*p - 4*p + 5*p to the form q + b*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**4 - 5*k**3 - 2*k**2 + 2*k - 4. Let g(a) = -a**4 + a**3 + a**2 - 1. Let f(u) = -b(u) - 5*g(u). Find the second derivative of f(p) wrt p.\nAnswer: 12*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeadazxezadxzdzd. Give prob of sequence ax.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4 + 8*k**2 - 6*k**3 + 7*k + 2 + 2*k**2. Let j(h) = -4*h**3 + 7*h**2 + 5*h + 4. Let z = 36 - 43. Determine z*j(l) + 5*p(l).\nAnswer: -2*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 40. Suppose -f*q - 9 = -3*t, -5*t + 3*t + 6 = 4*q. Solve -2*m + l + t = 0, -2*l = m - l - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1456 * -3.04\nAnswer: 4426.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1182*u + 21283. Determine s(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39852 by -246.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066794 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 9:51 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105792511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-130)\/12)\/13*-6. Suppose -a*l + 3*l = 5*y + 3, 5*l - 4*y = 75. What is the highest common factor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 83*x**2 - 4*x - 3. Is a(-1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*s + 338*s + 359*s.\nAnswer: 571*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/60 - 591*m**2. Let r(p) = -30*p - 4. Calculate b(r(z)).\nAnswer: 900*z**2 + 240*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 1. Let n(a) be the third derivative of a**4\/4 - a**3\/6 - 18*a**2. Let f be 3 + (-1 + 1 - -1). Calculate f*n(m) + 5*v(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 525*a**2 - 3661*a - 367. Give u(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*g**2 + 24*g**2 + 2*g - 998969 + 119*g**2 - 2*g + 998971.\nAnswer: 199*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2300 + -2189. Calculate the remainder when j is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45892.43 kilograms to micrograms.\nAnswer: 45892430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -1107, -1093, -1063, -1011, -931, -817?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2 + 7*o - 16. Let n(j) = -3*j**2 - 4*j + 8. Let s(b) = 5*n(b) + 2*z(b). Let g be s(2). Which is smaller: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -94. What are the prime factors of (-87)\/(-6)*(-100)\/h?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-28)))**(6\/17)\/((w**(-2)\/w*w)\/(w**(-3\/19)\/w)) assuming w is positive.\nAnswer: w**(-2920\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 6)*(0 + -1). Let z be (-6)\/3*k\/(-15). What is the second biggest value in z, -4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 2:59 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y**5 + 133340*y**4 + 12893914*y**3 - 29958832*y**2 + 20702632*y - 3771040 = 0 for y.\nAnswer: -98, 2\/7, 1, 9620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 715\/52 + 5\/((-40)\/6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/3 - 6*b + 175\/3 = 0 for b.\nAnswer: -25, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 - 9*m + 1. Let g be o(4). Let z(t) = -4 + 5*t - 5 - g*t**2 + 14*t**2. Let a be z(-7). Solve y = -p - p - 4, 2*y = -a*p - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1223460 by -6.\nAnswer: 203910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 6*r + 5. Suppose 5*d + 4*k - 3*k = -20, 5*d + 2*k + 15 = 0. Let b be g(d). Find the common denominator of -6\/7 and (-12)\/b*7\/4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 8. Let u be i(6). Suppose 5*m = u*m. Solve m = -2*y + 3*w + 11, 1 - 5 = -2*y - 4*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**8\/840 + g**6\/120 - 4*g**3\/3 - 4. Let t(i) be the third derivative of y(i). What is the third derivative of t(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Are 1\/3 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -324*i + 28613. Give a(88).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92121.46 millilitres to litres.\nAnswer: 92.12146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*r + 1491 - 157. Suppose 0 = 2*t - 4 + 2. Let o be (r - 4) + (0 - t). What is the greatest common factor of o and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 397 + -435. Which is smaller: -73\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4 = s + q, 3*s + 4*q = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**2 + 4*z + 574\/3*z**3 + 0. Let k be s(-1). What is k rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824*x**3 + 492*x**3 - 24*x**3.\nAnswer: -356*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {e: 3, v: 1, y: 4, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/40 - (-938)\/2256. Let b = 2\/47 + s. Is b < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1*(-24)\/(-2). Let j(t) be the second derivative of -t**5\/20 - 5*t**4\/6 + t**3\/2 - 15*t**2\/2 + 117*t + 1. Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(27\/(-27)) - 115\/16.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-245)\/(-14)*(176\/(-20))\/22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 316762 at least as big as 316762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/12359 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6763 (base 10) to base 8.\nAnswer: -15153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 348 - 336 = 0. Is 4 a factor of 301\/5 - v\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1\/3, -1.3, -112, -1 in increasing order.\nAnswer: -112, -1.3, -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -1.4. Let f = -0.31 - g. What is f rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 12. Let k be a(9). Let t be (2 - 39\/k)*-2. List the prime factors of (8\/2)\/(3\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2 - 15422*g - 412752. Give q(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q - 32. Calculate k(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 9*w**2 + 4. Let h be n(9). Which is the biggest value? (a) h (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 0*d**3 - d**3 + (3 - 2 + 5)*(6*d - 3*d - d)*(-2*d**2 + 2*d**2 + 2*d**2).\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 261466 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: Multiply -6754 and 116.2.\nAnswer: -784814.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:53 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -80780 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2973075383 take away -6?\nAnswer: -2973075377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - -10 - (-1221)\/12)\/(4\/496)?\nAnswer: 3, 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 121 (c) -4\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 23*r - 1316. Let y = r + -94. Suppose 13*c - 434 - 723 = y. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215.0564 millilitres to litres.\nAnswer: 0.2150564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s - 5. Let f be y(0). Which is the second biggest value? (a) -4 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -14, -17, -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g, 12 = 4*i - 2*g - 2*g. Let y = 5.5 - 18.5. Let r = y - -13. Sort -5, r, i in decreasing order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11960, 23922, 35884, 47846?\nAnswer: 59808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 361 + -165. Is l a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c, -5*n - c + 6 + 40 = 0. Calculate the smallest common multiple of n and (1 - 0)*(-4 + 15).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19028 + 57086\/3. What is f in 4*f**2 + 0 - p*f**4 + 0*f + 10\/3*f**3 = 0?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkooqrqk. What is prob of picking 1 x and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8637 is divided by 228.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3665767312?\nAnswer: 2, 419, 463, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 1}. Give prob of sequence yf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o - 320 = -64*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9459 = 16*s + 9091 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/((-3)\/(-6)). Let n = 5 - o. Suppose -5*c + 81 + 39 = n. Solve 33 = 2*u - 5*i, u - i - c = 3*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6020892 + -3314241.\nAnswer: -9335133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66693*5.\nAnswer: -333465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 5:22 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*132.4977.\nAnswer: 1722.4701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6960 and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*v + 4808, -5*y = -0*y - 20. Suppose 4*t - 5*h = v, -860 = -5*t + 2*t - 5*h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(168\/(-23)) + (-7)\/(-56).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171 - -171) + (19 - -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9763 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = 24. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -11*u**6\/6 + 57*u**4\/4 + u**2\/2 + 162*u - 1045. What is the second derivative of q(y) wrt y?\nAnswer: -220*y**3 + 342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 + 11*m**3 + 3*m**3 - 26*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 5*x**2 - 6*x + 3. Let m be a(6). Suppose j = 3*w + 2 - 0, -7 = -2*j + m*w. Solve -j*o = -6*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11777634 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 938563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -32 - 7. Let s = n + 22. Solve 2*a = 3*y, -a - 7 = -s*y + 4*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1)\/((-54)\/(-36)). Solve m + 5*k = 13, -3*k = -5*m - 17 - x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*a**5 - 10*a**4 - 1736*a**2 wrt a.\nAnswer: 1860*a**2 - 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18199 - -276784. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 5*q + 2. Let r be x(5). Suppose 3*w = 5*i - 14, -3*i + 11 + 7 = -5*w. Suppose r*n = n + i. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1765740708.0000009 - -1765740784. Let v = t + -76. Round v to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29, -27, -15, 13, 63, 141, 253, 405?\n\"Answer: q**3 - q**2 - 2*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.5 * 0.2.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 187 and 2924?\nAnswer: 32164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c**2 + 53*c**2 - 75*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-33 - -28) + (-1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2 + 3 + -1. Let q = 769 - 769.4. Which is the nearest to -0.06? (a) 2\/3 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18214447 rounded to 4 dps?\nAnswer: 0.1821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 divided by 6?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Let v(n) = -260*n**2 - 4*n. Determine -6*f(b) - 3*v(b).\nAnswer: 780*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2870*t = -3215*t - 47955 for t.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 37 - 3 = 0. Let k(x) = 2208*x**3 - 8*x**2 + 4*x - 16. Let o be k(w). Round o to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**4\/8 - 2*g**3 - 17*g**2. Let a be r(-3). Let c(j) = j**3 + 3*j**2 - 3*j + 4. Is c(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 7*w**2 - 8*w - 8. Let n = -10 + 4. Is 2 a factor of z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = -h. Let w be (h - -2)\/(2\/(-26)). Suppose -4*b + 7*b = -4*s + 8, -2*s - 3*b = -4. Solve -g + 0 - w = 3*t, s*t + 2 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(1026\/12)*(2 - (-38)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572970 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -4*y**7\/21 + 7*y**6\/15 + y**5\/5 - 4*y**4\/3 + 2*y**3\/3 + y**2 - 6*y. Find n, given that z(n) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3 - 4*a**2 - 2 + 4*a - 8. Let k(v) = 2*v**2 - 2*v + 3. Let c = 20 - 18. Suppose 5 = r + c. Give r*d(z) + 7*k(z).\nAnswer: 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 36*q**2. Let s(h) be the third derivative of h**6\/120 + 9*h**3\/2 - 27*h**2 + h. Let p(o) be the first derivative of s(o). Give n(p(i)).\nAnswer: 324*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 1\/104, -0.2, -2, 13, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/20)\/o**18 assuming o is positive.\nAnswer: o**(-357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336*d**5 + 3*d**4 - 5670*d**3 - 3220*d + 6555 wrt d?\nAnswer: 6720*d**3 + 36*d**2 - 34020*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 1153?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*g - 396*g + 16 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 835, 907, 979, 1051, 1123?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11655104 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2558300 = -670356. Suppose 11*o - 420769 - 612923 = 0. Let y = o - c. Round y to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 25 (c) 1\/10 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-4)*i*i*i**6*i*i**(-4\/3)\/(i*i*i*i**(-5)) assuming i is positive.\nAnswer: i**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.64839 hours to milliseconds.\nAnswer: 88734204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -33*h**3 + 4*h - 4. Let o(w) = -w + 1. Determine 4*o(v) + q(v).\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 95708*z + 5 + 95681*z.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 868 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1430)\/(-2002)*(-126)\/75?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**2 + 50*n - 2*n**2 + 582 - 66*n + 19*n.\nAnswer: -11*n**2 + 3*n + 582","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(-1 + (-49)\/(-42)). Suppose 13309 - 13309 - n*k**4 + 3*k**2 + 6*k**3 - 6*k = 0. Calculate k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 427482, 2 in increasing order.\nAnswer: 2, 16, 427482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5624 is divided by 2694.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 468.04 + -457. Let t = 11 - o. Let x = -0.040055 - t. What is x rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 18*n + 69. What is the tens digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 4, t: 8, a: 5}. What is prob of picking 2 n?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-12)*(-3 + -345). What is the units digit of (k\/(-87))\/((-2)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-3*z - 2*z**3 + 3*z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*f**3 + 4975*f**2 + 131413*f wrt f?\nAnswer: -138*f + 9950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*h**2)*((-3*h + h + 0*h)*(3*h - 2*h + 0*h) - h**2 + 1 - 1).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(45\/(-2)))\/(2107\/1505)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20160 and 47808?\nAnswer: 1673280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3 and 13\/837.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*a - 6*a + 208, 391 = -4*h + 3*a. Let n = -32 - h. What are the prime factors of n?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 2835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 1\/5, -3, -21\/4981?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3572840 and 64?\nAnswer: 28582720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146619 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6 = -31. Let j = -105 + 101. Which is the second smallest value? (a) j (b) h (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from taakatthhjjhkkaa.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11.76 - -5\nAnswer: -6.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 43 + 5*j**2 - 375*j + 58 - 103 - 4*j**2 to the form x*j + o + h*j**2 + y*j**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*b - 249 - 164 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 29*b - 84 = 21*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(16\/(-6))*(-376)\/(-2820)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 11) to base 3.\nAnswer: 12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1743 and -12\/161.\nAnswer: 40089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88012972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4077*i**3 + 4076*i**3 + 96*i**2 - 84*i**2 - 8. Let m be (12\/10)\/((-2)\/(-20)). What is l(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 3. Let x(n) = -n**3 - 3*n**2 + 3. Let u be x(-3). Let i be b(u). Suppose -5*c + q = -0*q - 13, i = -3*c + 2*q + 12. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 126682 + 85943. Let o be q\/(-18)*2480\/(-3). What is o rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12432768.\nAnswer: 2, 3, 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -53. Let l = q + -59. Let a = l - -29. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 50. Suppose -3*k - 149 = -m*b + 2*k, -2*b - 2*k = -156. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -23*r**2 - 16*r + 31. Let m be l(-7). Calculate the common denominator of 6683\/m - (-6)\/(-16) and -17\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*q - 39*q + 793. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b + 297 = -33*b - 50*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -113232231?\nAnswer: -113232302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1147 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*s - 99737 = -22954, s = 4*x - 307183. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-6) + (-4)\/12. Which is smaller: -22 or d?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -0.2 (c) 1\/2 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = t + 4, 6*n + 2 = 4*t + 3*n. Solve -t*u + 32 = 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 3, j: 1, e: 1, d: 2}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-3*v**3 + v**3 + v**3) + 3*v**2 - 2*v**3 - 3*v**2 + 53*v - 2*v**3 - 53*v + 18 + v**2.\nAnswer: -5*v**3 + v**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130033\/18 + -7226. Calculate the common denominator of o and -79\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10769, -1, 2?\nAnswer: -10769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04429483 - 0.2.\nAnswer: -0.15570517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -54*d**2 - 43*d**2 + 125*d**2. Let l(j) = 7*j + j - 11*j + 5*j. Let u(g) = 5*g. Let q(n) = 7*l(n) - 3*u(n). Determine q(w(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 8) in base 16?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 693669591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -435*s. Let w(p) = -30*p. Give w(a(c)).\nAnswer: 13050*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Let t(f) be the first derivative of 365*f**3 + 1038. Determine t(z(m)).\nAnswer: 4380*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39551748 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/903141 - -34524370996\/9934551. Let t = -3480 + d. Calculate the common denominator of 55\/9 and t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*d = 214, 3*p = 2*d + 68 + 92. Suppose -5*s + 16 = -p. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35356941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2*1\/8)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) -0.07652 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10900, -21802, -32704, -43606?\nAnswer: -54508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1645*u**3 - 3*u**2 + 24*u wrt u.\nAnswer: 9870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4085 - 4084.9994482. What is t rounded to five decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 4*p - 95 = 29, 0 = -3*t + p + 38 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:38 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 + 32*n\/3 - 12.\nAnswer: 4*(n - 1)*(n + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 1 - 1)*(-c**2 + 30*c**3 - 7*c - 7*c**3 + 6*c).\nAnswer: -92*c**4 + 4*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 41, 4 in decreasing order.\nAnswer: 41, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -32*c + 85 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 1 - (3 - 17 - -12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (1 - 2548\/4). Let t = -3671 - -5589. Suppose -h + 0*d = d - y, t = 3*h + 5*d. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59587\/18 - -3306. Find the common denominator of r and -32\/19.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszszsszzsssc. Give prob of picking 1 s and 1 c.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttjtj. Give prob of picking 4 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 5.6. Let g be 60\/320*(-24)\/(-9). What is the closest to g in 4, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = -4*r - 1, -4 = 4*h. Let a(g) = -g**3 + g**2 + 45. Does 5 divide a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 10:43 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -w - 104, -7*c - 15*c + 53*c - 648 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132.69 - -131. Let o = d + 1.689999578. Round o to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 750*((-90)\/27 - -4). Solve -2*r + 11 = -5*y, y - 496 = r - u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -6. Let r = 11.97 + -12. Which is the second smallest value? (a) i (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-288))\/((-3)\/(-20))*4\/(-5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-2 - (6 - (6 + -4))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 6*o + 3. Let z be k(-6). Let f(a) = -a**2 - 5*a + 0 + 3 - 11*a**3 + 34*a**3. Let c be f(z). What is c rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000270649 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18699c (base 13) to base 11\nAnswer: -38a84a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55 - 53 - (-27 + 0). Which is smaller: 28 or p?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 20 = 5*i, 4*a = 4*i - 10 - 6. Suppose -2*v + 6 = -4*j, -i*v = 2*j - 3*v + 9. Let s(k) = 14*k**2 + 6*k + 5. Is s(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 1)*(8*h - 2*h + 3*h) + 3*h + 0*h + 6*h)*(3*h + 2*h - 4*h) in the form f*h**2 + i*h + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (13251\/3786*(-4)\/14)\/((2\/1)\/72)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*u - 5*u + 3, 3*u - 6 = -3*d. Suppose -u = -3*f + 7. Suppose 0 = -f*l + 3*r + 34, 2*l + r = 14 + 8. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 352 = -268. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + 1) - ((-9 - 8) + 8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8ea (base 15) to base 16\nAnswer: -7e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166 + 335 - 169 - 1754*i**2 + 1161*i**4 + 990*i**4 wrt i.\nAnswer: 51624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 326, 336, 360, 404, 474, 576?\n\"Answer: c**3 + c**2 + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -35. Let k(t) be the second derivative of 0 + 1\/5*t**n + 0*t**4 + 0*t**3 + 5\/2*t**2 - t. Find the first derivative of k(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45856*i**2 + i**3 - 10*i**3 - 6169*i**2.\nAnswer: -9*i**3 + 39687*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.3 - -33. What is h rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 + 259*i - 57. Let n be p(-29). Which is greater: n or 8\/717?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 1187 = -1161 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-414) + (1 - 2502\/(-207))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13005751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k = 29*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 5*l + 20. Calculate the remainder when b(7) is divided by 17 + (84\/7 - 9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402*w**6 - 440*w**2 wrt w.\nAnswer: -48240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4204998?\nAnswer: 2, 3, 7, 23, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.3 (c) 7265\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 5)*(0*f**2 + 2*f**2 - f**2)*(-f + 0*f + 2*f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/67 or -92.75?\nAnswer: -92.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.942 - -439.058. Let n = z - 440.00000582. Round n to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -11*j - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-1)\/(-2) + 1). Suppose -3*c + 5*w + 60 = -0*c, -l*w = 9. Let i = 1\/2531 + -58228\/37965. Calculate the common denominator of c and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1427545 + 1427544.9415833. Let y = t + 0.0583. Round y to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*h + 2*h + 2*w, 35 = 5*h - 4*w. Suppose t = -h, -60400003 = 2*c - 6*c + t. Round c to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 993.\nAnswer: 992.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-348)\/(-1*6\/244). Let d be ((-2)\/(-16))\/(30\/3393672). Let s = d - i. Find the common denominator of 23\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.932 - 32119314392?\nAnswer: -32119314387.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*j - 17914 = -179*j - 64*j for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*((-693)\/55 - -13). What is the third smallest value in a, -3, -0.27, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - d + 6*d + (4 - 4 + 2)*(477 - 477 + 36*d)*(0 + 0 - 7) to x*d + r and give x.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 3\/4*l**3 + 0 - 1\/10*l**5 + 14*l**2 + 0*l - 11\/16*l**4. Factor y(v).\nAnswer: -3*(v + 3)*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 - 151*d**4 + 12*d**3 + 596*d**2 + 4*d?\nAnswer: 60*d**2 - 3624*d + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2986440 = 1997*i - 1877*i. Is i a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -58 - 44 - 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s + 481 - 2*s**2 - 26*s**3 + 46*s + 2*s**2.\nAnswer: -26*s**3 + 481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + -5*(-4*sqrt(2548) + sqrt(2548))*1)**2.\nAnswer: 2520*sqrt(13) + 573336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8931, -11, 5, -3 in ascending order.\nAnswer: -11, -3, 5, 8931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5035)\/(-4) - (-9)\/36 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 526661, 1053250, 1579841, 2106434, 2633029, 3159626?\n\"Answer: g**2 + 526586*g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -103, 2.\nAnswer: -103, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = 16*a - 638 + 26 + 229 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - x + 8*x**2 + x**3 - 3*x**3)*(-3 - 2 + 3).\nAnswer: 4*x**3 - 20*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00935528622 to 6 decimal places.\nAnswer: -0.009355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2460 - 2460. Solve 0 = b + 5*a, 4*b - 4*a = -u*b + 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*g**2 + 81*g**2 - 258*g**2 - 26 + 10 + 86*g**2.\nAnswer: -3*g**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2295569, 4591136, 6886703?\nAnswer: 9182270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20039, 40031, 60023?\n\"Answer: 19992*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Suppose 5 = -6*j + 23. Let c(x) be the third derivative of 0 - 1\/24*x**4 + 0*x - x**2 + 0*x**j. Calculate c(a(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**4 + 3*q**4 - 5*q**4)*(-1 + 1 - q) + (-4*q**2 + 6*q**2 + 6*q**2)*(-95*q**3 - 43*q**3 + 4*q**3 - 98*q**3).\nAnswer: -1858*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 - 4*c - 10. Let t be o(-5). Let p = -14 - t. Let h = -1 + 3. Solve 3 = -h*l + p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-75)*-7*(-30)\/(-7). Solve -h*l + 13 = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 68. Let u be (-870)\/4 + (-2)\/i*1. Let w = u - -1167. Round w to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 1:53 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 + 214. Suppose u*o - 356101 = 1339999. Round o to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*g**3*n**3 - 2*g**2*n**3 - 14*g*n**3 + g*n - 2*g wrt g?\nAnswer: -1098*g*n**3 - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3*b**2 + 13*b - 4218. Give g(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/57))\/(z\/z**(-10\/7)))\/(z\/(z**1\/z))**(-23) assuming z is positive.\nAnswer: z**(8621\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261928986?\nAnswer: 2, 3, 11, 29, 136849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t + 2*t + 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14923937 to the nearest integer?\nAnswer: 3863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 + 2 = 0. Let w(c) = -10 + s + 5*c**2 + 3 + 7 - 2*c. List the prime factors of w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p + 3*o - 58 = 0, 33 = -3*p + 4*o - 41 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 1746017280.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -211, -332, -455, -580?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -713 divided by -6\nAnswer: 713\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -0.07918.\nAnswer: -0.22082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -271 - -193. Let c = -76 - r. Solve 28 = -4*j + 5*y, 3*y = c*j + 15 + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 13042.39 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200242083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/36 - (4497\/(-135) + 2\/(-15)). Solve -21*w = -d - 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 5 = 3*c + y + 20, -2*c + 4*y + 344 = 374 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = -2*b, -4 = b - 4*w - 1. Let i(f) = 21*f**2 + 4*f - 5. Let g be i(2). Let d = g + -90. Put d, b, 1 in descending order.\nAnswer: b, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4\/9 + 380*d**3\/9 - 2000*d**2\/9 = 0.\nAnswer: -100, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25437*h**5*y**2 + 7*h**4*y**3 - h**2*y - h**2 + 2*h*y**3 - 671*y - 1 wrt h.\nAnswer: 1526220*h**2*y**2 + 168*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*j**3*z**3 + 3167*j**3 + 7*j**2*z**3 + 1264*j*z**2 - 326*z**3 wrt z.\nAnswer: -966*j**3 + 42*j**2 - 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(96)*1 - sqrt(96))*3)\/(-6*sqrt(128)*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/11 - (-192)\/880)\/((-1106)\/1120 + 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f. Let r(a) = 11803*a + 11804*a - 23792*a. Determine r(h(z)).\nAnswer: 370*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11787\/(-51) - 3*6\/(-153). Let s = 347 + z. Let n = 122 - s. Solve n*g = 5*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 2*o, -24*n + 28*n + 13 = -3*o. Let z(u) = u + 3. Let a be z(-1). Let t = -3 + 8. Sort o, t, 4, a in ascending order.\nAnswer: o, a, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9692 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13125421 - -5?\nAnswer: -13125412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, g: 1, n: 1, y: 1, w: 1, l: 1}. Give prob of sequence wnyg.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 3*q**2)*(-1368*q**2 - 799*q**2 - 70*q**2) + 0 - q**4 + 0.\nAnswer: -4475*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 5786\/(-429)) + 140\/21 + -6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 105, 160, 267, 444, 709?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1010000100?\nAnswer: 1010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 10400. Let s be 0\/(-6)*(0 + -1). Let j be a(s). What is j rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 76*z - 50*z + 11 - 6 + 94*z.\nAnswer: -32*z + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 22. Let n be 5\/y + -8*3\/9. Put 2\/3, n, 7 in decreasing order.\nAnswer: 7, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -t - 32, 370*t = 9*m + 365*t + 104 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -192318 bigger than -192325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g + 15*g**3 - 2*g**4 - 15*g**3 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477152785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.044.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304 + 1304 + 4*n + 3*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17*-0.02\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7402 (base 8) to base 9\nAnswer: -5238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 0, -1, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 4\/5, 2, 132, 1 in descending order.\nAnswer: 132, 2, 1, 4\/5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/289 or 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 865, 2773 in increasing order.\nAnswer: -8, 865, 2773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -4)\/(3\/15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvuvtguutu. What is prob of sequence uug?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (302720\/258)\/176*-21?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-2) + -2 + 10030\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1798983 and -3.\nAnswer: 1798980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -2004.\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113275609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 270*f**2 - 3*f + 51.\nAnswer: 540*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let x(p) = n - 6*p**2 - p**3 + 5*p - 6 + p. List the prime factors of x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) 0.3 (d) -37 (e) -92 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -709\/39 + 55\/3. Let x = -3.7 - -4.2. Sort x, -2\/11, n, -2\/9.\nAnswer: -2\/9, -2\/11, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y + 0 - 4\/3*y**3 - 21*y**2 - 1\/6*y**4. Let i(d) = -4 + 0*d + 2 - d. Calculate -9*i(w) + 2*r(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -728013.\nAnswer: 10\/728013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 1472\/52) + 564\/(-26)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65, -93, -109, -107, -81?\n\"Answer: q**3 - 35*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(3*s - s - s) + (1 - 1 + 3)*(-5*s - 4 + 4).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 6, v: 4}. Give prob of sequence vh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35.7 (b) 3\/7451 (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-7)\/y)\/y)**(-8) assuming y is positive.\nAnswer: y**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 16\/4 - -3) + 0. Solve c*k - 9 = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*c - 30*c + c)*(3*c - c + 0*c)*(-13*c + 2 - 3*c - 12*c + (3*c + c - 2*c)*(3 + 1 + 0)) in the form k*c**3 + z*c**2 + s*c + l and give z.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.7 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k - 3*m + 18, 5*k + 2*m = -7. Let x(r) = r**2 + 5*r + 9. Let n be x(k). Suppose 6 = 2*j, -3*j = -n*b - b + 539. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 5422194870.\nAnswer: -5422194865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -101001000101?\nAnswer: 101001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 4 + 2 + v + 7*v**3 as k*v**3 + n*v + o*v**2 + f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 - (-3 - 0) - (3 + 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 7*d - 14. Let k be r(2). Let i be (-6)\/15 - k\/(-20)*-6. Find the first derivative of -1620*a - 15 + i*a**3 + 1620*a wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 3, d: 4, v: 1}. Give prob of picking 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 757 + -4?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1309126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 5\/2*y**3 - 25\/24*y**4 - 1\/42*y**7 - 1\/6*y**5 + 0 + 1\/4*y**6 + 13*y**2 - 5\/336*y**8 + 0*y. Factor u(t).\nAnswer: -5*(t - 1)**3*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2923896 and -47\/6578766?\nAnswer: 26315064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:12 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 - 1330 - 289*c + 1330 + 286*c.\nAnswer: -23*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -3734?\nAnswer: 3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 3*a**2 - 3*a**2)*(-1 + 2 - 4) - 2*a**2 + 4 + a**2 - 1.\nAnswer: 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12268*c**4 - 536*c**3*g**3 - 18315615*g**3 wrt c?\nAnswer: 49072*c**3 - 1608*c**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 9*n**2 - 261*n + 777. What is x(3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(1\/3))\/w)**(4\/15)*(w\/w**40*w)\/w**42 assuming w is positive.\nAnswer: w**(-3584\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5)*2 + sqrt(5)) - (-3*sqrt(21)\/sqrt(7) - sqrt(3))**2.\nAnswer: -48 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 3*v**7\/70 - 4*v**3\/3 + 12*v**2. Differentiate o(g) with respect to g.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -r + 4*r + 60, 5*r = 4*q - 100. Is (-55701)\/36*r\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3 - 1350212*i - 1641*i**2 - 63339395 + 452585*i - 42881881 - 57446047 = 0.\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.36329 + 0.19899262.\nAnswer: -40.16429738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/26152 and 63\/40?\nAnswer: 130760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492749 and 978?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 68. Let i = -131 + 188. Let h = i + a. 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: Convert 38c (base 14) to base 10.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -83. Let f = c + -52.008. Let l = -8.692 + f. What is l rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*t**2 + 26 + 12 + 779*t + 4*t**2 + 772*t - 1552*t in the form n*t + v*t**2 + h and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -602005852284 and 5.\nAnswer: -602005852279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4150038 is divided by 367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5516286*z**6 - 127*z**2 + 708*z - 3 wrt z.\nAnswer: -661954320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 23 + 18*t - 61)*(2 + 0 - 4).\nAnswer: -36*t - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361 - 637 - 6*x**2 + 31*x**2 - 723.\nAnswer: 25*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3013 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 16*h + 0*h**3 + 5*h**2 - 7 - h**3 - 15*h. Let r = 1441 - 1436. Give m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18157, -36313, -54469, -72625?\nAnswer: -90781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12851, 12984, 13369, 14138, 15423, 17356, 20069, 23694?\n\"Answer: 22*c**3 - 6*c**2 - 3*c + 12838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(4\/7))\/i*i**(1\/6)\/i*(i**(-2\/5))**(-1\/3))\/(i**(3\/8)*i**(-1\/2))**(-23) assuming i is positive.\nAnswer: i**(-841\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11487*y**4 - 6*y**3 + 84231*y**2 + 2*y + 6?\nAnswer: 275688*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/6 + (-3)\/(-2). Let x(n) = 2*n**3 - 17*n**2 + 2*n + 56. Let k be x(8). Suppose w*q = -k + 53. What is the remainder when 24 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 165785*v + 165785*v.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let s = 8 - 4. Suppose 3*b + s*o + 1 = 11, -3*o = 5*b - 13. Calculate the remainder when x is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211878 = 97*x + 52*x. Calculate the smallest common multiple of x and 4.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + 112. Let z be 129\/(3 - (7 - (2 + 3))). What is the greatest common divisor of z and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 + -669. Are u and 1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2. Let v(q) = -2*q + 1090. Determine l(v(r)).\nAnswer: 16*r**2 - 17440*r + 4752400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 - 4*i**4\/3 + 40*i**3\/3 - 22*i**2 + 43*i\/3 - 10\/3 = 0. What is i?\nAnswer: -5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i + 73. Let x be l(6). Which is the closest to x? (a) 3\/4 (b) -4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311641502*d**5 - 523200001*d wrt d?\nAnswer: -6232830040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11767080 and 21835.\nAnswer: 129437880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/60 - v**4\/12 - v**3\/6 + 2*v**2. Let b be 6\/(-10) - 39\/(-15). Suppose -i - 1 = -b*u - 5, i = 0. Determine h(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - j**2 + j**2 + 4*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29989807*s**4 - 3*s**2 - 70891*s - 2 wrt s.\nAnswer: -719755368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 5*m - 5. Let z(l) = l**2 + 4*l - 4. Calculate -6*b(t) + 7*z(t).\nAnswer: t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n + 16. Suppose 2*y + n*x = 24, -8 = 4*y + 5*x - 68. Let p = -16 + y. What is the smallest common multiple of 11 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n\/(n\/n**(-6))))\/n))\/n**6)\/(((n*n**(-1\/4))\/n)\/n**(-7)) assuming n is positive.\nAnswer: n**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w**2. Let x(i) = 13*i - 4. Let m(f) = -67*f + 22. Let a(q) = 4*m(q) + 22*x(q). Calculate a(g(o)).\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 65*g**2 - 26*g - 6072. Calculate r(-66).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 4, u: 4, n: 3, h: 1}. Give prob of sequence yuyu.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 5, 4, 2\/125, -426 in decreasing order.\nAnswer: 5, 4, 1\/8, 2\/125, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 45, -2*x + r - 2757 = -11896. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -23*c**3. Let t be d(-1). Suppose 0 = 5*p - 12*v + 14*v - 108, -5*p + v = -111. Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:07 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*j - 102. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 482 and 92062?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/378 and -97\/1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5496, -5649, -6058, -6849, -8148, -10081?\n\"Answer: -21*a**3 - 2*a**2 - 5473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 3*r - 4. Let a be j(3). Let i(m) = m**3 - 1 + 5*m**2 + 3*m - 3*m**3 + m**3. Calculate the smallest common multiple of 20 and i(a).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -30 - 17 - 18*c**3 + 38*c**3 - 50*c - 19*c**3 + 40*c**2. Is x(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v = 481403 + 96325. Does 32 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21394046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 58*f + 358. Give s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9*l*(l\/(l**(-11)\/l))\/l*(l\/((l*l**12\/l)\/l))**8 assuming l is positive.\nAnswer: l**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 j when three letters picked without replacement from lljllolyjt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3382 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 612762537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 56*w = 57*w + 17769, -17765 = -5*i + 5*w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 1645592*w**2 + 9873606*w + 14810436.\nAnswer: -2*(w - 822802)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26978932.\nAnswer: 2, 17, 29, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 3. Let o(p) = -2*p + 4 - p + 2*p. Let r be 108\/26 - 3*10\/195. Give r*o(j) + 5*v(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 + 14)\/8 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q. Let l be (6*(-1)\/5)\/((-24)\/(-1120)). Let r = l + 77. Let h(p) = 15*p. Determine r*v(m) - 4*h(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1519 * -26\nAnswer: 39494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.6. Let s = 200 - 200.5. Let m = s + r. Are m and -3\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28967, -28962, -28957?\n\"Answer: 5*c - 28972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/19))\/s)**8 assuming s is positive.\nAnswer: s**(8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/120 - s**5\/40 - s**3\/3 + 8*s**2. Let n(i) be the first derivative of u(i). Factor n(a).\nAnswer: 3*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33004428 divided by 16502214.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23a0a54 (base 11) to base 16\nAnswer: -3fb082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 56 = -5*r. List the prime factors of r\/((-26)\/(-12))*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653132 (base 8) in base 7?\nAnswer: -4041630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (42176\/(-20))\/8*10\/(-4).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0 + 1\/2*a**2 - 10*a + a**3. What is the first derivative of s(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403*y**2 + 1411*y**2 - 7000*y**2 + 1401*y**2 + 1380*y**2 - 2*y**3 + 1405*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15*a**2 - 73*a - 37. Determine n(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009501588 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -83. Let u = 39 - o. Suppose -3*h = -3*k - 3, 5*h + 2*k - 1 = 6*k. What is the nearest to 3 in h, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*y**5 + 91834867*y**4 + 1745330*y**2 - 9*y.\nAnswer: 300*y**2 + 2204036808*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.515 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18316 = 837*a - 4087 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 18 (c) 5\/4 (d) 1\/6 (e) 79\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*z - 371. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -o - 3*o - 8, 3*o = -z - 8. Does 4 divide 70*z - 20\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrpq when four letters picked without replacement from {j: 1, z: 1, r: 2, q: 1, p: 1, y: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2119 + 1866 = -5*r, 1343 = l + 2*r. List the prime factors of l.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f**3 + f**2 + 2*f. Determine z(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 10*b - 9047. Give p(84).\nAnswer: -1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -173*a**2. Let s(y) = 25*y + 6. Determine s(j(p)).\nAnswer: -4325*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 x when four letters picked without replacement from ieieieeeeejxejeiijje.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y - 1. Let s(q) be the first derivative of 3*q**4\/4 - 3*q**3 - 9*q**2\/2 + 9*q + 56. What is 9*g(u) + s(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 19*g - 2. Calculate p(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/180 + q**3\/18 + 11*q**2. Factor y(g).\nAnswer: -(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + c = -8*q + 12, 0 = 2*q + c - 7. Solve q = z + 5*n, 2*n = -5*z + 3*n - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1045 and 17\/893?\nAnswer: 49115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/63 - (-4148)\/238?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3149, -3142, -3135, -3128, -3121?\n\"Answer: 7*b - 3156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 55570 divided by 5\nAnswer: 11114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) -0.00693 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*(11\/15)\/((-179025)\/(-19530)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4776218*f*h + 9695636*h wrt f?\nAnswer: -4776218*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10*j = 0. Suppose j = 2*q - 5 + 25. Let r(m) = -5*m - 25. Let h be r(q). Sort -2, h, -3 in decreasing order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*d**2*j**2 + 97*d**2*j - 155*d*j**2 - d*j - 3*d - 312*j**2 + j + 1073 wrt j.\nAnswer: 102*d**2 - 310*d - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from {e: 8, o: 5}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 23*h - 2*h + 2*h + 3*h + h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -38\/13 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**7\/252 + g**6\/90 - g**5\/120 + 27*g. Factor l(a).\nAnswer: -a**3*(a - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15*90\/294)\/((-12)\/(-28)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(1\/6))**(-22)*(d\/d**(3\/16))\/d*d**(-7))**(25\/4) assuming d is positive.\nAnswer: d**(-65825\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14547 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -5\/2*z**2 - 2*z - 104 - 25\/24*z**3 + 5\/32*z**4 - 1\/48*z**6 + 1\/8*z**5. Factor u(x).\nAnswer: -(x - 4)**2*(x + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 593*l - 307176. Calculate g(518).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**8\/2016 + v**7\/1260 + v**6\/144 - v**5\/72 - v**4\/36 + v**3\/9 + 40*v**2. What is k in b(k) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/((2\/20)\/((-150)\/(-100))). Solve -2*n = g - 4*n + 7, -4*g - w = 5*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100917?\nAnswer: 3, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 1, g: 3, f: 3}. Give prob of picking 1 g and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c**2 + 6814*c - 1. Let l(m) = -4*m. What is l(v(i))?\nAnswer: -52*i**2 - 27256*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/39))**(-4\/3))**(8\/7) assuming l is positive.\nAnswer: l**(64\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 2*l**2 - 937*l - 2816. What is u(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 + -7.48035.\nAnswer: -3.08035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let q(p) = -3*p + 139. Give q(k(o)).\nAnswer: 6*o + 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 21. Let v = 5475 + -5469. Calculate the remainder when w(0) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**5 + 2*i**3 + 2*i + 1. Let t(k) = 11*k**5 - 16*k**3 + 135*k**2 - 146*k - 9. Let o(s) = -8*b(s) - t(s). Find the second derivative of o(m) wrt m.\nAnswer: -60*m**3 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -4*m. Solve m = -4*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((9 - 5) + -2) - -37.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/2)\/g*((g*g**(-7))\/g)\/g)\/(g*g\/((g\/(g\/(g**2*g)))\/g))**16)**32)**(-31) assuming g is positive.\nAnswer: g**9424","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 11*v**4\/24 + v**3\/3 - 2*v**2. List the prime factors of p(3).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 2*l + 0*l)*(-5 + 4 + 3) + (-l - 2*l + l)*(3 + 2 - 3) to r*l + v and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -8*l + 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**2 + 2*i**2 + 71*i**2 + 57*i**2.\nAnswer: 161*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7082349 = -9*z + 7082367. Find c such that -15\/2*c - 9 + 1\/2*c**3 + 2*c**z = 0.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 12546*w - 22768*w + 11277*w.\nAnswer: 1055*w + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 41 = 1571*b - 1567*b, -2*b = -4*l + 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:35 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 235*n**2 - 8*n + 4. Let c(j) = 472*j**2 - 18*j + 9. Determine 4*c(g) - 9*f(g).\nAnswer: -227*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5636462 divided by 3.\nAnswer: -5636462\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40536, -84021, -127500, -170973, -214440, -257901, -301356?\nAnswer: -344805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 66 = -14*v. Suppose -v = 5*m + 4*f + 45, -f - 36 = 4*m. Calculate the smallest common multiple of 18 and (-84)\/m*(32\/(-6))\/(-4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 2*u + 1\/24*u**4 - 17\/60*u**5 - 60*u**2 - 3\/2*u**3 + 0. What is the second derivative of r(x) wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/140438568 and 125\/35109642.\nAnswer: 140438568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9382 = -11*f + 18525. What is the greatest common factor of 86 and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p = -37*p - 80. Suppose -3*r = -5*i - 816 + p, 4 = -4*i. List the prime factors of r.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.083654 milligrams?\nAnswer: 0.005083654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l + 3. Suppose 1 = -u - 3*w, w - 9 = -4*u - u. Find the second derivative of 6*b**2 - 3*b - 12*b**u - l*b wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 473, 1936, 4375, 7790, 12181, 17548, 23891?\nAnswer: 31210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 6*j + 6. Let x(o) = o - 1. Let p(h) = -c(h) - 6*x(h). Let d be 4\/2 - -2*1. Let k(r) = d*r + 2*r - 5*r. Give k(p(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, -177102, 3\/2.\nAnswer: -177102, -17, -1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 27570.91\nAnswer: -11028.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 28 - -55) + 6 + -19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) -0.3 (d) -2\/453 (e) -0.5 (f) 0.309\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 16*p - 8. Suppose 5*s = 86 - 11. Calculate the remainder when 27 is divided by d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + u**3 + u**3)*(3*u + 0*u + 7*u).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let u(l) = l**2 + l - 2. Let w be u(-3). Let r(t) = 5*t + w*t - t - 3*t. Calculate r(o(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-70))\/(-3)*(6 + -1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -12.93. Let x = d - 0.16. Let m = -0.19 - x. What is the closest to m in -1, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 2*m - 2*m - 5*m**2 + (-4*m + 2*m + 3*m)*(6*m**4 - 2*m**4 - m**4) + 0*m**5 + m**5 + m**5.\nAnswer: 7*m**5 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -382, 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15529 is divided by 4674.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 8*a - 8. Suppose 0*d + 2*c = -5*d - 32, 2*d + 8 = 4*c. Let l be y(d). Find the second derivative of l*f - f + 3*f**3 - 3*f**3 + 2*f**5 wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:17 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 37*u**2 + 1. Let p(b) be the first derivative of -8*b**3\/3 + 89. Calculate t(p(a)).\nAnswer: 2368*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15*d = 136. Find the second derivative of 6*i**4 + 41*i + 9*i**2 - 58*i**4 - d*i**2 wrt i.\nAnswer: -624*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-463)\/(-11) + 25\/(-275) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*l - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d**(8\/9)\/d)\/d)\/d))\/((d*d*d**(4\/5)\/d*d*d*d*d)\/d))\/(d**(-12))**(3\/5) assuming d is positive.\nAnswer: d**(248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*p - 19796, p - 20947 = -5*y - 1145. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4727877234 to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 17. Calculate the remainder when 6 + 60 - (0 + 2) is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 12 + 18. Calculate the remainder when 1\/((1\/h)\/(-41)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 2188\/7191 in increasing order.\nAnswer: -3, 2188\/7191, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82559 or -82557?\nAnswer: -82559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 99. Calculate the remainder when 98 is divided by k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.845262g to kilograms.\nAnswer: 0.006845262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00486 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 + 14*z + 334. Determine c(0).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7077*g**2 + 14629*g**2 - 21402*g**2 to p*g**2 + m + r*g and give p.\nAnswer: -13850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28833)\/(-127689))\/((-14)\/(-4)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 12 = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909483?\nAnswer: 3, 17, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1001167 and 97382?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283589 is divided by 11343.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2849652nm to meters.\nAnswer: 0.0000000002849652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*x + 9284*x**3 - 9224*x**3 - x**4 + 10*x**2 + x wrt x.\nAnswer: -24*x + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {z: 3, g: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 1062 = 5*y, 0 = -y - 3*p - 206. Let l be y\/(-7)*63\/27*3. Is (l\/3)\/(2\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11125, -22251, -33377, -44503, -55629, -66755?\n\"Answer: -11126*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1346428 divided by -24\nAnswer: 336607\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 45 = 14*o. Suppose -10*v = -o*v - 1. Let q = v - -8. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqrm when four letters picked without replacement from mmsrsqjsqssjrsrrssq.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1535 - 515. Does 60 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200526790 rounded to the nearest 100000?\nAnswer: -200500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -638023, -638034, -638053, -638080?\n\"Answer: -4*n**2 + n - 638020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {g: 2, t: 5, k: 1, s: 8}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 = 71. Let a be (-2)\/1 - (b + -161). Suppose 9 = -2*c - 1, -3*f = -4*c - a. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m. Suppose 2 = -m*v + v. Solve 3*a - 4*x - 26 = 0, 0*x - v*x - 16 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4525, -2, 0 in ascending order.\nAnswer: -2, 0, 4525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n + 13. Let r = -7 - n. Solve -q = -u + 1, 0 = 5*u - 4*q - r + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2049088 is divided by 2555.\nAnswer: 2533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 7) to base 9\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 75. Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00339 and 3094423.906.\nAnswer: 3094423.90261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3\/8 + 116731*q**2\/8 + 14591*q - 58365\/2 = 0.\nAnswer: -116730, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p - 1029. What is k(33)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrcv when four letters picked without replacement from {r: 8, p: 3, c: 2, o: 4, v: 2}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:38 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(48)*-3.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/(-6) + (-6)\/36. Suppose -2*g - 2*y - y - 14 = 0, 0 = 2*g + 2*y + 12. Do w and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9061.1246738 - -9059.937. Let h = n + -0.0122612. Let i = h - -1.2. Round i to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -595, -913, -1233?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(2*sqrt(576)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bib when three letters picked without replacement from {i: 3, b: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21640*p + 7992 = 21532*p for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**8\/100800 + r**7\/8400 + r**6\/1800 - 7*r**5\/60 - 7*r**2. Let j(g) be the third derivative of d(g). Factor j(k).\nAnswer: (k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttititttttttitt. What is prob of picking 2 t?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830 is divided by 868?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + q + 37419 - 12823 = 0, -q + 4 = 0. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 848478286 and 10?\nAnswer: 4242391430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d**3 + 16*d**2 + 6*d. Let k(q) = -37*q**3 + 31*q**2 + 11*q. What is 4*k(b) - 7*w(b)?\nAnswer: -22*b**3 + 12*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2737896 hours?\nAnswer: 985642.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15804 + 15949. What is the remainder when o is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 445.1 - -101.9. Let l = -546.9999577 + i. Round l to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 (base 4) in base 15?\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(200)*1 + 0).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -235202773\/167972 + -5\/41993. Let y = -1410 - r. What is the common denominator of -69\/4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189.28 + -177. Let q = -12 + k. Let m = 0.22 + q. What is the nearest to 1 in -0.3, -2\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k + 9*k - 89 + 8*k to the form o + q*k and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**8\/3360 + a**7\/630 + a**6\/360 - a**4\/4 + 5*a**2. Let b(r) be the second derivative of n(r). Find m, given that b(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013591939755 to 7 decimal places.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**4\/12 + 2*l. Let q(g) = -15*g**2 + 5*g. Let j(r) = -22*r**2 + 7*r. Let u(v) = -5*j(v) + 7*q(v). What is c(u(k))?\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0269682 rounded to five decimal places?\nAnswer: 0.02697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5475, 5583, 5721, 5889, 6087, 6315, 6573?\n\"Answer: 15*f**2 + 63*f + 5397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17*p**2 + 348*p - 1837. Give u(12).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/19, 0.5, -8, -6, 10.2, 3 in increasing order.\nAnswer: -8, -6, 1\/19, 0.5, 3, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 45265 and -22.9444.\nAnswer: 45242.0556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 223. What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4*10\/25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4 + 4 - 2 - d - d**2. Let y be f(-2). Let v(q) = -q - 3. What is the smallest common multiple of v(y) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -18e81f?\nAnswer: 18e821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 10. Let c be h(10). What is the third derivative of c*g**4 + 4*g**2 - 6*g**2 - 4*g**4 wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 1\/4, 0.2, -1\/2, -168?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 6. Let u be x(5). Let a = -1.832 + 1.772. Put u, -0.5, -1, a in ascending order.\nAnswer: u, -1, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1140380945 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 1362*r - 5432. What is n(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10370 + -2567. Does 93 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**4 - 1498*w**3 + 237999*w**2.\nAnswer: -24*w - 8988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(729)*-1))**2 + -4 + (sqrt(114) + (sqrt(114) - sqrt(114)*1)*1)\/sqrt(216).\nAnswer: -305\/81 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 2*d**4 - 2*d**4 + (7*d - 9*d - 17*d)*(0 - 1 + 2)*(-d + 2*d + 3*d)*(d**2 - 9 + 9).\nAnswer: -77*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.334 + 10.666. What is the second biggest value in q, -3, 8, -2, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/5 + 6*u**4 + 28*u**3\/5 - 348*u**2\/5 - 414*u\/5 + 702\/5 = 0 for u.\nAnswer: -13, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -1) + 0)*181\/(-1086).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 3. Let t(p) = 9*p - 5. Let x(f) = -4*t(f) - 7*z(f). Let i(y) = 4*y**3 - 2*y - 2. Determine -i(k) + 2*x(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-48)*(-4)\/(-3). Which is the fourth smallest value? (a) 0.4 (b) -1 (c) z (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3061?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -43 (b) 3\/8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 21902*d**2 + 2563*d - 466. Let x(n) = 471*n**2 + 55*n - 10. Give 5*a(h) - 233*x(h).\nAnswer: -233*h**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + c = 30. Let r(p) = 2*p - 14. Let j be r(8). Sort c, j, 7 in decreasing order.\nAnswer: 7, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 143 + 1695*x - 2172*x + 5411*x.\nAnswer: 4934*x + 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/573 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**3 + h**2 + 17*h**3 - 2*h**4 - 29*h**3 - 1 + 2*h as x*h**3 + c + k*h**2 + d*h + w*h**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = 4*w, -5*w + 17 = h - w. Let l be 1 - (4 - 2) - h. Calculate the smallest common multiple of (-120)\/(-16) - 1\/l and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/5)*j*j**(-3))\/(((j**(-2)\/j)\/j)\/((j**(2\/11)\/j)\/j)))**(-49) assuming j is positive.\nAnswer: j**(-2107\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80624 (base 10) to base 14.\nAnswer: 2154c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 - 218605*g**3 - 437175*g**2 + 655785*g = 0.\nAnswer: -43719, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.547594154 + -0.097627184. Let l = g + -0.20996655. Let o = -0.24 + l. Round o to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74721 or 74722?\nAnswer: 74722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j = 42*j + 1268. Suppose -2*g = 2*f - 238, -g - 2*g + 5*f = -j. Calculate the highest common factor of 38 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 10229\/9, 532.\nAnswer: -2\/5, 532, 10229\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**3 - 10*n**3 + 7*n**3)*(1 - 9 - 3) + (-2*n + 0 + 0)*(2*n**2 + 5*n - 5*n).\nAnswer: -92*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0261849002 rounded to 6 decimal places?\nAnswer: 0.026185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.000007 - -18. Round o to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 23 - 6\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/75)*m\/(m**(-9)\/m)*m\/(m\/(m*m**18))*m**(-1\/2)\/m assuming m is positive.\nAnswer: m**(4279\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/113, -3\/5, 1?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/11 - 17946*r**2\/11 + 4602300*r\/11 - 84851600\/11 = 0.\nAnswer: -9223, 20, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let f(k) = -30*k - 97*k - 47*k - 51*k. What is f(d(x))?\nAnswer: 225*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6}. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/286 - -926\/1001. Calculate the common denominator of v and (-1 + 2)\/(36\/57).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 2*h - 2. Let s be -2*(1 + 3\/2). Let k(n) = -n - 7 + 540*n**2 - 270*n**2 + 6 - 269*n**2. Let i(u) = s*k(u) + 2*c(u). Determine i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 50*k + 184. Give t(-29).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 - 152*y - 1927. Give j(40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(245)*-2 + -3 + -5*(0 + sqrt(245)) + 3)**2 + -3 + -3 + 4.\nAnswer: -72032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19753516*h**4 - 6769440 wrt h?\nAnswer: 79014064*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*z + 7*k + 11512, 0 = -4*z - k + 11552. What is the lowest common multiple of z and 16?\nAnswer: 23088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/(-270) + (-40)\/(-18) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655718.\nAnswer: 2, 3, 107, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408161451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + (-16 + 5 - -24). Suppose 2*g + 4*i - 20 = 0, -2*i = -5*g - 5*i + 43. Solve -p*r + 0*r = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*c**3*p**2 + 6*c**3*p - 5*c**3 - c**2*p**2 - c wrt p.\nAnswer: -306*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20 = -3*m. Let a = m + 30. Suppose 47 = -15*n + 35 - 18. Sort n, a, -4 in increasing order.\nAnswer: -4, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Solve 5*w + 10 = -2*p, d*p + 25 = -4*w - 3*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19\/3 (b) 27 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ab5 (base 13) to base 7\nAnswer: 5234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*b. Let h be ((-2)\/3)\/(b\/(-24)). Solve 3 - h = 2*d + 3*a, 3*d - 5*a = -17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -302 + 303. What is the biggest value in 0.1, 0.4, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j + 10*j - 10*j**2)*(1 + 0 + 0 + (-2 + 2 - 2)*(3 + 0 - 1) + 1 - 3 + 0)*(-24 - 63 + 22) to the form k*j**2 + v*j + a and give k.\nAnswer: -3250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 12 = 108. Let m(r) = -2943*r - 20553. Calculate the smallest common multiple of x and m(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349000 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1413, -0.01, -1\/7 in descending order.\nAnswer: 1413, -0.01, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242433358 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 7. Let w be v(-4). Let y(p) = p**2 - 2*p - 2. Let i be y(w). Let u = i - 7. Calculate the remainder when 22 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 98 = -105 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c, -4*c + 6*c - 15 = u. What is the units digit of (2*u)\/(3\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2. Suppose -5*y - 3 = -6*y. Suppose p + y = 8. Let u(g) = p*g - 3*g - g + g. Determine k(u(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 + -132 - (3 + 1 - (5 + -3 - -11)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2 - -15)*(322 + -321).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 4*z = 4*j - 26, -5*j + 25 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5\/7 + 30784*d**4\/7 - 92388*d**3\/7 - 277056*d**2\/7 + 831330*d\/7 = 0.\nAnswer: -15395, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eeeeyoyyeyooeyee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/12)\/(16\/(129 - 1)). Let k(l) be the second derivative of 0 + 0*l**2 + 3\/5*l**5 + 0*l**3 + 2*l + 0*l**4 + 4\/15*l**d - 2\/21*l**7. Factor k(t).\nAnswer: -4*t**3*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -3, 32725, -2, 3, -1 in increasing order.\nAnswer: -4, -3, -2, -1, 3, 8, 32725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -1954 and -143\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 2*i + i)*(6 + 18 - 15) + 0 + 2*i + 0 to g + s*i and give s.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/104045961 and -56\/999?\nAnswer: 936413649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/1285 and -57\/5?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81399541.\nAnswer: 5077, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158304623 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -31 and 2338.322.\nAnswer: 2307.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, u: 1, c: 1, f: 1, b: 2, h: 2}. Give prob of picking 1 b, 1 a, 1 c, and 1 f.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 28840, 2, -14 in ascending order.\nAnswer: -14, -4, -1, 2, 28840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/(z\/(z\/(z**4*z))))\/(z**1\/z*z\/(z*z**(-2\/7)*z)) assuming z is positive.\nAnswer: z**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from jmjlmnj?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - o + 4. Let w be 4\/(-12) + 169\/39. Let f(t) = -14*t**3 + 3*t - 11. Determine w*f(v) + 11*b(v).\nAnswer: -v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.12 and -33.\nAnswer: 69.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 + 133 = -29*h + 532. Let o(k) = k**3 - k**2 - 2*k - 2. Let g be 0 - ((-4 - -2) + -1). What is the remainder when h is divided by o(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8126 = -2*s + 8204 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25208 and 1.\nAnswer: -25208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 0*c**3 - 3 + 3*c**2 - 4*c + 0*c**3. Let f be r(-4). Let n be (1\/f)\/((-16)\/36). Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 4*o = 18*f + 2849, -2272 = -4*f + 4*o. Let h = f + -3984\/7. Which is the biggest value? (a) 3 (b) -4 (c) h (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 2.31186.\nAnswer: 1.81186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11323 + 33967 + 49*y**3 - 11320 - 11324 + 51*y**3.\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 25.1, -0.04, -0.03, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4945*l**2 + 0 - 26698*l + 0 + 26700*l as r + f*l + k*l**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29526519*g**3 - g - 49786204?\nAnswer: -88579557*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + -2?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703.626006 - -0.145?\nAnswer: 703.771006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.21, -0.2, 0, -2268?\nAnswer: -2268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbvbvvb. Give prob of picking 2 b.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101476.9 centimeters in micrometers?\nAnswer: 1014769000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 1480 - 376. Let k = -91 - a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*(18\/(-4))\/(3*8\/144)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-11)\/11)\/(1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -1\/3 (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3 - -0.22?\nAnswer: 15.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 73514 and 21.\nAnswer: 73535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -15*z. Let o(j) = -7*j. Suppose -2*q - 92 = 2*q. Let v = 27 + q. Let w(c) = v*b(c) - 9*o(c). Let x(y) = 2*y**2. Calculate x(w(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + -3aa3?\nAnswer: -3ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3331819 and 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -3. Suppose -11*n = n - 6*n. Suppose -3*p + 3*o + 189 = n, -3*p + g = -o - 180. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 4. Let u = 13 + -10. Suppose u*s + 18 = -0*s. Let i(l) = -2*l - 2. Determine s*r(w) - 11*i(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (3 - (2 + 0)). Suppose 5*m = -5*y, y + q*m + 14 = 5*y. Suppose -3*u + 4 + y = 0. Solve -2 = -g + u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4 + 1. Let l(m) = 5*m + 7. Let p be l(x). Let d = 4 - p. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27311629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**6 + 16 + w**2 + 3*w**6 + 0*w**6 - 15. Let d(f) = -66*f**6 - 5*f**2 - 15. Let y(i) = 6*b(i) + d(i). Find the third derivative of y(m) wrt m.\nAnswer: -8640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*f**3*y**2 - f*y**2 - 41*y**2 + 12*y - 3 wrt f.\nAnswer: 96*f**2*y**2 - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18352 and -89\/2.\nAnswer: 18352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244402371 to the nearest integer?\nAnswer: 15633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4314, 4363, 4432, 4521, 4630, 4759?\n\"Answer: 10*q**2 + 19*q + 4285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 2*s - 6*s**2 + s**2 + 0*s. Let u be (-5 + -3)\/(1 - 3). Let w(z) = -z**2 + 93*z - 97*z + u*z**2. What is -9*l(t) - 4*w(t)?\nAnswer: -3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Suppose 11 + 4 = -3*n. Let y(h) = -2*h + 2. Let u(g) = g. Let d(z) = 2*u(z) - y(z). Give n*o(t) - d(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 + 3*r**2\/2 + 4*r - 81. Determine j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30327 - 30327.6. Is 1\/426 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7991377621830 and 0.\nAnswer: 7991377621830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/3)\/((-4)\/(-18)). What are the prime factors of (-8)\/(-36) + (-1114)\/k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603.7522 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1377 and 3240.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 7, l: 1, u: 2}. What is prob of picking 1 m and 2 u?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -5050, -269, 1\/10.\nAnswer: -5050, -269, -5, -4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8333 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -38 - (217 - 263)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -1 + -2 - sqrt(684)) + (sqrt(684) - ((sqrt(684) - -2*sqrt(684)) + sqrt(684))) + sqrt(684) + 0 - -6*(4 + sqrt(684))*3)**2.\nAnswer: 13248*sqrt(19) + 179865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -273*g + 5413. Give f(20).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/384 and -41\/960.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r - 480 = 8*r + 8*r. Put r, -10, 5, -5 in ascending order.\nAnswer: r, -10, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -1242310?\nAnswer: 1242323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjyyyyvwyywwwy. Give prob of sequence wvwj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10401 (base 7) in base 10?\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 106 = -5*w + 1, 0 = 2*w - 4*z - 26. Calculate the remainder when 244 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -378, -483, -590, -699, -810, -923?\n\"Answer: -w**2 - 102*w - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 373 * 0.373\nAnswer: 139.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 2. Let d be n(3). Suppose 3 + d = w. Let k = -8 + w. Solve k*v = 0, u - v + 5*v = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/((-841)\/(-29))*-2*2\/(-10).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262582905 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 14 - (-5 - (12 + -13 + -4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 + 63. Let u = n + 86. What is the second smallest value in -3, u, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) -3824\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3266 * 0.14229\nAnswer: 464.71914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365*n**5 - 2474*n + 244 + 263*n**5 - 788*n**5 + 2475*n - 758*n**5 wrt n.\nAnswer: -32960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.903079 less than -1836?\nAnswer: -1814.096921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.4 (c) 0.6 (d) -339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27322115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 119 - 124 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w + 22. Let i = w + -10. Let y = -4 + 9. Solve 4*s - 45 = y*f, -i*s - 4 = 4*f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*m = 15, -3*j + 2*m - 7 = -0*j. Let w(z) = 118*z + 1. Is w(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -37382 = -38333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - l - 14 = 2*l, 3*j = -3*l + 6. Suppose 3 + 0 = o. Factor 6*r**4 + 6*r**4 + 31 - 8*r**2 - j*r**o - 31.\nAnswer: 4*r**2*(r - 1)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (271 - 264) + (-4 - -75).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Let f = h + -1. Let k(d) = d + 1. Let t be k(3). Solve -f*m + 2*r - t = 0, -m - 2*r + 7*r + 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 847?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*n + 11 = 0, -7*v - 2*n - 146 + 171 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110845 - 18*h + 110845)*(-1 + 3 - 1).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + sqrt(22)\/(-1*sqrt(2)) + -3 + -2*sqrt(11) + ((sqrt(33)\/sqrt(3))**2*-4 - 2*(sqrt(11) + 1)).\nAnswer: -42 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 32 - 10 = 0. Suppose 0*l - w*l + 21 = 0. Suppose 0*y - l*y = -5*k - 223, -3*y - 2*k + 230 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210498, -420874, -631250?\nAnswer: -841626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (8 - 11) - 12) + -9 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 4*b**2 - 2 + 0*b**3 + 3*b**3 - 5*b + 6*b. Let r be g(-3). Suppose 0 = i - 3*x - 28, -r*x = -0*x + 16. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 96 = -3*u, 0 = -2*u + 19 - 11. Do z and -28 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let z(h) = h**3 - 7*h**2 + 9*h - 12. Let x be z(6). Suppose 1 - x = -u + 2*f, -u - 5*f = 2. Put k, u, -5 in increasing order.\nAnswer: -5, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -12. Let j be 1736\/r + ((-4)\/(-3))\/(-2). Is 14 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -r - 83, -4*r + 2*r = -495*t + 986 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/(((-8)\/(-14))\/((-9890)\/(-301))). What is the nearest to 2\/7 in -1\/6, -0.5, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01083477 and 1.18076?\nAnswer: 1.16992523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 698625448*v**3 + 2*v**2 - 126370*v - 627?\nAnswer: 4191752688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402026 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 8 - 10. Let g = w - 11. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6746 take away -3785?\nAnswer: -2961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 0.2 (c) -5 (d) -0.5 (e) 254\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1091?\nAnswer: 108c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(0*t**2 + t**2 - 3*t**2).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3001310222 (base 5) to base 12.\nAnswer: -1b7985a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g*g\/(g**(2\/29)\/g)*(g**(1\/5))**(-24))**(2\/15) assuming g is positive.\nAnswer: g**(-1229\/4350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 8*j**2 + 3*j - 5. What is n(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8538745 is divided by 224702.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 3 (c) -1.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.1. Let h = i + -1. Let p(d) = 2*d + 1. Let n be p(1). Which is the third smallest value? (a) -0.5 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a - 8*a = -32*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256753601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 1\/4*m**2 - 4*m - 17\/4 = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 + 21?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -648*c**3*f**3 + 86225*c**3*f**2 - 4*c**3 + 18*c*f**3 - c*f**2 - 2*f**3 wrt f?\nAnswer: -3888*c**3 + 108*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 996406194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdydttytyytdt. What is prob of picking 1 d and 3 y?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 250 = 15*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 2*t**4 + 3*t**4 + (4*t**2 - 5*t**2 + 2*t**2)*((-t**2 + 3*t**2 - 3*t**2)*(2 - 1 + 0) - t**2 + 2*t**2 + t**2 + 3*t**2 + 2*t**2 + 6*t**2).\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -1931\nAnswer: -96.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 3. Suppose 0*u - 4 = -2*u. Let z be n(u). What is the first derivative of z - k**4 - 2 - 2 wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 761 or 760?\nAnswer: 760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Let p = h - -5. Suppose p + 82 = c. What is the highest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15035, -121245, -409529, -970925, -1896471, -3277205, -5204165?\n\"Answer: -15173*i**3 + i**2 - 2*i + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + q + 6 + 4*q - 3*q + q + (0 - 2 + 3)*(-q + 3 - 3))*(2*q**4 + 10*q**4 - 4*q**4).\nAnswer: 16*q**5 - 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 5 - 5)*(0*g**2 + 0*g**2 + g**4) + g**5 + 0*g**5 + g**5.\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - 0\/(-8). Which is the closest to -1? (a) 0 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 51. Let z = -34 + t. Solve -v = z*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 21*z**2 + 11*z + 26. Calculate p(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 716*d**3 + 2*d**2 - 2*d**2 + 79*d**3 + 394*d**3.\nAnswer: 1189*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11204 or 343?\nAnswer: -11204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k + 4 = 0. Let v = -1 - k. Let l be (-52)\/(-10) + 10\/(-50). Sort l, v, -5 in descending order.\nAnswer: l, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*s + 2*t, 4*s - t + 7 = 84. Suppose 16 = 4*r, -4*u + 0*r - 8 = -4*r. Suppose -u*f + 48 = -4*l, -5*l + 0*l = -s. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24*(-192)\/(-320)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {a: 4, i: 6, f: 1, o: 2, b: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((23\/(460\/20))\/((-2)\/5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**7\/21 + 71*d**6\/15 - 149*d**5\/10 - 215*d**4\/6 + 296*d**3\/3 + 292*d**2 - 2730*d. Let c(u) = 0. What is u?\nAnswer: -73, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*g*o**3*u*z - 506293*g*o**3*z + 69*g*o**2*u - 9*g*o**2*z + 4*g*o - 4*o**2*u*z + 6*u wrt o.\nAnswer: 216*g*u*z - 3037758*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2255)\/210 + 2\/(-21))\/(4\/(-24)). Let o(p) = 4*p**2 - p + 1. Let y be o(1). Suppose y*l = l + 192. Is x equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*y**5 + 0*y**5 + 11*y**4 + 15*y + 2*y**4 - 14*y**4 wrt y.\nAnswer: 240*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 7 - (2 - 0 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19077157 divided by -29.\nAnswer: -657833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v - 50*v = -128 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 7*z - 8. Let y(f) = -f**2 + f + 1. Let u(b) = -m(b) - 5*y(b). Suppose -2 = 4*t + 6. What are the prime factors of u(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.43185 to one dp.\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37981, 157349, 356295, 634819, 992921?\nAnswer: 1430601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/10 - u**2 - 24. Determine t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167064883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8 and 173\/780.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10345271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -1. Find the common denominator of (-24)\/c - (-15 + 12) and -24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7821 + 15867 + 3*b - 7780)*(0*b**2 - 4*b**2 + 0*b**2).\nAnswer: -12*b**3 - 1064*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 23*k + 120. Let v be r(-6). What is the highest common divisor of 64 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81\/2 - 561\/14. What is the nearest to -0.2 in -1, 0.06, h?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473831110?\nAnswer: 2, 5, 79, 1865609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + n + 4, 0*k + 16 = k - 4*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1103090056.9999689 + 1103090317. Let x = 171 + -431. Let j = b + x. What is j rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1405 - -1533. Suppose 91*u - q*u = 0. What is m in -2\/23*m**2 + 0 - 6\/23*m**4 + 8\/23*m**3 + u*m = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Suppose q - 3*q + 3*h = -18, 3*h = m*q - 27. Solve -5*d = 3*u + 9, q*u - 2*d + 4*d = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0 + 0)*(8505*f - 4857*f - 4611*f) in the form c*f**2 + j + o*f and give c.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m = -69*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8.709789 * 0.2\nAnswer: 1.7419578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -181, -106, -2, 2, 0, 1.\nAnswer: -181, -106, -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1849 and 607416839.\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -110*d**2 - 4539*d - 5558. Calculate t(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/1080 - b**5\/360 + 31*b**3\/3 - 3*b**2 + 21. Let h(t) be the first derivative of k(t). Factor h(l).\nAnswer: l*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*t - 75, t - 97 - 200 = -5*f. Let o be 3\/6 - (-6 + f\/8). Is o >= -2\/705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*a**3 + a**4 - 3*a**2 - 5*a + 4*a + 3*a + 2 + 3 to r*a**2 + k + c*a + u*a**3 + q*a**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 7962, -2 in decreasing order.\nAnswer: 7962, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 2*g**2 + 2*g**3 + 2*g**2.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 203*v + 4143. Determine u(-22).\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -43 - (1 + -10 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 - 5*y**4\/24 + 10*y**3\/3 + 2*y**2 + 1152. Determine t(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433492761?\nAnswer: 197, 397, 18329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkv when three letters picked without replacement from {a: 1, t: 1, o: 2, k: 1, v: 1, d: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2 - 3 + 8*h + 6 + 3. Suppose 2*n - 50 = -3*n. Calculate the remainder when f(3) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n**5 + 15267*n**4 + 122940*n**3 + 301785*n**2 + 216696*n + 22608 = 0.\nAnswer: -628, -4, -3, -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 1658843446?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - -1020212?\nAnswer: 1021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 15 - 18*b + 30 + 3*b**2 = 0. What is b?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 greater than or equal to -9\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4788 divided by -63\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -3, 3, -1456 in ascending order.\nAnswer: -1456, -31, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 1, -5, 0.11, -0.0042 in ascending order.\nAnswer: -5, -0.0042, 0, 0.11, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t + 4*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6317*w**5 - 7538*w**2 - 21*w - 4617697 wrt w.\nAnswer: -126340*w**3 - 15076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 232421891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) -0.2 (c) 3 (d) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k + 2. Let p(f) = f + 1. Give d(s) + 10*p(s).\nAnswer: -2*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from dsoqr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/232)\/((-1055)\/7596).\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1*3)*1. Let t be h - 0 - (-32)\/(-2). Let i = t - -33\/2. Which is the closest to 1? (a) i (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -14*a + 288 + 334 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 - 609*y + 21330 = 0. Calculate y.\nAnswer: 45, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8148388um in centimeters?\nAnswer: 0.00008148388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 5*i**4 + (2*i**2 - i**2 - 3*i**2)*(-2*i**2 + 5*i - 5*i) - 22*i**4 + 0*i**4 + 10*i**4 + i**3.\nAnswer: -3*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10159*n**2 - 9561*n + 84. Let g(j) = -10158*j**2 - 9559*j + 105. Let l(a) = 4*g(a) - 5*p(a). Find the second derivative of l(s) wrt s.\nAnswer: 20326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*t**2*z - 5242*j*t**2 + 2*j*t*z + j*z + 334*t**2*z + 3*t**2 wrt z.\nAnswer: j*t**2 + 2*j*t + j + 334*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 387263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -16007358.\nAnswer: 16007354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 34*z**2 + 43*z - 2687. What is p(-29)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0\/(-1))*(207 + -195). List the prime factors of (-71071)\/(-78) + (2\/t - 0).\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 - 796*m**3 + 0*m**2 + 171*m**3)*(-3*m + 3*m - m + (1 - 5 + 3)*(0*m + 2*m - m) + m + 0*m - 3*m) to l*m**3 + a*m**2 + i*m + q*m**4 + c and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33353, -33359, -33367, -33377, -33389, -33403?\nAnswer: -33419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - 5*m)*(-2 + 8 + 0).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - 4 = -j, 40 = 5*j + c. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g*i**2*o - 222*g*i*o - 45*g*o - 7*i**2*o + 2*i*o + 3*i - 661*o wrt g.\nAnswer: -4*i**2*o - 222*i*o - 45*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88.9 in -1, 0.4, -12, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + s - 4*j + 2, 6575*j = -2*s + 6577*j - 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-20)*0)\/2. Let k be 4\/8*b\/5. Suppose k = -i - 2, 2*o + 2*i - 6*i - 1474 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -3\/4, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10088 = 5*n - 2*a, 5*a - 6250 + 222 = -3*n. Suppose -n = -43*y + 36*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -0.5, 3.4, -2\/7, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 6*m + 2. Let o be v(7). Let a be (-4)\/(-4) + (0 - -74). Suppose -5*t = -a - 15. Calculate the greatest common divisor of o and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04088036 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*a - 19, -4*a + 9*a = -3*m. Suppose -w - 4 - 2 = 4*z, -2*z = -m*w + 14. Suppose w*n = 58 - 22. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 1031760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:45 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 826?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 54 - 81 = 0. What is the greatest common divisor of k and 180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23742\/30 - ((-24)\/15 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -66*n - 1312. Let i(o) = -o + 695. Give i(c(x)).\nAnswer: 66*x + 2007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3086, -5, 8 in ascending order.\nAnswer: -3086, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m + 2*b + 132 = 0, -126 = -3*m - 3*b. Calculate the highest common divisor of 5094 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 320134 + -145830. Let k = -80304 + n. What is k rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*1 + sqrt(187))\/sqrt(11) + sqrt(17) + sqrt(68) + 1)**2.\nAnswer: 10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -387*u - 23. What is the tens digit of l(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = -3*c, -2*c - 3 - 7 = -3*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210784267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-500)\/(-225)*153\/34.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/703 + -1973\/178562. Let s = f - -6287\/127. Find the common denominator of s and -31\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 15?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -120222201202?\nAnswer: 120222202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 0.5 in ascending order.\nAnswer: -7, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60368915*i*w**3 + 6*w**3 - 199*w**2 - 58225*w wrt i?\nAnswer: 60368915*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34192 is divided by 3180?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(10\/9)*k)*k\/(k**(-1)\/k)*k**(2\/5)\/k**(-1\/14) assuming k is positive.\nAnswer: k**(857\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1878 and 343488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**4 + 12*m**4 + 3*m - 7*m**4 + 1 to x*m**2 + v*m + p*m**4 + k*m**3 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 136*w - 41. Give c(45).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 59 + (3 + 3)\/(-2). Suppose 0 = -5*q + g + 117, 2*q = 4*g + g + l. Suppose -7 - q = -3*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:38 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 109, 1, -1, -49.\nAnswer: -49, -5, -1, 1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let s(f) = -9 - 1 - 2 + 2*f. Let k be s(8). Let v(t) = k - 4 + t + t. Determine v(n(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244\/55 - 24\/5. Let f be -1 + -2 + 2 + -3. Find the common denominator of k and 166\/f + (-2)\/1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-6))))**(2\/85)\/(o**2*o**(-2)) assuming o is positive.\nAnswer: o**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111692 equal to 111996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39*0.21.\nAnswer: 0.0819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.39381 + -1.3377. What is r rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 4*i - 8, r - 2*i = -6. List the prime factors of (55\/15)\/(r\/192).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 163*j**7\/210 + 19*j**5\/2 + j**2 - 3*j. What is the third derivative of f(p) wrt p?\nAnswer: 3912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 11 - 3 = 0. Let r be 2\/6*0 + (-77)\/(-11). Suppose -15 = -i*t - r. Solve 7 = 5*b - t*o + 3, o = 2*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/11 and -17\/54573.\nAnswer: 600303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -28. Suppose 3*r - 1 = u. Suppose -5*b + 4 = -v, 8*b = 4*b - v + r. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 10 = 2. Let i = 16 - g. Suppose a + d - 3*d = 154, -d + 652 = 4*a. What is the greatest common factor of i and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151.1 and -3394.3?\nAnswer: 512878.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 11, 3, 473815 in ascending order.\nAnswer: 1, 2, 3, 11, 473815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -1246, -2038, -2848, -3682, -4546, -5446?\nAnswer: -6388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18469 + 12800. Let j = b + 56623\/10. Calculate the common denominator of j and 57\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*754\/3744 + (-9)\/1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 2 - 3\/2*n**2 + 0*n. Let x(b) be the first derivative of -3*b**2\/2 + 13. Calculate p(x(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/2, 4, -2\/9, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 11946.\nAnswer: -1\/11946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 99?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/14*-2 + (825\/77)\/5. Let n(q) = 2*q**2 - 5*q - 2. Let v be n(-3). Solve -3*p + h*b - 16 = -6*p, -5*b = 3*p - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014 greater than 7011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -45, -4, 4, -0.36593?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:49 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 2678 = -650. What is the greatest common divisor of 112 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1006*7.1\nAnswer: -7142.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 75 = 5*w - 4*r, -3*r - 28 = -2*w. Solve -4*f - 12 = -w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28187 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4. Suppose 0 = r - 5*j - 31, -r + 3*j + c = -20. Let u = r - 4. Solve 0 = -p + o + o - 9, u*p = -5*o + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 19*i - 98. Determine t(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4094248293319 - 4094248293319 - 5*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 v when three letters picked without replacement from {g: 11, v: 1, o: 6}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/2*5*(-154)\/605?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5706\/8)\/(15\/80). Suppose -3*f = -15*f + x. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.97 - -2.77. What is the closest to 0 in -4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n. Suppose -3*r = -5*r + 12. Let l(j) = j**2 + 3*j**2 + 5*j**2 - r*j**2. Determine y(l(v)).\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -45, -67, -89, -111, -133?\n\"Answer: -22*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -2023003?\nAnswer: -2023005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1224809343\/317709481 + 832\/1701581. Let y = z + 2\/1307. Let h = 7 - 3. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5328 divided by -25212\nAnswer: 444\/2101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 459.4 - 469. Let i = -9.6 - a. Let z = -9 - -8. What is the closest to 0 in z, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microsecond in nanoseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 8. Suppose -4*x - 25 = -3*n, 5*x + 3*n = -2*n - 5. Let f be l(x). Is 8\/(-4)*3922\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1036 + 7249\/7. What is the nearest to -27 in w, 0.5, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -5*v**4\/4 + 10*v**2 + 66. Let k(t) = 0. Calculate t.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*441\/(-28)*20\/(-15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.376373 and -0.06.\nAnswer: 0.02258238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -12 - (8 + 16)) + (46 - (1 + -1)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -251, -242, -225, -200, -167?\n\"Answer: 4*q**2 - 3*q - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:31 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 10 + 2\/3*-3. Suppose h = -10*i + 42 - 12. What is the nearest to -0.4 in 0, i, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 50950734?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 n when four letters picked without replacement from {n: 2, a: 13, i: 1, y: 3}.\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10915690693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = -707 + 239 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h**2)*(2*h - 4*h + 0*h) + 3*h**3 + 4*h**3 - 10*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2855 = -1973. Let t(o) = -1204*o - l*o + 2413*o. Let d(f) = -171*f**2. Determine d(t(g)).\nAnswer: -684*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3, -6, -23041?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 43 (c) 1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8790623.98 rounded to the nearest 100?\nAnswer: 8790600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1.672706\nAnswer: -6.690824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-15)*(-87)\/58)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27898037.\nAnswer: 17, 37, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 - -41. Let v be (-24)\/42 + s\/21. Let l = v + 3. Put -2, 9, l in increasing order.\nAnswer: -2, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8357, 33452, 75285, 133862, 209189, 301272?\nAnswer: 410117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.1 - -22. What is the fourth smallest value in 0.4, 0, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/176*-6*((-99)\/14)\/9.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 244*y + 7442.\nAnswer: 2*(y - 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {k: 2, l: 6, h: 6, c: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssststssss. What is prob of picking 1 t and 3 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppph when four letters picked without replacement from hphpphppphp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 26 - 70 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 + 276. Suppose 0 = 4*m - 2*w + w + k, -5*w + 5 = 0. Let j be ((-21)\/m)\/(57\/(-8)). Which is the closest to 0? (a) 0 (b) j (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36057*l**2 + 2*l**4 + 10*l**3 + 0*l + 36112*l**2 + 2*l to the form g*l**3 + b + o*l**2 + c*l + m*l**4 and give o.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563108 is divided by 1446?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqgqlqlmllqqrqqlglg. What is prob of picking 2 l?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 12:03 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, 2, -46, 1, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4932249 to the nearest integer?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -z - v + 62, 4*z + v - 236 = 0. Let s = -24 + 39. Calculate the remainder when z is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24\/227 - -2483\/21338. What is the common denominator of z and 67\/987?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343 and 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22 + -0.26309.\nAnswer: -0.04309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-6)*5*(-8424)\/130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 28. Are z and -3\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from grprwwwppppp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -558.7 - -558.6. Let c = -2.8 - 8.2. Let a = 7 + c. Put y, -2\/5, a in decreasing order.\nAnswer: y, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32986132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 1, 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2515 and 1891280?\nAnswer: 1891280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p - 5. Suppose 5*h - 79 - 6 = 0. Calculate the remainder when v(-7) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1966 - 0.0226. Round j to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -595, 2\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 3158?\nAnswer: -3158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1825\/(-10878) - 160\/(-960). Is -1 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -16363*h + 16366*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23453838.\nAnswer: 2, 3, 1302991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 24*v - 39. Let b be (1 + 0)\/(157\/(-26) - -6). Let m be p(b). Solve 2*c = -3*a + 3*c - m, -3*c - 6 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5 - 1139372*q**4 - q**3 + 14920637*q**2.\nAnswer: -60*q**2 - 27344928*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-72420)\/(-153) - (-8)\/(-6) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21*u**2 + 34*u. Let w = 51 - 43. Let n(v) = -63*v**2 - 103*v. Let o(k) = w*s(k) + 3*n(k). Find the second derivative of o(m) wrt m.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17483 + 3011 = 723*g + 3865 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 1 + j**2 - 7 + 3. Let s(f) = -f**2 - 5. Let p(m) = 1. Let b(u) = 5*p(u) + s(u). Determine v(b(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f = 95*f + x - 2, -5*f + 2*x = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629117168.\nAnswer: 2, 97, 457, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103744 and 19886428.\nAnswer: 6484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14266083 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -164402*h - 2. Let r be k(-1). Suppose -f = -7*f - r. Round f to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149433870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 159*v + 4. Let j(a) = 159*a + 5. What is -2*j(c) + 3*u(c)?\nAnswer: 159*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(-2))*o\/o**(-4\/5))**(-7\/3)*(o\/((((o**(-2\/3)*o)\/o)\/o)\/o))**(1\/16)*((o**(-1)*o)\/o*o)**(-27) assuming o is positive.\nAnswer: o**(727\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674437233?\nAnswer: 7, 71, 3369089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 10)\/(8\/(-28)). Let x = 29 + l. Let m be ((-2)\/(-2))\/((-1)\/5). Let q(c) = -4*c + 7. Let z(w) = -w + 1. Calculate m*z(s) + x*q(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(832)*-1)**2 + -1 - (2*(sqrt(52) + -2)**2 + (-2*sqrt(1872))**2)) + 4.\nAnswer: -4269 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*b**2*m**3 + b**2*t - 22*m**3 + 27*m**2*t wrt b.\nAnswer: -192*b*m**3 + 2*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 994.92.\nAnswer: 13928.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490404300 rounded to the nearest 1000000?\nAnswer: 1490000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274 is divided by 630.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016562 is divided by 305?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/120 - i**5\/12 + i**4\/8 + 2*i**3\/3 + 17*i**2. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2))\/((-2)\/(-8)). Let k = -2 + 5. What is the third derivative of 3*t**2 - t**2 + 0*t**4 + k*t**y wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 694371 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135491, 135500, 135509, 135518, 135527?\nAnswer: 135536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c - c, -60 = -5*w - 5*c. Let z(t) = t**2 - 10*t - 5. Let v be z(w). Let d be 38\/(-30) - v\/(-10). Is 0 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 170325711.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5525, -10785, -15941, -20993?\n\"Answer: 52*k**2 - 5416*k - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 258, 1, -5, 18386 in decreasing order.\nAnswer: 18386, 258, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(2 - (-1690)\/(-850)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 + 716131581?\nAnswer: 716131582.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and 1.7.\nAnswer: -0.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(931)*-3 + sqrt(931))*-4 + -5*1*sqrt(931))**2 + -5.\nAnswer: 25132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13266)\/81 + (-136)\/(-36) + -4. Let m be (234\/(-65))\/(1\/45). Which is bigger: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023081191 to 7 dps.\nAnswer: -0.0023081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 350 - 350. Let r(t) be the second derivative of -6\/5*t**6 + 0*t**3 + 27\/20*t**5 + 5\/14*t**7 + u + 2*t - 1\/2*t**4 + 0*t**2. Factor r(n).\nAnswer: 3*n**2*(n - 1)**2*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 33*v + 246 = 26 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - u = 13, 2*h - 25 = 5*u. Let c(g) = -5*g**2 - h*g + 0*g**2 - g**3 - 4 + 4*g. What is the units digit of c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 7*y**2 - 296*y + 2279. Determine b(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 142 - 28 = 0. Let d(p) be the third derivative of 0 + 0*p + 1\/120*p**6 + 4*p**2 - 5\/6*p**3 - 1\/24*p**4 - 1\/15*p**i. What is d(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = 15. Let n = -1 - b. Suppose -42 = -n*x + 23. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011010 + 110?\nAnswer: -101011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 31255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 4 - (-40 + -38)) + 30 + -40.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 7 = -4*i + 24, -7 = -3*i + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l**2 - l + 28. Let y be w(0). Let p = y + 15. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63\/122 - 4441\/732. Let z be -2 - 14\/(-10) - (-827)\/25. Let w = z - 2693\/100. Calculate the common denominator of p and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 42*p**5 + 134*p**4 - 452*p**3 - 284*p**2 + 410*p + 150 = 0.\nAnswer: -5, -1, -1\/3, 1, 15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5288, -10600, -15912, -21224?\n\"Answer: -5312*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(891) - sqrt(891)) - -6*(sqrt(891) + -1 + sqrt(891)) - (1 + sqrt(891) + -3 + 2))**2*4.\nAnswer: -2376*sqrt(11) + 431280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + 12\/5. Solve d + 2*k = 0, 7 = -d - w*d + k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 228*k - 80*k - 8 - 78*k - 75*k + 5*k**2 + 0*k**2. What is i(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 53 = 63. Let r be 2\/u + (-16)\/(-10). Solve 2*m + 6 = 0, -r*m = 2*k + 2*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 58*q - 1503 + 1223 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4175255l to millilitres.\nAnswer: 417.5255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d + 3. What is v(8)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10214670+0.4\nAnswer: 10214670.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 9*q - 27. Let d be f(-3). What is the hundreds digit of (3*4\/d)\/((-4)\/1941)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2 + 48. Let o(k) = -2*k**2. What is c(o(r))?\nAnswer: 20*r**4 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 149656 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m - 20*m - 2 + 12*m. Let j be p(5). Which is the nearest to -0.2? (a) -2\/3 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74725286.\nAnswer: 2, 29, 1288367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12210 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(3\/(-6) - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/3)\/((-40)\/(-6060)). Let i = 595 - b. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799423?\nAnswer: 1799423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Suppose n*x - 4*g = 3*x - 1, g = -5*x + 16. Let b = x + -3. Which is smaller: -3\/10 or b?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021102011 + 0?\nAnswer: 21021102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 13 = 3*g, -60*g + 4*t = -58*g + 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - l. Let s(t) = -7*t**2 - 5*t - 19. Let a(f) = 6*g(f) - s(f). Let y be a(0). Is y + 2 + -1 - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7)*-1 - sqrt(7)) + sqrt(7)*2*-6 - ((sqrt(7) + 1 - sqrt(7))*-5 + -1).\nAnswer: -14*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -686, -671, -644, -599, -530, -431, -296?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:48 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 285.294ug?\nAnswer: 0.285294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2 + 8. Suppose 0 = 3*l - 2 - 4. Suppose -25 = -x - 5*p, -101 = -5*x - l*p + p. What is the remainder when x is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*b + 15*k - 11*k, -5*k = -2*b + 43. Solve 1 = 15*w - b*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-70)\/(-15))\/(20\/(-18)). Which is the nearest to 0.1? (a) 2\/7 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvcx. What is prob of sequence xxc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0.4 (c) 2\/83 (d) -1\/4 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7499*a - 4. Let n(f) = -33033108*f + 17619. What is -4*n(g) - 17619*p(g)?\nAnswer: 7551*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 49, 97, 163?\n\"Answer: 9*z**2 + 3*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 22. Let c be (-2 + m)*1 - -3. Suppose c = -8*h + 3*h + 105. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/284 - -481\/24708. Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*p + 9 = 26, p = -3*l + 27. Solve -l = 2*i + 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2975670561.\nAnswer: 3, 277, 3580831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -19*j**3 + 3*j**2 - 9*j + 93. What is the second derivative of o(z) wrt z?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (318\/(-12) - 1) + (-426)\/284.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let l(q) be the third derivative of q**4\/6 + 10*q**2. What is l(f(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13864, -27723, -41580, -55435, -69288, -83139, -96988?\n\"Answer: k**2 - 13862*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225*r - 714*r + 224*r to f + c*r and give c.\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - s = 3, 29 - 11 = v + 5*s. Suppose 0 = -8*a - 31 + 23. Sort a, v, -8, -2.\nAnswer: -8, -2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 115 = 5*j - 143, -2*q - 12 - 12 = -6*j + 3*j for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(0 + (sqrt(19) + sqrt(209)\/(3*sqrt(11)))**2).\nAnswer: -3040\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8084, 8147, 8210, 8273, 8336?\nAnswer: 8399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2380\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 1. Let z be k(3). Let d = -2 + z. Round d to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 - 54155?\nAnswer: -54112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339742122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4208 - -4208. Solve 0 = -31*t - c*t - 124 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*i - 2*i + r, 0 = -3*r - 6. Suppose 2*j - i*n = -2*n + 526, -787 = -3*j + 2*n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*g + 4*o + 3, -5*g = o - 20. Suppose -8 = -g*w + 61. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 + 3*v**4 - v**4 + (-368*v**3 + 5293*v**2 - 5293*v**2)*(0 - v + 0).\nAnswer: 366*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/13 - (1\/5 - (-2)\/(-10)). Sort 9, -2, r, -10, 3 in descending order.\nAnswer: 9, 3, r, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*a = -3, 4*b - 5*a = -8*a + 11. Suppose 2*z = -2*z + 160. What is the highest common factor of z and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -27 + 52 - 7*l - 30 - 2*l**2. Suppose 3*f - 4*f = -3. Suppose 4*c + f*b + 30 = c, -2*b - 8 = 0. Let z(k) = 2*k**2 + 8*k + 6. What is c*i(x) - 5*z(x)?\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706439 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64601 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -21.9, 0.5, -1\/2, 1\/3, -2 in decreasing order.\nAnswer: 0.5, 1\/3, -1\/2, -2, -21.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11359 + -61359. What is c rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 3 + -2 + sqrt(15)\/sqrt(3) - (-1*sqrt(5) + 1 + sqrt(5) + sqrt(605)*1 + sqrt(5)))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -51*k**3 + k**2 - k - 1. Let r be u(-1). Suppose -2*i + 2*w - 7 = -3*w, 3*i + 5*w - r = 0. What is the highest common factor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229555.8us to seconds.\nAnswer: 0.2295558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 95 - -62?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 6*x**2 + x + 1. Calculate n(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606365.\nAnswer: 5, 173, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1bb (base 13) to base 11\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -831417 by -831417.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 103?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1*g**3*g**17\/g**11 assuming g is positive.\nAnswer: g**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.72 + 0.82. Let z = -0.1 + f. Let w = 7 + z. Which is the third biggest value? (a) w (b) 5\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let n = 11 - 2. Let o(i) = i. Determine n*o(q) - 4*z(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.49498984 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:03 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7514 + -0.5486. What is the closest to d in -1\/3, -1\/11, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*g - 11 = 0, 4*g - 6*g - 11 = -3*j. Suppose -l + 16 = 3*u, 4*l - j = u - 2. Calculate the remainder when 43 is divided by 19\/1 - 2*(1 + l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1159242 = 196*a - 139258. Is 29 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 1.95. Let p = y + -1.5. Let a = -4 + 3.5. What is the biggest value in a, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.3. Let c = 373 + -379. Sort b, c, -0.1 in ascending order.\nAnswer: c, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 * -1.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2306060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 1135*v**2 + 324875*v - 1596125 = 0. What is v?\nAnswer: 5, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -2. Suppose 0 = -r*y + 1043 - 113. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -779*h**2 + 1239 wrt h?\nAnswer: -1558*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 17 = -4*u, -7*x + 8 = 2*u - 9*x. Let z = -202.7 - -203. What is the nearest to -2\/5 in z, 12, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 2*b, -s - 5 = -3*s - b. Suppose 3*l - 5*x - 4047 = 0, 4*l + 4*x = -s*l + 5364. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2\/7)\/p*p*p)\/p*p)\/p)**5\/(p**(-1\/4))**(-2\/25))**(1\/4) assuming p is positive.\nAnswer: p**(-507\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/8)\/((-23)\/(-92)))\/((-451)\/(-82)).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 6864?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 637.6764l?\nAnswer: 637676.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or 52?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 4 (c) 1\/2 (d) -1\/3 (e) 1\/23817 (f) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -25200, 1\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-1 - (2 + -11) - (-782 - -778)) - 5?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 * 1.895.\nAnswer: -125.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 8 = -20*y + 24*y, -y = 11*z + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083613 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 3*w**4\/16 + 5*w**3\/6 + 9*w**2\/8 + w\/2 - 6. Factor v(r).\nAnswer: (r + 1)*(r + 2)*(3*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 25. Let o be i(5). Solve 0 = -o*x - 2*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160082*s**3 - 15*s**2 + 14*s + 14119 wrt s?\nAnswer: 960492*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/960*r**6 + 1\/64*r**4 - r + 0 + 13\/2*r**2 + 0*r**5 - 1\/24*r**3. Let n(z) be the first derivative of q(z). Factor n(y).\nAnswer: -(y - 1)**2*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26022 - 5670. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78 or -350\/3?\nAnswer: -350\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1955 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p**2 - 15*p**2 + 65*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152433725, -152433716, -152433707, -152433698, -152433689?\n\"Answer: 9*g - 152433734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46\/3 + -15. Let b = s - 0. Let h = 0.443 + -0.243. What is the fourth biggest value in h, 4, b, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, -2\/11, 98, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/13325805?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 479\/3947 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -677217 + 677122, c - 96 = -5*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/3*(-26)\/624.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = -0*i. What is the nearest to 1 in -1\/12, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 12121211200?\nAnswer: -12121211113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.12082 litres to millilitres.\nAnswer: 89120.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*c = 281*c + 279*c + 682. Solve 17*u - c = 48*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.1 and -13237.2.\nAnswer: -80746.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.016 and -0.15.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 129414 + 43527 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274969749?\nAnswer: 3, 91656583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -3*t + 3*q + 22, 2*t - 17 = -5*q. Suppose 5*d + 0 = -g + 28, 4*g + 14 = d. What is the least common multiple of d and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 - 35*y**4 + 221*y**3 - 97*y**2 - 1002*y - 648 = 0. What is y?\nAnswer: -1, 4, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14770, 14813, 14884, 14983?\nAnswer: 15110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -2*c - 70 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, n: 2}. What is prob of picking 1 n and 1 h?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 b, and 1 a when four letters picked without replacement from boibffbaijibbfbifibj?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 29*b**2 + 4*b + 1. Let n(p) = -30*p**2 - 3*p - 1. What is -3*n(h) - 2*o(h)?\nAnswer: 32*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -191075046 - 4?\nAnswer: -191075050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of (1 + 114 - 3)\/((-13)\/(11076\/(-8)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05244 - 78.2.\nAnswer: -78.25244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**2 - 45*w + 23. Let p(k) = -3*k**2 + 11*k - 6. Let f(t) = 2*n(t) + 9*p(t). Let c = 34 - 5. Calculate the remainder when c is divided by f(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21833053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 379825.7 - -14.84\nAnswer: 379840.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 1. Let l(t) = -5*t**2 - 3*t - 23. Let s(m) = 2*b(m) - l(m). Let o be (((-500)\/(-35))\/5)\/(20\/(-70)). Is s(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -35*k + 600. Suppose 80 = f + 4*f. Let q = f - 11. Calculate the greatest common factor of k and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 2*r**5\/5 + 5*r**4\/24 - 471*r**2. Let j(b) = 12*b**2 + 3*b. What is 3*h(q) - 5*j(q)?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 1\/(-1) + 13 + 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 418659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t - 3*t + 9*t + 5*t - 6*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.4 + 125.4. Put 8, -2, 1, w in decreasing order.\nAnswer: 8, w, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 times 2123\nAnswer: -307835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 - d + 1. Let m(f) = -4*f**2 + 9*f + 51*f**3 - 29*f**3 - 2*f - 3*f - 30*f**3 - 4. Suppose p = 4*p + 3. Give p*m(h) - 4*a(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 72. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 11*p**2 - 22*p + 15. Let t be k(18). Suppose 0 = 3*i + 2*z - 563 - 572, 5*i + z - t = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1199)\/(-7194))\/(14\/273)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 509*h - 356. Give r(2).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/12 and 65\/81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -16*f**2. Let m(s) = -18*s**2 + s. Give m(j(k)).\nAnswer: -4608*k**4 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-38)\/12*-6. Let y be 3 + 1 + (-31 - -43) + 23. Is y greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b - 9 = -31*b + 3*a, 5*b = -3*a + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*(-147)\/(-9800)*40\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 7*u**4 - 3*u**4 + 5*u - 8*u**4 - 5*u + (-2*u**3 - 2*u + 2*u)*(-2*u - u + u) + (-8*u**3 - 7*u**3 - 21*u**3)*(-4*u - 4*u + 6*u).\nAnswer: 70*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 31.\nAnswer: 21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -7*i - 71*v + 84*v - 15, -4*i + 0 = -4*v - 12 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222021 + 101020?\nAnswer: -121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -6*q. Let p be (-18)\/20 - 2\/q. Let w = 8145.5 + -8146. Which is the biggest value? (a) 0.02 (b) w (c) 5\/3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6523 divided by -153\nAnswer: 6523\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -98, -10, 136, 340?\n\"Answer: 29*y**2 + y - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 1046\/15. Calculate the common denominator of x and -43\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let l be 1\/((-2)\/(-6)) + -1. Let z(h) be the first derivative of 1 - 3*h**2 - 3 + 4*h**2 + h**l. Determine z(r(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 - -692\/5. Let y be 0\/(-4) - (-2)\/1. Is v <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*q + 4*f, q + 2*f + f + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:05 PM?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -712 - -2574. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -1 + (61 - 55))\/((-4)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**2 - 6*c + 6. Let f(t) = -6*t**2 - 7*t + 7. Let b(y) = -6*f(y) + 7*j(y). Let a(o) = 8*o**2 - 4*o**2 - o**2. Calculate b(a(u)).\nAnswer: -117*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.03455 + 0.03455. Suppose -3*b + 3 = 4*c - 3, 3*c + b = 7. Sort -2\/17, c, o in ascending order.\nAnswer: o, -2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/6120, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 52*y**4 - 5*y**2 - 31. Let q(f) = -78*f**4 + 7*f**2 + 47. Let r = 14 - 21. Let v(j) = r*m(j) - 5*q(j). Find the first derivative of v(i) wrt i.\nAnswer: 104*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90053*x + 90048*x = 6*y + 2, x = y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 2517045*v - 5034094.\nAnswer: (v - 2)*(v + 2517047)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105141869?\nAnswer: 7, 691, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 43, -12 in increasing order.\nAnswer: -12, -2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.7 times -6094?\nAnswer: 77393.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*6*-2*sqrt(125) - (-3*(-1*sqrt(5) + sqrt(5))**2 - (-3 + sqrt(5) + 0)))*-6.\nAnswer: 23 + 2154*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let x(j) = 6*j + 6 + 2*j**2 + 0*j**2 + 4*j**2 + j**3. Let g(m) = 2*m**2 + 41*m - 71. Let a be g(-22). Let p be x(a). Give q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7320712.5ns to hours.\nAnswer: 0.00000203353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*a*c + 10727792*a + 55364*c wrt c.\nAnswer: 37*a + 55364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 + 148.8616. Round d to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(192) + sqrt(3) - (sqrt(3) + -1 + 1))*1)**2.\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41087860.16916 and 0.7.\nAnswer: -41087859.46916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/4 - 6)\/(1\/(-4)). Suppose d = -2*l + 62, -j*l + 5*d = -80 - 0. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.07, 1110, 0.11, -2\/23, -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54980 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 106*q - 200*q - 38 = -100*q - 153, 3*q + 80 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkgk when four letters picked without replacement from ggkggggggggkggkggg.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**3\/15 - 466*k**2\/5 - 931*k\/5 + 9945. Factor q(s).\nAnswer: -(s + 1)*(s + 931)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.45105 equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151532 * 1.\nAnswer: -151532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094537.\nAnswer: 101, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*m + 46, u - 28 = -3*m - 6. Suppose 7*w = m*w - 20. Which is greater: 19 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652550.\nAnswer: 2, 5, 31, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 375? (a) -289.1 (b) 0.2 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 14*t - 17. Calculate the least common multiple of 9 and j(-12).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpphpchhcpcc. What is prob of picking 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0.037 (c) -0.09 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + -1.33. Let x = 5.5 + i. Which is the closest to 0.1? (a) 2 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 0, -4, 5, 8, -2 in descending order.\nAnswer: 8, 5, 0, -2, -4, -177","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express (5*i - 3*i + 0*i)*(21*i + 91*i - 31*i)*(3 + 2 + 1)*(-i + 3*i - 4*i) in the form d*i**3 + n + p*i + h*i**2 and give d.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1906647.09000055 - 1906647. Let f = d + -0.09. What is f rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2983 bigger than -2987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245 + -245.337. Let k = 0.337 + v. Put -0.031, -1, k in descending order.\nAnswer: k, -0.031, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/703, 2\/13, 5\/2 in increasing order.\nAnswer: 2\/703, 2\/13, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000011 (base 2) to base 5.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6427769.4 to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -68*q**3 + 2*q**2 - q. Let i be z(1). Let u = i - -230. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58, -421, -1406, -3325, -6490?\n\"Answer: -52*h**3 + h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*154\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g*m**3 - 4*g*m**2 + g*m - 526*m**3 + 2*m**2 - 36 wrt m.\nAnswer: 42*g - 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -23. Let z(t) = -t**3 - 6*t**2 + 8*t + 7. Let l be z(p). Let b be 8\/(-48) + (25\/6 - l). Solve 4*n = -r + 4*r + 6, r = b*n - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*l**3 - 51*l**3 - 23*l**3)*(6*l**2 - 2*l**2 - 2*l**2) + 5*l**5 - 3*l**5 - 4*l**5.\nAnswer: -240*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31977*p**2 + 2*p + 29036 wrt p?\nAnswer: 63954*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4664321 is divided by 122743.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 26180 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 + 499 + (1 - -21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 147792546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuufffffuffuffu. Give prob of sequence ff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 3*j**4\/4 + 2*j**3 - 2*j**2 - 6*j - 94. Let c = 1 + 0. Let a(i) = i**2 - i - 1. Give c*v(m) - 6*a(m).\nAnswer: 3*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -467*l + 462*l + 17, -5*k - 5*l + 35 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22601.5007 rounded to the nearest ten?\nAnswer: -22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142.0606 + 142. Let n = 0.066 + x. What is n rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4175*m**2 - 4192*m**2 - 4139*m**2 + 12678*m**2.\nAnswer: 172*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246635*-2.\nAnswer: -493270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c*o**3 + 11*c*o - 623647*c + 3*o**4 wrt o.\nAnswer: -21*c*o**2 + 11*c + 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/126*6*621\/138?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 20. Let p be q(-10). Let l be (-45)\/18*(-12)\/p. Suppose 0 = -2*d - 4*s + l*s - 2, 2*d = -5*s - 18. Which is bigger: d or 2\/95?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31114489.6 to the nearest 10000.\nAnswer: 31110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5688271, 5688272, 5688273?\nAnswer: 5688274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282\/5 + -56. Let n = -0.585 - -0.885. Which is the nearest to -6? (a) 5\/2 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28163755*h*n**3 - 2*h*n - 3*h - 27255164 wrt n.\nAnswer: -84491265*h*n**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4889 - 4888.7699. Let z = -248 + 248.23. Let o = z - b. What is o rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g - 6. Let o(j) = -j - 5. Let p(m) = -m - 1. Let w(l) = o(l) - 2*p(l). Let y(h) = 5*v(h) - 9*w(h). What is the units digit of y(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*o + 6*o + 7, 2*d = -2*o. Let n(y) = d + 6*y + 8*y - 21*y + 12*y. Determine n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-23)\/(161\/42). Solve 3 = d*h - 14*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -807740 - -807735.2999858. Let j = 111.3 - 116. Let r = j - q. What is r rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, 2\/13, -13.2?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 189?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -1 + -2 + -1. Suppose -5*m = 8 - 3. Let b = z - m. Let a(x) = -2*x - 5. Give a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7092642570?\nAnswer: 2, 3, 5, 13, 18186263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 3)*(-698)\/(-4). Let m(b) = b**2 + 26*b - 29. Let r be m(-23). Let f = r - u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + q**3 - q**3 + (0 + 2*q + 0)*(-3*q**3 - q**3 + 3*q**3) + 4*q**4 + 16*q - 16*q + q**3 + 2*q**4 - q**3.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 208824 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3518, -21, -3 in increasing order.\nAnswer: -21, -3, 3518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*t = -30, t + t + 2 = p. Let v = 8 + p. Let q(j) = 4*j - 3. Let s be q(v). Solve -2*l + s*l - 5*c - 15 = 0, 5*l = 2*c + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449171796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 160*p + 164*p = 60, 3*q = 4*p - 60 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 10, q: 1, l: 4}. Give prob of picking 1 t and 1 q.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*u + 71*u - 18241 = -4*j, -9159 = -2*j + 5*u. Is 161 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 33 = 3*w, w - g = 4*g - 9. Let i = 20 + w. Let b be (1 + 3 - 17)*-1. What is the greatest common divisor of i and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (216 - 187) + (-165)\/3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*f**4 - 36*f**3 + 184*f**2 - 294*f - 9362.\nAnswer: 2748*f**2 - 216*f + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -993, -7897, -26631, -63111, -123253, -212973?\n\"Answer: -986*x**3 + x**2 - 5*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/60 + 7*g**4\/12 + 2*g**3\/3 + g**2 - 2*g + 42. Let j(w) = -1. Calculate 4*j(h) + z(h).\nAnswer: -h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*x = 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 55. Suppose 3*a - 6*h + 3*h = 75, -95 = -4*a + 5*h. Let l = a + s. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*o - 37 = 0, 0 = 4*c - 2068660*o + 2068667*o + 41 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(204) - 5*-1*sqrt(204)))\/(sqrt(480)\/(sqrt(20)\/sqrt(2))).\nAnswer: -1 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 348 - (8 + -4 - 8). Let b = -134 - c. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 3*r + 23464. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2 (c) 0.4 (d) 86 (e) -1 (f) 42\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4463 + 14174. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37103 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/((j*j\/(j\/(j*j\/(j*j*j*j**0))))\/j))\/(j\/j**(-2\/5))**37 assuming j is positive.\nAnswer: j**(-259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(64))\/(sqrt(810)*-2 - sqrt(810)).\nAnswer: -sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3936116 or -3935981?\nAnswer: -3935981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1493 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -11. Let b = 8 + w. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, 1\/30, 7 in ascending order.\nAnswer: -3, 1\/30, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6356 - -3264. Let d = -3092.001733 - b. Round d to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 10. Let s be g(-12). Let z be ((-24)\/42)\/(s\/(-7)). Is 30\/z + -2 + 3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 5*h**2 - h**2 + (-3*h**2 - h**2 + 5*h**2)*(3 - 3 - 4) + h - h - 2*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1395 and 3692100.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 6 = 2*b, -2525608*r + 2525610*r + b = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 14\/(-4))*(-16)\/(-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -370, -1418, -3162, -5602, -8738?\n\"Answer: -348*i**2 - 4*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 3*a + 7. Let f(t) = -2*t**2 - 5*t - 15. Determine -3*f(q) - 5*z(q).\nAnswer: q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-65))\/((-438)\/(-1898))*125\/(-3).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 1336, 2743, 4572, 6823, 9496, 12591?\nAnswer: 16108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 8:18 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/5 (b) -3\/8 (c) 0 (d) -0.5 (e) 58942\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 132 = -0*o. Let z be (-8)\/(o\/(-52) - 1). Let y = 13 + z. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-12))\/((-9)\/138). Let v = f + 55\/6. Let l = 0.598 - 0.098. Which is the third smallest value? (a) l (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*o + 32, 2*j - 5*o = j - 23. Calculate the remainder when 23\/(((-2)\/(-4))\/1) is divided by 13 + j\/(3 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -557*l**3 - 84675*l**2 + 84675*l**2 + (0*l - 5*l + 3*l)*(2*l**2 + l**2 - l**2) - 2*l + 2*l - 2*l**3 + 0 + 0 - 3*l**3.\nAnswer: -566*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.02 and -377804222.\nAnswer: -377804218.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:08 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) -0.4 (b) 5 (c) -4\/7 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1350560 (base 7) to base 13.\nAnswer: 64130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 145023 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.8 + -16.5. Let n = p + -3.9. Which is the second smallest value? (a) -0.5 (b) n (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/12 - c**3\/6 - 157*c**2\/2 + 16*c. Let n be w(0). Let m = -1415\/9 - n. What is the smallest value in 0.4, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 243. Let a = 250 - x. Let p(d) = 2*d**2 - 2*d + 3. Let u be p(2). Are u and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 16*n - 8. Let m(x) = 2*x**2 - 31*x + 15. Let l(q) = -4*m(q) - 7*t(q). Let p be l(12). What are the prime factors of 11*(-2)\/p*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 49 = 48. Which is the nearest to g? (a) 0 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (-78 - -7 - -30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 11*c = -51. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391942 to the power of 1\/2, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110976 and 3071424.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.954 + -0.046. Put -0.04, -1, 0.5, h in descending order.\nAnswer: 0.5, -0.04, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 2.8681?\nAnswer: 2.8681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-49)*7*7\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 392*r - 22393 = 64*r for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1337 + 0?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, -4\/9, 1, 2\/59, -5\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 2. What is the remainder when 22 is divided by x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 4221?\nAnswer: -4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.51\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 33. Calculate the remainder when 104\/12 + r\/(-12) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 959265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*p - 33, 17*h - 22*h = -3*p + 21 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -24. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(425)*1 - (-2 + 0 + (sqrt(17) + -1)**2).\nAnswer: -23*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*a - 92, 3*a = 2*g + 8*a - 181. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o + 4. Suppose -3*m - 2*b = -7*m + 182, 4*m - b - 181 = 0. Let h = m + -45. What is the closest to -4 in -0.4, h, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + 25)*132\/(-216)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154230 is divided by 30791.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - v**2 + v - 1679. Let j be h(0). Let u = j + 2545. Let z = -613 + u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let c(g) = -90*g + 3. Let d be c(-3). Let y = -3005\/11 + d. Is y less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102.5 - 102.5. Let q = 14 - 10. Which is the nearest to l? (a) q (b) 0.4 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/9))**(-2\/7)*f**(-4)*f*f*f\/((f\/(f*f**(-2\/23)))\/f)*f assuming f is positive.\nAnswer: f**(1507\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 412 = -1203. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.1. Let i = 1.3 - 8.3. Let o = 6.5 + i. What is the second smallest value in h, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4 - 14. Let h(j) = 4*j**k + j**2 - 3*j**2 - j**2. Let p(v) = 5*v**2 - 35*v + 4. Let z be p(7). Let n(g) = -3*g**2 + 2. Give z*h(s) + n(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 139013586661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 564 - 88. Let k = 699 - l. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -80, -18, -46 in decreasing order.\nAnswer: 5, 3, -18, -46, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 less than -1065?\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:03 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (4 + 4 + -13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0478 and -4.\nAnswer: -0.1912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 404156*x - 404150*x.\nAnswer: 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307*n**2*u**2 - 4689*n**2*u + n**2 + 542*n*u**2 - 367 wrt u.\nAnswer: 614*n**2 + 1084*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 33*n + 60. List the prime factors of h(-27).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 8. Let d = -15 - -20. Suppose d*r = z*r. Solve h + r = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 21*w - 473. What is the smallest common multiple of m(33) and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14774 and 7802?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -14 + 3 - (-7 - 3). Suppose -a = 2*z - 4*a - 746, 0 = -l*z + 4*a + 1496. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2)\/(-1 + 0). Let s = 8.7761 + -9.7761. What is the closest to g in 27, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.81 - 0.21. Let r = u + -1.664. What is r rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585027 and 7?\nAnswer: 4095189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -1, -0.2, -3, 0.0323 in decreasing order.\nAnswer: 2, 0.0323, -0.2, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8437.840332 and 6.\nAnswer: 8443.840332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.181 and -0.056.\nAnswer: 0.010136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 4*h - 1. Let a(w) = -w + 9. Let f be a(6). Let n be z(f). Suppose 22*q - 26*q = 5*i + 3, -q + 9 = -2*i. Solve -q*y - y = n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**5\/20 + 5*s**4\/12 + s**2\/2 + s - 1. Let x(h) be the first derivative of w(h). Let u = 52 - 47. What is x(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 44890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k. Let p(w) = 2338044*w. Calculate p(v(b)).\nAnswer: -9352176*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 60 in decreasing order.\nAnswer: 60, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*t - 4*t. Let f be ((-16)\/52)\/t + 63\/13. Solve -2*b = f + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (24 - 41)) + 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36653\/19 - ((-295)\/(-95) - 3). Suppose -m + 14311 = 41*s. Calculate the remainder when s is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4359*x - 1482 wrt x.\nAnswer: -4359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + u + 3 = 11, 0 = -4*m + 2*u + 2. Suppose -3019*i + 10 = -3014*i. Solve -3*g = i*r - 1, -2*g + 6 = -7*r + m*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -427 - -549. Calculate the remainder when f is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50335*b - 4136 = 50241*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 1. Let n be p(2). Let d(t) = 5*t**3 - 2*t**2 + 1. Let v be d(1). Is n at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 o, and 1 a when four letters picked without replacement from oayibbaobiaaabaii.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - l - 3 = a, l + 3 = a. Suppose 0 = -a*d - 4*d + 36. Let f(b) = -8 + 5*b + d - 2. Determine f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-18)*(-1 - -1). Let x be n*(20\/(-8))\/(-5). Suppose 55 = 5*r - 5*a, -4*r - 3*a + 0*a + 58 = x. Calculate the remainder when 25 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 4*z - 11*z - 4*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 215372132 a multiple of 2223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from xwqwxwtwgxwgwqwwxgg.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-46)\/(n\/((n\/n**(-2))\/n))**(7\/4) assuming n is positive.\nAnswer: n**(191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*s**4 - 297*s**3 + 3 + 1 + 298*s**3 + 22*s**2 to g*s**2 + q*s**3 + v*s**4 + j + c*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*n\/n**(-2\/3))\/n)\/n)**2\/(n**(2\/29)*n*n*n**2)*(n**8*n\/n**10)**31 assuming n is positive.\nAnswer: n**(-2761\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-15) - 7792\/(-13440) and 121\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*f = -25 + 5, 3*c - 3*f = -15. Solve 5*l - 3 = h - c*l, -5*l = -5*h + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 4 + (sqrt(7) + sqrt(7) + 4 - sqrt(7))**2 + 2.\nAnswer: 9*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 927 + 6*c - 885 - c + 2*c**2 + 23*c**4 - 5*c to the form p + t*c**2 + y*c + z*c**4 + u*c**3 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -451, -915, -1393, -1891, -2415, -2971?\n\"Answer: -b**3 - b**2 - 454*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26652300 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -71092a?\nAnswer: 710930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a + -15?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43366 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/33 and 11 - 77\/131274*18777.\nAnswer: 43758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 - 9?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.33 + -1.67. Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-14) - 10\/70. What is the second biggest value in 5\/2, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*b**2 + 28*b - 16*b - 16*b + 3 - 10*b - 11*b in the form v + n*b**2 + c*b and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -58654, -53\/3, 3, 10, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 450 + 437 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) 0.5 (c) 0.09 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -12 - (-1 + -37)) + -35.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132725*b + 281701 wrt b.\nAnswer: -132725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/20)\/(354\/(-4720))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 7:13 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24019, -23295, -22079, -20365, -18147?\n\"Answer: d**3 + 240*d**2 - 3*d - 24257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 996067708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1153125 - -6?\nAnswer: -1153116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 20\/6)*(8 - 5). Which is bigger: 12\/143 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 2*y**3 + 4*y**3 + 0*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*n = -23, -21 = -r - 4*r - 2*n. Let y be 4 + -4 + r + -2. Suppose 0 = -y*j + 108 + 36. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1411 is divided by 245?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 29, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a + 70*a + 46*a + 25*a.\nAnswer: 118*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 24*s**2 + 4*s + 4. Let m(c) = -73*c**2 - 11*c - 11. What is 4*m(u) + 11*o(u)?\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0337 * 10\nAnswer: 0.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 68284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*q - 18 = 10, -z + 27 = 5*q. Suppose 4*f = z*k - 50, -4*f - 25 = -k - f. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*z = 3*y - 4, 0 = -4*z - 4. Solve -y*d = -0*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -182 + 40. Let q = z - -273. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 0 - 10*b**2 + 2 + (-5*b**2 + 4*b**2 + 2*b**2)*(-5 - 3 + 5).\nAnswer: -12*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1350130 (base 7) to base 2.\nAnswer: 101011111110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - 4*t**2 + 14 + 0*t**2 - 2*t**3 + t**3 - 3 + 8*t to the form n*t**3 + d*t + b*t**2 + i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9) + (sqrt(81)*-1 - sqrt(9))).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 - 5*t + 5. Calculate the common denominator of 64\/55 and m(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1282, -2600, -3918, -5236?\nAnswer: -6554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 323*w - 7. Let d be j(-18). Let s(l) = 10*l**3 - 6*l**2 - 2*l - 6. Let u(x) = 20*x**3 - 11*x**2 - 3*x - 11. Give d*s(c) - 6*u(c).\nAnswer: -10*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 23174 = 4*w - 3*w, 0 = 2*o - 10. Is (w\/(-8))\/(-2 - 15\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3120?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2*g**3\/15 + 273*g**2\/5 + 3568. Determine p so that f(p) = 0.\nAnswer: 0, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14402314 is divided by 289.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 599407, 2397592, 5394567, 9590332, 14984887, 21578232?\n\"Answer: 599395*c**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1089*v**2 - 8*v + 6. Let d(c) = 2179*c**2 + 21*c - 15. What is 2*d(g) + 5*y(g)?\nAnswer: -1087*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(1088) + 2 - sqrt(1088)*-1*6)**2 + -3).\nAnswer: -53318 - 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (-2)\/3*(-159)\/53?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*u - 24, -156*o + 161*o + 28 = -4*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**2 - 11*a - 3. Let w be z(4). Let l = 230 - w. What are the prime factors of l?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1759.6593 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 3. Let n = 16 + -12. Suppose -t - 2*t = -n*c - 8, -3*c + 5*t - 6 = 0. Give l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -3, 13428 in decreasing order.\nAnswer: 13428, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2170, 4316, 6462, 8608, 10754, 12900?\n\"Answer: 2146*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1.24, 2.8, 3, 5, -1\/3?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 22*v**2 + 6. Let y(u) = -572*u**2 - 154. Let c(a) = -3*y(a) - 77*z(a). Let l(j) = -j**2. Give l(c(i)).\nAnswer: -484*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 + 7522378*u\/7 - 14146542693721\/7.\nAnswer: -(u - 3761189)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1677*t - 209*t**2 + 560*t + 560*t + 557*t.\nAnswer: -209*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20625, 20612, 20587, 20550?\n\"Answer: -6*j**2 + 5*j + 20626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9367511 and -0.34?\nAnswer: -3184953.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1537268 is divided by 731.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 668 divided by -4\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16, -2*k + 5*s = 10*s + 4. What is the least common multiple of k and (-2 - -1)*((-725)\/25 + 23)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*t**2 + 36*t**2 - 68*t**2)*(4*t - 5*t - t).\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1\/2, -1, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503949.\nAnswer: 3, 173, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5790)\/(-9))\/5*80\/(-704). Let p = -58\/231 + 3\/77. Let m = r + p. What is the common denominator of 44\/9 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175440, 175460, 175480, 175500?\n\"Answer: 20*o + 175420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*134\/(-335).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(2345\/84)*(-10)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/18522 and -87\/490.\nAnswer: 92610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 937182 - 937182.488809. Let w = -0.2888086 - y. Let o = w - 0.2. Round o to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -252, 117.93?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-32)*16\/(-12)*4. Factor -3\/4*p**x + 3\/4 - 3\/4*p**2 + 3\/4*p.\nAnswer: -3*(p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8597838 decades in months?\nAnswer: 103.174056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-1548)\/344)\/((-9)\/1))\/(2\/100)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1558 and 8 - 375\/(-1)*40\/(-2280)?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + y**4 - 3*y**4 + (3*y - 3*y - 2*y**2)*(-y**2 - y**2 + 3*y**2) + (2*y**3 - 6*y**3 + 17*y**3)*(0 + y + 0).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 215 = -4*t, -2*x - t + 148 = 3. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 5. What are the prime factors of m + 0 - 18\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.024 - 26.024. Let p = 23 + a. Let w(j) = j**2 - 5*j + 9. Let q be w(6). What is the third biggest value in p, 3, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-2 - (-1 + 3)) - (-14 - (-31 - -7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -1, 25593 in descending order.\nAnswer: 25593, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/3 + 65*o**3\/3 + 41*o**2 - 63*o = 0. What is o?\nAnswer: -63, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/25*5)\/((-5)\/5*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 - y + 14. Give n(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 3*l**2 - 2. Let h be (-30)\/(-25) + 12\/15. What is z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 52?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8*c - 280 = 0. Suppose -c*k + 31*k = 612. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 29*r**2\/4 - 1085*r\/4 + 31713\/4.\nAnswer: (r - 31)**2*(r + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/60 + h**4\/6 - 2*h**3\/3 + 3*h**2. Is 15 a factor of y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(832) - (sqrt(832) + sqrt(832)*-1*6)**2) + -3 + -3 + 1*((sqrt(832) - (sqrt(832) + 0)**2) + sqrt(832))).\nAnswer: -86552 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*n - 28, -6*n + 5*n + 20 = -3*c. Suppose 0 = -3*u, v - 5 = -4*u - 1. Calculate the smallest common multiple of n and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 22. Let p be (6\/l)\/(0 + 2\/(-4)). Let i be 1*20\/14 + -2. What is the closest to -0.1 in 5\/4, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -4*f**5\/5 - 11*f**2\/2 - 7. Find the second derivative of m(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 555 - 551. Let s be (3 - -2 - 0) + -3. Let o(l) = -s*l - c*l + 6*l - l**2. Let v(u) = 2*u + 1. What is v(o(h))?\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 8:14 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z**2 - 2*z - 2. Suppose 4*y + 18 = -5*p, 19*p - 22*p = -y + 4. What is d(p)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5775*t + 32*t**2 - 5775*t.\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 554*k**2 - k + 1 - k - 277*k**2 - 275*k**2. Let y(b) = -b**2 - b. What is o(p) - 2*y(p)?\nAnswer: 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:29 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.7. Let l(p) = 15*p**2 + 1. Let t be l(-1). Let a = t - 12. Put n, -0.4, a in decreasing order.\nAnswer: a, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-14))\/(b**10*b))**(-17) assuming b is positive.\nAnswer: b**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5985 and 143640?\nAnswer: 143640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.323 and 0.08.\nAnswer: 0.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 10. Suppose 8 = -4*n, 3*w - 32 = -4*n - n. Suppose 3*a + 3*k = 54, -3*k + 72 + w = 5*a. Calculate the remainder when h(-8) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 162.095.\nAnswer: 162.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7\/(49\/(-90))*1*(-224)\/12 and 56?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-16))\/(-15))\/((-5)\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 1 + -4)*-1 - ((sqrt(700) - (0 + sqrt(700))) + -4 + -3))**2.\nAnswer: -80*sqrt(7) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 73 = -o, -252 = -h + 5*h - 4*o. Let u = h - -98. What is the smallest common multiple of 35 and u?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3 (c) 3 (d) 6.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 195. Calculate the remainder when (-1276)\/(-66) + (-1)\/q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9515 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbfv when four letters picked without replacement from {f: 2, b: 2, v: 1, o: 1, z: 1, r: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 15 (c) -1 (d) 1\/2 (e) -5 (f) 1.146 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48\/119 - 2\/17. What is the biggest value in -0.3, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*o - n = -72*o - 2*n - 17, 6*o + 18 = 8*n for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:17 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346*u**4 - 20*u - 4.\nAnswer: 4152*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -75579126*k. Let t(a) = -5*a**2. Calculate t(s(l)).\nAnswer: -28561021434619380*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 5*k + 18. Let d be g(-5). Let v = d + 290\/9. Which is the smallest value? (a) v (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10 + 11 - 11 - a. Let q(m) be the first derivative of m**3\/3 - 7*m**2\/2 + 2. Let o be q(7). Determine l(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + 3*a**2 - a**2)*(1 + 4 - 3) + 4 + 15*a**2 - 4 - 6 - 4*a**2 + 6 to the form j*a + n + g*a**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:25 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 245\/2 + -120. Is a at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 - p**3 + 0*p**3)*(3 + 1 - 5).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 38. What is the remainder when u is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)*(-2 - 18\/(-8)). Let a = 10 - 5. Suppose k = j - a*j. Solve -4*d + d + 3 = j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 7*t + 4. Suppose -5*u = 5*p - 205, -t*u + p = -0*u - 144. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -1) + (-378 - -365).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16. Let b(w) be the second derivative of -1\/12*w**4 + 2*w + 0*w**3 + 0 + 0*w**v. Let r(a) = a**2. Determine r(b(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1922 divided by 34.\nAnswer: 961\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/48 and -95\/126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 5. Calculate the remainder when (71 + -5)*2\/a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxexexxkxexekxee. Give prob of sequence xxk.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j - j - 5 - j + 5 + (3 - 3 - 2*j)*(5 - 3 + 0) + 2*j - 4*j + j + 3*j - 2*j - 3*j - 6*j - 6 + 6 + j + 4*j + 0*j - 55 + 55 - 8*j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.27 - -0.03. Let i = -0.1 + 0.6. Let y = -0.7 + i. Put -2, y, z in ascending order.\nAnswer: -2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1985 - 4412 + 1932)*(0*c + 0*c + 2*c + (1 - 2 + 2)*(3 - 3 - c)) to w + d*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/21410 and 55\/1490136.\nAnswer: 7450680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 103535 divided by -20707\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4536.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 4504 and 0.7.\nAnswer: 4504.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 1)\/(2\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73.5 - 476.5. Let x = -406 - a. Sort 19, 3, x in descending order.\nAnswer: 19, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 28890 = -2*m + 28879, 0 = -r - 17*m - 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1)\/sqrt(11)*6.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((339\/(-8136))\/((-6)\/(-8))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/36)\/(6\/(-9)). Let v(t) = -5*t - 8. Let z(g) = -g - 2. Let i(u) = 2*v(u) - 9*z(u). Let s be i(-2). What is the closest to r in 0.3, -5, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*q**2 - 390*q**2 - 108*q**2.\nAnswer: -840*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -69843 divided by 254\nAnswer: -69843\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:36 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/184 and -61\/45402.\nAnswer: 181608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-252)*-7)\/(-7))\/(26\/(-104))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226041397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/736 and -81\/3680?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 + 2*u**2 - 3*u - 15. Let b(j) = 9*j**3 + 6*j**2 - 8*j - 32. Let a(l) = 3*b(l) - 7*h(l). Give a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24141285 a multiple of 1329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/9)\/((-1)\/18). Let x = -43 - d. Let a = x + -11. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c**4\/c)\/c)*c*c**(1\/6)*c*(c**(-2\/3)\/c)**(1\/11)*((c**1)**(23\/4))**(-2\/25) assuming c is positive.\nAnswer: c**(-367\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.92 - -3.22. What is the fourth smallest value in 4, -6\/17, -3, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:54 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 14181375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**7\/280 - n**4\/8 + n**3 - 3. Let q(u) be the third derivative of v(u). Differentiate q(t) with respect to t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-30)\/(-16))\/15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**2\/2 + 2*h + 3. Let a(r) = -r - 2. Let q(w) = 3*a(w) + 4*l(w). Let j be q(5). Solve i = -5*o - j, -o - i + 3 = -6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = r, 2*p + 0 = -2*r + 2. Factor 0*i + 2\/9*i**r + 2\/9*i**3 + 0.\nAnswer: 2*i**2*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u + 11. Let q be ((-10)\/(-20))\/(2\/(-4)). Let h(g) = g + 1. Let i(a) = q*y(a) + 6*h(a). What is the units digit of i(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 14) in base 7?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6.45, 1, 3.\nAnswer: -4, 1, 3, 6.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**3 + 2*w**2 - 1. Suppose 25 = -5*x, -3*k = 6*x - 3*x + 12. Let i be (-4)\/36*-6 - k\/(-3). Calculate r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(19 - 20))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67\/134)\/(((-2)\/16)\/((-7)\/28*103)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1019408 and 26832.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 5*o + 6. Let u(j) = -9*j - 2 + 11 + 2 - 5*j**2. Let z(g) = -7*b(g) + 4*u(g). Let l be z(2). Solve l = 3*q - 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -0.4, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -414\/13 greater than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c + 8*c - 3*c. Let y(f) = -2*f. Let r(s) = 6*v(s) + 5*y(s). Let w(k) = -4*k + 2*k - 2*k. What is w(r(b))?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -406*i**3*k**3 + 2*i**3*k**2 - i**3*k + 2*i**2*k**2 + 115*i*k**3 - 30*i*k + 96*i wrt k.\nAnswer: -2436*i**3 + 690*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.038895 litres in millilitres?\nAnswer: 4038.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + k = -3*u - 34, -2*u = 5*k + 50. Let c be (-29)\/(-5) + -4 + (-3)\/u. Solve c*m + 8 = 4*l - l, 0 = -5*m - 3*l - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*4\/24 + (-1015)\/(-3). Let g = y - 238. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -12) + (-108 - -56) - -9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-36)*15*(-4)\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86274601?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 + 1. Suppose 4*b + 5*k - 23 = 0, 3*b - 12 = -k - k. Suppose -f - 3*g = 10, 2*g = -b*f - 11 + 3. What is z(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 1, o: 4}. What is prob of sequence geo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 - (7 + 3) - (156 - 164)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + w + 2. Let t(d) = d**2 + d - 3. Let f be t(2). Suppose f*i - 32 = 7*i. Let g(b) = -6*b**2 + 3*b + 6. What is i*j(k) + 3*g(k)?\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21344.615 rounded to the nearest 10?\nAnswer: -21340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (0 - 88 - -2). Suppose 4*a + 21 = h. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/5)\/t**(-1\/6)*t*t**(-12)*t**(-14))**(-3\/10) assuming t is positive.\nAnswer: t**(673\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = 3*l. Let f(j) = -j**2 - 5*j - 1. Let c be f(-4). Put l, -5, c in increasing order.\nAnswer: -5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(-1148*(-411)\/(-76720))*(-18)\/(-4).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7*a - 16 = 0. Solve -9 = a*t - 4*v + 21, -5*t = -v + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v**3 - 21*v**2 + 8*v - 23. Let y(r) = 5*r**3 - 10*r**2 + 4*r - 11. Let a(n) = 4*j(n) - 9*y(n). Let w = 4182 - 4177. Calculate a(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = d + 8, 0 = -5*d - 2*a + 5*a + 75. Suppose 2*b + b = d. Let i(o) = o**2 + o - 1. Calculate the remainder when i(-4) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**4\/4 - 2*h**3 - 2*h**2 + h + 2. Let l be n(-5). Let r(c) = -6*c + 2. Is r(l) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/2213979 and -10\/27?\nAnswer: 19925811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 7e?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-40)*2)\/(-1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 41. Suppose q = -h - 7*h + 112. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 33236.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*y - 5*k + 73, -2*y + 98 = k. Suppose -c - y = c. What is the units digit of c\/(-2)*4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4255*m**3 + 29784*m**2 + 2*m + 36. Determine c(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2 + 8. Suppose r*z - 7 = -1. Suppose -131 = -z*n - 5*x, n + x + 4*x - 73 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3))**2 + -3 + 2*(1 + sqrt(3)).\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 20*u - 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9613549 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -750, -1726, -3092?\nAnswer: -4848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1099 + 616. Let v = -509 - w. Round v to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/3)\/(-4)*(-6)\/(-4). Let w = 0.2 - 0.15. What is the smallest value in c, w, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, 952.\nAnswer: 7, 12, 952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/7)\/((t**(-1\/4)\/t)\/t)*t**(2\/5)*t**(-4))\/((t\/(t\/(t*t*t**(-1\/2)*t)))\/((t**1\/t)\/t*t)*t**(-1\/8)*t**(-2\/11)) assuming t is positive.\nAnswer: t**(-9153\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*n - 50 = z, 4*z - 3*n = -40. Let c = z + 11. Let k = c + 25. 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: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -24. What is the third biggest value in c, -1\/8, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7286738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6197176.\nAnswer: 2, 139, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -104, -102, -112, -146, -216, -334?\n\"Answer: -2*a**3 + 6*a**2 - 2*a - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 11*l**2 - 3*l + l + 0*l**2 + 2*l**3 as v*l**2 + q*l + s*l**3 + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-17)*243\/(-1080)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 95933*c - 959368. What is a(10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4518 is divided by 561.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(2*sqrt(96)))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 10. Let h(k) = k**2 + 25*k - 221. Let d be h(-32). Suppose 9 = -c*w - d*t + 26, 12 = -w - 4*t. Solve -2*x + 0*x = -w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -8.144.\nAnswer: -0.8144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1\/3)))**14)**9\/(((i*i\/(i\/(i\/i**3)))\/(i*i**(-2\/7)*i*i))\/(i**(2\/19)\/(i**5\/i))) assuming i is positive.\nAnswer: i**(5562\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172dff (base 16) to base 10.\nAnswer: 1519103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002695926 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/24248 and 103\/10632?\nAnswer: 32225592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 36, 42, 48, 54, 60?\n\"Answer: 6*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 6, x: 4}. Give prob of sequence rix.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 2244108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 313121?\nAnswer: 313113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2480.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1586)\/2379 + -1 + 124\/6. Solve -8 = i*p - 20*p - 5*l, 5*p + 5*l = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.996 - -5. Let v = -0.0761 + 0.1801. Let j = w - v. Which is the fourth smallest value? (a) 0.5 (b) j (c) -0.08 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2 - 3. Let r be 3 + (1 + -2)*f. Find the second derivative of y + 10*y - r*y**4 - 8*y wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 12*t**2 + 8*t + 14. Let k = 30 - 18. Calculate the remainder when q(-11) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 5\/2 (c) 0 (d) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 + (-4 - -5)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-4 + 0 + sqrt(2057) + 3 - (-3 + sqrt(2057) + sqrt(2057)*2*1))*6)**2.\nAnswer: -3168*sqrt(17) + 296349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21221 * 133.\nAnswer: 2822393","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 20, 0*z = -3*z - 2*d + 44. Suppose 7 = 4*a - 5. Suppose -253 = -a*j - r, 5*r + 433 - 102 = 4*j. What is the highest common factor of z and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 4 + (-3 - 0). What is the units digit of (b - 2056\/(-10)) + (-2)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81481, 81372, 81263, 81154?\nAnswer: 81045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 521177, 1042326, 1563441, 2084528, 2605593?\n\"Answer: g**3 - 23*g**2 + 521211*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 558. Let a = s + 859. What are the prime factors of a?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-318*j - 330*j + 630*j + 366)*(-7 - 6 + 6) to the form r + n*j and give n.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Suppose w = 4*q + 84, -5*q - 100 = -a*w + 12. What is the remainder when 24 is divided by (-265)\/q + (-2)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1916076158 take away 0.3?\nAnswer: -1916076158.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 34*p - 799. What is u(24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*h + 9*h + 141075. Does 99 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 2*g - 6 = -2*x, 9 = -x - 4*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 5:43 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g + 8. Let d(q) = -q**g + 8*q + 8*q**2 - 5*q**2 - 5 - q**2. What is d(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/3)*v)\/((v*v**4)\/v))\/(v**(-3\/2)\/v)**(-15))**(-17) assuming v is positive.\nAnswer: v**(4199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, g: 7, y: 3, v: 1}. What is prob of sequence zzy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -45\nAnswer: -11\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.07 + -19. Put l, -3, -0.4 in descending order.\nAnswer: l, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -67735 (b) 0.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2172 (b) -0.7 (c) 5 (d) -4\/5 (e) -0.2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246199391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (18*7\/14)\/((-105)\/10)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 817?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6677*g**2 - 8684*g**3 - 4411946*g + 4411946*g wrt g?\nAnswer: -52104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, 0.01, 0.2 in ascending order.\nAnswer: 0.01, 0.2, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*v**3 - 57*v**3 + 97*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.97 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -32*f - f**2 - 1 + 15*f - 2 + 20*f. Calculate r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358851843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 16 + 8)*(-5*k**2 + 5*k**2 + k**2) - 2*k**2 + 0*k**2 - 5*k**2 + (1 - 1 - k)*(17 - 17 + 6*k).\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 111.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -300 (base 6) to base 16\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*j - 209*j + 1011*j - 184*j - 206*j - 206*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719143137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3 + (2 - 3 + 2)*(2 - 4 + 0) - 7 - 4 + 0)*(-4*m + 2*m + 4*m).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -190356.392 to the nearest one hundred.\nAnswer: -190400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-1 + 5 - 6)*(2 - n - 2)*(-2 + 0 + 5)*(7*n**3 - 3*n**3 - 3*n**3).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 0.5 (b) -2 (c) 0.12 (d) -1\/8 (e) 2\/189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**2 + 55*h**2 - 1 - 26*h**2 + 4 in the form d*h + z + w*h**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2703.2805 months?\nAnswer: 0.225273375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1) + 6 - (-4 - -8). Suppose u*r + 19 = 61. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -44, -51, -58?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15\/161 + -8\/161. What is the nearest to 1 in -2\/23, 4, -5, r?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 57, 189, 447, 873?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 22. Suppose 7 = 2*s - u. Let d be (-2)\/s - (-1)\/21. What is the second smallest value in -5, d, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - (-22)\/(-5). Let k be (3 + r)*(-234)\/2. Suppose 0 = 2*n + d - 47, 2*d + k = 5*n + 4*d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - ((-36)\/(-99) + (-40740)\/(-1584)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130339, -260657, -390975?\nAnswer: -521293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 * -21\nAnswer: -9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 73\nAnswer: 36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = 92*n - 1077 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 2*p + 76. Let c = p + -56. Let a = c - -47. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5608067 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -45*d + 5. Let c(r) = 137*r - 14. Determine 6*c(z) + 17*f(z).\nAnswer: 57*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313 - -318. Solve 25 = -o + 3*j + 9, 30 = -v*o + 5*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14*o**3 - o**2 - 4*o - 11. What is the remainder when 405 is divided by s(-2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18558 + -18958. Is -406 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) 0.2 (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1}. Give prob of sequence tz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 8?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1000) - 2*sqrt(1000))*-5 - sqrt(1000) - sqrt(1000)))\/(1*(-2*sqrt(2880) - sqrt(2880) - sqrt(45))).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.0353 days in weeks?\nAnswer: 139.1479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 14. Let h = -14 - -15. Let r be (1\/(h - 6) - 1) + 1. What is the second smallest value in r, 0.4, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*r + 5*y, -3*r - 2*y = -2 - 11. What is the derivative of u - 2*u - 2 - 6*u - r wrt u?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107\/528 + 1\/48. What is the third biggest value in -0.03, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34289117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 14*r**2 - 15*r - 3. Let z be x(-15). Is z + 27 - -3*1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/8 (b) -0.4 (c) -23 (d) -3 (e) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16375 = 1890*k + 23315 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -183063283 divided by 22823?\nAnswer: -8021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*9*(-180)\/(-162)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 43*j**2 - 31*j - 402. Let v be g(42). Calculate the greatest common factor of 1308 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsewkkhfffswkew. What is prob of picking 2 e and 1 f?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t - 2078 + 2088, 5*g = 2*t - 37 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 12 - 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:14 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.1 (c) -7 (d) -355 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -14*p + 84*p**2 - 39*p - 2*p**3 - p + 12*p**3 = 0.\nAnswer: -9, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 247226421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6) - 2\/1)\/((-25098)\/(-1472416))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 12:43 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**2 - 36*z - 16. Let v(r) = 2*r**2 - r - 1. Let f(g) = -i(g) + 5*v(g). Calculate f(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 18280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -520\/9 - -292\/9. Let g be (-21)\/(-9) - (-1)\/(-3). Calculate the common denominator of k and g\/(-6)*(-3)\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/60 + 9*z**2\/10 - z + 58. Factor l(f).\nAnswer: -(f - 3)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/60)\/(6\/10)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/51)*a*a**(1\/18)*a*(a*(a*a*a\/a**(-4\/11))\/a)\/(a*a*((a\/(a\/((a\/a**4*a)\/a))*a)\/a)\/a*a) assuming a is positive.\nAnswer: a**(25105\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 240 = -8*r. Suppose -6*f = -11*f + r. Put f, -5, 8 in descending order.\nAnswer: 8, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -7 - (6 - -11 - 107)) + (3 - 1).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 15 = -6*o + 9*o, 5*m = -3*o + 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/248 and 6\/42*(-98)\/(-48).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + 0.22\nAnswer: 53.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w + 20 = 48*w + 3*x, 3*x = 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1781166, 2 in descending order.\nAnswer: 2, -1, -1781166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/3, 55\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69339 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 19 + 3 - 359*c.\nAnswer: -359*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (10 - (-6 - -13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -5*p**2 - 6*p + 2 + 7*p - 22*p. Let q be o(-6). Calculate the highest common factor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -9*z - 5*m, 283 - 394 = -4*z - m for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -140836 smaller than -140060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4972 divided by -6\nAnswer: -2486\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-94)\/(-329)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 3*c + 1722. Suppose -94 = 8*t - c. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 17, 10, -1, -16?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 55. Let j = 4 + b. Calculate the remainder when j is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a**2*d - 22*a**2 - 2010*a*d**2 + 3125 with respect to d.\nAnswer: -15*a**2 - 4020*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1477790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 14. Let q(m) = 3*m - 5*m - 1697274 - 6*m + 1697274. Calculate q(d(b)).\nAnswer: -8*b + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136.14 + 1.14. Let f = 131 + d. Let l = 1.95 + -2. What is the third biggest value in -0.5, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/120 - o**5\/12 - o**4\/12 - o**3 + 3*o**2. Let h be x(-5). Solve t = -0 - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 373.6 + 82.4. Let r = a + -449. Let x be (-1 - 6\/10) + 1. What is the biggest value in r, x, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -39.923430873 and -20.642.\nAnswer: -60.565430873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 41 = 4. What is the second derivative of -t*p + 46*p - 2*p**5 - 4*p**5 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1807 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32918280 and 2743190.\nAnswer: 32918280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -560 (b) -1 (c) 6509\/9 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, -0.3, 91, -1\/4, -2\/29 in ascending order.\nAnswer: -22, -5, -0.3, -1\/4, -2\/29, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**3\/3 + 6*f**2 - 3. Let n be d(12). Let v be (1 + -2)*0 - n. Let p(w) = w**3 + w**2 - w - 4. Give p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.05263 to one decimal place.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:36 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 36*i - 201. What is p(11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 168, 202, 250, 306, 364?\n\"Answer: -s**3 + 13*s**2 + 2*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:34 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31605.04g to nanograms.\nAnswer: 31605040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 708907804*s**5*x**2 - s**2*x**2 - 41*s**2*x + 12*s**2 + 59*s*x**2 + 2*s*x + 5 wrt s.\nAnswer: 42534468240*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*f + 29*f + 41*f + 45*f - 36*f as j*f + s and give j.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 1 (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3078858?\nAnswer: 2, 3, 31, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 26*g - 7. Let s be b(4). Suppose -5*f - 17 + s = 0. Find the second derivative of 63*x - 56*x + f*x**5 - 2*x**5 wrt x.\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -5*d**6\/6 - 2*d**5 + 5*d**4 + 10*d**3\/3 - 15*d**2\/2 + 26. Solve r(j) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17181429091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) - (-7)\/3. Suppose 0*g + 2*g + f = 0. Let r = -3 - g. Which is the third biggest value? (a) -0.4 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2470763888 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*k**3\/7 + 10596*k**2\/7 + 1551104*k\/7 + 67188032\/7.\nAnswer: 2*(k + 394)*(3*k + 292)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.2. Let c be (68\/(-24) + 3)*(-16)\/4. What is the second smallest value in c, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 17. Let l(b) = 3*b**2 - 5*b + 5. Let r(i) = -5*i**2 + 8*i - 8. Determine s*l(h) + 5*r(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 46317072.\nAnswer: 1\/15439024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 1501*u + 482320. Give a(-466).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900 divided by 11.\nAnswer: 900\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34113560 to the nearest integer?\nAnswer: 5841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 5*s**2 + 3*s**2)*(144*s + 802*s + 861*s) + s**3 - 2 + 2.\nAnswer: 1808*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 105*r**2 - 121*r**2 + r.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4117.\nAnswer: 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -6*l + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-70))\/(16\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a331 (base 12) to base 4.\nAnswer: -10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799115 to the power of 1\/2, to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1658, -3318, -4990, -6680, -8394, -10138, -11918?\n\"Answer: -l**3 - 1653*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 5*b - 6. Let m be h(-6). Suppose 2*y + m*y - 2*n = -18, -3*y - 3*n - 3 = 0. Let x = -3 + -2. Are x and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3942489*f**2 - 4 + 2 - 3942624*f**2 - 1.\nAnswer: -135*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-5)\/175*-5). Suppose 3*n + k = 2*z, 5*z = z - n + 7. Suppose 0 = z*r - 5*v - 247, 3*r - 232 = -5*v + 25. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(300)\/sqrt(5) + sqrt(60) + sqrt(60) + sqrt(60))*2)\/sqrt(12) + (sqrt(45)\/(sqrt(324)*-2))**2) + -5.\nAnswer: -48*sqrt(5) - 125\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -55*w + 1106. Let j be t(20). Solve -j = -4*d + 2*m - 18, 0 = -3*d - 3*m - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*j = -221*j - 116. Let b = 9 - 5. Suppose -b*k - 5*n = -116, k - 3*n + j = 3*k. Is 29 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2439, 0.371?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.21 + 0.21. What is the second smallest value in l, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12.2. Let c = -3 + 6. Let y = -2.5 + c. What is the closest to -0.1 in -1\/7, s, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 287385 and -1?\nAnswer: -287385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.87 in 1, 0.5, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41987216?\nAnswer: 2, 127, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 7*i = 8. Factor 16\/9*z + 10\/9*z**i + 8\/9 + 2\/9*z**3.\nAnswer: 2*(z + 1)*(z + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + f**2 + 16*f + 43. What is the tens digit of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-44))\/((-100)\/(-55)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 21 - 15. Let k(w) = 3*w**2 - w**u - 9*w**2. Let r(h) = -h**2. What is k(r(j))?\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-12 - 0 - -1 - 8) + -16\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -48 + (11 + -1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-7 + (-2 - (-3 + -5)))\/(-1)). Sort z, -1\/8, 0.88.\nAnswer: z, -1\/8, 0.88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let u = 0.0086 + 0.0614. What is the closest to -4 in -0.4, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -386 - -384. Let w be ((-3)\/s)\/(15\/30). Solve -2*f = -1 + 3, -2*y = w*f + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {g: 6, z: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 + 49 + 16 + 109.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 3*p**5 + 2*p**5 + (-3*p**2 + 4*p**2 + 2*p**2)*(2*p**3 + 2*p**3 - 2*p**3) + 10*p**5 - 9*p**5 + 2*p**2 + p**2.\nAnswer: 9*p**5 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1322 + -292. What are the prime factors of x?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 6458?\nAnswer: 6454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -33.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1800 - 784 = 1292*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-18 + 1 + -141 + 18 - (4 - 19)).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 11*d**3 + 120*d**3 - 194*d**3 - 437*d**3. Is w(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*a - 3*a + 5, 0 = -a - f + 4. What are the prime factors of (31*a\/2)\/(2\/12)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 56. Let u be g(-19). Let m be (-13)\/(-3) - (-2)\/(-6). Sort 6, m, u in increasing order.\nAnswer: u, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7766 * -0.57125.\nAnswer: -4436.3275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32410506 and 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 715360.\nAnswer: 9\/715360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23403 and 47560.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)*d**(-11)*d*d)\/(d**(-1)*d*d*d**(-4\/5)) assuming d is positive.\nAnswer: d**(-332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/(-12)*9\/4. Let j be 4 + -3 + v\/8. Which is the nearest to -2\/3? (a) 3 (b) 1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 29*s - 53. List the prime factors of l(-28).\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244904.58 + 12665494.42. Let v = g - 12910413.999986. Let j = v + 15. What is j rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23507 - -41241. Suppose -7*q + w = -2*q - 3*u, -5*q = -4*u - 17732. Suppose 0 = 2*g, -n = -5*n - 2*g + q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 404*k**3 - 141*k**3 - 133*k**3 - 133*k**3 - 12*k - 12*k**2 = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 41 + 183. Suppose -q = 3*q - r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 54 = -2*j, -4*j - 134 - 10 = -5*v. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1081684155 divided by 3769\nAnswer: -286995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1926*j + 3854 = -1967*j for j.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + -18 + 17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 + -50 - 74\/7)\/((-1)\/14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 52*v - 57*v. Solve -v = -15*f + 18*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*n - 2*n + 6 = 0, 10 = 5*x + 5*n. Suppose -x*b = 2*b + 6*b. Solve b = 3*m - 4*g + 23 + 9, 0 = -2*m + 5*g - 33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72445 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014814 to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgm when three letters picked without replacement from ifhijmgg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (207\/(-6) - -17)\/(1*(-5)\/(-10)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9\/63*-21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667536.\nAnswer: 2, 3, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.05869\nAnswer: 0.29345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1861 - 401. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2 - 28 - 2. Let k be (6\/5)\/((-3)\/g). Solve -h + k = -4*s, -11 = -3*h + 2*s + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {y: 2, n: 5, o: 7}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 + -256.819. Let z = 0.18100209 - v. Round z to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418 + 205052*p**2 + 1418 + 210129*p**2.\nAnswer: 415181*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1179640 and 3447.\nAnswer: 10616760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*l - 3*r - 14, -6 = -3*r. Suppose 0 = d + d + 5*h + 4, -l*h - 10 = 5*d. Let q be (8\/(-6))\/(d\/(-6)). Which is greater: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-8\/3))**(2\/35)*(c*c*c*c**20*c)\/c*c*(c\/(c\/c**(-3)))\/c)**(-41) assuming c is positive.\nAnswer: c**(-17138\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107*b + 58*b - 51*b)*(2 - 2 + 2*b)*(b + 2*b - b)*(3 - 3 - 2) to a + g*b**2 + w*b + l*b**3 and give l.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = 4*k, -4*k = -5*r - 3*k + 13. Suppose -4*a = -r*p - 108, -3*a + 108 = a - 5*p. Let o = 128 - a. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -48*x + 0*x**3 + 0 - 7\/24*x**4 + 15\/2*x**2. Let j(m) be the first derivative of l(m). Let q(a) = -5*a. What is q(j(n))?\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**5)\/(q*q\/(q\/((q\/(q\/q**(-3))*q)\/q*q)*q*q))*q**5\/q**(-1))\/((q**(2\/7)\/q**(1\/5))\/(q\/(((q*q**1*q)\/q)\/q))**(3\/43)) assuming q is positive.\nAnswer: q**(172\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63249 times 13.6?\nAnswer: 860186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-70)\/(-75))\/7 + (-1132)\/(-60). Suppose -15*k = -16*k + 4*q - w, 32 = -4*k + 5*q. Which is the nearest to k? (a) 5 (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21*208\/4550)\/((-4)\/(-90))*10\/(-4)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -49.9. What is the nearest to g in 3, -3\/5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/147? (a) -3 (b) 5 (c) 4 (d) 2\/9 (e) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568853 is divided by 374?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, a: 4, g: 3, b: 1, o: 1, i: 2}. What is prob of picking 1 g, 1 a, and 1 i?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3042080 by 3.\nAnswer: 3042080\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004125 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -d - 5*t, -t - 1 = 3*d - 2*d. What is the first derivative of -d*c**3 - c**3 - 8 + 1 wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12322 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8729.219 kilometers in nanometers?\nAnswer: 8729219000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 16. Let t(p) = -2*p + 9. Let q(b) = -2*i(b) - 5*t(b). Let k(w) = 3*w - 11. Let c(n) = 3*k(n) - 2*q(n). What is c(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -236*(-1)\/2*2. Is z\/12 + 4\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -1.96. Let k = -0.01 - 1.99. Let m = o + k. Which is smaller: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3 - 14\/4). Suppose 5*j - 22 = -v*d, 0*j - 5*j + 25 = 5*d. Let p be -9 + 18 + 0 + -5. Sort -3, p, 5, d.\nAnswer: -3, d, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -4516?\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 53\/4 + (-1521)\/117\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3286 = h + 4*a, -3*h = -3*a - 9888. Suppose -5363 - h = -2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**2 - 8*f - 1. Let t(w) = 2*w + 2. Let u be t(-5). Is 8 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32\/2 - (5 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*t**2 + 1271*t - 127.\nAnswer: -(t - 127)*(10*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -58\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144 - (-39970)\/280)*48\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 - 1)*(-5*h**2 + 3*h**2 + 0*h**2)*(5268 - 10750 + 4240) to the form q*h + d + s*h**2 and give s.\nAnswer: -14904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzjsjbelz. What is prob of picking 1 z, 2 j, and 1 b?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -29*(-2 + 15\/6). Let g = l - -16. Is 1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7608 + 10970. Suppose 58*d = x - 926. Solve -16*i + d = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*o + 3, -2*o = 3*z - 4*z + 13. Suppose 2*n - z = -n, -24 = -5*a - 3*n. Suppose -4*l + a*l = -2. Solve 3*x - 2*x + 7 = l*t, -5*t + 13 = -x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + 67. Suppose 8*g - h = 2*g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**3 - 5*a**2 + 5*a.\nAnswer: -42*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2127*y + 21*y**3 - 2127*y - 8*y**2)*(4 - 7 + 1)*(-5 - 3*y + 5) in the form k + n*y**2 + f*y**3 + w*y + c*y**4 and give c.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1152) + sqrt(32) + (sqrt(288) + sqrt(288) + -2*sqrt(288))\/sqrt(9) + ((sqrt(288)*2 + sqrt(288))*-5 + sqrt(288))\/(sqrt(81)\/(sqrt(9)*2)))*3.\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by 82?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66670 = -76*v + 666*v for v.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-348148)\/(-8)*12\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + 2*h + 4. Let r be z(-3). Let m = r - -20. Let c(j) = j**2 + 8*j - 7. Let p be c(m). Solve 5*n = p*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 4, n: 3, i: 7}. Give prob of picking 1 u and 1 i.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*-3 + 1651\/(-65) + 21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8)**25 assuming q is positive.\nAnswer: q**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, k: 1, b: 5, m: 4, o: 1}. Give prob of picking 2 b, 1 n, and 1 m.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2)*3507\/835)\/(-3*(-4)\/(-56)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 55251 + 55248 - 221634 + 55889 + 3*w + 55246.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/254341 greater than -2\/579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -977514907\/6785 - -144070. Let j = w - 636269\/2971830. Find the common denominator of j and 91\/10.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 94*y + 11*y)*(4*y + 0*y - 5*y).\nAnswer: -97*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 858 and 1026?\nAnswer: 146718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.00075 + -7. What is w rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1539) + sqrt(1539) + 0) + sqrt(684) + 0 + -2)**2.\nAnswer: -240*sqrt(19) + 68404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3003372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-621)\/(-138)*(-264)\/54\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**6 + 216*c**3 - c**2 + 2150*c?\nAnswer: -360*c**3 + 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -1\/7 (b) -95 (c) 2 (d) 7 (e) -4 (f) -72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((67452\/(-98))\/33)\/((-10)\/(-280)*8).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -371a + -4?\nAnswer: -371e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*x - 13, 10 = -d + 4*x + 32. Let o = -0.29 - -0.08. Let s = 4.79 - o. Which is the nearest to -2? (a) d (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -189 + 194 - (-4 + -22)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16854083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268062 + 268755 = -99*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - i = 11, 4 = 4*i. Suppose -3*d + 6 = -h. Solve 12 + 8 = -d*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 358142.\nAnswer: 358140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13819624 and 61828?\nAnswer: 400769096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6 and 95\/3638266.\nAnswer: 10914798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -13a1501?\nAnswer: -13a14cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((25\/(-15))\/(-5))\/((-4)\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465 divided by 3?\nAnswer: 1465\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778582?\nAnswer: 2, 13, 67, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 526448.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41631*h**2 - 97*h - 2155460.\nAnswer: 83262*h - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54779?\nAnswer: 54779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o*r**3*t**2 + 12*o*r**2*t - 9*o*t**2 - 12*r**3*t wrt t?\nAnswer: -14*o*r**3 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1385700.48us?\nAnswer: 0.0000160382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 116*t - 377. What is m(-37)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 + 4*k**2)*(-4*k + k + 2*k + (-2 + 2 - 1)*(-2*k + 5*k - 5*k) + (-2 - 1 + 2)*(-40*k + 18*k - 89*k)).\nAnswer: 672*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yrrpxprxrpxrxf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11312 and 14392.\nAnswer: 2907184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 15) to base 4\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8.5*6.4\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37735, -151339, -340787, -606073, -947191?\n\"Answer: x**3 - 37928*x**2 + 173*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 161*a**3 - 2*a**2 + 3*a - 2. Let h(m) = 163*m**3 - 3*m**2 + 4*m - 2. Give -2*h(t) + 3*n(t).\nAnswer: 157*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (28 + -18 + (-6 - -1 - -12)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p + 76. Let y be x(17). Round y to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 1\/6*x**3 + 0*x + 0 + 0*x**5 - 1\/40*x**6 + 7*x**2 + 0*x**4. What is the derivative of l(p) wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)\/h)**(-13\/7)*h**(1\/7)*(h\/h**(2\/3))\/h*((h*h**5)\/h**(1\/6))\/(h*h**(-2)*h)**(11\/3) assuming h is positive.\nAnswer: h**(353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387260.1 take away 299?\nAnswer: 1386961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/1041 (b) 1\/2 (c) 0.594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v + 120 = 0. Let d be (5\/15)\/(2\/18). Suppose -k - d*k = -v. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvffvfdviff. What is prob of picking 1 d and 1 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s = -57*s + 442. What is the second derivative of -3 - s*g - 4*g**2 + 9*g**2 - 119*g + 6*g**3 + 3 wrt g?\nAnswer: 36*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h - 25. Let a be x(6). Let p = 25 - a. Solve -p + 1 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -57391, 1\/9, -11 in descending order.\nAnswer: 1\/9, -3, -11, -57391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/1*24\/(-108)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.3 (b) -3\/7 (c) 1\/3 (d) 0.57 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.75, 25708, 1?\nAnswer: 25708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 47*l - 61*l + 12*l. Let z(o) = -10*o. Give c(z(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16931 + -16937. Let v(n) = -n**3 + n + 1. Let j(k) = -2*k**3 - 6*k**2 + k. Let g(r) = j(r) - v(r). Give g(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1460 + 502 + 498 + 49*t**2 + 460. Let b(k) = 2*k - 1. Let z(x) = -x + 1. Let d(l) = -b(l) - z(l). Calculate d(i(y)).\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/31 (b) -1 (c) 13 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 + 8*t - 12. Suppose 2*r + 2*q = -5 - 15, 5*q + 32 = -2*r. Is 11 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 32. Let k be s(-11). Solve k = 5*j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*t = 1, 0 = -4*p - 0*t - 4*t + 12. Solve 0 = -p*k + 3*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/3 and -2\/360388635.\nAnswer: 360388635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/11 + 16\/11*u - 2\/11*u**2 - 2\/11*u**3.\nAnswer: -2*(u - 3)*(u + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 4c32?\nAnswer: 4c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1236 - -1236.0000000618. Round f to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162951.\nAnswer: 1162951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177206?\nAnswer: 2, 1088603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 0*z**2 + 2*z**2 + 0*z**2 + 0*z**3.\nAnswer: 2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5c (base 13) to base 6.\nAnswer: 30204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3591)\/(-2106) + 3\/(-78))*4\/(-5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 2\/7*q**2 + 1\/70*q**5 - 1\/21*q**4 - 1\/21*q**3 + 0 - 225*q. Factor n(m).\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kmdnc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Is 4 a factor of (-30)\/l*(-4)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577259 divided by 577259?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-384 + 3*u - 466 + 1013)*(2*u**2 - 6*u**2 + 2*u**2) + 2 + u**3 + u**3 + 0*u**3 in the form h*u + w + t*u**2 + p*u**3 and give t.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)\/((t\/(t\/t**(-3)))\/t))**(-37)\/(t**(-2)\/(t*t\/t**(-2\/9)))**(-26\/7) assuming t is positive.\nAnswer: t**(-3610\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 10*p - 145 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 251\/(-4) + 0 + (-4)\/16. What is the remainder when 106 is divided by (216\/y)\/(2\/(-7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 49*u**2 + 40*u**2 - 89*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*w + 2*w - 2*w**2 + 51*w in the form x + o*w + l*w**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.07 + 23.06980171. What is h rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*t = -12, 5*t - 2 = -4*x - 9. Suppose m - x = -4. Let a(c) = -5*c - 3. Calculate a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 482648 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52.35 + -8.35. Let l = 61 + g. What is the nearest to -0.1 in -6, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -752\/13. Suppose 2*m - 10 = -0*m. Which is the third biggest value? (a) r (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7*a - 2*z - 15, a + 4*z = 25. Suppose -2*m + n - a*n = -10, 2*n - 41 = -5*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(18)\/sqrt(3)))\/(sqrt(2) + sqrt(8)\/(sqrt(16) - sqrt(4))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -518\/5. Let d be 6\/10*((-657)\/(-189) + -3). What is the nearest to q in d, 3, -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, j: 4}. Give prob of picking 2 s.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -7 (c) 0.12 (d) -16329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 25. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + ((-6)\/2 - -4). Let c be ((-1)\/(-3))\/(p\/6). Suppose 5*u - 32 = 2*z, 4*z - 5*u + 45 - c = 0. Is z less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 33. Let z = -9 - -16. Let f = 20 - z. Solve r - o = 4*c, -5*r + f = -2*r + c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 0*w = 264. Suppose 56*m - 57*m + 132 = 0. Suppose -4*i - 3*j = -j - m, 4*j = -i + w. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -43505*w + 330. Let a be n(6). What is a rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fc + -4?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26890327 divided by 33157?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 != 1355\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -76*d + 6. Is 39 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/12 + 5*a**3\/3 + a**2 - 3*a + 6. Let f(h) be the first derivative of d(h). What is the units digit of f(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzccczczcczc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.91313 - -0.603\nAnswer: 2.51613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 8 - 2*i - 5 - 5 + 21. Let u(f) = 14. Let s(t) = -5. Let v(z) = 11*s(z) + 4*u(z). What is 4*k(r) - 12*v(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-8 - 3)*1. Solve -9 = 4*r + q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Let d = 121.4 - 122.4. Which is the nearest to d? (a) 0.5 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*z**3 - 126633*b**3*z - 3114*b**3 - 3*b + 2 wrt z?\nAnswer: -3*b**3*z**2 - 126633*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 10\/9, -5174.9, -1\/3, 0.5?\nAnswer: -5174.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1\/15*a**6 - 3\/4*a**4 + 0*a**5 + 0*a**2 + 0*a**3 + 0 - 2*a. What is the third derivative of n(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 4*f + 24 - 19 as o*f + g and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 20. Put 6, -2, o in ascending order.\nAnswer: o, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5470 by -9.\nAnswer: -5470\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = k, -4*k + 0*k - 5*m + 4 = 0. Determine q, given that -4 + 0 + 2*q**2 + 4*q - k - 1 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*x*(x\/(x*x\/(x**(-3\/11)*x)*x))\/x*(x*x\/(x**(-1)\/x))\/(x*x\/(x\/x**(-1\/9))*x))**44 assuming x is positive.\nAnswer: x**(76\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/21 (b) -0.2 (c) -30 (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/1561?\nAnswer: 34\/1561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1969*a**5 + a**2 - 7*a - 35 wrt a?\nAnswer: -118140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 104 = -0*d. Suppose 4*o + b - 242 = -194, -69 = -5*o + b. What is the greatest common divisor of o and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2885463.6 nanoseconds?\nAnswer: 0.00004809106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3316, -5197, -8244, -12457, -17836, -24381?\n\"Answer: -583*k**2 - 132*k - 2601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + 25 + -26 + (5 - 22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 3*h**2 + 11*h. Let y be l(-5). Suppose -2*f + y = 2*n, -2*n = -5*f - 4*n + 291. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2361 (base 7) in base 12?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.225 less than 31?\nAnswer: 40.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 7.09. Let p = 130.9 - 138. Let u = p - o. Is -3 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5 = 0, -388*m - 4*z = -386*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 167 - 163. Which is the fourth biggest value? (a) 0.4 (b) 17 (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04232 - 4.04232. Which is the fourth smallest value? (a) 1 (b) 0.05 (c) -0.7 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3789\/77 - -546\/11. Let -15\/7*m**2 + 9\/7*m - y*m**4 - 2\/7 + 11\/7*m**3 = 0. Calculate m.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561772117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**4 - a**3 - a. Let b(p) = 49*p**4 + 4*p**3 + 45*p. Let j(i) = b(i) + 4*d(i). Find the second derivative of j(g) wrt g.\nAnswer: 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17638552 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h. Let x(i) = 28*i**2. Determine x(v(p)).\nAnswer: 28*p**4 - 56*p**3 + 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37690124 is divided by 733.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*2772\/(-264)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-45)*6)\/((-2)\/24). Suppose 15 = -q*j + 21*j. Suppose p - 2*f = 10, 2 = -p - j*f - 3. Sort p, -3, -2 in descending order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1\/(-5))\/(3472\/3255).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6324259.\nAnswer: 6324259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.821817l to millilitres.\nAnswer: 7821.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 z when four letters picked without replacement from {z: 11, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70961 + -5b?\nAnswer: -709bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239234?\nAnswer: 2, 119617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*f - 5 = 0, 641039*d = 641035*d - 2*f - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-1)\/(-3))\/(2\/6))\/(352\/96). What is the biggest value in -3\/8, -12, -3, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 20, -736*o + 733*o + 3 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(-2*sqrt(450) + sqrt(450)))\/(-4*(sqrt(729) + sqrt(729)*2)).\nAnswer: -5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 377305 + 657?\nAnswer: 377961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:54 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(18)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -39. Suppose -5*m = -v*n + 65, 0*m = m + 4*n + 28. Let i be 14 - (m\/(-4) + -2). What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**3 + 27695*y - 46303?\nAnswer: 3*y**2 + 27695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from {s: 1, g: 2, x: 2, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 850780*m - 452391630250.\nAnswer: -2*(m + 1063475)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.63 - 0.37. Let z be 32\/24*3*1. Which is the smallest value? (a) h (b) -2\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 1 - 1 + 0*a + 3*a**5 + 0*a + (3*a + 1 - 1)*(-a**4 - 2*a**4 + a**4).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + sqrt(171)*-4)*5)**2.\nAnswer: 1436875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, y: 3, n: 4}. What is prob of sequence ay?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 - 227.2. Which is the nearest to 0? (a) -1.5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 - -2)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 y, and 1 j when three letters picked without replacement from {v: 2, k: 11, j: 2, y: 4}?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.33812 and 0.1128?\nAnswer: -0.038139936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128769, 257497, 386225?\nAnswer: 514953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812833483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 23*p**4\/12 - 13*p**3\/6 - 3*p**2\/2 - p - 14. What is the second derivative of j(w) wrt w?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 4.973597?\nAnswer: -5.073597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -31. Suppose -13*k + 4*f - 5 = -12*k, 0 = 2*k - 2*f - 20. Solve c - k = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 5. Suppose 227 + k = z. What is z rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12*c**2 + 5*c - 7. What is the remainder when 1066 is divided by x(2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (17 - (-22 + 32))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 992 - 994 = 0, -3*v = 12*d - 174 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*s + 22 + 3, -5*s = -3*c - 25. Suppose c*o = 15*o - 3210. Suppose -9*m = -7*m - o. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) 2 (c) -2 (d) 12.05 (e) 285 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376988 by 316.\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.03. Let k = 0.09 - u. Let o be (-20)\/(-16) + (0 - 2). Which is the nearest to k? (a) o (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 3*j + 2. Let m be z(8). Suppose 4*s = 4*w + 2*s - m, -4*w = -5*s - 145. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**5 - 98535*m**4 - 643185430*m**3 - 1363399685900*m**2 + 177696207621000*m + 179058964220000 = 0.\nAnswer: -6610, -1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 15*f**2 - 13*f - 21. Let u be s(16). What is the first derivative of u + 21*z + 12*z - 3*z wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.45 - 0.05. Let n(m) = -2*m - 1. Let u be n(-4). Let o = u - 9. What is the biggest value in o, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**4 - 21*c - 719*c**5 + 722*c**5 - 14*c wrt c?\nAnswer: 60*c**3 - 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 5*h - 4*j, 0 = 3*h - 15*j - 79 + 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 2*n - 3*n - 3*n**2 + 1 + 2*n + (-n**2 + n**2 - 5*n**2)*(3 - 3 - n).\nAnswer: 7*n**3 - 3*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v. Let p(m) = -5*m**2 - 10*m - 3. Let g(w) = -p(w) + 3*y(w). Let a be g(-6). Let u(j) = -31*j - 5. What are the prime factors of u(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Solve y = -7*o - 18 - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 14*k**2 + 27*k + 66. Let y be x(-13). Let d = 4 + -2. Calculate the remainder when 24 is divided by d\/(-3 + y\/(-36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101100011101 - 101011000?\nAnswer: 101100111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 35 + 73. What is the smallest common multiple of 2 and v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1632 and 6.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*12\/(-16)*-2. Suppose -u + r = u + 2, y*r = 0. Which is the third smallest value? (a) -2 (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*x - 9269 = -70*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 28*z = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152872*j*q**2 - 176476*q**2 wrt j?\nAnswer: 152872*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 6*i. Let j be y(-7). Suppose 5*u - 4*k + 19 - j = 0, u - k - 18 = 0. Let c = -4 + u. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 4665556*u - 4665560.\nAnswer: 4*(u - 1166390)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 7*g**2 - 20*g + 5. Let h be s(-9). Calculate the greatest common factor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 6*r - 6*r + (-2 + 5 - 1)*(1 + r - 1) - 4*r - 2*r + 0*r to the form x*r + i and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let z = 230 - -93. Let v = 325 - z. Which is the biggest value? (a) o (b) 14 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322978987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17097.4473 rounded to the nearest one hundred?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400 + 5*h**3 + 391 - 1281 + 490.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100200 + 10?\nAnswer: -100140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 572023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -46. Suppose 53*u + 96 = 65*u. What is the remainder when k is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6447 + -6300. Which is bigger: 11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 + -281. Calculate the least common multiple of m and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*j + 91, 4*f + 114 = 4*j - 26. Let p = -16 + j. Suppose -x = o - 0*o - p, -5*o - 2*x = -94. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67 + -5?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 40 = 2*j. Let h be (-5)\/(-4) - 15\/j. Let p = h - 2. Which is the second biggest value? (a) p (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*i + 2, -8*i + 17 = -4*i - h. Let t = -0.12 + 0.12. Let p = 0.3 - 0.8. Which is the nearest to 0? (a) t (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 16 = g, 7*g - 26 = -3*l + 3*g. Suppose l*n - n - 1240 = 5*o, -n + 752 = -3*o. Let w = -3152 - o. What is w rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6324 rounded to two decimal places?\nAnswer: -8.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i**2 + 2*i + 3. Let v(n) = n**2 - n. Let k(a) = -h(a) - 6*v(a). Let q = -6 + 1. Is k(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1365172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.3. Let w = -0.2957 + f. Round w to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303568 is divided by 23340.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/10)\/(3\/(-13041)). Let a = 4794 + m. Calculate the common denominator of -13\/22 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15159774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a kilogram in grams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-17 - -8) + 13 - (-2 - 13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 2 - 1) + 3. Let b be -1*4\/(16\/(-4)). Let y be (10\/b - -2)*(-1)\/(-2). Solve 0 = 3*k + 5*l - 13, -5*k - 2*l + u = -y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*h + 6*i + 1350, 5*h - i = 2270. What is the highest common factor of 91 and h?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, v: 4, c: 5}. Give prob of sequence vc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10411 is divided by 395.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**6\/120 + 31*y**5\/60 - 19*y**4\/12 - 10*y**3\/3 - 108*y**2. Is 19 a factor of l(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 28983.29us?\nAnswer: 28.98329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969, 975, 991, 1023, 1077, 1159, 1275?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*(sqrt(95) - sqrt(95)*2))\/sqrt(5) + 1*(-1 + sqrt(1216) + 4))**2.\nAnswer: 60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 60 = s, -4*s - 2*n + 61 = -3*s. Suppose 2*u - 67 - s = 0. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 47732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 70 = 1425*c - 1429*c, -b - 23 - 57 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582\/14 + (-8)\/14?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13364 - 13382 = -3*c, 3*s - 33 = -4*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616.96 - -617. Which is the nearest to 1? (a) -0.5 (b) -4 (c) 0.5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/29 and 82\/10113315.\nAnswer: 10113315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 34*g. Let a(s) = -122*s. Determine q(a(f)).\nAnswer: -4148*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -47?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8) - 1715\/28. Let w = 87 + p. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w - 10. Let z be l(5). Solve -r = -5*r - z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -34 - 22*x - 39*x + 0*x. What is the remainder when n(-1) is divided by -10*(-1 - -2)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -5.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 equal to -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in -3.9, -3, -0.4, -0.3, 152\/5?\nAnswer: 152\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 126474.\nAnswer: 252948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, 4, 0.45, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)\/g)\/g**(-19) assuming g is positive.\nAnswer: g**(308\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 560706667 a multiple of 6486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211799412 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7941*b = -7929*b - 135420. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 5*a + 12*a**2 + 6*a - 7*a**2 + 5 - a**3. Calculate r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/6 + 64*i**3\/3 + 253*i**2\/6 + 21*i.\nAnswer: i*(i + 1)**2*(i + 126)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5762671 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 195, 355, 579, 867?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 5, -115, 0, 10, -6, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**4 - 3*y**4 + 9*y**4 - 48 + 46 - 10*y**2 as r*y + t*y**2 + v*y**4 + b*y**3 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2101*d**2*l**2 - 14*d**2*l + 60731*l**2 - 2 wrt d?\nAnswer: -4202*d*l**2 - 28*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*j = 277*j + 16326. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjggtttjtgtgjjtg. What is prob of sequence ttu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7659 and 17270712.\nAnswer: 397226376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 5300.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13302.275 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 99*x + 4. Let c(z) = 55*z + 2. Let n(y) = 11*c(y) - 6*k(y). Let h(r) = r. Determine n(h(a)).\nAnswer: 11*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 4*z - 24. Is 24 a factor of g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 32. Let l(j) = 6*j**2 + 4. Let f(i) = 13*i**2 + 9. Let n(u) = s*l(u) - 4*f(u). Let d(t) = -37 + 37 + 11*t. What is d(n(h))?\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -500*f**2 + 4076100*f - 8307295605.\nAnswer: -5*(10*f - 40761)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.5, 1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176\/(4 - (-78)\/(-24)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 27*l\/5 - 152\/5.\nAnswer: -(l - 19)*(l - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 592366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/186 and 169\/5550?\nAnswer: 172050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.158419 to three decimal places.\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.33 - -1.33. What is the fourth smallest value in 1\/2, -17, -0.3, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 268359832*i**4 - 248810082.\nAnswer: 1073439328*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-640)*8*5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 15*g**3 - 17*g**3 - 20 - 2*g**2 in the form k*g + s*g**3 + p*g**2 + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -0.1411719568742.\nAnswer: -0.0911719568742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -13\/404, 0.1, 2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 4. Let y be q(5). Let n(s) = -s**3 - 2*s**2 - 5*s - 1. Let w be n(-4). What is the tens digit of (2\/6)\/(y\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c - 381. Let n(m) = -5*m + 190. Calculate 7*n(b) + 3*r(b).\nAnswer: b + 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxaahhhax. What is prob of picking 1 h and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -3*t**2 + 7. Let p be q(5). Let l = p - -37. What is the remainder when 15 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 3. Suppose -2*t = v*b - 64, 3*b - 93 = 4*t - 5. Let g = b + -9. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/5 - 249\/5. Let x be (-96 + 0)*9\/18. Let z = x - r. Solve -v + 3*v = p - z, 5*v + 3 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-3 - 2)) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4355 - -1450. Find the common denominator of ((-4)\/(-10))\/((-56)\/i) and (-27)\/4 + 3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uppppupppuupuppppppp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*j + 14 = -174*j - 4*n, -4*j = -4*n - 20 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 17 = 2*t + 7, -t - 102 = -25*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 743424\/7*f + 1119360\/7*f**2 + 9\/7*f**4 - 906*f**3.\nAnswer: 3*f*(f - 352)**2*(3*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 13*n. Suppose -5*i + 669 = 3*t, n = 4*t + 5*i - 77 - 815. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72395553 divided by -5\nAnswer: 72395553\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 457 - 162 = 0. Let u = j - 16. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 65.77?\nAnswer: -32.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -562 - -589. What is the closest to g in 3, -18, -1\/4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 79*y + 57. Let p(t) = 1. Let j(k) = -3*p(k) - z(k). Differentiate j(i) wrt i.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 10684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 - 1125?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892787 + 6787154 = 47*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -848 + 850. Suppose 1 = -24*b + 25*b - 5*u, d*b - 5*u - 27 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311166?\nAnswer: 2, 3, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213272*w - 213161*w - 6105 = 0 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d**3 - 6*d**2 - 11. Let h(l) = -22*l**3 - 12*l**2 - 24. Let w(o) = -4*h(o) + 9*m(o). Let n(a) = -2*a**3 - 6*a**2 - 2. Give 3*n(j) - 2*w(j).\nAnswer: -2*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 u when three letters picked without replacement from {u: 3, b: 3, r: 1, t: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**7\/840 - r**6\/360 + r**5\/120 + r**4\/4 + r**3\/6 + 2*r. Let o(k) be the second derivative of v(k). Give o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/81 and -26\/4779?\nAnswer: 4779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-25))\/((-3)\/(-15)). Suppose -l = -5*m + 5*u + 19, -3*m = -2*u - 11. Suppose -5 - m = 4*p - 2*y, 0 = -2*p - y + 3. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16340934 and 41376.\nAnswer: 261454944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.096*4\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 445\/3 + -149. Let v = 2 + 1. What is the second biggest value in t, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411099 is divided by 203460.\nAnswer: 4179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 31*j**2 + 101*j - 14. Let l be y(-34). Which is smaller: 13 or l?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1116 by 93.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 61 = -5*i, 2*i - 7*i - 3*g = -59. Suppose 4*r = i + 43. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/120 and -5\/52343292.\nAnswer: 523432920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1043504, -2086974, -3130444, -4173914?\n\"Answer: -1043470*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-134)*((-4148)\/793)\/(-34)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from rororrrrrorrrrr?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9 + j**3 - 2*j**3 - j + 11*j**2 - 3*j. Suppose n = 5*s + 35, 5*n + 2*s + 10 - 50 = 0. Is g(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/7 - 24*i\/7 - 40\/7 = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599 is divided by 178?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44080.\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -4*k - 3*w, 0 = 4*k - w - 36. Solve -k*r = -11 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150873 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511, 1319, 2665, 4549, 6971?\nAnswer: 9931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 + 287\/(-28). Let r(a) = 3*a**2 - 4*a - 26. Let i be r(6). Is 10 a factor of h\/1*(i\/(-4) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o. Suppose o = 2*m - 0*m. Suppose m = -2*t - 4*b + 86, 0 = -0*t - 4*t - 3*b + 187. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100958378*s**2 - 215714*s + 713 wrt s.\nAnswer: -201916756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:40 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 150002320 to the nearest one hundred thousand.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 236138967 + 94584.4\nAnswer: 236233551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2648 - y + y - y**2 + 2647 + 203*y**2.\nAnswer: 202*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 142*s**2 - 270*s - 1226. Give y(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 k when four letters picked without replacement from wkwwtiwqq.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1309 + -876. Calculate the remainder when d is divided by 141.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4761600 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80475735?\nAnswer: 3, 5, 19, 23, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4032 + 3983 + (-3 - -39) + (-3 - -2 - 116).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - (-2 - (0 - -1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 220 = 0. Suppose -g + 3*g + 3*m = 32, -3*g - 5*m = -46. What is the highest common factor of x and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14\/9)*(g*g**7)\/g*g\/(g\/((g\/g**7)\/g))*g*g**18)**(-2\/7) assuming g is positive.\nAnswer: g**(-314\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 77*g**2 - 44*g + 91. Determine n(0).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50241 or 50211?\nAnswer: 50211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 34 = -3*j. Let n be 1 + 2 + -1 + -50. Let r be -1 + 3\/n*-4. Which is the smallest value? (a) -4 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(1 + -1 + 0). Let o = 10 - 8. Find z, given that -1\/3*z**4 + i + 1\/3*z**o + 0*z - 1\/3*z**5 + 1\/3*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 2.17\nAnswer: 0.2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**3 - 122*r**2 + 74*r - 18. Give o(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 6.7 (c) -2\/19 (d) 1\/2 (e) 0.112 (f) -3\/8 (g) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1237 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559.2139 minutes to nanoseconds.\nAnswer: 33552834000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3\/2 + 3*f**2 + 12*f = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1681 + -1086. Suppose -4*g + 0*o = 4*o - 2400, 4*o + q = g. What are the prime factors of g?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 34 - 4*x**3 + 13 + 8 + 12 to the form f*x**3 + w*x**2 + z + d*x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 6 = -4*d. Let p be ((-3)\/(-4))\/(d\/(-16)). Let j(y) = 2*y**2 - 10*y - 7. Let a be j(p). Solve a = i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, 171, 289, 413, 543, 679?\n\"Answer: 3*c**2 + 103*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137865 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: Suppose 0 = -2*z - 5*a + 12 - 2, -2*a - 20 = -4*z. Is 0 + z - -1*(2 - -301) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 44*x**2 - 220*x - 11283. What is l(-43)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3. Let u(n) = 16. Let k(h) = 11*l(h) + 2*u(h). Let s(t) = 2*t + 9. Suppose 0 = -5*i + 5*d - 25, 7*d - 15 = 2*i + 10*d. Determine i*k(f) - s(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzrrrrrrzrrzzr. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 56?\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m - 1 - 33*m**3 + m**2 + 3 + 15*m**4 + 28*m**2 + 0. Let q(z) = -z**4 + z**3 - z. Let a(i) = -6*q(i) - u(i). Determine j so that a(j) = 0.\nAnswer: 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/4 - 2*t**3 - 3*t**2\/2 - 3*t + 26. Suppose -2 = u + 3. Give v(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-10) - -1) + (-13)\/26?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + (-1 + 0 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 30 + 4 = -t, -3*s - 89 = -4*t. Suppose -4*r - 61 + 14 = -5*b, 3*r + t = 2*b. Solve -3*c - 4*j - b = -17, -4*c = 3*j - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.67 to 0 dps.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18\/9029 - -72713\/31944602. Let j = -171591\/7076 - y. What is the common denominator of j and 65\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-435))\/((24\/(-20))\/(-3))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19916561.374999674 + 19916544.075. Let o = -17.3 - r. Round o to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1179*w - 563*w - 11168 + 12246 wrt w?\nAnswer: -1742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 44*v + 605 = 0.\nAnswer: -11, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -73. Suppose k - 3*r = 19 - 0, 0 = -2*k - z*r + 56. Calculate the remainder when 240 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2285816 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100000011001 (base 2) to base 11.\nAnswer: -49967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - d. Let i be k(-2). Suppose 4821 = 10*f + 4801. Let t be 8\/(i - 2)*f. Sort -1, t, -5 in ascending order.\nAnswer: -5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 4, -4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**2 - 6*a. Let n(d) = -d**2 - d. Let u(i) = k(i) - 6*n(i). Let v(t) = 6*t - 5*t - 2*t. Determine u(v(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-180))\/(210\/(-350))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1, 5*r + 3*j - 14 = -j. Let p be 3\/((-15)\/(-2)) - 0. Solve 7\/5*d**4 + 27\/5*d**r - 23\/5*d**3 - 13\/5*d + p = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxexfxfe. Give prob of picking 2 x, 1 e, and 1 f.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*h = 3, -h = 4*m - 2*h - 12. What is the tens digit of m\/2*576\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/32)\/(37359\/4744)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 580290, 580229, 580168, 580107, 580046, 579985?\n\"Answer: -61*r + 580351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 30 = 4*u. Suppose 5*x - 26 = -u. Let b(g) = -g**2 - 4*g + 1. Let l be b(-4). Solve 7 + l = x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 3, -10, -39 in decreasing order.\nAnswer: 4, 3, 0, -1, -10, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 12*p + 172, 761 - 754 = -p + 2*j - 4*j for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 252 = -2*a, 4*a - 9*a = 0. Let x be (-38373)\/t + (-38)\/399. What is the greatest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 17 = 2*w. Let r = -178 - -177. Let a(l) = -6*l**3 - 2*l**2 + 2. What is the remainder when w is divided by a(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-10))\/((-24)\/(-2512))*-5. Let k = a + -169. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 177 + 11*y**3 + 139 - 416 + y.\nAnswer: 11*y**3 + y + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -0.5, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110000000100010 + -110100?\nAnswer: -1101110000001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1839+41.13\nAnswer: -1797.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 10. Let o(v) = -v**2 - 8*v - 14. Let z be o(-6). What is the smallest value in -1, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355939.7ml to litres.\nAnswer: 355.9397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009681.\nAnswer: 79, 25439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*x + 6*x - 31, -3 = 3*x. Suppose 5*a - 11 = -4*g, -g + 3 = -a + f. Solve 0*r = a*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*y + 39. Which is bigger: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 87 = 0. Suppose 4*w = 0, w - j = -l + 3. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 430 = 129. Let s be (-1)\/(-1)*(1 - 0). Suppose -a - m = 3*q, 0*a - s = a. Round q to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Suppose 0 = 2*c + 3*r + 2*r - 35, 0 = 3*r + 3. Suppose -x - 7*i + 3*i + 16 = 0, x - c = -5*i. Solve x*d - 12 = -s*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1825135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2))\/((-5)\/265). What is the units digit of (-12)\/(-54) + x\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119902309 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 260*k + 357. Calculate p(-2).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1223 - -1156 - (-3 + -2 + 0 + 12).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 13*j + 10. Let g be x(-10). Let w be (10\/12)\/(g\/24). Let o = 158 - 1104\/7. What is the closest to w in 0.4, o, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*b - 8, -2*i - 43 = -7*i - b. Let l(m) = -74426*m - 74448*m + 148891*m - 2*m**2 + 5 + 9. Calculate l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*w**5 - 235882*w**3 - 6*w**2 + 4509*w - 645 wrt w.\nAnswer: 4740*w**2 - 1415292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5421.401 litres to millilitres.\nAnswer: 5421401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6798939494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2743175763 to the nearest integer?\nAnswer: 52375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 332*r - 37 + 317*r + 329*r - 997*r - 25. Determine y(-18).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -560 + 564. What is the third biggest value in o, 0.5, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-6)\/(-1)) + (5 - 1). Let z be (7\/1*30\/42)\/g. Let y = 18 + -11. Solve -5*r = -z*i + 5, 2*r = i - y + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z - 9. Let d(q) = 4*q - 2. Let n = -71 - -45. Give n*d(g) + 6*h(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6, -4*l - 2*r = -3*r - 3217. List the prime factors of l.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21851 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 165139098*s**2 - 2 + 2 - 165139101*s**2. Let b(l) = -8*l - 2*l - 9*l. What is b(q(t))?\nAnswer: 57*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 k, and 1 u when four letters picked without replacement from {u: 1, i: 2, y: 6, r: 2, w: 4, k: 3}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**2 + 9*r - 9*r + 13*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2*1) + 3. Let s(w) be the first derivative of w + 1\/2*w**2 + 240. Give s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(120)\/sqrt(6))\/sqrt(4))*-1)**2 + -1.\nAnswer: 8*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3) + -1)*5)**2.\nAnswer: 50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2667)\/27 + 64\/576. Let m = b + 919\/6. Factor 2*j + 63*j**4 + 49\/2*j**5 + m*j**3 + 18*j**2 + 0.\nAnswer: j*(j + 1)**2*(7*j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 23. Let q be p(8). Find the common denominator of 89\/4 and q\/(4*35\/65).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 2*o + 100991. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2272644 (base 11) in base 5?\nAnswer: -2004034042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-six ninths of a hour?\nAnswer: 30400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let s(a) = a + 1. Let l(g) = -n(g) - 5*s(g). Let q(h) = -3*h. Let v be q(2). Is 13 a factor of l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.45 and -0.52.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 5, e: 1, j: 2}. What is prob of sequence jejy?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/3360 - s**5\/40 - 5*s**4\/24 - 5*s**2. Let g(t) be the second derivative of r(t). What is the derivative of g(y) wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-4\/19)*c*c*c**25)**(-38) assuming c is positive.\nAnswer: c**(-1094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-33*w**2 - 3*w**2 + 7*w**2).\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8011*q = 8017*q - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 78. Which is the biggest value? (a) 2\/15 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13722.\nAnswer: 2, 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*l + 72, 2*q = 4*l - 35 - 33. Is l > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -14. Suppose -2*i = -5*l + 21, -5*l - 14 = y*i - 43. What is the fourth biggest value in 0.4, -1, l, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097628 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14693*g - 58855. Give x(4).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/2)\/1 + (-656828)\/(-248)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 - -283. What is the second biggest value in l, 1\/10, -2\/73, -5\/2?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = 0, -7*p + 488 = -2*p + r. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 168*z**5\/5 - z**3\/2 + 63*z**2 - 414*z. Find the second derivative of u(w) wrt w.\nAnswer: 4032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59.89? (a) -4\/7 (b) -5 (c) 5 (d) 0.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-3) + -91 + 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3275\/786)\/((10\/(-24))\/(-5))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Let o = -6 + n. Let u be 2\/o*0\/3. Sort -4, 3, u in increasing order.\nAnswer: -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*c + 137 = -248*c + 1737 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27824 - -27952.905. What is c rounded to zero dps?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2172, -2183, -2202, -2229, -2264, -2307?\n\"Answer: -4*s**2 + s - 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 1426. Determine d(57).\nAnswer: -1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 7*g. Let x be n(-6). Suppose 2*p = -p + x. Suppose 5*v - p = -16. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 52. Solve -3*b - 3*m + 5 = 26, -2*b - w*m = 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(170) - 2*sqrt(170))*-3 - sqrt(170))\/(sqrt(1210)*1))**2 + 1.\nAnswer: -20*sqrt(17)\/11 + 3214\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -414217 * -240.\nAnswer: 99412080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/(-12) - -4) + -7. Suppose 2 + 2*h**3 - 2*h - g*h**2 - 1\/2*h**4 = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -249 and 1929 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*v**(1\/9))\/(v**(2\/13)*v)*(v*v\/(v\/v**1))\/v**(1\/7) assuming v is positive.\nAnswer: v**(3943\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 6:50 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35*6\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 112*o + 426. Let f be k(-7). Which is bigger: f or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a week in seconds?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l*l\/(l**(-8)*l)*l*l*l)\/l)\/l)\/l)\/(l*l*l\/(l**(-2\/5)*l)) assuming l is positive.\nAnswer: l**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1064\/16)\/(-19)*12\/(-35). Find b such that 4\/5 + 2\/5*b**2 + t*b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 2*u + 3*u + (-u - 2*u + 5*u)*(-1 - 3 + 2).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/21*w**7 + 0*w**5 - 5\/6*w**4 + w + 0*w**2 + 0*w**3 - 7\/30*w**6 - 4. What is the third derivative of g(m) wrt m?\nAnswer: -120*m**2 - 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124877\/811716510 - -1\/131070. Let b = p - -222931\/105281. Let z = b + -184\/119. What is the common denominator of z and 71\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-29\/3)\/o)\/o*o**(-16) assuming o is positive.\nAnswer: o**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -769d9 (base 15) to base 4.\nAnswer: -1130000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2659, 5306, 7955, 10606, 13259, 15914, 18571?\n\"Answer: s**2 + 2644*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26087426 times 2\nAnswer: 52174852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265242, -265252, -265262, -265272?\nAnswer: -265282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/150 - 4*g**5\/25 - 9*g**4\/10 + 16*g**3\/3 + 2317*g**2. What is c in l(c) = 0?\nAnswer: -8, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.5. Let j = 462880.700003 + -462881. Let f = y - j. Round f to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90230.3 to the nearest one thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 - -4210?\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.5, -0.3, 3, -5, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (2*sqrt(3648) - sqrt(57))\/(4*(sqrt(3) + sqrt(9)\/sqrt(3) + sqrt(3))))*-2*-1.\nAnswer: -2 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, s: 1, j: 2, g: 4}. Give prob of picking 1 a, 1 s, and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 - (4 - 14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*i - 2 - 1 = 0, -5*i = 5. Suppose -3*v - g*v = -5. Suppose -24 = -5*x - 7*x. What is the remainder when x is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963560927 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -1 (c) 18 (d) -3 (e) -0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1026 + 768 = 0. Which is smaller: s or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*c - 4*v + 13, 0 = 2*c - 5*v + 15. Suppose -c*m = -2*m. Solve 5*t + m = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/108 + 2\/(-4). Put g, -1\/7, 2 in increasing order.\nAnswer: -1\/7, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23*p + 8. Let o(v) = 8*v + 3. Suppose 38*j - 66 = -4*d + 39*j, 0 = d - 2*j - 13. Determine d*o(g) - 6*w(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001911817 rounded to six decimal places?\nAnswer: -0.001912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*k - 3401*k - 395808 for k.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*1)\/1 + -15 + -8. Let l = 27 + i. Let q(u) = u**2 - 4*u + 3. Give q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-1 - (-21)\/9). Suppose l = -l + r. Let p be (0\/2)\/(-1 - l). Sort p, -1, 2 in decreasing order.\nAnswer: 2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385+918.99\nAnswer: 533.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -208, -208, -198, -172, -124, -48, 62?\n\"Answer: k**3 - k**2 - 4*k - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k. Let g(o) = -1983*o**2. Calculate g(z(b)).\nAnswer: -874503*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -13*g**5\/60 - g**4\/24 - 2*g**3\/3 - 7*g**2. Let b(u) = 3*u**2 + 1. Determine 9*b(y) + 2*q(y).\nAnswer: y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 221917896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185 and 30?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 1. Let z(p) = 32*p - 28. Let v(q) = -56*y(q) + 2*z(q). Let k be (1 - 2) + (-9)\/(-3). What is the units digit of v(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 10. Let t(y) = -4*y - 14. Let r(i) = 7*m(i) + 5*t(i). Suppose -6 = -5*x - 5*z - 16, -z + 28 = -5*x. Let a(n) = -7*n - 1. What is x*r(b) - a(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713657064 and 736.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3954222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 - 102. Let w(t) = t**2 - 5*t + 3. Let i be w(5). Sort -4, r, i, -1 in descending order.\nAnswer: i, r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-140) - (-2108)\/1085)\/(4\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 261537*x**2.\nAnswer: -x**2*(x - 261537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 - 3 - (-35 - -35))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402965143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2988 + 2991. Sort 2, -3, -2, u, -1306 in descending order.\nAnswer: u, 2, -2, -3, -1306","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 33*p - 95. Let c be s(3). Solve -c*d = -0*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23752438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*p + 12 = -4, 5*a + 3*p - 24 = 0. What is the first derivative of -13*r**2 + 4 + 13*r + 21*r**2 + 4*r - a*r**2 wrt r?\nAnswer: 4*r + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 136 = -35*o, 33 = -4*o + 2*k + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -0.3 (c) -234 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and -191096.\nAnswer: -191095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14037*s + 40784*s - 14968*s - 14410*s)*(7 - 1 - 3) to the form q*s + h and give q.\nAnswer: -7893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 1. Let g be x(-1). Suppose 4*a - 145 = 183. Suppose 0 = 3*k + 5*z - g*z - a, -2*z = -k + 31. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-425)\/30 - 3\/(-18))*(-4)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -23. What is the highest common divisor of 26 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1000704573 and 18117?\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2386)\/14 + (-24)\/42. Let x = 292 + k. Suppose -p + 5*l = -x, -l - 95 - 22 = -p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27290 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 15*a**2 + 14*a + 14. List the prime factors of w(-8).\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 142, 92, -350, -1382, -3202, -6008, -9998?\n\"Answer: -33*d**3 + 2*d**2 + 175*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.03 (c) 5 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36765.\nAnswer: 3, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Find the common denominator of (-4 + 3)\/a - 30 and -1\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21003130 (base 4) to base 14.\nAnswer: -d72c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((26*28\/(-1092))\/(316\/(-6)))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -204. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0157 - 0.9843. Let o = 0.5 + -1.9. Let c = 2.1 + o. Put 2, c, g in decreasing order.\nAnswer: 2, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - -1*20 - 0. Let o = x + -18. Suppose 95 = o*p + 355. Sort 5, p, 0 in ascending order.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5526 - 5530. Which is the closest to 0.4? (a) p (b) 5 (c) 1\/5 (d) 3\/76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -526, -518, -508, -496, -482, -466?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*u - 8061 + 2886 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 + 3*u - 19. Let n be c(5). Let l = 79 + n. Solve l*x = 4*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4*12)\/(-1 + 0). Calculate the lowest common multiple of 40 and (-4 - j)\/((-5)\/(-25)).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48712 divided by -4\nAnswer: 12178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*g = 5*g - 17, -o - 9 = -2*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-33)\/22 + (-262)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-1680)\/(-843) - 2)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffefee. What is prob of picking 1 e and 1 f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocur when four letters picked without replacement from czuuuoucr.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -51. Let b be (-11)\/(-132)*(-16)\/s. What is the third smallest value in -1, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 899729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 179*c + 2035. Determine y(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p - 10 = 0. Let l be p\/(-3) + 2\/(-3). Let u = l - -5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18520 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1896*0.0478\nAnswer: 0.00906288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -3c?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {v: 1, x: 3, h: 3, q: 1, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 15*x + 9. Calculate y(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujjsgqsxsu. Give prob of sequence uqxg.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/308 and 99\/2170?\nAnswer: 47740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65015\/4 - 16247. Let j be -1 - ((-2)\/1 + 1). Suppose 81\/2*k**3 + 3\/8*k + z*k**2 + j + 81*k**4 = 0. Calculate k.\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (44\/(-12) - -4)*0. Let o be 125\/(-25)*(-10)\/175. What is the closest to -1 in 0.3, z, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {m: 2, d: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 9*v - 10*v - 28 = 0, o + 0*o + 296*v - 4 = 298*v + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1. Let t be -4 - 7\/(14\/(-16)). Suppose -5*w - 16 = -3*v, -2*w - 7*v + 3*v + t = 0. Determine u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 192*f + 2 + 6.\nAnswer: 192*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-15))\/(-2)*27. Let c = -34.5 + 35. Let g = 5.6 - 6. What is the third smallest value in v, g, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420544992 = -5*j - 0*p + p, -5*j - p - 420545008 = 0. Round j to the nearest one million.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91857011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-24)*3)\/(1\/6*-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 2 = 3*a + 4*u, 5*u - 1 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -19*x + 20*x + d, -x - 3*d = 8. Which is the closest to -37? (a) 0.1 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -15. Let i(p) = p**2 - p - 7. Let h be i(0). Let m = q - h. Solve m*d = 6 + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -855600 divided by -4278.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 7*k + 1. Let m be o(-7). Let d = m - -1. Solve -2*q = d - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9008664 by 56.\nAnswer: 160869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 35 + (1 - (-1 + -4)) + -6 + -42.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.053058.\nAnswer: 3.946942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let d(b) = 2*b**2 - 3*b + 6. Determine d(i) - 4*q(i).\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/5 (b) -3\/4 (c) -10 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/600 - x**5\/50 - 3*x**4\/40 - 2*x**3\/15 + 9*x**2. Determine f so that q(f) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 11*u**3\/2 - 41*u**2\/2 - 40*u - 26. Let i(z) be the first derivative of p(z). Differentiate i(k) with respect to k.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:09 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from cpuppppcpuvuuuupcvj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/953 - 20924\/20013. Let m(o) = 2*o**2 + 328*o - 6156. Let g be m(17). Is d greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 78, 4, 75?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let r = 7 + -5. What is the third derivative of h**2 - h**k + h**r + h**4 wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27918096853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -554572 or -554571?\nAnswer: -554571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(28\/15)*80\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 2. Let x be o(-1). Suppose 0 = x*y - 8*y + 444. Suppose y = 5*k - 274. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2075220*v**3 - 114*v**2 + 7953*v.\nAnswer: -12451320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(363)*1*4 - 3*sqrt(363)*1 - (1 + sqrt(363) + -5)*-2))**2.\nAnswer: -171072*sqrt(3) + 1079244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -35717\nAnswer: -107151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8199 and 3483.\nAnswer: 3173013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.0068.\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 350, -7, -1 in decreasing order.\nAnswer: 350, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -10, -18?\n\"Answer: -8*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*m**5 - 4523*m**2 - m + 181613 wrt m?\nAnswer: -4220*m**3 - 9046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 11\/2 (c) 23 (d) 4\/39 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2155*m**3 + 156*m**3 + 5*m + 27*m**3 - 15*m**2 + 90 - 2*m. Let a be b(-13). What is a rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 60173.\nAnswer: 60173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 - 101 = 9*s. Calculate the remainder when (-22)\/(-165) - 652\/s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 1 + 2*b**3 + 5 - 3 + 1. Let z be l(2). Let x(q) = -q**2 + 6*q + 10. What is x(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4 and -1\/7208.\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1456459627 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394318315?\nAnswer: 5, 13, 2633, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3)*1*-1. Suppose -4*c + 41 = -m, z*m + 3*m = -3*c + 12. Suppose 0 = -3*i + c + 15. Solve 3*d + 2 - i = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 71*b**3 - 1059*b**2 - 134*b + 657. Determine n(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 15047.\nAnswer: 120376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 18 - ((11 - 18) + -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62424 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 1 + 1 + 3*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 + 1.7. Which is smaller: m or 2\/23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*k**2 - 314 + 314.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40868869709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -1301962\nAnswer: -27\/650981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2. Let t = 151 - 149. Let k(g) = -32*g**2 + 10*g**t - 12*g**2 + 2*g**2. Calculate k(f(j)).\nAnswer: -288*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 n when four letters picked without replacement from qnqqqqnqqqqqqnq.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q*t**2 - 47*q*t + 2*q - 169398*t**2 + 3*t + 208 wrt t?\nAnswer: 2*q - 338796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -2300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3862*u + 14148. Let z be b(-26). Round z to the nearest one thousand.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, x: 3, h: 7}. What is prob of sequence hxq?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195226576891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-5)*75\/(-45). Is l greater than -105\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 236. Let y be (-14 + 6)\/(-2 - (-5 - -5)). Put v, y, 1, 5 in descending order.\nAnswer: v, 5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 213 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*q - 196*q + 101 + 137 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2029251 divided by 676417.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (9 + 2 - 3 - 3) + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/3 (c) -2\/67 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by ((-112)\/(-64))\/(3 - (-526)\/(-176)).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -170 and 0.08?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -56.2. Sort a, -0.4, -0.2, 2 in descending order.\nAnswer: 2, a, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 28*i + 120. Solve 13*m + 45 + i = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(26)\/sqrt(2) - (2 + sqrt(13)*-2)) + ((sqrt(637) - (sqrt(637) + -1 + sqrt(637))*-5 - sqrt(637)) + 5)**2.\nAnswer: 3*sqrt(13) + 63691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4 = -n, 0 = 3*z + 16*n - 11*n - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -612.778 and 0.0646114?\nAnswer: 612.8426114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 673232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 1, g: 3, q: 1, e: 2, b: 1}. What is prob of picking 2 g and 2 f?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 2*t = -35. Suppose t*h = -5 + 15. Is 1505 + ((-30)\/5)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -819429 greater than -819431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + -2 + -1 + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 7, x: 2, s: 1, v: 1, z: 4}. Give prob of sequence bw.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/7 - 3580*m + 11214350 = 0 for m.\nAnswer: 6265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 2\/13 (c) 1 (d) -9833 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 19*i = 22*i + 211, -t = -5*i + 60. Is -107 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38077 divided by 29.\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, u: 6}. Give prob of picking 3 a and 1 u.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1558.1272053 + 1559.2772. Let s = -3.1 - -1.95. Let h = m + s. What is h rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 10*k - 9. Let v be d(6). Is 4 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(36\/(-34)) - -6. Which is the biggest value? (a) -26 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**3 + 21*p**2 + 9*p - 17. Suppose -75*t - 259 - 191 = 0. Let q(x) = 3*x**3 - 10*x**2 - 4*x + 8. What is t*k(a) - 13*q(a)?\nAnswer: -3*a**3 + 4*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 48860 = 2*h, 2*x - 49*h = -46*h + 48862. List the prime factors of x.\nAnswer: 2, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188636194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2863 times -139052?\nAnswer: 398105876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.8396us to nanoseconds.\nAnswer: 5839.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 0, 3*r - 19 = -35*g + 33*g. Suppose -2*n = -0*n - 14. Find the third derivative of x + n*x**6 - x**6 - x + 11*x**g wrt x.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 230788.\nAnswer: 461576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/1)\/(17*32\/272).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0144 and -3888.\nAnswer: 55.9872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/((-52560)\/72))\/(1\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 243 (b) 4 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115537 and 3038.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -620, -624, -628, -632, -636, -640?\n\"Answer: -4*b - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - -0.012. Let b = w - 0.162. What is the closest to -2\/17 in b, 3\/8, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 32217369?\nAnswer: 515477904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 11*s**2 - 11*s - 2. Suppose u + 7*u = 72. Is v(u) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 2*p + 0*p + (p - 2*p - 3*p)*(-1 + 5 - 3) - 25*p - 2 - 11*p + 14*p.\nAnswer: -28*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1597 < -1597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) -2.08 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(2 + (-28)\/20). Let w = r + -33. Solve -w*x + x + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2328*y**4 - 1162*y + 477*y**6 + 2*y**2 + 500*y**6 - 978*y**6 wrt y.\nAnswer: -120*y**3 + 55872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 122*x - 77. Let d(p) = -70*p + 44. Let o(i) = 4*c(i) + 7*d(i). Let u(n) = -20*n + 148. Determine o(u(b)).\nAnswer: 40*b - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*j + 2*l + 25, 5*j + 3*l + 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 8*j - 1. Let p be n(2). Suppose 0 = -g + r, p*r + 2 = g + 10. Solve -d - 20 = -g*f, -6*f + 3*f - 2*d = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -2*n + 2, 4*z + 1320 = 12*n + 1292 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 3*v**2\/2 - 4065. Let g(t) be the first derivative of -7*t**3\/3 + 1. What is j(g(h))?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + h - 5. Let y be q(9). Let l = y + -8. Let f(g) = 2252*g + 8. Let j be f(l). Round j to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15 - 12081)\/((-2)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290905739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3 - 16*v**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x + 146. Let j be l(-14). Let a be (j\/(-36))\/((-5)\/60). Solve -6*z = -a*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 4*v = 16, 2*v = 4*k - 14. Solve -6 - 12 = k*u + 2*o, -3*u + 5*o + 13 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.4. Let n = 8 - 6. Let u be n\/(-10) - 4\/20. Which is the second smallest value? (a) -0.3 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30456 and 137240?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97271 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 259400*x**2 + 13480688*x - 175213792 = 0. What is x?\nAnswer: 26, 64798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 26. Give x(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*(((((r\/(r**(-7)\/r))\/r)\/r)\/r)\/r*r*r)\/r*r)\/r)*r)\/r*r**7)**42 assuming r is positive.\nAnswer: r**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 24. Suppose 4*k = t*k + 3*a + 3310, 5*k - 3*a - 16514 = 0. Suppose 0 = 5*x - 4*i - 8287, 0*i = -2*x - 3*i + k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -663, -1169, -2141, -3735, -6107, -9413, -13809?\nAnswer: -19451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3252, 3290, 3328, 3366?\n\"Answer: 38*m + 3214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + (508\/12 - 4). Let x = 75 - f. Suppose -c + 53 = -x. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 117, -102, -461, -960, -1599?\n\"Answer: -70*y**2 - 9*y + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2690 or 3851?\nAnswer: 2690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 66*z + 1214. Let n be m(15). Does n = -25\/514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 2*b - 4. Let f be j(-4). Suppose 3*w - 46 = -0*w + 2*p, -5*w + 66 = 2*p. What is the remainder when ((-4)\/f)\/(2\/246) is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48299064 divided by 8?\nAnswer: 6037383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124 and 620?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87270 rounded to the nearest 1000?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykky when four letters picked without replacement from {y: 3, k: 9}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/9 + -10\/9. Let t(r) be the third derivative of -r**5\/60 + r**4\/24 - r**3\/6 + 2*r**2. Let p be t(0). Which is the closest to p? (a) g (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -3 + 16*j + 1\/2*j**4 + 12*j**2 + 4*j**3. Let q(c) = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (1836\/17)\/(-12) + 2757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79 plus 0.9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a + 90 = 89*a. Solve -u = 4*s + 4 + 3, a*s + 4*u = 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/126)\/(87\/(-261)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24055 + 72307?\nAnswer: 46232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299\/84 + -67\/21. Find the common denominator of k and 27\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 676*u. Let n(j) = -j**2. What is s(n(p))?\nAnswer: -676*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from htrgq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -1142, -3349, -7556, -14429, -24634, -38837, -57704?\nAnswer: -81901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 27*w**2 - 11*w**2 + 2*w**2 as a*w**2 + h*w + u and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrrr when four letters picked without replacement from {t: 6, l: 1, j: 2, r: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 1.4. Let s = 22 - 19. Which is the biggest value? (a) f (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + (9 - -2) - (-19 - (4 + -12))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 156\/(-2576) + (-4)\/(-7). Let f = 767\/322 + l. What is the common denominator of 109\/36 and f?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*s + 3*s = 16, -2*f - 2*s + 8 = 0. Let h be ((-5)\/(-10))\/(3 - 17\/6). Suppose h*j + 2*j = 70. What is the remainder when j is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*o - o - o + 3*o + (0 - 4 + 3)*(-3*o - 3*o + 4*o) - 7*o + o + 4*o)*(5 - 15 - 35) to the form a + p*o and give p.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5363 + -5145. Calculate the remainder when k is divided by 105.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-5)\/10) + (-26)\/(-4). Solve p*h - 18 = 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -39 - (-1 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 345416252797+0\nAnswer: 345416252797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0.2, 0, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27541 (base 12) to base 13\nAnswer: -1b96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-8) - 2\/(-4)) + -1. Suppose 3*s + 15 + i = 0, -s + 16395 = -2*t. What is t rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 12:01 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 1\/30*o**5 + 0*o**4 + 0*o - o**2 + 0 - 1\/3*o**3. Factor g(t).\nAnswer: 2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 1, -5 in increasing order.\nAnswer: -104, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -14.1. Let v = 230 + -216.3. Let a = t - v. What is the closest to 2 in a, 0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*-2*sqrt(121))\/sqrt(11) + -4)**2*5.\nAnswer: 480*sqrt(11) + 3700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-96))\/(110\/(-132)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59430 or -118861\/2?\nAnswer: -59430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -21. Suppose 0 = -0*o + 3*o - k. What is the lowest common multiple of o and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129.82*-78.\nAnswer: 10125.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*z - 4*q, 2*q + 16 + 52 = 5*z. Let p(m) = -z*m - 2*m + 5*m - m**2 - 6 + 0*m. Does 5 divide p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 12*h**2 + 2*h + 13. Let j be f(6). Suppose 13*q - j*q = -3120. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 6*z**2 - 5*z - 18. What is the remainder when x(-6) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = 0, -3*d + 0*u + 5303 = u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*u = 2*u - 98, 0 = z - 4*u - 6. Is (-4)\/z - (-11323)\/143 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6992*l**2*m*p**3 + l**2*p**3 + 88*l**2*p**2 - 2*l**2*p + 6*l*m*p**2 - 2*m*p wrt p.\nAnswer: -41952*l**2*m + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6430, 6437, 6444, 6451?\nAnswer: 6458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1463.07 - 1463. Let p = 20 + -17. What is the closest to -1 in p, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 2*r**3 - 3*r**3 + 4*r**3 + 3*r**3 - 5*r**3 + (r + 2*r - r)*(r + 2*r**2 - r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664451 is divided by 23729.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13618938786 + 1.9\nAnswer: -13618938784.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*c + 2*r, 5*c = 4*r - 0*r - 18. Let j(t) = 4*t**2 + 9*t - 3. What is the units digit of j(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 59?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3260)\/8*1\/5. Let d = n + 79. Let h = 0.02 - 3.02. Which is the nearest to -1? (a) -2\/3 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.14, 1, 0.029, 3\/5, 1\/8, 3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -84. Let l(u) = 3*u - 13*u - u**t + 8*u + 7*u**2 + 4. Determine l(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5 + 9*l**4 - 3*l**3 - 9*l**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204 + 322223?\nAnswer: 322431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 921128 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.72888722 rounded to three decimal places?\nAnswer: -22.729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 34 = 30. Suppose m*y + 4*c + c = 249, 2*c - 10 = 0. Which is smaller: 58 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/24 + o**5\/60 + o**4\/12 + o**3\/6 + o**2. Let d be -3*3\/((-9)\/(-8)). Let b = -9 - d. What is w(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2708 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 4*h + 66 = 15*h. Put h, -1, 5, 159 in decreasing order.\nAnswer: 159, 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 8. Let s be m(6). Let n = -58 - -110. Let y = 55 - n. Solve y*g = 13 - s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 24045.3.\nAnswer: 216407.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 2*q + 2. Let z(y) = -6*y**2 - 36*y - 56. Let x(l) = 2*n(l) - z(l). Factor x(h).\nAnswer: 4*(h + 3)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4))**(1\/78)*((r**1*r)\/r)**(-1\/40) assuming r is positive.\nAnswer: r**(-17\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 573*u**2 + 1474*u + 15322. Calculate g(-284).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)*(7 + -2). Suppose -r + 32 - 11 = -4*v, -33 = -n*r + 2*v. Suppose 2 + 0 = -2*d, r*m - 9 = 4*d. Is m smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 48 = 54. Calculate the remainder when i is divided by (36\/(-8))\/((-1)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 3*d**3 + 54*d**2 + d**3 - 33 + 0.\nAnswer: d**3 + 54*d**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let f be c(-10). Let w(r) = -6*r + 4*r**2 - 3*r**2 + r - 4*r + 4. Let q be w(f). Solve 3*z + 4 = -q*x - 4, 0 = z - 4*x - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 2910, 6585, 11686, 18189, 26070?\nAnswer: 35305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73727020?\nAnswer: 2, 5, 41, 47, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3151?\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 160 + 880*k + 58*k**3 - 440*k - 440*k wrt k?\nAnswer: 174*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25267, -3, -8 in increasing order.\nAnswer: -25267, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/61, 1\/11, -4\/5, 147, -3.8 in increasing order.\nAnswer: -3.8, -4\/5, -8\/61, 1\/11, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -471 - -460.47. Let w = f - -0.73. Round w to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120290 and 12630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 - 60 = -l - 3*s, 0 = 5*s + 20. Let r = l + -703. Let o = r + 604. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 4. Let z(q) = q**2 + 75*q + 140. Let s be z(-73). What is x(s)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-5)\/((-30)\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17354*z - 69437. Determine l(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-3)\/(-5))\/((-420)\/(-50750)). Calculate the greatest common factor of d and 4640.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 4. Let v be h(-3). Let p = 11 + v. Suppose 3 - p = o. Solve 1 = d - o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*c - 53 = 7*c, 4*c = -4*s + 44. Suppose 4*b = 8*b - s. Let j be (-21)\/(-9) - 2\/(-3). Solve j + b = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 812 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 506500 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386544 is divided by 462166.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/3 (c) 0.1 (d) -4 (e) 6 (f) -0.3 (g) 451\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 5, 0, -9, -22, -39, -60?\n\"Answer: -2*s**2 + 5*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let g = -1 + 1. Suppose -5*r - 9 - 18 = 4*d, -5*d - 15 = g. Let z(y) = 1 - y + y + y. Determine r*m(j) + 5*z(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/5 + 12846*f**3\/5 - 618144*f**2\/5 + 9898496*f\/5 - 52813824\/5 = 0. Calculate f.\nAnswer: -12894, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 19*q - 13*q - 38 = -3*y, 0 = -4*q + 16 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 14. Let n be y(-6). Suppose 5*c = -5*b + 20, -3*b - 2*b = -3*c - n. Suppose 3*z - 8 = -2*q, -b*z - 5*q = z - 11. Solve -z*o + 5 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 2*i = -16*y + 17, -8 = -y - 5*i. Solve 0 = -v - y, -3*x + 5*v = 9*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-51)\/(-9) - -7)\/(2\/15). Suppose -67 - h = -9*y. Calculate the remainder when 89 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291260324 a multiple of 5233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037284 rounded to 4 decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-1)\/(-36)) - (1272 - 1257).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 4, h: 2, y: 1, l: 2, z: 1}. Give prob of picking 2 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((86\/3)\/((-12)\/18))\/(-1). What is the greatest common factor of 645 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmmmmmmmdmmmd. What is prob of picking 2 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 8*b**2 + 71*b + 124. What is the remainder when g(10) is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -436070\/2639 + 2148\/13. Let b = -396\/1015 + a. Put b, -1\/4, 27 in decreasing order.\nAnswer: 27, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t*t**(-4\/3))\/(t**(2\/25)\/(t\/(t\/t**6))))**20 assuming t is positive.\nAnswer: t**(176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-6))\/((-6)\/810).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -147 (b) -1336 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:56 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 + -1975\/13. Let g = 2\/61 + 57\/122. Which is the closest to g? (a) -0.5 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.7 - 45. Let h = 6.3 + -10.9. Let x = 5.6 + h. What is the nearest to 2 in 2, m, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x - 10*x - 25*x + 54*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004428 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -608*1659\nAnswer: -1008672","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 6\/(-3))\/56. Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 93, -7 in decreasing order.\nAnswer: 93, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16147 - -2570. List the prime factors of x.\nAnswer: 3, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 55\/2*o**3 + 0 + 27*o**2 + 1\/2*o**4 + 0*o = 0.\nAnswer: -54, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 349621 and 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*q + 36, 3*q - 2 + 0 = 2*t. Let n(w) = 2*w + 6*w - 3025 + 2229*w**2 - 2230*w**2 + 3019 - 2*w. Determine n(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*r - 6, -570*x + 566*x = -r - 78 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 5, 7 in increasing order.\nAnswer: 5, 7, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5472)*2)\/(1*2*sqrt(2)) + (-1 + sqrt(684))*-6 + (sqrt(684) - (sqrt(684) - (4 + sqrt(684) + -1 + sqrt(684) + sqrt(684)))))**2 + 4.\nAnswer: -108*sqrt(19) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 7*r - 19. List the prime factors of v(13).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -2*c. Suppose -3*k - l = -29, 0 = c*k + 5*l - 3*l - 47. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1536128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252532000 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.46.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.231 + -0.23100795. What is h rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v - 2 = 0. Let r be (1\/(-9))\/(v\/(-12)). Sort 4\/5, r, 1\/3.\nAnswer: 1\/3, r, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*1)\/((-3)\/15). Let k = y - 5. Solve k = -3*i - 1 + 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:08 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (-10 + -9 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, q: 9}. What is prob of picking 1 e and 1 q?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*q + 3*q + 104 - 100)*(-29 + 5 - 6).\nAnswer: 1260*q - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -81, -147, -213, -279?\n\"Answer: -66*d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 124 + (-3 - 4\/(-2)). Suppose -141 = -4*b - g + 106, -2*b - g = -i. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = 3*b, -3*b - 7 - 1 = 5*i. Suppose 0 = -b*a - 4*r + 167 - 31, 0 = 5*a - 3*r - 202. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128176 or -897222\/7?\nAnswer: -897222\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) -0.2448 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -i. Let g(b) = 5*b**2 - 9*b + 2. Let q(o) = -9*o**2 + 17*o - 3. Let k(n) = i*q(n) + 7*g(n). What is the units digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, -5, 2\/4327 in ascending order.\nAnswer: -5, 2\/4327, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*j**2 - 93*j**2 - 125*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 5:13 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + -2)\/(3\/(-2)). Let q(s) = -8*s - 20. Let a be q(-8). Let w = a - f. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 12 - 10. Solve h - t = -2*l + 3*l, 4*h - 5*l - 7 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**3 - n**2)*(-1 - 2 + 4)*(2*n - 4*n + n).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 1, -1, -3 in increasing order.\nAnswer: -63, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1137 - 1131 + 6*n**2 + 4*n + 12*n**2. Calculate the least common multiple of 60 and b(-2).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.8. Let l = 15723 + -15722.8. Put 1, x, -89\/3, l in decreasing order.\nAnswer: 1, l, x, -89\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqqqqqqqaq. Give prob of picking 1 q and 1 a.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18726808 is divided by 3121123.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -497518*t**5 - 83*t**3 - 2481817*t**2 - 168*t wrt t?\nAnswer: -29851080*t**2 - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 192372 take away -4?\nAnswer: 192376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-13) - 2193\/13975\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 6) to base 15.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 153. Suppose 0 = 2*m + f - 24. Calculate the greatest common divisor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -5 (c) 2\/7 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 70062912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0 - 3\/7*o**2 - 1\/147*o**7 + 1\/21*o**4 - 5\/21*o**3 + 125*o + 1\/105*o**6 + 3\/35*o**5. Find c such that u(c) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mccisna. Give prob of sequence casc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + 40. What are the prime factors of k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2992*o - 1368*o - 203 - 226*o + 203 to the form h*o + t and give h.\nAnswer: -4586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -14 (c) -2\/11 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -15 + 111. Let r(k) = k - 14. Let d be r(-9). Let f = d - z. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sckkakckkh. What is prob of sequence kk?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1096*q**4 - q**3 + 1091*q**4 - 3 + 3*q**3 - 4*q**2 to the form u + l*q**4 + y*q + m*q**2 + p*q**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -278 + 282. Which is the fifth biggest value? (a) 0.2 (b) 0.4 (c) -1\/5 (d) k (e) -4484\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2. Let s(x) be the third derivative of -14*x**5\/15 - 7*x**2 + 11*x. Give t(s(r)).\nAnswer: -9408*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Let j = 1 + 1. Let q(l) = l**3 + 12*l**2 + 11*l + 7. Let d be q(-11). Solve -d = h*i + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 11. Let j(d) = -d + 1. Let z(p) = 2*p. Let t = -1480 - -1477. What is o*j(y) + t*z(y)?\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202122101 (base 3) to base 16.\nAnswer: 3ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j + 81. Let s be f(-8). Let z = -27 - -186\/7. Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -333.\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415241?\nAnswer: 617, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Let g be (0 - 6) + 2*1. Let k(v) = -v**2 + 6*v + 3. Let l(u) = -u**2 + 6*u + 3. Let w(m) = g*k(m) + 5*l(m). What is w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:22 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 1\/2 (c) -16 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, 261, 2 in descending order.\nAnswer: 261, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o + 1. Let t(n) = 17 + 579*n**2 - 4*n - 568*n**2 + 6. Let b(p) = -4*s(p) - t(p). What is the first derivative of b(v) wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87221 divided by -22.\nAnswer: 87221\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(8\/(-11) + 1). Let h = 20 - q. Let v = h - -8. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8 = -20. Suppose i*q = -q + 185. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88943748 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/3343?\nAnswer: 2\/3343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.998 + 1.87. Let a = o + 0.078. Let x(t) = t**2 - 2*t - 2. Let c be x(2). What is the smallest value in -3, 5, c, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150043 and 403807?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34088707 to the nearest integer?\nAnswer: 5839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159 + -23. Let f = 404\/3 - h. Put f, 3, 3\/4 in descending order.\nAnswer: 3, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/33 and -83\/236562.\nAnswer: 2602182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 - 14 = -r, 0 = 2*r - z - 63. Suppose 90 = -2*p + 4*y, 99 = -p - 3*y + r. Let q = -9 - p. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15435 and 6779052.\nAnswer: 33895260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 7, -o - 5*d - 42 = -94. Calculate the highest common divisor of o and 49963.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26738, 53485, 80234, 106985?\nAnswer: 133738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 7*x**5\/40 - x**4\/4 + 11*x**3\/6 - 4*x. Let i(p) be the second derivative of m(p). Does 2 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*0 + 182\/7. Let d = f - 20. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1573 - 1537. Let i(f) = -f - 33. Let m be i(0). Let b = m + k. Solve 0 = 4*j - o - 2, b*j - 4*o = j + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**7\/1260 + n**6\/360 - 23*n**5\/30 - 8*n**2. Let i(l) be the third derivative of y(l). Calculate i(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110303 (base 4) to base 12\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32542418 and 209276.\nAnswer: 65084836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + i - 7 = 0, -3*i + 0 = -3*w - 3. Solve 8*x - w*x + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*t - 14 = 0, -2*p + 2 = 5*t + 1. Solve 5 = v + p*c, -4*v = -5*v + c - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7) + -3 + 324\/140\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21827000 rounded to the nearest 100000?\nAnswer: -21800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -398142\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/(4\/12). Let q = 89.08 - 96. Let i = -0.08 + q. What is the smallest value in n, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 13*y**2 - 3*y - 64. Determine i(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (151866\/(-20) - 4) + 4. Let s = t - -7605. Let v = 2277\/4 - 574. Find the common denominator of s and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 9. Let j(o) = 2*o + 8. Let b(a) = -7*h(a) - 6*j(a). Let t be b(7). Round t to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*a + 62*a - 127 = 0. Let i = -1039429\/164 - -6338. Is i smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpqqpqqphxjjpppj. Give prob of sequence jpp.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-638)\/(-322) - 2)\/((-26962)\/427 + 63).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/7)*b*b*b**(-10)*b)**38 assuming b is positive.\nAnswer: b**(-2090\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(9) + sqrt(63)\/sqrt(175))\/sqrt(3))**2.\nAnswer: 363\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - j**2 + 9*j**2)*(-2*j**3 + 2*j**3 + 3*j**3 + 3*j**3 + 3*j - 3*j + (4*j**2 - 3*j**2 + 0*j**2)*(3 - 3 + 2*j)).\nAnswer: 56*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15879045 is divided by 1852.\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 - 28*y**4 + 96*y**3 - 100*y**2 + 34*y.\nAnswer: -2*y*(y - 1)**3*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 3) to base 14\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743963 < 3743966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1712, 6?\nAnswer: 1712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 93228, 186458, 279688, 372918, 466148, 559378?\n\"Answer: 93230*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-40) - (-11649)\/24. Suppose -3*w = x - 354, -6*w + 3*x + g = -2*w. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*f + 16. Let n be (-79)\/(-8) - f\/(-56). Solve 5*t = 3*t + n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**3 - 330*f**2 - 3*f + 3. Let v(z) = -20*z**3 + 989*z**2 + 8*z - 8. Give -8*c(l) - 3*v(l).\nAnswer: 4*l**3 - 327*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1608 + 345 = -277*l - 2756 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 10) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 999880 and 1799784.\nAnswer: 8998920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 3*r**2 - 2*r - 2*r**2 - 25*r in the form i + n*r**2 + z*r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*p = 5*r - 128*p - 25, 14*p = 5*r - 110 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197845406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-5)))\/((w*w*(w*w**(-4))\/w)\/w)*w*w**(-8)*w\/(w**(-8)\/w)*w)**(-35\/2) assuming w is positive.\nAnswer: w**(-455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264 - 762. Let z = -352 - f. What is the remainder when z is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + n - 2. Let o(z) = -215*z**3 - 4*z - 19. Let d(y) = -o(y) + w(y). What is the second derivative of d(j) wrt j?\nAnswer: 1278*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*s - 4)*(-2*s**4 + 2*s**4 - s**4) - s**5 - s**5 + 4*s**5 + (5 - 3 + 4)*(0*s - 2*s + 0*s)*(0 + s**2 + 0)*(s**2 - 3 + 3).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1565 - 1550. Solve 0 = 34*w - 37*w - z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let t be (6 - -2) + -3 - 3. Suppose 0*q + 35 = 5*q - 3*i, 0 = t*q - 2*i - 10. Let m(j) = 2*j + 11 - q - 1. Calculate s(m(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1414, 6, 30, 1 in increasing order.\nAnswer: -2, 1, 6, 30, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*v**2 - 64 - 26 + 46*v**2 + 29 + 6*v to n + q*v**2 + b*v and give n.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1528\/48703 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 2*w**3 + 2*w**2. Let a(b) = b**3 + 8*b**2 + 4*b + 17. Let h be a(-7). Let m = h - 38. Give s(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(-2)*(-80)\/40\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15466 and 37928.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4878 = l + 5*v, 3079*v - 3083*v + 4874 = l. What is the remainder when l is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -36*p**2 + 5*p - 5. Suppose 8*t - 4*t = 3*o + 9, -o - 5*t = -16. Determine v(o).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132\/7 + 418\/21. What is the common denominator of 13\/330 and u?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13173 is divided by 455?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -179*i - 19. Let v(h) = 89*h + 8. Give 9*v(k) + 4*x(k).\nAnswer: 85*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 476*m**2 - 5*m + 17. Let t(p) = 238*p**2 - 3*p + 9. Let r(o) = -11*t(o) + 6*w(o). What is the second derivative of r(c) wrt c?\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2097147?\nAnswer: -10485735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 2*s - 175*s**2 + 176*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 43, 54, 63, 70, 75?\n\"Answer: -s**2 + 16*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/210*5)\/(10\/14). Put 0, 0.6, u, 10 in ascending order.\nAnswer: 0, u, 0.6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 19 + 4. Suppose z - 1714 = 4*z + 4*v, z + 573 = -c*v. Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 16 + 12 = -2*f, -4*m + 20 = -4*f. Let v(q) = 2*q - 7. Calculate v(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -27. Let x be 5\/(k\/4) + 21. Suppose 3*g + 3*z = 27, 2*g + 0*z - x = 3*z. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.99999949 - 20. What is s rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -246, -1905, -6408, -15177, -29634, -51201, -81300, -121353?\n\"Answer: -237*j**3 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -644*f. Let x(v) be the third derivative of -v**5\/30 + 288*v**2. Determine x(t(c)).\nAnswer: -829472*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10\/9)*d*(d*d**(12\/11))\/d*d*d)\/(d**(-2\/17)\/d)**(6\/23) assuming d is positive.\nAnswer: d**(126631\/38709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 5. Let s(y) = -5*y - 5. What is -2*p(a) - 3*s(a)?\nAnswer: 5*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678176650 to the power of 1\/2, to the nearest integer?\nAnswer: 60648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 2*x = -27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -4*k. Suppose k*p = -2*t + 302, -5*p - 4*t + 0*t = -500. Suppose 0 = -3*j + 13 + p. What is the remainder when j is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-46))\/(4520\/25990). Let q(f) = -f**3 - 4*f**2 + f + 3. Let i be q(-4). What is the smallest value in i, k, 0.2, -4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juuzjztae. Give prob of sequence zjet.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -14. Let i be (11 - -2)*w\/(-4). Does i = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770126.\nAnswer: 2, 97, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -7*q - 320. List the prime factors of q\/6*(-42)\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 49.856 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 52 = -2*m. Suppose 4*x + 4*s + 40 = 0, 4*x + m = -s - 12. What is the biggest value in x, -2\/9, -11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, r: 3, z: 1}. What is prob of picking 1 z and 2 r?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, w: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-720)\/(-2 + 10)*(2 + 12\/(-5)). Solve -d + 31 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6218314 to the nearest 10000.\nAnswer: -6220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11019656, 11019640, 11019614, 11019578?\nAnswer: 11019532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d**(-5\/2))**(-21) assuming d is positive.\nAnswer: d**(483\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.448, 6, -2\/3?\nAnswer: 0.448","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - b**2 + b**2 + b**3 + 0*b + 0*b + 5*b**3 - 3*b**3 - b**3 + (b - 3*b + 4*b)*(-4*b**2 + 2*b**2 + 3*b**2))*(16 + 8 - 12)*(2 + 4 - 5).\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*r - 68*r - 2*f + 13, 4*r = -3*f - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 1355*n + 16770.\nAnswer: 5*(n + 13)*(n + 258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 77*o**2 - 31*o + 65. Is p(2) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14704 is divided by 3632?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 6, 4, 2, 0?\n\"Answer: -2*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00571025 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4833977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = 3*u, -4*u + 7 = 3*o - 18. Suppose s + 0 = o. Put s, -2, -3 in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -24. What are the prime factors of (6\/p)\/((-1)\/15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6651766 (base 8) to base 3.\nAnswer: -10100222202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 14.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 + 786. Calculate the remainder when g is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -5505?\nAnswer: -5507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 3*l - 6. Let u be a(-4). Let k = -4 - u. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-898*s - 2*s**3 + 898*s)*(3 - 2 + 0).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95*h**2*u - 6582*h**2 - 7491*u - 36 wrt h.\nAnswer: -190*h*u - 13164*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 185577 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -29\/5, 19, -5504, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354566586 divided by 3.\nAnswer: -118188862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - 3*z)*(-16*z - 3*z + 10*z)*(-2*z + 2335*z**2 - 2222*z**2 + 4*z).\nAnswer: 1017*z**4 + 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -1593*x**6\/20 - x**5\/30 + 4783*x**4\/24 + 2*x**2 + 4521*x. Find the third derivative of s(b) wrt b.\nAnswer: -57348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1375435 * 1.4.\nAnswer: 0.1925609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*7\/6*-8. Let w = a - 14. What is the remainder when 41 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v + 5 = 0. Suppose -52 = -v*k + 3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + z. Let h(y) = y. Let k be -6*3\/(-9) - 3. Give k*g(p) - h(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330802016.\nAnswer: 2, 10337563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 11168022*d + d**2 + d**2 + 11168022*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 51, 2, 46, -5, 4 in descending order.\nAnswer: 51, 46, 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22021221202 - 1221?\nAnswer: 22021212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)\/(sqrt(8)*2))\/sqrt(3) + sqrt(143)\/(sqrt(704)*1 + sqrt(11)))**2 - (sqrt(39)\/(sqrt(363)*2) - (-1 + sqrt(13))*-4*5).\nAnswer: -441*sqrt(13)\/22 + 8053\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 333051851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 q when three letters picked without replacement from {d: 1, s: 3, q: 1, c: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 1\/3*d**6 - 1 + 0*d**5 + 0*d + 0*d**3 + 3\/2*d**2 + 0*d**4. Find the second derivative of v(m) wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 4, i: 1, a: 6}. Give prob of sequence mip.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3673\/385 - 104\/11. Let s(p) be the second derivative of 0*p**2 + 0 + 1\/21*p**3 - 2*p - u*p**6 + 3\/14*p**5 - 1\/6*p**4. Solve s(k) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/8 + w**2\/2 - 3*w - 39. Let v(o) be the first derivative of g(o). Let n(x) = -60*x**2. Give v(n(u)).\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-132)\/(-30) - 6). Suppose h*y - 6225 = -o + 11*y, -4*o + y + 24845 = 0. What is o rounded to the nearest 100?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -5\/539629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2627 - -18341\/7. Let d = 2112\/49 - 606629\/14014. Calculate the common denominator of t and d.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*j**3\/4 + 26295*j**2\/2 + 1183737*j\/4 - 132825\/2 = 0. Calculate j.\nAnswer: -1925, -23, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 6. Let p(f) = -f + 9. Let k be p(7). Let z(c) = -2*c + c + 3 - k. Suppose 0 = o + 4*t + 11, 0 = -2*o + 2*t + 2*t + 14. Give o*v(y) + 5*z(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -344?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**4 - 2*k**2 + (k**3 + 0*k**3 + k**3)*(2 - 2*k - 2))*(4*k + 0*k - 6*k + 4*k - 3*k - 5*k + (-2 + 1 + 0)*(0*k + 0*k - 2*k)).\nAnswer: 24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 47 - 410. Which is smaller: -97\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126*89.\nAnswer: 11214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005011 to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 39 = 17*g. Suppose -3*l - 237 = -g*y, 3 = -2*l - 7. What is the greatest common divisor of 111 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -77 + 9 + 22 + -10?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-2))\/2 + 0. Let b = 22 + -11. Is b*((-1 - -2) + y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*q - 13826*q**3 + 52*q - 184*q**3 + 42*q.\nAnswer: -14010*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9465479 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 657117 times -0.625?\nAnswer: -410698.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*m**5 - 145*m**3 - 2*m - 665.\nAnswer: -240*m**3 - 870*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -5, -5\/3, 5, -11.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 1166705*t + 1166700.\nAnswer: 5*(t + 1)*(t + 233340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 224938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9380110*b. Let f(d) = -2*d. What is f(w(h))?\nAnswer: -18760220*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8562, 17118, 25670, 34218, 42762?\nAnswer: 51302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1374)\/(-6183) + (-26)\/(-18)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19.53*308975\nAnswer: -6034281.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -146\/331?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**4 - 8 + 2*g**3 - 1332*g + 2*g**2 + 1330*g + 6 in the form y*g**4 + n + s*g + w*g**2 + p*g**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 149576020.1+0.30078\nAnswer: 149576020.40078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 4*l + 5*t, 3*t = -2*l - 2*t + 212. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + f**2 + f - 2. Determine j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576*x + 446 = 574*x + 8974. What is the smallest common multiple of 1066 and x?\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.051 (b) 2 (c) -0.2 (d) 0 (e) 16.12 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/91)\/((-1950)\/(-67600))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12762437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let g be (5 + (-207)\/42)\/((-12)\/(-14)). Let q(m) be the second derivative of m + g*m**4 + 0*m**2 + 0 + 0*m**3. Calculate q(z(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c - 0*c. Let d be -2*(36\/27 - 3\/9). Let t = -32 + 31. What is the biggest value in d, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -5, -0.148, -4, 1\/127?\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 - 242. Suppose -w*p = -5*f - 606, -9*f = -5*f. List the prime factors of p.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3 = q. Suppose 0 = -b - q*w + w + 5, -3*b + w + 1 = 0. Let g be 230\/b*(-4)\/(-10). What is g rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4214 (base 5) in base 8?\nAnswer: -1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-330*p - 1611*p + 852*p)*(p - p**2 - p) in the form t*p**3 + h*p + q*p**2 + b and give t.\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - u = 18, 5*g - u - 6 + 33 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37052044 + 37052044 - 3*o**2 - 2*o.\nAnswer: -3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51745657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9263 - -12737. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278.4 + 278.7. Which is the closest to 2\/5? (a) 3 (b) u (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {c: 1, u: 1, a: 1, i: 3, y: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (4 - 2) - -2. Solve n = 6*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31957 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -399 + 9977\/25. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 483144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bllhslgllllgggl. Give prob of sequence hg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 154046 = -3*k - 15081, 0 = 5*k + 30. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**4 - p**2 + 0 - p + 0*p**3 + 1\/60*p**5. Let q(r) be the first derivative of v(r). Let o(b) = 2*b. Determine o(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:25 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269988 = z - 4*l, -4*l + l + 3809991 = -3*z. Round z to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1344350 (base 6) to base 7\nAnswer: -435033","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from ylkfcff.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*1\/(-18) - 2822\/(-204). Solve -u + 26 = -l*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2676055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15)\/((d\/d**(-6\/7))\/d))\/((d*d**(19\/4)*d)\/d**18) assuming d is positive.\nAnswer: d**(-129\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 769, 783, 783, 763, 717, 639?\n\"Answer: -k**3 - k**2 + 24*k + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -997, -977, -945, -901, -845, -777, -697?\n\"Answer: 6*l**2 + 2*l - 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/27*3*(21 + 0). Let b be (-48)\/(-14) - 6\/14. Solve 10 = 5*k, b*d - 2*k - 25 = -w*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13407 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) 0.2 (c) 23 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*m - 60*m - 8 = 0, 0 = 4*r + m - 216. Suppose 0 = 3*s + 2*s - 270. Let z = r - s. Solve -j + k + z = 0, -3 = -j - 2*k + k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 7*m + 15 = 4*z, -m = -5*z + 12. Solve -m*o - d = -4 - 13, 0 = -4*o + 4*d + 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + 8 + 36 - (-3 + 75)) + 6.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 + -3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 27. Suppose -x = -q*x + 15. Suppose 6 - 21 = -x*c. Let g(o) = o**3 - 6*o**2 + 4*o + 7. Determine g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -29.05, 6\/31, -0.4, 4, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12310.4 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6. Let q = -0.04 - -0.1. Let g = -0.46 + q. Put a, g, 2\/21 in ascending order.\nAnswer: g, 2\/21, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*f - 5, 6*f - f - 3 = 2*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115145740777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3 + 8 - 691*q + 697*q. Let t(s) = 18*s + 14. Give 5*t(x) - 14*v(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 287?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (505 - 479 - (47 + 1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637566?\nAnswer: 2, 3, 106261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 1\/10*c**5 - 1\/4*c**2 - 3\/8*c**4 + 1\/2*c**3 + 0*c - 221. Solve d(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 41 (c) 3\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34781622 is divided by 47646.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 58018 = -5*w, 34*b - 51*b = -4*w + 46502. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/35, 2\/3, 1\/4, 5, 0.3 in ascending order.\nAnswer: 1\/35, 1\/4, 0.3, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2500, -10030, -22576, -40132, -62692, -90250?\n\"Answer: c**3 - 2514*c**2 + 5*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11512 and 5140?\nAnswer: 14792920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -12.74\nAnswer: 2.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8 + 0 + 0 + 81*t - 82*t. Calculate m(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 162*n + 78. Determine j(-2).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eazpzvxvavzvaav. Give prob of sequence eaa.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237134666.\nAnswer: 2, 17, 1483, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 336\/5, 3, 4, 0.4, 42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14509497?\nAnswer: 3, 911, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:50 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-15)\/(-12) - 2). Let t be (d\/(-6))\/((-1)\/738). Is 11 a factor of ((-1)\/(-3))\/((-4)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81548 + -81689.917. Let o = i - -142. Let v = o - -0.017. What is the second smallest value in 4, -0.3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose 2*u + 22 = -0*q + 5*q, r*u + 12 = 4*q. Let a(m) = m**3 - 6*m**2 + 7*m - 11. List the prime factors of a(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -3, -5.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**3 + 9*h**2 - 8*h + 4. Let w(s) = -s**3 - s**2 + s. Let y(j) = -u(j) - 6*w(j). Let m be y(-4). Sort 1, -1, m in increasing order.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92163923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1. Let a(d) be the first derivative of -2*d**3\/3 + 3*d**2\/2 + 43. Determine a(r) + 2*c(r).\nAnswer: -2*r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13138082?\nAnswer: 2, 19, 345739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/207 - -247\/4140. Let u = 1\/4 - f. Factor -u*d**2 - 4\/5*d - 3\/5.\nAnswer: -(d + 1)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 8 = 8*u + 68 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.15 minus -0.0712?\nAnswer: 21.2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 767911477 to the power of 1\/2, to the nearest integer?\nAnswer: 27711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7 = -2*d + 1, -d = 4*a + 3. What is the smallest common multiple of (d + 2)*(0 + -3) and 192\/20 - (-4)\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + t + 178 - 343 = 0, 22*v - 51 = 7*v + 2*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 2. Let r = 4.6 - i. Which is the closest to r? (a) -0.2 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 26*a + 129. Let i be w(-4). Suppose 17*b - i*b - 72 = 0. Let l(p) = p - 5. Let m be l(0). What is the biggest value in m, -3\/2, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6847461 millennia in years?\nAnswer: 684.7461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + x + 0*x. Let j(g) = -12*g - 24. Let u = 558 - 557. Let w(a) = u*j(a) - 10*v(a). Find the first derivative of w(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000920954 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -206 + 215. Let g be -11 + l - 16*(-48)\/387. Which is the second biggest value? (a) g (b) 0.5 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 3 - 3*h - 3*h**2 + 2*h**2. Let p(f) = f**2 - 2*f + 4. Let t = 3 - 0. Calculate t*r(w) + 2*p(w).\nAnswer: -w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/10 - 1) + (-3)\/5. Let a(f) = -5*f**3 - 24*f. Let l(s) = s**3 + s. Let y(p) = v*a(p) - 22*l(p). What is the second derivative of y(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184 - -181. Suppose 4*s - 366 = -34. Let y = s - 417\/5. What is the third biggest value in y, u, -1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 - 3) + (627 - 632)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*m - 1. Suppose -4*r - m = -14. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8451.8 and -2111.\nAnswer: -17841749.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/11)*t*t)\/(t\/(t*t*t*t\/(t*((t\/((t\/t**(-1\/7))\/t))\/t*t)\/t)*t))*(t\/(t**(-5\/3)*t))\/t**(-2\/9))**(-49) assuming t is positive.\nAnswer: t**(-39844\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*h = 3*h + 2, 18 = 3*t - 3*h. Let d(p) = 2 - 2*p**t - p**2 + 8*p + 8*p**2. Let s(x) = -9*x**2 - 15*x - 4. What is 11*d(k) + 6*s(k)?\nAnswer: k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7102907 and 5572?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -8 - 12. Let t(u) = u**2 + 15*u. Let s(a) = a**2 + 14*a. Let m(p) = -5*s(p) + 4*t(p). Let z be m(n). Solve -6 = -2*w, z = h - 3*h + 3*w - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.5. Let g = -1 + 2. Which is the closest to g? (a) n (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (98\/112 + -14).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + 6*2*(2 + sqrt(117)) + (0 + sqrt(117) + 1 - (sqrt(117)*2 + 0)))*-5)**2.\nAnswer: 356400*sqrt(13) + 3314925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6191 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 - 9*m + 11. Let q(l) = 3*l**2 + 31*l - 8. Let x be q(-14). Let n = 153 - x. Give h(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222 + 79. Let d = 146 + k. Which is the closest to d? (a) -1\/5 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 0, -5*r + 2*r - 24 = -3*i. Let z(d) = 17*d**2 + 11*d. Let y(c) = -8*c**2 - 5*c. Calculate i*y(x) + 6*z(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.19999979. Round m to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 8 + 33*q + 4 - 5.\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -35*b + 20*b + 3 + 2. Let i(x) = -14*x + 4. Let y = -12 - -7. Let l(o) = y*i(o) + 4*f(o). Let t(r) = r. Give t(l(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 + 10*x - 11. What is the remainder when 32 is divided by h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = 26, 0 = 4*z - 4*i - 22472. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 5*t + 6*t + 2*t + 3*t - t + (-t - 3 + 3)*(1 - 4 + 1) + 0 - t + 0 + t + 3*t - 3*t + 5*t + 3*t - 4*t + (5*t - 3*t - t)*(-3 - 2 + 4).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (24 + -20 - 15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 - -4554?\nAnswer: 4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0892546 + -1.752089.\nAnswer: -1.8413436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-12) + 0 + 1. Let w(i) = i + 2. Let q be w(-2). Which is the closest to q? (a) -1 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3 + 27735*p**2 - 98051184*p + 74725920684 = 0.\nAnswer: -12113, 1434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 + 993*h**3\/2 - 11943*h**2\/4 + 4482*h.\nAnswer: h*(h - 3)**2*(h + 1992)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 28 = -0. Which is greater: j or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.35? (a) 2\/7 (b) 2.6 (c) 10\/43 (d) 3 (e) 1\/3 (f) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -310592\/577 smaller than -537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -459 - -462. Let w = -3 + 3. Suppose w = -m*x - x - 8000. Round x to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/565 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 897 and 50011.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -191, 165, -61 in increasing order.\nAnswer: -191, -61, 0.6, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -0.43. Let x = 29.5 + -29. Let h = 0.12 + -0.42. Which is the second biggest value? (a) x (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -291, -656, -1167, -1824, -2627?\n\"Answer: -73*g**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52, 104, 198, 340, 536, 792, 1114, 1508?\n\"Answer: x**3 + 15*x**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 10) + (-81)\/108*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.7. Let d = -0.4 + m. What is the third smallest value in -2, d, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, f: 2, s: 9}. Give prob of sequence fq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iviy when four letters picked without replacement from bbvpsvivipvpsy?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*n = 1, 3*n + 2 = -m - 0*m. Sort -4, 4, m in decreasing order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*d + 2*d = 12, -6 = -2*p + d. Suppose -12 - 14 = 2*i + 5*v, 0 = -4*i - 2*v - 68. Let u be (i\/(-12))\/((-2)\/4). Put p, u, -2 in increasing order.\nAnswer: u, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 4*x**4\/3 - 2*x. Let k(i) be the third derivative of i**4\/12 - i**2. Calculate n(k(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4 = 0, -5*g + 2460 = -3*q + 2474 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3638819543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3 + 3)*(-168 - 173 + 303).\nAnswer: 76*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 208*x - 1 + 4*x**2 - 208*x + (2 + 1 - 6)*(1 - 1 + 2*x**2).\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 5 (c) -9\/4 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y**2 - 3*y**2 - y**2. Let c(s) = 28*s**2 - 3*s. Let x(g) = 93*g**2 - 10*g. Let o(d) = 10*c(d) - 3*x(d). Calculate t(o(b)).\nAnswer: -21*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 1, -19, -57, -119?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 3*h + 14, 5*s - 26 = -3*h. Factor -195*r**2 + 388*r**2 - 193*r**2 + 3*r**3 - s*r + r**4.\nAnswer: r*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2943647?\nAnswer: 7, 420521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1358*u + 6804. Calculate s(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:39 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 26, 1476 in increasing order.\nAnswer: 2, 26, 1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -391\/5 + 1193\/15. Which is the third biggest value? (a) 242 (b) -1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -850\/63 or -14?\nAnswer: -850\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110223220 - -11332?\nAnswer: -1110211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 4, s: 5, m: 4, x: 3, u: 1}. Give prob of picking 1 j and 2 m.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 8*n + 6*n**3)*(-2*n - 2*n + 3*n) + 3*n**4 + n**4 - n**4 + 4 - 4 - n**4.\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*t**3 - 11955422*t + 11955422*t.\nAnswer: 690*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 46756.76 minutes?\nAnswer: 2805405600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6635652*b**2*z**3 + 54*b*z**3 + 97*b*z**2 + 28*b*z - 3*z**3 - 2*z**2 wrt b.\nAnswer: -13271304*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 366.7333?\nAnswer: -1100.1999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5*z + 25, -x + 2*z + 5 = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-8 + 12 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -20) + -2 + 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*l**5 - 1143*l**4 - 68*l**3 + 435157686*l**2 wrt l.\nAnswer: 780*l**2 - 27432*l - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - q + 14)*(54*q + 127 + q**3 - 127) as z + f*q**3 + u*q**4 + k*q**2 + j*q and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28898392?\nAnswer: 2, 19, 190121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*y = 15, 20 = 4*y - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uurrr. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243340 - 243364.0098. Let o = 3.1 - -20.9. Let q = s + o. What is q rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 + 3921 = 327*x - 5299 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548042.6 litres to millilitres.\nAnswer: 548042600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27495, -54973, -82451, -109929, -137407, -164885?\nAnswer: -192363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.618 + -2.618. Which is the closest to -1\/4? (a) -1\/2 (b) -2 (c) -0.06 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -26, 0.4, -1, 4, -0.15.\nAnswer: -26, -1, -0.15, 1\/6, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 6*y - 5. Let w be s(-5). Let t = 3 + w. Suppose t*g - 18 = 36. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*s + 276 = 0. Calculate the smallest common multiple of 10 and s.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 0.5, -0.01487 in descending order.\nAnswer: 1, 0.5, 0, -0.01487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t**2\/2 - 13*t\/8 - 155\/4 = 0. What is t?\nAnswer: -155\/84, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340101300 to the nearest integer?\nAnswer: 18442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s**(6\/23)*s))\/s)*s*s)\/(s*s**(-1\/18)*s))\/(((s*s*s*(s*s**(2\/17))\/s)\/s)\/((s**21\/s)\/s)) assuming s is positive.\nAnswer: s**(135121\/7038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)*m*m)\/(m\/(m**(-2\/27)*m)))\/(m*(m*m\/m**(-10))\/m)**(26\/5) assuming m is positive.\nAnswer: m**(-89534\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13540964197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 10, -3, -32, -83, -162, -275, -428?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 - -1.7. Let d(y) = y**2 - y. Let u be d(1). Let t = 225.8 + -218.8. What is the nearest to -0.1 in b, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5588989 or 5589055?\nAnswer: 5588989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48047791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6747489 divided by 35701?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51654.159ms to days.\nAnswer: 0.0005978490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*-5.837\nAnswer: -35.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*o - 6 = 1 + 9, 7*o + 5 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + -1*sqrt(363))**2 + 6*(sqrt(363) + (sqrt(363) - -1*sqrt(363) - sqrt(363))**2)*-1.\nAnswer: -358 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23534.715 months in centuries?\nAnswer: 19.6122625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91, 100, 121, 160, 223, 316, 445, 616?\n\"Answer: w**3 + 2*w + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -10.1. What is the third smallest value in 5, h, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -98. Suppose t = 8*u - 3*u - 45. Let q be (3 + -5 - -1) + u + -2. Solve 3*x + q = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/7 - 124*i\/7 + 18 = 0. Calculate i.\nAnswer: -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2907 and 43947.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3968.9695 to the nearest integer.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 24*m - 5*m - 620 = 0. Solve -9 = 3*a + 5*g, 5*g = 3*a + 40 - m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 8 - (1 + -5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 3, i: 2, y: 4, x: 1, u: 2}. Give prob of sequence dud.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 12. Let p = 1.1 + 0.7. Let k = -2 + p. What is the closest to 2 in u, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7110 - 7097. What is the highest common divisor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 37*n. Let y(r) = 34*r. Give y(b(s)).\nAnswer: -34*s**2 + 1258*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/(-24))\/((-2043)\/1022 + 2) is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1, -2, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5166 and 280.\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1761*k + 704 = 9509. Let y(a) be the third derivative of a**4\/12 + 7*a**3\/6 - a**2. Calculate y(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -205? (a) -2 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide ((-34640)\/18)\/(-2) + 118\/(-531)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -214 - -3)\/2. Let i = s - 855\/8. Which is smaller: i or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6 + (-21104)\/3957)\/(-82)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -38261 (c) -0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9628841.\nAnswer: 29, 547, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4328 and 34624?\nAnswer: 34624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 240.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42a9 (base 16) in base 13?\nAnswer: 79c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 a, and 1 o when four letters picked without replacement from {c: 7, o: 1, a: 4, n: 6}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1053 and -11\/444?\nAnswer: 155844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(1\/147*(-63)\/35)\/(1140\/1330)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or -59?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8. Solve 5*a = r - 15 - w, -5*a = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(133)*-2 + sqrt(133) + sqrt(133)))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1880050073 to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -2, 0.15, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m - 357 - 573. Which is the biggest value? (a) -0.1 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5462891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 48 = -13*f. Let c = -11 - f. Suppose i - c - 2 = -g, 5*i = -2*g + 87. Solve 1 = -5*o - i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 - 59*j - 42*j + 129*j + 139.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/5 + 2289*d**2\/5 - 261747*d - 262205 = 0.\nAnswer: -1, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32905\/72391*-5*-3*(-2)\/25\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 52*t - 887. Let z be g(17). Put 3, 360\/13, z, 4 in increasing order.\nAnswer: z, 3, 4, 360\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 71 and 73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10 = -2*w, -2*w = -2*m - 4 - 6. Let a = m - -3. Calculate the remainder when (-1)\/a - 194\/(-4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*u + u - 5050, -4067 = -4*u - 5*v. Suppose u = 3*k - 493. What are the prime factors of k?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 154. Let i be c(-20). What is the greatest common factor of i and 312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -456 and -454 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65809*c**3*u**3 + 569*c**2*u**3 + 4*c**2*u**2 - 22*u**3 wrt c.\nAnswer: 394854*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 782, 3126, 7036, 12512?\nAnswer: 19554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 288260 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y\/(y\/y**(-7)))**32 assuming y is positive.\nAnswer: y**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44558467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 11:54 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**8\/280 + i**4\/24 + 5*i**3\/3 - 4*i. Let t(q) be the second derivative of r(q). Find the first derivative of t(s) wrt s.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:22 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 - 7*y**4 - 53*y**3 + 315*y**2.\nAnswer: y**2*(y - 9)*(y - 5)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4 - 14*u**3 + 8*u**2 + 104*u - 96 = 0.\nAnswer: -6, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.077.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1187863724 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 3051.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8166196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -532*v - 828*v + 500*v as l*v + a and give l.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3251921 to two decimal places.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.3559.\nAnswer: 1.7795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q - 102 = 46*q. What is the second smallest value in q, -3, -73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 + -4890\/31. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371.8*112\nAnswer: -41641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - 0.030035. Round g to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1790.926 milligrams to micrograms.\nAnswer: 1790926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k - 12*k + 593878 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -0.21. What is the second smallest value in 0.4, 2\/7, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*u + 1051*u = 349*u + 352*u - 343 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from fwww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3231497784 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 - 2448*o**2\/11 + 87480*o - 119042784\/11.\nAnswer: 2*(o - 486)**2*(o - 252)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.09635 rounded to one dp?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*a - 2296 = -247*a + 262*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1.38, -0.01, -26\/3, 7\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 5*t + 4*o + 9, 2*t + o + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 1.1, -5, 2, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*x - 84366, 69*x - 21099 = -c + 71*x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 4. Let i be (94 + -7)\/(s\/3). Let x be 243\/i + 1\/1. Is 0 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 2363*z**2 - 1242000*z - 186650244.\nAnswer: -(z - 1242)**2*(z + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/3 + 7 + -11 + -4. Sort 2\/9, l, -1\/9, -5, -13.\nAnswer: -13, -5, -1\/9, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {w: 8, c: 2, f: 8}?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (50 - 11) - 60\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*r + 55 = -307*r - 309*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78*d*h*t*x - 1625*d*t*x + 2*d*x + 1016*h*t + 63*t wrt h.\nAnswer: 78*d*t*x + 1016*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r + 50. Determine t(-19).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 21*q**2 + 19*q + 24. Let x be h(20). What is the third derivative of -3*k**2 + 11*k**x + 0*k**2 - 12*k**2 wrt k?\nAnswer: 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) 1\/4 (c) -40\/1909\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832166 is divided by 540.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 5, a: 3, b: 2}. Give prob of sequence baal.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7641645*q**3 + 6*q + 10317.\nAnswer: -45849870*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*k + 116027 = -356*k - 1119*k + 33763 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (7 + 4 + (-15 - -13)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + i - 35. What is the hundreds digit of (-9)\/45 + (-21)\/i - -267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (67*(-3)\/2)\/((-1)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 e, and 1 l when four letters picked without replacement from eeqllleqelmhqe.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0509 + -0.0509. Which is the nearest to 0.06? (a) -7 (b) 1\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4421103 (base 5) in base 11?\nAnswer: 52448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/821 - 4952\/10673. Let k = -16911 + 16911.1. Sort 3, k, q, 4\/5 in increasing order.\nAnswer: q, k, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 19*j + 2. Let m be z(-2). Let g be (((-8)\/m)\/(-2))\/(-1). Sort g, -1, 3.\nAnswer: -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose 0 = -p - n + 15, -4*n + 25 = t*p - n. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 34. Suppose 9*v - 36 = 12*v. What is the tens digit of k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13067 or -15766?\nAnswer: -13067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*o - 41*o - 10*o.\nAnswer: -221*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 6) + 5 + 5. Suppose 5*b + g = 3*g + 98, -96 = -l*b + 4*g. Solve 4*v - b + 0 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -597, -1176, -1755, -2334, -2913, -3492?\n\"Answer: -579*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 932 - 1335. Let r = s - -795. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -10. Suppose 2*j - 8 = -0*j. Suppose -8*r + 12*r = 1037 - 1037. Put j, -3, r, x in descending order.\nAnswer: x, j, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c, 3*g + 3*c - 15 = 4*c. Suppose m = 4*x - 24, 4*m - 44 = -x - 3*x. Suppose 5*t - 40 = -g*z, 2*z + 33 = 5*t - x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -25*c**3 + c**2 - 2*c - 9. Let u(b) = -23*b**3 + b**2 - b - 9. Let m(g) = -7*u(g) + 6*y(g). What is the hundreds digit of m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4125259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 - 105*n**2*u - 10*n*u - 2*n - 17*u wrt n?\nAnswer: 40*n**3 - 210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 2. Let k = 8 - 3. Calculate the remainder when (37 + -1)\/3 - -2 is divided by h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3570*r + 17852. Let h be t(-5). Determine j, given that 0 - 6\/11*j**h - 24\/11*j**3 + 4\/11*j - 14\/11*j**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 1, j: 2, o: 1, y: 1, l: 1}. Give prob of sequence lyq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**4 + 4*o**3 + 40*o**2 - 28*o.\nAnswer: -4*o*(o - 1)**2*(4*o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 708812 + -80805109\/114. Let d = -8\/19 + a. What is the common denominator of -25\/4 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 4*b - 8. Let c(y) = 2*y + 25. Let q be c(-10). What is the units digit of z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.9458, 1, -1\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpuuuxxtuuoourxuuuuu. What is prob of picking 1 o, 1 p, 1 x, and 1 t?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5867478 millimeters in centimeters?\nAnswer: 0.05867478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 1912300.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 250 = 6*u. Let q(m) = 15*m**3 - 5*m**2 + 11*m - 14. What is the remainder when q(2) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6786, 6791, 6784, 6759, 6710, 6631, 6516, 6359?\nAnswer: 6154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = 24. Let k be 1*s*(-1)\/(-2). Suppose 6*z - k*z = -8. Let n(r) = r**2 + 3*r - 4. Give n(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.19 - 0.81. What is the third biggest value in -7\/16, -0.1, b, -1\/4?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250 + (4 - -1) + -7.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102369943.9 rounded to the nearest one hundred thousand?\nAnswer: -102400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 8*l - 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 24*f**3 + 2*f**2 - 6*f + 14. Let p(b) = 16*b**3 + b**2 - 4*b + 9. What is -8*p(i) + 5*q(i)?\nAnswer: -8*i**3 + 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 231.60015 and -0.4.\nAnswer: -92.64006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l. Let z(d) = -5*d**2 + 4. Let s(f) = 6*f**2 - 5. Let u(x) = -4*s(x) - 5*z(x). Give u(h(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*d - 3861, -101*k + d - 6407 = -106*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 747 and 72791.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(171) + (sqrt(171) + (sqrt(171)*1 - sqrt(171)) - sqrt(171)) + sqrt(171)) + -5.\nAnswer: -5 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19129\/12750 - -2\/6375. Let v = 4 + -1. What is the closest to 0 in x, v, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 16*s - 6 = 8*s. What is the second biggest value in -9, 7, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from {i: 1, g: 6, z: 12}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4*w + 2*t**3*w - 247*t**3 + 133*t - w wrt t.\nAnswer: 12*t**2*w + 12*t*w - 1482*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*h**5 - 205*h**5 - 3668*h**2 - 85*h**5 - 4425*h**2 + 36*h**5 + 2*h**3 wrt h?\nAnswer: -14400*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(45) - (sqrt(320) + -1 - sqrt(320) - sqrt(320))*4)**2 + 5.\nAnswer: 140*sqrt(5) + 6134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 59*x**2 + 63*x**2 + 59*x**2 - 244*x**2 + 65*x**2. Let c(j) = -22*j**2 + 1. Determine c(h(f)).\nAnswer: -88*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 1. Let h be a(-4). Suppose 2*r = h*r. Suppose -2*l + 7*l = -2*t - 17, 4*l + 2*t + 14 = r. Is -3 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (12 + -13)) + (-6 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331 (base 4) to base 11.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211\/3 + 629\/9. Suppose 8*u - 10*u = 12, u = -32*z + 90. What is the fourth smallest value in z, 6.8, k, -1?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n = -15. Suppose -n*d - 12 = -d. Put d, 1, 3 in descending order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 53*r + 66. Give h(52).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63396131.58841 - 39.\nAnswer: -63396170.58841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18903 + -87035245.8.\nAnswer: -87016342.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9498 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 3. Suppose 4*m - 505 = -409. Suppose -2*y + 38 = 2*j, -5*j + 0 = 2*y - 35. Let d = m - y. Determine f(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -25*m. Let u be r(1). Let q be (-102655)\/u - 3\/15. Let w = q + -57431\/14. What is the common denominator of 1\/8 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 1, y: 1, p: 1, m: 1, a: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*f - 4, -3*v + 4*f = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420068\/3 + 142330. Let m = j + -2280. Let k = 28 - m. Which is the smallest value? (a) 3\/2 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35461693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.4 - -2.02. Let h = -0.02 + b. Let t = -0.3 - h. Put 1, t, 4 in increasing order.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 10*k + 3. Give n(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 7*s + 1 = 3*s, 2*s + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*t**2 - 2127*t - 1644*t**2 + 2834*t + 2549*t - 2131*t**2 wrt t?\nAnswer: -6986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -183, -173, -147, -99, -23, 87?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7877 (base 14) to base 11.\nAnswer: 25734a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 2, x: 3}. Give prob of picking 3 n and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63102, -126232, -189394, -252600, -315862?\n\"Answer: -2*x**3 - 4*x**2 - 63104*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/5)\/(7\/315). Let l = t - -111. List the prime factors of -147*(l\/(-25) + (-24)\/15).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6 + 0 + (1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 23\/4961?\nAnswer: 29766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f + 37*f + 123*f - 7018 = -218*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014966495 to six decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.91 * -0.3\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 12*l**2 + l - 9. Let j be g(3). Solve -3*i + 8 = 4*s, 0 = -j*s + 24*s + i - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48118281847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 7. Let p(y) = -y**2 - 50*y + 1088. Calculate the remainder when p(13) is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2036*a**2 + 94*a + 14. Let b be m(2). Is 2 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1069 * -4\nAnswer: -4276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 68510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2 = -2*s, 3*s + 8*p + 3 = 3*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205700484?\nAnswer: 2, 3, 11, 141667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 1. Let m(r) = -r**2 + 9. Let q be (-1)\/(3*(-2)\/(-24)). Let a(x) = q*o(x) + m(x). What is the remainder when a(4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1279633\nAnswer: 511853.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g - 4 = q + 74, -4 = -q + 28*g + 17 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22455 and 29385.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45\/4 + -217\/20. Let i = -0.02 + -0.48. Which is the closest to z? (a) i (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 32394*m**2 - 259024*m.\nAnswer: -2*m*(m + 8)*(m + 16189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6553686 divided by -2184562\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 2346.\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from {q: 5, g: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 13*d**4 + 4*d**4)*(118 - 11 + 74).\nAnswer: 3077*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -7*k**4\/24 - 6*k**2 + 15*k. Let i(t) be the first derivative of m(t). Let z(p) = p**2. What is i(z(o))?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 - 369*y - 368 = 0.\nAnswer: -368, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 4 + -2 + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55681706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 9522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.547882 weeks to nanoseconds.\nAnswer: 1540959033600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/756)\/((-1)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 1.8. Let l = j + 133.2. Let x = -128.0053 + l. What is x rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/7 - 1038*n**2\/7 + 882*n - 9234\/7 = 0. What is n?\nAnswer: 3, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*j**3 - 5*j**2 - 25*j**3 - 5*j**2 wrt j.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17184 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -289*r**8\/336 - r**6\/60 + 166*r**5\/15 + r**2 - 220. Find the third derivative of i(m) wrt m.\nAnswer: -17340*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15950018?\nAnswer: 2, 7, 1139287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + u = -379, o - 75 = -5*u + 6. Let k = -30 + 32. Suppose -k*f = -48 - 180. What is the highest common factor of f and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51368502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18341*v**5 + 14352*v**2?\nAnswer: 1100460*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30841961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 1.3. Let d = 0.5 + v. Let i = 0 - 0. Which is the nearest to -0.1? (a) -1 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3889.756l?\nAnswer: 3889756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1682 and 16.\nAnswer: 13456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {i: 4, w: 2, g: 2, f: 3, y: 2, j: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 - 106. Let w(d) = -d**3 + 11*d**2 - 3*d + 16. Does 22 divide w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280097 is divided by 4115.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 13) to base 12.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 13*d + 1. Let w = -24 - -36. Suppose -4*o - 20 = w. Does 12 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 3 (b) -0.3 (c) 0.2 (d) 12 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 94*b**2 + 180*b + 8. Let q be t(45). Let y(h) = -7*h**3 + 6*h - 5. Let s(p) = -11*p**3 + 9*p - 8. What is q*y(u) - 5*s(u)?\nAnswer: -u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7971, 7970, 7969?\n\"Answer: -r + 7972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -562500*-4*16\/(-10). What is n rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 + 3*n**4 - 9*n**3 + 91*n - 26.\nAnswer: 80*n**3 + 36*n**2 - 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2477 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14890 and 1790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(1 + (-175)\/195)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3916973 or -3916972?\nAnswer: -3916973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a0 (base 12) to base 15.\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose -3*a + r = -1. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.72?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140732 + -140729. Find o such that -9\/4*o - 5\/2*o**2 + 0 - 1\/4*o**q = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365586.00008 + -365614. Let o = 28 + n. Round o to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(176\/(-77))*(-20)\/14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33549, 67095, 100641, 134187, 167733, 201279?\nAnswer: 234825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 4*y - 7. Let j(t) = -3*t**2 - 13*t + 22. Let q(c) = 3*j(c) + 8*o(c). Let a be q(-9). Let p = 24 + a. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (4 - 31 - -4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 773*3.5322\nAnswer: 2730.3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 3*n**2 - n**2)*(4 + 0 + 0) + (-2*n + n + 0*n)*(53*n - 8*n - 2*n).\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 1, -10, 9, 0 in increasing order.\nAnswer: -74, -10, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*9\/54*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5 + 12*r**3 - 8*r**2.\nAnswer: -4*r**2*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35944232 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -493621*r*y - 13379*r wrt y.\nAnswer: -493621*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 9*r. Let d be m(8). Suppose -d*k + 9*k = -51. What are the prime factors of (1\/(-3) + -1)\/(2\/k)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -4*g - 0*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4337*a + 1752191. Calculate c(404).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-10))\/(42826\/611800)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 5) in base 2?\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*x**2 + 10791 - 10791 in the form l + u*x**2 + m*x and give u.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106765 is divided by 978.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqp when three letters picked without replacement from qpqqqqqqqqqqq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-20)*(-8)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.145, -75, -1.04?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 52.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1009 = -5*i, -16*g + 20*g = -5*i + 1352. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 1\/5, -8.3, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 4 = 4*r. Let s = -3 - r. Calculate the least common multiple of s and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 9*p**2 - 11*p + 21. Let v be r(-10). Suppose v*s = 34*s. Solve 4*f + 0*f + 20 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 90*o**2 + 18*o - 18. Let l(p) = p**2 + p - 1. What is a(f) - 18*l(f)?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, 3, -42 in decreasing order.\nAnswer: 3, 3\/14, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 3?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142434441 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130192 divided by -1264.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-56))\/((-45)\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 239 (b) -4755 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7553*l = 7519*l + 918 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -944 by -1829.\nAnswer: 16\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 78*u**2 + 77*u + 101. What is f(40)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 66\/54*-3) + 87\/(-117)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0474 - 1458054870?\nAnswer: -1458054869.9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n. Let b(q) = 679695673*q. Determine b(x(d)).\nAnswer: -1359391346*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -209.868 + -0.132. What is the fourth biggest value in 0.1, 2\/19, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -2*u - 24. Let w be 32\/u + 16\/6. Find the third derivative of -m**2 - 10*m**6 + 3*m**2 - 8*m**6 - 13*m**w wrt m.\nAnswer: -2160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 57. Let j(m) = -12*m**2 + 7*m. Let h(p) = 4*p**2 - 2*p. Calculate u*h(i) - 2*j(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223383 and 418.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086907 to the power of 1\/2, to the nearest integer?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Suppose n*s = -0*s, -4*b + 68 = s. Suppose 3*x - 104 = 5*a + 33, 3*x = -a + 149. Calculate the remainder when x is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17168188520 to the nearest 100000.\nAnswer: -17168200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.034 or 2\/53?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.91346 litres to millilitres.\nAnswer: 97913.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80367955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 5*f - 2. Let j = -11 + 14. Let l be i(j). What is the greatest common divisor of 44 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 5 - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11904*z**3 - 8 - 15 + 11907*z**3 + 2*z in the form o*z**2 + f*z + w + i*z**3 and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116291*v + 170 = -2*z - 116293*v, 4*v = 8*z + 644 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from ujtvvttvvvtjcbj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664 = 19*n - 1778 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 7*u**3\/3 - 3*u**2 - 4*u + 4\/3 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 21*h**2 - 13*h + 4. Calculate the remainder when 178 is divided by t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67182790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q + 15 = 0. Suppose 2*n = q*n - 45. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 60. Let g(d) = 2*d**2 + 10*d + 3. Let r be g(v). Suppose j - 3*t = 6, -18 = -r*j - 0*t - 4*t. Do j and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -26. Find the common denominator of -7\/12 and (d\/(-96))\/((-2)\/264).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d**2 - 3*d - 4. Let p(b) = -2*b**2 - 3*b - 1. Let t(q) = -4*p(q) + r(q). Give t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1600 by -5.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - f**3\/6 + f**2\/2 - f. Let q = 27 + -30. Let d(t) = -2 + 0*t + 2*t**2 + t + 4*t. Calculate q*z(l) - d(l).\nAnswer: l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14799 take away -48.1507?\nAnswer: -14750.8493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**2*v**4 - 2*d**2*v + 36*d*v**5 - 58*d*v - 1 wrt v.\nAnswer: -60*d**2*v**2 + 720*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 4*a + 4. Let w = a + 1. Suppose 5*c + 17 - w = 0. Which is greater: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 103 = -a - i - 99, 3*a - 2*i = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.072*-0.028\nAnswer: -0.002016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/38940 and -109\/1140.\nAnswer: 739860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Suppose 4*n = -3*z + 2965, -5*z = -p*n + 961 + 2012. Suppose f - n + 9 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:13 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-4) + (-10)\/(-5). Are 2\/9 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 = 5*i - 1391. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/(-6)*((-1035)\/(-30))\/23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 429 = 5*x + 134, -5*x - 3*t = -270. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58468.\nAnswer: 2, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) 5 (c) 24.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -5 + 100\/12)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135538 or -1355373\/10?\nAnswer: -135538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18608147759362245917.00000307 + 18608147664692583518. Let p = -94669662876 - a. Let d = p + 477. What is d rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/110 + m**4\/11 - 3*m**3\/11 + 29*m. Determine a, given that w(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + 3*d + 9. Let h be s(-5). Let l(b) = -b - 7. Let z(i) = -1. Determine h*z(a) + l(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -406 (base 9) to base 10\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5 + 160862*o**4 + 804327*o**3 + 1286932*o**2 + 643468*o = 0.\nAnswer: -2, -1, 0, 160867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p - 2*p)*((1 - 3 + 3)*(2 + 0 - 1) + 2 + 1 - 1 - 3 + 4 + 0 - 3 + 2 + 3).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -53*o - 318. What is t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/3)*s**(-3)\/s assuming s is positive.\nAnswer: s**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9705 divided by -6?\nAnswer: -3235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 0*k)*(3*k - 4*k + 2*k)*(k + 0*k + k)*(2*k**2 - 3*k**2 - 5*k**2).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 418*f**3 - 7436*f**2 + 7436*f**2 to r*f**2 + z + q*f + m*f**3 and give m.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 6, x: 3, l: 2}. What is prob of sequence ps?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2034.094417286 from 2.\nAnswer: -2032.094417286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10802 - -19303. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (12 - -19) - 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -1\/95555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/17, 0, -5, -2\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*s - j, -11*s + 13*s + 3*j - 21 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2)\/((1\/1)\/3). Suppose 5*q = a*q - 5*r + 67, -3*q - r = -68. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.8716 + -0.1284. Which is the second smallest value? (a) -2\/9 (b) r (c) -0.3 (d) 0 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85760260.\nAnswer: 2, 5, 31, 138323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**7\/280 + y**6\/160 - y**5\/80 - y**4\/32 - 16*y**2. Factor q(z).\nAnswer: 3*z*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -115, -2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 920*c - 135*c + 715*c - 27444 - 3806 - 18*c**2 = 0.\nAnswer: 125\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + (2*sqrt(425) - sqrt(425) - sqrt(425)))*-2*1 + 4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68.195 - -66.5. Let g = -1.7 - n. What is g rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/7 or 2204?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -11. Let f = x + -20. What is the derivative of 1 - 15*g**3 - 7 + f - g**3 wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1080\/661 or -160?\nAnswer: 1080\/661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -273171.\nAnswer: 136585.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 11*p - 1. Let z be i(-10). Let a = 12 - z. Let k(t) = t**3 - 4*t**2 + 6*t - 6. What is the units digit of k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*a - 12. Is 52 - ((a - -2) + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 0*g**2 - 4*g**2)*(4*g - 2*g - 4*g)*(-448 + 448 - 43*g).\nAnswer: 86*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 184\/16 + (4\/(-3) - -1) and 35\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6450*l + 90. Let j be z(-1). What is the greatest common factor of j and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:51 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295748249*g**6 - 244295*g**2 - 695*g.\nAnswer: -35489789880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -806*h + 163 wrt h.\nAnswer: -806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 3*o**2 - 36*o + 2. Let r(l) = 11 + 16 + 7 - 47 + 12. Determine -36*r(y) + w(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-4\/9)))\/(v*(v**(-2\/23)*v)\/v))**28)**(2\/161) assuming v is positive.\nAnswer: v**(-776\/4761)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 43.63. Let k = -0.57 - -0.6. Let q = k - v. Which is the smallest value? (a) q (b) -2\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - 103. Let h = -65 - i. Suppose c + 21 = r + 4*c, -c = -3*r + h. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 50\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14264*d**3 + 4*d - 2 - 2*d**4 + 0*d + d**2 - 14327*d**3 to i*d**4 + m + k*d**3 + v*d**2 + z*d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774 equal to 1775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvj when three letters picked without replacement from {v: 2, j: 3, h: 1, g: 6, p: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 407883858 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 127136 and 305784?\nAnswer: 35470944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/(-146)*2\/16*168\/63?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138636 divided by -6.\nAnswer: 23106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.5 (c) 2 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2465570 by 37.\nAnswer: -2465570\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 + 2. Let u = -1286\/9 - -143. Let n = -5\/9 - u. Which is the third biggest value? (a) m (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-55)*(-50 + 61)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 = 8. Let c(y) = -y - 2 + y + k*y - y. Suppose -4*p + 0 + 12 = 0. What is c(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 11 = 89. Let m = n - 53\/2. Which is greater: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 15. Let n be i(-5). Suppose 3*x + 0*x = -3*y + 21, -7 = 2*y - n*x. Solve 5*m = 9*m + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1090*f**3*p**4 + f**3*p - 9279*f**3 + f**2*p - p**4 - 2*p**2 wrt p.\nAnswer: -13080*f**3*p**2 - 12*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128273531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*k**2*w*z + 3*k**2 + 42*k*w*z - k*z - 5574*w*z - 3*w + 115*z wrt k?\nAnswer: -82*k*w*z + 6*k + 42*w*z - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59661510 and 7.\nAnswer: 417630570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 1877384*f\/3 + 440571335432\/3.\nAnswer: 2*(f - 469346)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040097 rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -83498, -85202, -86906?\n\"Answer: -1704*i - 81794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 6. Let x be (j\/2)\/((-6)\/8). What is the units digit of 4\/8 - 46\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003236 to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -464647\/11 - -42071. Is -170 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -13\/5. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 24*l**2 - 2*l - 1. Let i(c) = 180*c**2 + 17*c - 10. Let p(h) = 89*h**2 + 12*h - 5. Let f(x) = -3*i(x) + 5*p(x). Determine -2*f(v) - 9*q(v).\nAnswer: -26*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109 - 10*y**4 + 11*y**3 + 357 + 38 + 328 wrt y?\nAnswer: -40*y**3 + 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4176 and 8352.\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40322 + -1300102?\nAnswer: -1204230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -2*c, 0 = 5*a + 40*c - 42*c - 21. Solve 2*h = 545*n - 540*n - 16, a*h + 19 = 2*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3339 and 371?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 3*z**2 + 5*z + 1. Let f be t(4). Let i be (-25)\/(-10)*4\/f. Suppose -a + i + 5 = 0. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 24 - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29519598 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -23*u - u**3 - 7 + u**2 - 18*u**2 + 5*u**2. Let c be h(-10). Calculate the greatest common factor of c and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-95))\/(-2)*(-160)\/12.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-90) - (-2 - 283\/(-15)). Sort h, -1, -16 in decreasing order.\nAnswer: -1, -16, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, -32.\nAnswer: -32, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 = 3*p - 2*t, -2*p + 10 = 3*t. What is the remainder when 591 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 929738.29943 - 929797.3. Let j = -59 - k. What is j rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 2 - (71 - 17 - 70)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((sqrt(891) + sqrt(11))*3).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.3. Suppose v = 3*m - m + 7, 2*v + m + 6 = 0. What is the closest to v in 1, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**2 + 71 - 71)*(1 - 2*t - 2 + 2).\nAnswer: -20*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38431080 take away -1306?\nAnswer: -38429774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Let a(x) be the third derivative of -x**5\/10 - x**4\/6 + x**3\/3 - 91*x**2. Let z be a(-1). Sort -2, j, z in increasing order.\nAnswer: -2, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341.5451 minutes in days?\nAnswer: 3.014961875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2, 2*h + 3 = 2*a - 61. Suppose 0 = 3*c - 5*p - a - 4, 4*c = 4*p + 36. What is the remainder when 13 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 31 = -9. Which is smaller: x or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 1:14 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 5*p = 2*d - 2, -3*p = -3*d - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -257.531076 to 1 dp.\nAnswer: -257.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -941, -1417, -1893, -2369?\nAnswer: -2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*o + 439*o + 184 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y + 15. Give a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-330)\/120 + -29.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 y when four letters picked without replacement from {h: 7, j: 2, y: 3}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*i**5 + 0 + 3\/5*i**3 + 0*i + 0*i**2 + 6\/5*i**4 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(612)*1)**2 + sqrt(612) + -5 + -1*sqrt(612) - ((-1*sqrt(612) + 5)**2 - (sqrt(612) + (sqrt(612) - (sqrt(612) + -1 + 4)) + sqrt(612))))*3.\nAnswer: -12951 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184830639*m**4 + 336*m**2 + m - 39906?\nAnswer: -4435935336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 1. Let z(h) = -3*h - 7. Let v be z(-3). Suppose -3*q = 3*y - 66, 0*q + 63 = 3*y + v*q. Let x = y - 18. Calculate g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*r + 122 - 976*r - 340*r - 243 + 121.\nAnswer: -1663*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -142?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4\/7, -0.10175 in descending order.\nAnswer: 6, -0.10175, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**6\/12 + k**5\/5 + k**4\/8 - 1. Let q(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by 213107\nAnswer: 169\/213107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1729 + -1137. Calculate the remainder when (-867)\/(-11) + (-2)\/(-11) is divided by (-30)\/105 - o\/(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.36 + 0.14. Let z = y + -7.50000094. Round z to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 46.3\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22989984*j**2. Let i(d) = 2*d**2. Determine i(q(x)).\nAnswer: 1057078728640512*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13749, 13752, 13755, 13758, 13761, 13764?\n\"Answer: 3*h + 13746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(63) - sqrt(7)) - (sqrt(3) - (1 + sqrt(300) + sqrt(3))).\nAnswer: 1 + 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86435 is divided by 14404?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -19, -17, 5, 10 in increasing order.\nAnswer: -19, -17, -9, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.806202 nanometers?\nAnswer: 0.008806202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(2*6\/(-8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2359.024 - -2376. Let u = 5 - 22. Let t = p + u. What is t rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551602 and 2127.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3)\/((-51)\/(-51))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2949\/13 - -227. What is the second smallest value in -1, w, -1\/9, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -47, 7\/2, -0.1, 0.3.\nAnswer: -47, -2, -0.1, 0.3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 2\/15*p**5 + 0 + 0*p**3 - 2\/15*p**7 + 1\/12*p**4 + 0*p - 85*p**2 + 1\/60*p**6. Find the third derivative of o(i) wrt i.\nAnswer: -672*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -93, -0.33, -0.5, -3, -353\/3?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36 times -0.39\nAnswer: -14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2560 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130205603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59360 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -2*r - r, 4*r + 8 = 0. Let y be j\/(-2)*(-2)\/3. Solve 5*x - y*i = 10, x = 4*x + i - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 4*d**2 + 2*d + 9. What is the remainder when 3 is divided by o(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.09*24.69\nAnswer: -26.9121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4514062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -5)*(-2)\/2. Let k(a) = 5*a + 3. Let j = 10 + -6. What is the smallest common multiple of j and k(i)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26127 - 7693 - 50*j - j**2 - 4686.\nAnswer: -j**2 - 50*j - 38506","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.0482 (c) 7.99 (d) 2\/11 (e) -0.03 (f) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -22*v**2. Let x(y) = -943*y - 161. Let j(u) = 35*u + 6. Let g(w) = 161*j(w) + 6*x(w). Give g(t(m)).\nAnswer: 506*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/7 + 183816*x**2\/7 - 4412880*x\/7 + 26479872\/7 = 0. Calculate x.\nAnswer: -61296, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -222478.212.\nAnswer: -222478.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46818946 and -0.05.\nAnswer: 46818945.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18 - -25) + -4 - -17) + -36 + (9 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-181)\/((-231861)\/122)*(-75)\/20*92\/(-10)?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcwfuee. Give prob of sequence ce.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8545943?\nAnswer: 7, 174407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*((3*(sqrt(304) - (sqrt(304) + 5 + sqrt(304))))**2 + 4).\nAnswer: 720*sqrt(19) + 5930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -7. Let j(y) = y**3 + 6*y**2 + 5*y + 1. Let r be j(v). Let g = r + 11. Solve 0 = -3*m - m - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/164 + 129\/328. Are i and -25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5*f + 11*f, -3*z + 2*f + 16 = 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194385 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-54)\/936*36\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 9*w + 108 = 0. Let d = 17 - 16. Calculate the highest common divisor of d and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 7. Let j be b(-6). Suppose -f - 21 = -4*f - 3*v, -3*v = -9. Find the second derivative of -22*d**f + j - 13*d - 2 + 1 wrt d.\nAnswer: -264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:42 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v - 3*v)*(17*v - 17*v + 11*v**2) - 14*v**3 + 27*v**3 + 20*v**3 + (2 - 2 - v**2)*(3*v - v - v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 5, 3, 2\/7, -35, 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7395*q - 7406*q + 4917 = 0. Calculate the highest common divisor of q and 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(63\/(-7))\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 505*g + 17681. Calculate q(45).\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 11011000?\nAnswer: -11100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 6*x - 2. Let j be 12\/(-30) - (-304)\/10. Let s be (j\/(-25))\/(2\/10). Let u be v(s). Which is smaller: u or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + (-2 - -10))*(-300)\/(-14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:06 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 17 + 60)*(4*u - 4*u + 2*u) to q + x*u and give x.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29367 and 5020?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/((g\/(g*g*(g**10*g*g*g)\/g*g*g))\/g))\/g)*g**(-1\/7)\/g)**33\/(((g\/g**(1\/3))\/g)\/(g*g\/g**1*g))**(-22) assuming g is positive.\nAnswer: g**(-12265\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from bbbwbbbrrbrrrrrbwb.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.377913 times -49.9?\nAnswer: -68.7578587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-4)\/(-28))\/(-1)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - 22*v + 266 = 786 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850856 is divided by 870?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38, -410753, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 22*t + 104 - 57 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x - 1. Let n(c) = -c**3 + 2*c**2 + 4*c - 2. Determine 2*b(a) - n(a).\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7747877 + 7747877 + 9*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + r**2 - 2*r**2 - 5*r**2 + r**2 - 3*r**2 + r**2 + 0 + 0 + r**2 - 2*r**2 + 3*r**2 + (0 + 0 - r)*(-2*r - r + r) as w*r + f*r**2 + t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x - 25. Let u be t(9). Let j = 260 - u. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1211393770 to the nearest one hundred thousand.\nAnswer: -1211400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-4) + 1\/(-2). Suppose -y*t = -3*t - 4. Suppose -m = 2*i - 15, t*i - i - 5 = 0. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 1, z: 2, r: 2}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n)**13*(((n\/n**16)\/n)\/n)\/(n\/(n*(n*(n*n**(4\/11))\/n)\/n)) assuming n is positive.\nAnswer: n**(-612\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128690 and 1070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 980299*s - 1. Let v be j(-1). Round v to the nearest ten thousand.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4915.341 nanograms?\nAnswer: 4.915341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 8 = 2*v, 5*c - 472 = 2*v - 484 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 10*t = -2*s + 8, 3*t - 16 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 6540*o - 5346450.\nAnswer: -2*(o + 1635)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = 11. Suppose n*f + 33608148 = 11408148. Round f to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95 or 742?\nAnswer: 742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6 - 1\/2. Suppose -x = -5*r - 10, 5*x + 2*r - 3 = 4*x. Let k be (-5)\/(5 + h - x). Solve 3*o - u - 5 = o, k*u = -25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 0*j - j**2 + 4*j**2. Suppose 0 = 3*s - 15, 0 = 8*k - 12*k - s + 33. Let u(i) = -5*i**2 + 5*i - 1. Let a(y) = k*l(y) + 4*u(y). Determine a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 41*i**2 + 536*i + 4812. Calculate a(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 221+53.8912\nAnswer: 274.8912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386725546*h*v**2 + h - 91303054*v wrt v?\nAnswer: 773451092*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.064 decades in years?\nAnswer: 9670.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093499 a multiple of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*(93\/(-2) - 8). Suppose f + h = 355. List the prime factors of f.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 169.6. Let d = -79\/3 - -27. Which is the nearest to d? (a) 4 (b) f (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4363, -4291, -4229, -4183, -4159?\nAnswer: -4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) -164 (b) 5 (c) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42756.4 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -971, -158.7, 2\/13, 5, 2.\nAnswer: -971, -158.7, 2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 4.03. Suppose 2*o = -5*w + 9, 3*w + 5*o = -3 - 3. Let g be ((-2)\/(-3))\/(32\/(-16)). What is the nearest to -0.1 in g, l, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47b58 - 0?\nAnswer: -47b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4270\/3 - -1426. Suppose 10\/3*z**2 + t - 8*z = 0. Calculate z.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141624 (base 7) to base 16.\nAnswer: -69ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**4\/4 + o**3\/3 - o**2\/2 + 4*o - 4. Give k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - p**3 + 0 - 3)*(-2 + 2 + 3*p) + 3*p**4 - 2*p**4 - 3*p**4.\nAnswer: -5*p**4 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 16120?\nAnswer: 177320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -12, 4?\n\"Answer: 16*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000010010111 - 10000010110?\nAnswer: -1001010010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*h - 10, 0 = -s + 2*h - 2. Suppose -2*q - s = -3*q. What is the third derivative of -4*t**3 + 5*t**2 - 3*t**q + 4*t**3 + 4*t**4 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -556 (base 7) to base 11\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 4*-1 - 3. Sort -5, m, -4 in increasing order.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 139. Let l(g) be the first derivative of -5*g**2\/2 - 517. Determine l(s(b)).\nAnswer: -15*b**2 - 695","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 9*t + 10. What is the lowest common multiple of y(-9) and (-4)\/(-14) + (-78)\/(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -12 - (6 - (41 - 6 - 0))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3080 and 14.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/590119979 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 257503?\nAnswer: 17\/257503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let r(d) = 3*d + 4. Let u be r(z). Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123927 and 3333.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72436, 289596, 651482, 1158094, 1809432, 2605496, 3546286?\nAnswer: 4631802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -274*-0.1\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3484.49 - 3457. Let i = 0.51 + y. Sort i, -2, 2 in increasing order.\nAnswer: -2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqqnrqbqrnlr. What is prob of picking 1 b, 1 a, and 1 l?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.2 + 0.4. Let m = 7.681 - l. What is m rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2))**(8\/5)\/(t**2)**(22\/5))**49 assuming t is positive.\nAnswer: t**(-2352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:04 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14327 (base 10) in base 15?\nAnswer: -43a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlf when three letters picked without replacement from llrlflrlrr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -146*1\/2 + 0. Let q = 62 + m. Let x = q - -15. What is the third biggest value in -3\/7, 2\/25, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6*z = 2*p + 16, 0 = 3*z - 4*p - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3276)\/(-22113))\/(3\/(-216))?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/16, -3, -5, 3 in decreasing order.\nAnswer: 3, 3\/16, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssgdjsis. Give prob of sequence sssg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u - 27 = -3*b, 5*b - 40 = 5*u. Solve 10 = b*r, -5 = -n - 8*r + 3*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (38 - (-24 + (24 - -27)) - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -62. Solve 0 = -y + 5*y + r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18368\/192 - (0 - (-15)\/9). Let b = 463 + g. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1043, -2095, -3147, -4199, -5251?\n\"Answer: -1052*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50627 - -1.\nAnswer: -50626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 + 3314*m**3 - 108527*m**2 + 833926*m - 1811112 = 0. What is m?\nAnswer: 4, 6, 23, 3281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -460, -12\/397, 0.002 in increasing order.\nAnswer: -460, -12\/397, 0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = 0, 0 = v - 2*m - 21 + 3. Let s(n) = n**3 + 4*n**2 - 7*n - 3. What is the remainder when v is divided by s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*y + 5 - 2 - 486*y**2 + 487*y**2)*(y - 2 + 2) in the form h*y + c*y**2 + q*y**3 + f and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7169 in -0.03, -43, -4, 0.5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 37*l**2 + 5*l + 1. What is s(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 521.640929 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3457 (base 13) to base 4\nAnswer: -1302223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7458 and 231.\nAnswer: 52206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59c38d + 4?\nAnswer: -59c389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 110*n + 1067. What is s(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 90779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18494.0038 - -18513. Let u = p - 19. Round u to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 18. Let r(c) = -120*c + 3. Let t be r(b). What is the highest common divisor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)*(i*i**(1\/6)*i)\/i)**(-39) assuming i is positive.\nAnswer: i**(-2249\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -945 in -2\/9, 5, 343, -0.2, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 - (5 - 8 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 5*q. Let n be v(-5). Suppose n*b = -4*b + 80. Calculate the highest common factor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0704158 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3987 - -11656. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(-207) + 157*(-44)\/(-18). Suppose -3*r + 5*r = v. Suppose 3*i + 2*w + w = r, -68 = -i + 3*w. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11831*w**2 - 12482*w**2 + 21110*w**2.\nAnswer: -3203*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20649*g + 20649*g - 10981*g**3 - 7625 with respect to g.\nAnswer: -32943*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 2. Let f(b) = 1. Let a(q) = q + 1. Let g(k) = -2*a(k) + f(k). What is 8*g(t) - 5*y(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.599 and 5.3?\nAnswer: 4.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19218\/13 + -1478. Suppose 4*a + 9 = -5*z, -3*z - a = 3*a + 7. Is r <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/(176\/(-264))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100608 or -1533?\nAnswer: -100608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w + 4*b - 16, 3*w - 2 = 2*b. Solve -5*m = -4*c - 29, -w*c - 30 = -5*m + 3*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i - 5\/2*i**4 + 2 + 0*i**3 - 2*i**2. Find the second derivative of z(o) wrt o.\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 7*x - 2*x)*(17 - 17 + 6*x**2) + 2*x**3 - x**3 + 0*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*z - 33, -z + 36 = 2*l + 3*z. What is the least common multiple of 46 and l?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-4)\/(-6))*192\/(-8). Let a(o) = o - 3. What is a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**4 - 5*a**3 + 8*a + 5. Let d(z) = 5*z - 4*z - z**3 + 0*z**2 + 1 + 0*z**2. Let r(p) = -5*d(p) + o(p). What is the second derivative of r(m) wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:50 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53\/5 - 9\/15 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnrrrrrrr. Give prob of picking 1 r, 1 n, and 1 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5515037992.\nAnswer: 2, 127, 5428187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15082\/7 or 2156?\nAnswer: 15082\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37, -39, -39, -37?\n\"Answer: z**2 - 5*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -1109988.\nAnswer: -1109988.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9546 is divided by 64?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*b = 124, -2*b + 124 = y + 3*b. Suppose 0 = -147*i + 161*i - 602. What is the remainder when y is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -27. Suppose -3 = -2*p - 2*o + 5, -4*p = 5*o - 19. Sort p, -4, v.\nAnswer: -4, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 2622?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3477665075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 21*p - 97. Calculate the remainder when 207 is divided by k(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4661 and -1.5.\nAnswer: -6991.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + -5.2. Let c = z + 6.5. Let a = -2.6 + c. Round a to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 6 (b) -4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 4*q**2 - 2*q + 6. Let l(i) = 2*i**3 - 3*i**2 - 2*i + 5. Let r = 9 - 5. Determine r*l(o) - 3*g(o).\nAnswer: 2*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 7*z + 1096. Sort 3, -2, z in decreasing order.\nAnswer: 3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337890.9 rounded to the nearest 1000?\nAnswer: -338000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 3, f: 7, q: 1}. Give prob of picking 2 s and 1 w.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + -37 + -1 + -1 + (-4991 - -4994)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/80 - -4 - 4\/8*4\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/51 + (-6)\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10797099 not equal to -43188399\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4.8. Let o = 4.6 + -4.2. Which is the nearest to 1? (a) o (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78400 is divided by 11199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 102820.088 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204300230 (base 5) to base 13.\nAnswer: -23b460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s**2 - 94*s - 1660. Let o(c) = c**2 + c + 1. Let v(t) = 2*k(t) - 44*o(t). Let v(b) = 0. Calculate b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 64, 68, 72, 76, 80?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 68?\nAnswer: -75\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxtxxxan. What is prob of sequence ta?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 44*w**3 + w - 66*w**3 + 17*w**4 + 20*w**3 as g*w**3 + y + r*w + u*w**4 + f*w**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22946125, 22946121, 22946117, 22946113, 22946109, 22946105?\n\"Answer: -4*i + 22946129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 - -5)) + -495 + 525.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 + i**4\/4 - 5*i**3\/6 + i**2\/2 + i. Let w(q) = q - 2. Let v be w(-2). What are the prime factors of l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 37*n + 223 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(0 + sqrt(20)) + (sqrt(180)\/sqrt(3))\/sqrt(12)*-6 + 4 + 4 + 5)**2 + 4.\nAnswer: -1872*sqrt(5) + 7160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2337*c**4 + 10623*c.\nAnswer: -28044*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*w - 39*w - 43*w + (-4 + 4 + w)*(6 - 2 - 3).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.6 and -111\/164 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2834611 + -3665389. What is n rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22054 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 160630 and -8552.\nAnswer: 152078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 64*y**2 - 64*y + 78. What is the smallest common multiple of r(63) and 1116?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1660 + 1837. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 17*u**2 + 12. Let h(t) = 3*t**2 + 2. Let g(p) = 6*h(p) - i(p). Let n(b) = -1314*b**2. What is g(n(v))?\nAnswer: 1726596*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 3*k + 19, 3*x = 2*k + 16. Solve -78 - x*z**3 + 78 - 2*z**2 = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.965 - 0.035. Let f = c - -1. What is the third smallest value in 3, f, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 8, 16, 26?\n\"Answer: z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*p**4 + 13537432*p**3 - 12116*p**2 - 1992*p wrt p?\nAnswer: -672*p + 81224592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*v + 17*v**2 - 18*v**2 - 98*v)*((0 + 0 + 2*v + (1 + 1 + 1)*(-3 + 3 + 3*v))*(-3 + 2 + 0) + (4 - 1 - 5)*(0*v - 5*v + 3*v)).\nAnswer: 7*v**3 + 70*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + q**3 + 0 + 0 - 1 + 5*q**2. Let f(g) = g + 5. Let x be f(-4). Let y(a) = -a**2 + 1. Determine x*y(p) + o(p).\nAnswer: p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -1.2. Suppose -5*w + w + 20 = 0. Suppose -2*t - 2*r + 2 = 0, t + w = 4*t + r. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/(-2 - -18)). Suppose 1 = u + 2*o + s, 5*u - 2*o = 1. Let f = 252 + -4282\/17. Which is the second biggest value? (a) u (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 245*x + 241*x + 4, -2*x + 2 = 2*d. What is the nearest to d in 30, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0\/3 + 2). Are w and -7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let s(c) = -c + 1. Let g(f) = -60*f + 50. Let u(n) = -g(n) + 50*s(n). What is o(u(a))?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + (sqrt(77)*-1*-4 - sqrt(77))))\/(sqrt(14)\/(sqrt(10)\/(sqrt(5)*5))).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from {o: 14, t: 5}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 1181*j**3 - 2719*j**2\/2 - j - 5962. What is the second derivative of i(b) wrt b?\nAnswer: 7086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-405)\/(-10))\/9)\/(36\/(-168))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7784 and -145\/23352.\nAnswer: 23352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 350*l**2 - 280*l**2 - 330*l**2 - l**2 + 4 - 4 + (l - 5*l + 3*l)*(-3*l + 0*l + l) + (-3 + 3 - 2*l)*(0*l - 3*l + 4*l).\nAnswer: -261*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 5*s**4\/8 - 7*s**3\/3 - 3*s**2. What is the first derivative of a(g) wrt g?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23310 and 16627800?\nAnswer: 49883400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 25*m - 157. Let f be n(7). Solve -3*q + 81*p - 77*p = -f, 5*q - 7 = -p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(1870\/119))\/(8\/60)*48\/14?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/160*(-74 + 6)\/2 and -103\/36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.5 (c) -1394\/11 (d) -0.1142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 9*s - 60. Calculate h(10).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175510856 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11683*p + 1106. Does 27 divide v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -1, -0.1683, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2127982, 8511892, 19151734, 34047502, 53199190, 76606792?\nAnswer: 104270302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**3 + 3*p**2 + 5*p + 8. Calculate q(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/15, -9, 2.3 in ascending order.\nAnswer: -9, -2, 4\/15, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (71 + 13)\/(-6) + -11. Which is greater: -21 or o?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 376928*v + 35518679296 = 0. What is v?\nAnswer: 188464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 2, c: 3}. What is prob of picking 1 c, 2 j, and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03244 and -0.4?\nAnswer: -0.012976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}