{"text":"Question: Let d be (-8)\/28 - (-104565)\/21. Let h = d - 59795\/12. Let k = -30743\/18 + 1710. Calculate the common denominator of k and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 325 divide 75400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**2 - 17*u + 10. Let x be p(-13). Suppose -v - 4*b = -24, -4*v - 2*b = -v - x. Calculate the highest common divisor of 80 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of m**3*n**4 + 4*m**3*n**2 + 33*m**2*n**4 - 133*m**2*n**2 wrt n?\nAnswer: 24*m**3*n + 792*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-250)\/4)\/((2 - 12)\/323200). What is o rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12 - -21. Suppose i = -2*i + c. Solve 5*w = -3*t - 0*t - 16, 5*t = i*w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 187.7307 and -251.\nAnswer: -63.2693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let -3*f**3 - 4035*f**2 + 310911*f - 5827833 = 0. What is f?\nAnswer: -1419, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 2*d**3 + 8*d**2 + 4*d - 10. Let l be k(1). Factor 3*b**l - 4\/3*b**5 + 1\/3*b**2 - 2*b**3 + 0*b + 0.\nAnswer: -b**2*(b - 1)**2*(4*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 7*l**2 + 6*l - 5. Let j be h(6). Let s = j + 31. Suppose 0 = -3*q - 2*k + 91, 5*k = -q - 0*k + s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 122025, 244034, 366043, 488052, 610061?\nAnswer: 732070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -358632 divided by 204?\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-8)\/(-3)*(-15)\/(-2). Suppose 3*c + m = -2*c. What are the prime factors of c\/18 - 1280\/(-90)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i + 900 = -2*i. Let g = 340 - i. Suppose -g = -4*t - 52. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15348945 is divided by 126.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 106089, 424524, 955251, 1698270, 2653581, 3821184?\nAnswer: 5201079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1033333 is divided by 17816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 204166825?\nAnswer: 5, 47, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00006000476 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cececcaceccccccccaae. What is prob of picking 2 e and 2 a?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, t: 2, s: 3}. What is prob of picking 1 t, 2 a, and 1 s?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -123\/4087888 and -9\/38420?\nAnswer: 20439440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20601 is divided by 492?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 1) + -8 - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((z - 2*z - z)*(0*z**3 - z**3 + 2*z**3) - z**4 - 3*z**4 + 5*z**4)*(4 + 1 - 2) + 30 - 30 - 12*z**4 to b*z + d*z**2 + l*z**4 + n + o*z**3 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2142155852?\nAnswer: 2, 6803, 78721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -13 (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(2\/3)*k*k)**44)**(-14) assuming k is positive.\nAnswer: k**(-4928\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 5*c - 3*y, -5*y = -4*c - 26 + 6. Let g(m) = -2*m**2 + 10*m + c*m**2 + m**2 + 6. What is the units digit of g(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 4, -1, 8578?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l*l*l**19))\/(l\/(l**(-2\/5)\/l)))\/(l\/(l*l**(-2\/15)*l)*(l\/l**(-2\/7))\/l*l))**(-26) assuming l is positive.\nAnswer: l**(62296\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15320*m**4 - 20688*m**2 wrt m?\nAnswer: 367680*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 610*d**3*m**2 - 129481*d**3 + 555*d*m**3 wrt m.\nAnswer: 1220*d**3*m + 1665*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*4*(3 + -3*sqrt(76))*-5)**2.\nAnswer: -57600*sqrt(19) + 1108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -r - 3*o + 4*o + 7, -21 = -5*r - 2*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 4:21 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + x - 6*x - 4*x = -24 - 45, -18*x + 179 = r + 8*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 64979390, 64979384, 64979374, 64979360, 64979342, 64979320?\n\"Answer: -2*q**2 + 64979392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4396*-15.\nAnswer: -65940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 36 - 17. Suppose 5*s + p = 4. Suppose -4*r + 1 = 2*z + 3, -z - 5*r - 1 = 0. Sort -5, s, z in decreasing order.\nAnswer: z, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 4 - ((1 - 6) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.032 * -0.0094618\nAnswer: -0.0003027776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931) + 1)*2.\nAnswer: 2 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 410\/492 - 7\/(-42). Suppose 14 = -4*h - 14. Put h, t, -2 in descending order.\nAnswer: t, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kknkqnqknnkkkck. Give prob of sequence nnq.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 3*y = -104, -2*y = -530 + 522. Which is smaller: g or 56?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*b**4 + 13*b**2 + 2*b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j - 4*u + 86, -4 = u - 8. Suppose 60*w - j*w = -50. Sort -6, -2, w.\nAnswer: -6, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-7\/5)\/h**14)\/(h*h**(-6)*h*h)**(-20) assuming h is positive.\nAnswer: h**(-377\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 1. What is the units digit of h - (3 + -9 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 4 + 1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 257534 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*m = 2*i - 106*m - 62, 62 = -14*i + 3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 17 = a - 2*c, -3 = -a + 3*c. Suppose -a = t - 1. Let l = t + 12. Calculate the lowest common multiple of 6 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 385*x - 546*x + 79178 = -832*x for x.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**2 + 3*a - 3*a + (3*a + 2*a - 6*a)*(-3*a + 5*a - 4*a))*(-2 + 0 + 1)*(-1 - 2 + 6).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -65441 * -0.1\nAnswer: 6544.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 9 = 1819*s - 1816*s, 0 = -5*d + 8*s - 24. Solve 0*m**2 + 0 - 1\/4*m**4 + d*m + 7\/4*m**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0074725041 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 421 (base 5) to base 9\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 8829*n + 10 = 8831*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 0 + -4 + (2 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 2*u = 774, -5*j = -0*j - 2*u - 972. Is j at most 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 7*a - 20. Suppose a*o = -3*t - 2 + 27, -3*o - 2*t + 16 = 0. Factor -v**5 - o*v**5 - 4*v + v**2 + 3 + 6*v**3 + 3*v**4 - 7*v**2 + v.\nAnswer: -3*(v - 1)**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 196 and 19530763.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*t - 2*t. Let v = t - -6. Suppose 0 = 3*m - 0*f + v*f + 4800010, 4*f + 6400020 = -4*m. What is m rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*v = 99*v - 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**2 + 24*j - 15. Let u = 196 - 176. Does 4 divide r(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 1)*(2*g**3 + 0*g + 0*g + (g + 0*g + 2*g)*(-3*g**2 - 2*g + 2*g) + g**2 - g**2 + 3*g**3 + 0*g**3 + 3*g**3 - g**3 - 7*g**3 + 15*g**3 + g**3).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 490*v + 258 + 489*v + 476*v - 1470*v. Let j be z(17). Solve -2*t - j*t = 4*g - 20, 4 = -2*g + t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-9)*k*k**(-14)*(k*(k\/k**(-11))\/k)\/k**(3\/2) assuming k is positive.\nAnswer: k**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 2*t = -13 + 5, 2*p = -3*t + 4. Solve -1 = p*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j\/(j*(j\/(j\/((j\/((j*j**(-2))\/j))\/j)))\/j)*j*j)**(-13\/5))**(-47)\/((j**4*j*j*j)\/(j\/j**(-1))*(j**2)**(28\/3)) assuming j is positive.\nAnswer: j**(3311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 0 + 1)*(-1 + 1 + b) + 0*b + 0*b - 2*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34*n - 19*n - 19*n + 6 to the form h*n + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -11821807*k**2 - 515*k + 4*k**4 + 324 - 80*k**3 + 11822279*k**2 - 205*k.\nAnswer: 4*(k - 9)**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 260325.\nAnswer: 3, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1442 - 413314?\nAnswer: -411432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from csscpcpppcpssccn. What is prob of sequence ps?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*i + 175 = -33*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 1594879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 55 + -387\/7. Let x be (1*-2)\/(2 + 0). Let h be (2 - (-33)\/(-21))*x. Sort h, t, 0.5.\nAnswer: h, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 43258760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*j = 2*q - 11*j - 118, 85*q + 22*j = 87*q - 136 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 10*q**3 + 2*q**2 - 3*q + 5. Let p(a) be the second derivative of 0 - 11\/2*a**2 - 21\/20*a**5 + 75*a + 7\/6*a**3 - 1\/3*a**4. What is -3*p(y) - 7*w(y)?\nAnswer: -7*y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -147, 3, -5, 4 in decreasing order.\nAnswer: 4, 3, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -463 - -467. List the prime factors of (w - 8) + 3 + 958.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 226 a factor of 1293427154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.03? (a) -6 (b) 0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 947 (base 11) to base 5\nAnswer: 14030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 235329 and 9318027.\nAnswer: 5007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 11 - 190223034\nAnswer: -190223023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from znnchtvz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2663 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 4*v**2 - 3*v + 2. Let l be t(1). Solve -4*c + 9 = -3*q - 0*q, c = l*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**10*f**(-1\/3))**42\/((f\/(f**(-2\/7)\/f))**(2\/43)\/((f*f*f**(-1)*f*f)\/f)**(-14\/13)) assuming f is positive.\nAnswer: f**(1579834\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -78 + 36. Let n = u + 42.4. Which is the nearest to -4? (a) n (b) -2\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of 3*l**5\/5 - 6*l**4 + 13*l**3 - 9*l**2 - 578. Factor q(h).\nAnswer: 3*h*(h - 6)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*a - 1005 = 5*a. Suppose 3*s + 340 = -2*u, -5*u + 116 = 2*s + 350. Let m = a + s. What is the least common multiple of m and 6?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 42 = 58. Let x = 58 + n. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15771585 or 15771589?\nAnswer: 15771585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*a**4*f - 52*a**3 - 2*a*f - 216*f wrt a?\nAnswer: 8*a**3*f - 156*a**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -14*o**5\/11 + 8102*o**4\/11 - 520766*o**3\/11 + 9077738*o**2\/11 - 6075860*o\/11 - 2489200\/11 = 0.\nAnswer: -2\/7, 1, 35, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -10*p**2 + 95*p**2 - 5 + 5 as c*p**2 + y*p + x and give c.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**2 - 4*p + 7. Let a be z(3). Let c(v) = -v - 4. Let g be c(-7). Differentiate 19 + 5*r**g + 18 - 5*r**3 + 3*r**a wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 0.1 (c) 1\/71 (d) 32 (e) 5 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 18?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52 - 3 - 332*a + 362*a.\nAnswer: 30*a - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9\/22 and 11\/23766.\nAnswer: 261426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*l + 13*l - 525 = -29*l. Suppose -5 = -5*n + 5. Solve n*o - 1 = l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1545089 by -16979.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of s**4 - 62*s**3 + 22353*s**2 - 3113*s + 1862 wrt s.\nAnswer: 12*s**2 - 372*s + 44706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from sspyvmyq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*-0.0161.\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of -2*c**2 + 21*c + 6. What is the lowest common multiple of w(0) and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 7, o: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1472181607 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = -5*y + p, -5*y + 7*p = 3*p + 34. Let r be (1 + -1)*5\/y. Suppose r*x - 7 = -x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l**(1\/6)\/l))\/l**(-2\/23))**(11\/3) assuming l is positive.\nAnswer: l**(2915\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zk when two letters picked without replacement from fsskszt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190886 is divided by 5016.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 - b**2 - 161*b + 17. Give j(13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -5\/3 (b) 0 (c) -29573 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000104012869 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7894 + -7894. Solve 3*a - 2*a = -q, -q + 2*a = r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 + 37*r**2 + 45*r + 79. List the prime factors of j(-35).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**3 - 30*u**2 + 7*u - 36. Calculate v(-30).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.06? (a) -2\/15 (b) 1\/4 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 78*n**2 - 27. Let f(b) = 59*b + 15. Determine y(f(x)).\nAnswer: 271518*x**2 + 138060*x + 17523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/(-6)*-2 - (-560)\/15. Solve 5*z - k = -5*f - 12, 21 = 5*z + f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 21*z**2 + 139*z - 592. What is y(-6)?\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-3*(-265)\/(-495))\/(35\/7) and 1\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of m**4\/6 - 58*m**3\/3 + 841*m**2 - m - 9. Suppose t(l) = 0. What is l?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1920 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 6 = -8*g. Let y(s) = -411 - 2*s + 411 + 2*s - s**g. Let p(j) = 9*j + 7. Let d(r) = -8*r - 6. Let v(l) = 7*d(l) + 6*p(l). Calculate y(v(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -7.9 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -53 - -91. What is the common denominator of 48\/5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 - 543306.691562?\nAnswer: -543266.691562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00016786651418 rounded to 6 dps?\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 12*p**2 + 2*p + 1. Let l(n) = -2*n + 6*n - 1 + 3*n + 8*n**2 + n**3. Let s be l(-7). Is a(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6 + -484c69?\nAnswer: -484c63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2119\/6 - -357. Find the common denominator of -64\/15 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14\/20 + (-2 - 2)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/45*(-185)\/(-296)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-26)\/(-10) + -3)\/(-1). Let w be 47129\/102 - 4\/24. Let o = -462 + w. Which is the biggest value? (a) -0.2 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 4, e: 14}. Give prob of sequence gee.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((32\/10)\/((-75)\/125) - -5)*-78. Solve -w*x = -21*x + 5, -x = 5*n - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -845 + 473. Let q = -302 - a. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2\/5, 2, -0.2.\nAnswer: -0.2, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 101020 (base 3) to base 2\nAnswer: 100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (32*t**3 - 32*t**3 - 17*t**4)*(t - t - 2*t + (6*t + 2*t - 2*t)*(-7 + 1 + 2)).\nAnswer: 442*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 627948, 627912, 627852, 627768, 627660, 627528?\n\"Answer: -12*f**2 + 627960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-144)\/20)\/(-3)*(-109)\/327*75\/130?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*(j*j**1\/j)\/j*j)**(-1\/17))**(-3))**(-40) assuming j is positive.\nAnswer: j**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -17247409*d**3 + 17421835*d**2 - 174867*d + 441.\nAnswer: -(d - 1)*(4153*d - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.73 - 0.21. Let d = 4 - 4.06. Let r = g + d. Which is the nearest to -0.1? (a) r (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + 1202020?\nAnswer: 1202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -331 by 227969.\nAnswer: -331\/227969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 171 minutes after 1:07 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/(x*x**(-2))*x)\/x)\/(x*x**(-2\/23)*x))\/(x**(-5)\/(x\/x**(-7)))*(x\/x**6*x**(-4))\/(x**(-2\/5))**(-3\/7) assuming x is positive.\nAnswer: x**(3152\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, -1, -2148, -269.6 in descending order.\nAnswer: -1\/6, -1, -269.6, -2148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 3:40 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (0 - (10 - 9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/960232 and 115\/918024?\nAnswer: 83540184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -56.925836 to two dps.\nAnswer: -56.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*s + 9*s + 7*s - s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1))**(1\/16)\/(t**(2\/9))**(-25\/6) assuming t is positive.\nAnswer: t**(373\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-2*sqrt(672) + -2*(2*sqrt(42) - sqrt(42)))\/((sqrt(6) + sqrt(36)\/(sqrt(30)\/sqrt(5)))*1) + -1.\nAnswer: -5*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**0)**(21\/2)*(g*g*g**3*g)\/g**6)\/((((g\/g**0*g)\/g)\/g)**13)**(-1\/65) assuming g is positive.\nAnswer: g**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 6738287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 2*a = -80. Let f be 6\/(-3)*(-21)\/(-14). Let s be (8 + 3\/f)*12\/28. Solve 0 = -w - s*w + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) -4\/3 (c) 55 (d) -5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12 is divided by 0\/3 - (2 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i - 3*i**2 + 0*i)*(0 - 4 + 1) - 156*i**2 + 346*i**2 - 150*i**2.\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 6 = 4, 0 = g - 5*v - 27 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -16a73 (base 11) in base 7?\nAnswer: -126505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 3*g + 585 = 185, 2*p = -4*g + 222. List the prime factors of p.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {f: 3, w: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 8*d**2. Let r(v) = -2*v**3 + 10*v**2 + v - 3. Let b be r(5). Let f(j) = 18 - 18 - b*j. What is u(f(t))?\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59618?\nAnswer: 2, 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7*d*o**4 - d*o**2 - 394*d - 4*o**3 - 1 wrt o.\nAnswer: 28*d*o**3 - 2*d*o - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the first derivative of 7*u**4\/18 - 220*u**3\/27 + 73*u**2\/9 + 20*u\/3 + 3046. Factor i(g).\nAnswer: 2*(g - 15)*(g - 1)*(7*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21 - -1001022?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -79847382*h**2 + 2843294*h + 39 wrt h.\nAnswer: -159694764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 416 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.82 times -0.1\nAnswer: 0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllllll. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 30 = -d. Let n be d\/8 - (-7)\/28. Put 2, -2\/15, n in descending order.\nAnswer: n, 2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 11, n: 5}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 48*v**4 + 2*v**3 + 147*v**2 + 23208.\nAnswer: 192*v**3 + 6*v**2 + 294*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6798, -9113, -11444, -13797, -16178, -18593?\n\"Answer: -n**3 - 2*n**2 - 2302*n - 4493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose -45*p + 3332 = 632. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w - 5. Let r be 0 - (-1 + 3\/(-1)). Let y be b(r). Put 0, y, 1 in increasing order.\nAnswer: 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 - -27. Let s(l) = 2*l**2 - 200*l + 600. Let h be s(97). Calculate the greatest common divisor of h and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -2*l**2 + 10*l + 6. Let f = -21797 + 21797. What is d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -969.7 + 1019. Let g = x + -49.4. Which is the third smallest value? (a) -3 (b) 3\/2 (c) g (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 220151 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1309 - -1093. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1889 + 0?\nAnswer: -1889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -174 + 179. Let l be ((-207)\/45 + p)*10\/(-16). Let r = 13 - 8. Which is the closest to l? (a) 0.1 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 2643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((5920\/(-25))\/(-8))\/(-5 + 3843\/765). Calculate the greatest common divisor of s and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 32 = 6*u. Let f = u - -7. Let c(y) = -y**2 + 4*y + 4. Let x(z) = z**2 - 5*z - 5. Let s(v) = 6*c(v) + 5*x(v). Calculate s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2736376.\nAnswer: 2, 342047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 384708*q**2\/7 - 4*q\/7 = 0.\nAnswer: 0, 1\/96177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**2\/7 + 275812*y\/7 - 131468160\/7.\nAnswer: -4*(y - 68473)*(y - 480)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -348*w = -310*w - 48 - 256 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = 150 - 46. Let v = o - -7. Let z = v + 44. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -29cc - 315d?\nAnswer: -5b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.2+-29895440711173\nAnswer: -29895440711173.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 16558.34 years in millennia?\nAnswer: 16.55834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-39 + 39 - 13*u)*(-2 - 1 + 1)*(33*u**4 - 8*u**4 - 12*u**4).\nAnswer: 338*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iew when three letters picked without replacement from {l: 1, i: 1, w: 3, e: 7}.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) + -2*sqrt(121)*6 + sqrt(121))\/(3*-1*sqrt(11)))**2.\nAnswer: 1100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002258 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 71202 and 2.\nAnswer: 71202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes before 2:10 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31 + 36. What is the third smallest value in 0.1, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, g: 2, k: 4, d: 6}. Give prob of picking 1 g, 1 m, and 1 k.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of -r**5\/60 + 3625*r**2. Let v(x) = 617*x**2. Determine v(m(f)).\nAnswer: 617*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 43 + 13. Let f be 5\/2*36\/t. Solve -f = 4*v + 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mxmsxxssmmmms. Give prob of sequence smx.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = k - 6. Suppose 93*s + 546 + 134 = 178*s. Solve -k*t - s = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2277431 hours in nanoseconds?\nAnswer: 819875160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.96938 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 39 by 2895134.\nAnswer: 39\/2895134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 5*j - 75 + 9 = 0, -j - 44 = 2*r. Let c = r + 36. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 5482*d - 10963*d + 5474*d.\nAnswer: -7*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 - 19 = 3*z. Let k(g) = 8*g**2 + 3*g + z + 0*g - 1 - g. What is k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -87\/7 + 90\/7. Which is the closest to 0.4? (a) 3 (b) 0 (c) z (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (181*t**2 - 93*t**2 - 96*t**2)*(-14 + 5*t - 4*t + 13) - 3*t**3 + t**3 - 15*t**3 to y*t**2 + w + g*t**3 + f*t and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -66 + (1691 - 1659).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*r = -36*r - 108. Suppose 4*i = 8*i - r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 143*(-819)\/(-95172) - 5\/4\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/820821 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 13\/3*v**2 + 1\/6*v**3 + 25\/6*v.\nAnswer: v*(v + 1)*(v + 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(3\/2)\/v*v\/((v\/(v*v\/v**1)*v)\/v)*v**(-1)*v*v\/(v\/(v*v*v\/(v\/v**5)*v)*v*v) assuming v is positive.\nAnswer: v**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 192975*v**3 + 8*v**2 - 1879*v + 32 wrt v?\nAnswer: 1157850*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2\/11, -1\/4, -2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + w**2 + 3 - 5)*(-19*w + 13*w + 8*w) in the form j*w + l*w**2 + n*w**3 + u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 120 + -29. Let q be (i\/224)\/((-5)\/4). Let k = 807\/40 - q. Calculate the common denominator of k and -99\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -3*c**2 + 12. Let q be n(5). Let o = 63 + q. Let a be (0 + o + 6)\/((-30)\/(-20)). Put 1, 0, -5, a in ascending order.\nAnswer: -5, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -391*z**2 - 17802 + 16495*z + 21952*z - 2858 + z**3 - 32*z - 17365 = 0.\nAnswer: 1, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -58912 + 4?\nAnswer: -5890b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -30) + -14 + -39.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 411695255?\nAnswer: 5, 53, 1553567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j**4 + 2 - 2)*(-3 + 3 + 18).\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 AM and 12:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 13 = -x - 7*q, -4*q + 8 = 0. Suppose x*y + 11 = -4. Let u(a) = -a**3 - 4*a**2 + 3*a - 7. Calculate u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2082 + -2083. Are l and 3168 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -222480 or -222477?\nAnswer: -222480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 133328a (base 14) in base 4?\nAnswer: 203112130322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 5}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -906 + 27187\/30. Let w(o) be the third derivative of 1\/20*o**6 + 0 + 0*o + 0*o**3 + l*o**5 + 0*o**4 + o**2. What is the third derivative of w(f) wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.3 + 0.4. Suppose -k = 3*k - 224. Let f = 170\/3 - k. Which is bigger: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 - -12. Let w be i\/(-10)*(1 + 4). Let x = 18.2096 + -0.2096. Are x and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 2 g, and 1 h when four letters picked without replacement from nhnoegg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 3*b = 16800. Suppose 4*z + z - b = 0. What is z rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 221.5877 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/140*-7*3\/(12\/(-40))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-105196)\/(-35) + 24\/60?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2596, -4, 2, -21254 in ascending order.\nAnswer: -21254, -2596, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-7))\/((-172)\/602)*2\/(-116)*-1?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 4:39 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**2 + 1 - 1)*(-4*q + 6*q - q) + (q - q - 3*q)*(0*q**2 - 2*q**2 + q**2) - 2*q**3 - q**3 + 4*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 28204485 (base 9) to base 8.\nAnswer: 65130301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -604*p**2 + 13*p + 198*p**2 + 196*p**2 + 192*p**2 + 0*p to a + f*p**2 + m*p and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - z = -2*z - 3598, 0 = 5*r + 5*z - 6010. Suppose -7*v - r = -9*v. What is v rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2\/46162581 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 133 (base 7) to base 12\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 252 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 132447 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3183727 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of 2*l**7\/7 + 7*l**4\/12 + 16*l. What is the third derivative of s(o) wrt o?\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -966 - -2875. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -256 + 452. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*i - 4*i + 210 = 11*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 317908 and 8930?\nAnswer: 1589540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2 + (-22)\/8)\/((-138)\/736). Let c(z) be the third derivative of 0 + 0*z - 1\/120*z**5 - y*z**2 + 1\/24*z**4 + 1\/4*z**3. Determine w, given that c(w) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + 8\/2 - 0. Suppose 2*r + 120 = -3*r. Let m be ((-36)\/r)\/(6\/20). Solve 1 = y*g - c - 7, 0 = -5*g - m*c - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33462428 a multiple of 514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 132 = -5*y + z, -5*y - 3*z = -124. Suppose y = 5*w + 1. Suppose -p + 1 = 2*k + 4*p, w*k + p = 14. Solve -2*o - 2*v + 2 = 0, o + o = k*v - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -156 + 159. Solve -4*t + 8 = -5*z, 0 = -n*z - 2*t - 0 - 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1842 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, q: 2, j: 3, p: 4}. Give prob of picking 2 j, 1 q, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (510\/595)\/((-2)\/14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14495853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 49160161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(95) - (-5*sqrt(95) - sqrt(95))*-2)\/sqrt(5).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + p = 83, -4*p - 52 = 3*l - 7*l. Calculate the smallest common multiple of l and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u + 6. Let h be c(2). Let g(m) be the third derivative of 1\/420*m**6 + 0*m**3 + 0 + 0*m + m**2 - 1\/105*m**5 + 1\/84*m**h. Let g(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32 - 4 - (6 + 12 - 31).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 6520 by 815.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -0.53, 31, 5, 0.01?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -89, -167, -247, -329, -413, -499, -587?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-9)\/3 - (-52)\/14. Let b = 59\/63 - v. Which is greater: 15\/7 or b?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -15*q**5 - 25*q**4 + 10*q**3 + 30*q**2 + 5*q - 5 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1892 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -56 + 185. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 45680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 + 5*d**2 - d + 5. Give g(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-804)\/(-200) - (52\/14 - (-342)\/1197)\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1804 is divided by (1332\/10)\/(2340\/2600)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -28\/1108363 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 31 - 31.1. Let x = -32 + 22. Let v be x\/4*(-3)\/6. Sort n, v, -3 in descending order.\nAnswer: v, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the third derivative of a**5\/60 - 7*a**4\/24 + a**3 - 17*a**2. Let v be h(6). Solve v = 2*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -111011101011110001111 (base 2) to base 9.\nAnswer: -3610670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sbsb when four letters picked without replacement from sssbbssbssssssbsbss?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 2*g**2 + 1. Let s be k(-2). Let w(c) be the second derivative of 13 + 1\/6*c**3 + 2*c - c**2. Let i(l) = l. Determine s*w(y) - 4*i(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5840553.\nAnswer: 3, 1946851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 34, -2\/3, 4, -2, 0.97 in ascending order.\nAnswer: -2, -2\/3, 0.97, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**2 + 2*a - 9. Calculate b(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be -13 - -1 - -1 - -5 - -2. Let p = 10 - 11. Put 3, 5, p, w in increasing order.\nAnswer: w, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*h = -i + 1, 0 = 9*h + 4*h - 8*h - 5*i - 185 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*r**4 + 3041452*r**2 - 147116520*r?\nAnswer: 36*r**2 + 6082904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 15b79bb (base 13) in base 8?\nAnswer: 32604143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/(-4))\/(36\/1008). Solve 10*s - i*s = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-35)\/28)\/(84\/1227). Let l = m - -1\/112. Calculate the common denominator of l and -91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 PM and 8:28 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -58, -1534, -3994, -7438, -11866, -17278, -23674?\nAnswer: -31054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 34*s**3 + 7*s - 6. What is the remainder when l(1) is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 34008 * 4\nAnswer: 136032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-3)\/(-4))\/((-1)\/(1 + -29)). Calculate the greatest common divisor of 168 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (((-1)\/(-10))\/1)\/(2\/15). What is the closest to 0.1 in -3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**3 + 4*i**2 - i + 2. Let s be a(-3). Let n = -10 + s. Let x(m) = 4*m + 8. Let q be x(3). Calculate the highest common factor of q and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3087 is divided by 440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*a**3 + 4*a**3 + a**3 + (-22 + 22 - 2*a)*(-4*a**2 - a**2 + a**2) - 6*a**3 - 2*a**3 + 3*a**3 - 5*a**3 + 14*a - 14*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let 2116*y**5 - 6008014*y**4\/15 + 1726286*y**3\/15 + 241196*y**2\/5 - 101352*y\/5 + 9072\/5 = 0. Calculate y.\nAnswer: -2\/5, 1\/6, 6\/23, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(-14) + 57\/21. Let o(d) = -d**2 + d + 2. Let s(b) = b**2 + 2*b - 8. Let v(p) = 2*o(p) + s(p). Calculate v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i - 25 - 3 = 0. Let c(j) = 2*j - 4*j - 2*j + i. Does 2 divide c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -12*g - 5. Let c(k) = -k - 1. Calculate 4*c(h) - j(h).\nAnswer: 8*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, l: 7}. What is prob of picking 3 l?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - 119 + 204. Suppose -20*m + o = -1015. Solve -12*q + m = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 85389*o - 42747*o - 42645*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**5 + 8*o**4 - 6*o**3 - 68*o**2 - 104*o - 48.\nAnswer: 2*(o - 3)*(o + 1)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from hyhyxhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = 4*b + 3*g, 6*b - g - 46 - 18 = -17 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 404801 or 22?\nAnswer: 404801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 136981764 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5*(2\/(-5))\/(-1). Suppose 2*b - 6 = w. Let k be (-14)\/(-91) + (-54)\/13. Sort 3, b, k in descending order.\nAnswer: b, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -6*i**2 - 2*i - 2. Let z(y) = -6*y**2 - 2*y - 1. Let c(k) = 2*n(k) - 3*z(k). Calculate c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 358 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1*((-28)\/70 - (-13911)\/15). Calculate the greatest common factor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.9 times 4132\nAnswer: 3718.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 26 - 2*w**2 + 4*w**4 - 24 - w - 2*w**4 + 6*w as m*w**4 + d*w + n*w**2 + b + y*w**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -5*s + 21. Let o be m(3). Suppose o*j + 5 - 53 = 0. Suppose -12*f + j*f = -388. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*1*7\/(-161)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -408 + 358. Let x = 53 + h. Solve x*j - 7*j - 31 = -3*y, 1 = y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 3*r + 6, -4*d + 5*r = -74 + 16. Calculate the common denominator of (7 + (-87)\/d)*(-107)\/5 and -85\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= 14\/437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*w + 4*w + w**3 - 33*w - 4*w**3.\nAnswer: -3*w**3 - 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 14787168 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 - 17. Suppose 3*y + 1 = n. Let z = -0.08 - -4.08. Which is the closest to -2? (a) z (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -35 - -23. Let r = 34 + t. Is 2\/7 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 108 = -3*z + 4*n, 0 = 5*z - n - 119. Suppose 5 + z = 2*c. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/739068 and -13\/142.\nAnswer: 52473828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*k + 17 = -57*k + g, 5*k + 10 = -4*g. Let r be -4 - (13 + k + -15). Solve 3*s = -p + 7, r*s - 2 = -p + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 220 and 2255?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 33786 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 535421061 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 14262, 28471, 42680, 56889, 71098, 85307?\n\"Answer: 14209*f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - -55 - (22 - -4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 265430 and 5890?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 5. Let u(l) be the first derivative of -l**4 - 1 + 1\/3*l**6 + 0*l**y + 0*l**5 + 0*l + l**2. What is g in u(g) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -247, -491, -735?\n\"Answer: -244*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 45033828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 54113 (base 6) in base 13?\nAnswer: 3495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 760\/(-190)*2\/(-196).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-5)\/(v\/v**2)*(v**(1\/5)\/v)**(6\/13))**(21\/2))**(6\/17) assuming v is positive.\nAnswer: v**(-17892\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -41 - -46. Solve s*h - 16 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 4 = 20. Solve -4*j = -i*o + 16, 4*o = -j - j - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*x = 6102 - 46692. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 18 = 4*b, -8 = -4*n - 6*b + 3*b. Let x(f) = f + 4. Let m be x(0). Sort m, n, 5 in decreasing order.\nAnswer: 5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -181\/240 - -7\/80. Do a and 201 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 + q. Let c(j) = 4*j**3 - 4*j**2 + 11*j - 5. Let y(s) = c(s) - 2*x(s). Let v(f) = f**2 - f + 1. Give 5*v(l) + y(l).\nAnswer: 2*l**3 + l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 + o**2 + o + 2. Let h be z(0). Let w = -2 + h. Let u = 126 - 128. Sort 7, w, u.\nAnswer: u, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 36 = 4*d + 66, -c = 3*d + 17. Let n be ((-6)\/21)\/(c\/98). Calculate the greatest common factor of n and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16801 is divided by 673.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of -5\/2*v**6 - 7\/2*v**2 - 1 + 20*v + 0*v**3 + 0*v**5 + 0*v**4. Differentiate i(j) wrt j.\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39090840 divided by -3257570.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 1304100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -816 + 822. Suppose -3*l + d*l - 3 = 0, -l = -4*q + 27. Solve -2*v - 5 = -q*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 390 + -370.1. Let w = l + -19.9. Which is smaller: w or 12\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -135 in -2, 0.4, -1\/6, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + 5 - 1) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 + 9*y**2 + 4*y. Is 28 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 3*b = -2545624. Suppose -b = -4*f + 967188. What is f rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 4205111, 4205103, 4205089, 4205069?\n\"Answer: -3*t**2 + t + 4205113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2552411 is divided by 2836?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (o - o + o + (4*o - 3*o - 11*o)*(-3 - 2 + 4) - 2 + 4*o + 2)*(-o**2 - 4*o**2 + 2*o**2) in the form h*o + i*o**2 + c*o**3 + l and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 - j**2 + 3. Let a(g) = -g**4 - 327*g**3 + 991*g**2 - 995*g + 338. Let v(m) = -a(m) + 2*q(m). Let v(k) = 0. What is k?\nAnswer: -332, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9 and 11187.\nAnswer: 11187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (6*(sqrt(171) - (sqrt(171) + sqrt(171)*-2)))\/((sqrt(144)\/sqrt(4))\/sqrt(4)).\nAnswer: -3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.9 (b) 0 (c) 5 (d) 2 (e) -82 (f) 1 (g) -87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 88712 is divided by 368?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/233 (b) 0.3 (c) 2 (d) -9.8 (e) -1\/2 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x. Suppose -g - 4 + 3 = 0. Let f(i) = -5*i - 1. Calculate g*f(t) + 3*r(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -29 (b) 10 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1007990321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1301928619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26 - -10. Let l = k - 33. Factor 0 - 1\/2*u**l + 0*u + 1\/2*u**2.\nAnswer: -u**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the second derivative of 17*r**3\/6 - 2*r**2 - 32*r. Suppose -5*f - 4 = 41. Let o(j) = 4*j - 1. Determine f*o(c) + 2*m(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 859 is divided by 281?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -12*x**2 - 173*x - 662. Determine i(-8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 68 and 56416591.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-84)\/(-18) - 2\/3. Suppose w*q - 3*q = 12. Calculate the least common multiple of 2 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 278808 is divided by 3066?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 2*u = -m, -3*u = -2*m. Suppose m = 4*j - 31 - 5. Is 2261\/j - (-2)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -4\/61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -149956 or -149957?\nAnswer: -149956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of 2*u**7\/105 + u**3 + 5*u**2. Let i(m) = -1 - 4 + 4. Let f(z) = 2*h(z) - 6*i(z). Find the first derivative of f(b) wrt b.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 29*s**2 + 2*s + 251. What is the tens digit of y(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 307401965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 63? (a) 0.56 (b) 118 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*t - 6 = -14*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, -410.3, -5, -0.2, -5.2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*t - 23*t - 4968 = -107*t. What is the greatest common factor of 2538 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 1 - 1 - 19*x**3 + 1. Let l be c(-1). Suppose -18 = -2*s - 2*d, -5*s + 3*d + 1 + l = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*w - 19 - 5. Suppose 3*h - 385 = 5*y - 1037, 3*y - w*h = 400. 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 the value of ((-147)\/35*5)\/(3*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2 - 8*n + 7. Let i be k(7). Let c = -120 - -252. Let d = -2510\/19 + c. Is d equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -19.29499575 rounded to 2 decimal places?\nAnswer: -19.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2 + (-1721367)\/(-12) - 21\/84 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-6*sqrt(624)*1)\/sqrt(12))\/(-6*sqrt(484)*-2 + sqrt(484) + 3*-1*sqrt(484)).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, 2, -5706, -3, 3.\nAnswer: -5706, -3, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence po when two letters picked without replacement from {p: 7, o: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 685089851.\nAnswer: 17, 40299403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, 0.4, 0, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 7*v + 8. Let k be a(3). Suppose -1 = -3*t - 4, 4*p - t - k = 0. Is p <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 97229.65 millilitres to litres.\nAnswer: 97.22965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i. Suppose -r = -2*g + 15, 3*g + r = -0*r + 30. Let w(u) = -4*u + g*u - 7*u. Calculate t(w(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x*x*x**(2\/23))\/x*x)\/(x\/x**(-4)))**(-1\/5))**(1\/69) assuming x is positive.\nAnswer: x**(67\/7935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*k**2 + 5*k**2 - 3*k**2)*(-2 + 3 + 2 + 5 - 2 - 2 + (0 - 2 - 1)*(-1 + 2 - 2) - 2 + 4 - 3) to the form g*k + s + j*k**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 3 = -2*s. Suppose -3*r + 19 - 5 = o, -2*o - r + s = 0. Let v be o\/2 + (-77)\/(-22). Solve z - 2*i + 8 = 0, -4*i + 3*i - v = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-11 + 2) - (24 + -19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/70)\/((-220)\/1100).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -161 - -244. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*g**2 - 44*g**2 + 166*g**2 - 27 - 42*g**2 - 43*g**2.\nAnswer: -2*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -15, 0, -3, 87, 158, 3 in descending order.\nAnswer: 158, 87, 3, 0, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence een when three letters picked without replacement from nene?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -9789198081826 + -0.2?\nAnswer: -9789198081826.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.3 + -6.7. Let s = 8.0055 + t. What is s rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrnrnnrrrnrnnn. Give prob of sequence rn.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -3, -13, -25, -39, -55, -73, -93?\n\"Answer: -b**2 - 7*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add 0.5 and 31860642.\nAnswer: 31860642.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*s + 308 + 14. Suppose 2*n = -q + 23 + 340, 1462 = 4*q + 3*n. What is the remainder when q is divided by s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2265773501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6480) + -1)**2 - (sqrt(180) - (1*sqrt(180) + sqrt(180)))**2*-4.\nAnswer: -72*sqrt(5) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2266*g = -1136*g - 1132*g - 12*y - 162, 2*g + 0*g = 3*y + 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*1*sqrt(114) - sqrt(114))\/((-3*sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(11)))**2 + -5 + 1 + sqrt(76) + sqrt(38)\/sqrt(2) + sqrt(19) + -1 + 2.\nAnswer: 4*sqrt(19) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 57 + 35. Let f = i + -92.5. Let y = 4\/3 - 13\/12. Which is the closest to 1\/3? (a) -0.4 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 30 = -x. What is the units digit of -1 + 17 + x + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7735 (base 9) in base 16?\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-2)*(4 + -9 + 11). Suppose 3*d - 4*k = -45, -l*k - 7 + 49 = -3*d. What are the prime factors of (-5 - d\/7)*(1 - 8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1016001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 905*f**3 - 3*f + 539. Let a(g) = 302*g**3 - g + 180. Let c(z) = 8*a(z) - 3*v(z). What is the second derivative of c(y) wrt y?\nAnswer: -1794*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 414*h - 841812*h**2 + 0*h**4 + 841814*h**2 + 3*h**4 in the form u*h**2 + p*h**4 + v + z*h + n*h**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1395*k**4 - 4512*k**3 + 41135627*k wrt k.\nAnswer: 16740*k**2 - 27072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 40 + -66. Let h = -23 - n. Which is the biggest value? (a) -0.08 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 212400 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 5930025.\nAnswer: 2\/5930025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 755 - 375 + 1141*a**3 - 1337*a**3 - 380.\nAnswer: -196*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*r + 18*r**3 + 8*r + (10*r + 14*r - 8*r)*((11 - 4*r - 11)*(-2*r + 4*r + 0*r) + r**2 - r**2 - 2*r**2 - 2*r**2 + 2*r**2 - r**2).\nAnswer: -158*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the third derivative of -5*u**4\/8 - 29*u**3 + 128*u**2. Let s be f(-16). What is the greatest common divisor of s and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t**4 + 5*t**4 - 4*t**4)*(2 - 4 + 1) - 3*t**4 + 4*t**4 - 2*t**4 + (-658 + 192 - 311)*(-2*t**4 - 3*t**4 + 4*t**4).\nAnswer: 777*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -5.542667 to 2 decimal places.\nAnswer: -5.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 3*c**2 - 32*c + 3. Let u = 47 + -32. Let x be y(u). Let l = 280 - x. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -777, -1704, -2609, -3486, -4329, -5132, -5889, -6594?\n\"Answer: d**3 + 5*d**2 - 949*d + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/9))**(15\/7)*h**(4\/5)\/h**(-4))**(7\/5) assuming h is positive.\nAnswer: h**(454\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 16509529, 33019063, 49528595, 66038125?\n\"Answer: -i**2 + 16509537*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*(-1 - -2) - 2. Let s = -265 + 250. Let y be (5\/(-150))\/(72\/s + 6). Is y at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1369 + -1354. What is the remainder when b is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kujwkwwjwyuujujyj. What is prob of sequence uj?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 56a6 + 1?\nAnswer: 56a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 10) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1.130377 to 3 dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 15*s - 23. Let i(x) = 7*x - 11. Let r(q) = -5*i(q) + 2*j(q). Let v(m) = -m. Give r(v(t)).\nAnswer: 5*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*t**2 - 4*t**2 + t**2 + (t**2 - 3*t**2 + 4*t**2)*(4 - 1 - 2) - 41*t - 12*t**2 + 41*t + 2 + t**2 - 2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 15, l: 5}. What is prob of picking 2 o and 2 l?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 16748989 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*p**3 + 3*p**3 + 3*p**3)*(10*p + 0*p - 6*p)*(3 + 0 - 4).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-21 - -25)*((-612)\/16)\/(-9). Solve -5*w - u + h = 0, -2*u = 4*w - 3*u - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/2? (a) -21.6 (b) -5\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -2730 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 8\/675 and 19\/61464?\nAnswer: 13829400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15 + -8. Let q(p) = -p**2 + 5*p + 16. Let n be q(o). Solve -x - 1 = n*k, 0*k + 10 = k + 4*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 - 4 - (17 + -12) - 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*y - 6 + 6)*(-148*y + 84*y + 73 + 69*y).\nAnswer: 50*y**2 + 730*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be 34\/52 + 2\/(-13). What is the closest to -0.08 in -1\/10, c, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13283524307*i**2 + 13283524307*i**2 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3619 + 3615. What is the closest to 5 in k, -1\/21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 528 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1342553, -1341841, -1341129, -1340417, -1339705, -1338993?\nAnswer: -1338281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/22 (c) 0.4 (d) -4 (e) 1219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 122.7 + -123. Put 0.4, n, 0.04 in decreasing order.\nAnswer: 0.4, 0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1243618 nanometers to kilometers.\nAnswer: 0.0000000000001243618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**20)**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of p**6\/195 + 129*p**5\/130 - 87*p**4\/26 + 131*p**3\/39 + 3531*p. Suppose s(r) = 0. Calculate r.\nAnswer: -131, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 minus 283?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-2*4\/(-7))\/((-8)\/(-4))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1282*v**3 + 19 - 651*v**3 - 663*v**3.\nAnswer: -32*v**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -10*g**2*v**3 + 5505300*g**2 + 2*v**4 + 362*v wrt v?\nAnswer: -30*g**2*v**2 + 8*v**3 + 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:07 AM and 9:40 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4295728 is divided by 1073931.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -31, -80, -181, -352?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (6674\/(-141))\/(2*(-2)\/78)?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 4*b, 22*b - 23*b = -4*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.95 + 4.64. Let b = 0.79 - x. Let s = 6.4 - 6. What is the closest to b in s, -2\/15, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 22 = 4*f - 5*f, 3*f = -a + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 105009.\nAnswer: 3, 17, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -2*k**3 - 66*k**2 + 2*k + 27. Let a = -5270 - -5237. What is p(a)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5433427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -60\/11 - -153\/22. Factor -r*u**2 - 1\/2 - 2*u.\nAnswer: -(u + 1)*(3*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 640671653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(2 + 16\/(-6)). Let h = l - -7. Let d(k) = -k**3 + 8*k**2 - 7*k + 8. Let p be d(7). Calculate the greatest common factor of h and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110 + ((-3)\/3*-1 - 0) is divided by 3*3 - (199 + -204)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3751 + 3755. Let g(m) be the first derivative of -m**2 + 0*m**3 + 9 - 17\/4*m**k + 0*m. Find the second derivative of g(x) wrt x.\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -47283536\/477 + 99127. Calculate the common denominator of -35\/39 and r.\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -14*l + 2. What is the remainder when b(-1) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) -1\/4 (c) 25 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -5536*c + 5536*c - 118*c**2 as m*c**2 + v + k*c and give m.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 76 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*n - 288 = 13*n + 15*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + 2)*(-9)\/(-6). Suppose -2*n - d*n = 0. Solve -u - u - 4 = n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, q: 3, s: 2, h: 3, i: 1, d: 5}. What is prob of picking 2 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 8748*a**3 + 26*a**2 - 47*a - 3. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 9 = 4*s, 0 = -i - s + 3*s + 3. Suppose -9 = -i*t - 3. Let q be (-1)\/t - 60\/(-24). Solve -v - q = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18472 is divided by 623.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9 + 12. What is the second derivative of 10*o**3 + 119*o - 118*o + o**k wrt o?\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 932 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) -1170 (c) -11\/37 (d) 0.3 (e) -4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 47310, 378986, 1279412, 3032964, 5924018?\n\"Answer: 47396*w**3 - w**2 - 93*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 350 by -35.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2117200527 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 + 8*u**2 + 19*u - 4. Let j(x) = -5*x**3 - 40*x**2 - 101*x + 20. Let i(q) = -2*j(q) - 11*s(q). Let t(l) = -8*l + 1. Let y be t(1). Give i(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -4 + 7*j - 4 + 2. Suppose 0 = -2*r + 1 - 11. Let l(q) = 6*q - 5. What is r*v(k) + 6*l(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/4 and -2\/145.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 8, u: 3, l: 2, p: 4}. What is prob of sequence cp?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j - 8*m = -48, -20001*j + 20003*j = -m - 0*m + 27 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1065 - 484. Let o = 994 - i. What are the prime factors of o?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + (1 - (-5 - -4 - (-47 - -44)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -78, -713, -2440, -5805, -11354?\n\"Answer: -91*h**3 + 2*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 1616\/9*u**2 + 704\/3*u + 100\/3*u**3 - 1792\/9 + 14\/9*u**4 = 0.\nAnswer: -14, -4, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 11 = -l, -5*l = 4*s - 2*l - 23. Suppose -w = -f - 88, s*f - 3*f + 90 = w. Which is smaller: 88 or w?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6215575 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17 - 10. Let o = -4 + d. Let j = 0.43 + -0.03. Which is the closest to -1? (a) 0.3 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -27485\/13541 + -2\/3693. Let l = n - -15\/11. Put l, 2, -4 in ascending order.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2\/11 - 382000*z\/11 - 18240500000\/11.\nAnswer: -2*(z + 95500)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 577764621 to the nearest integer?\nAnswer: 24037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-72)\/(-224))\/(0 - (-6)\/16). Let q = 52284 - 52280. Solve -12\/7*a**2 + 0*a**3 - z + 16\/7*a + 2\/7*a**q = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 33*b**3 + 11*b**2 + 11*b + 11. Let j = 8 + -6. Let i(t) = j*t**2 + 3 + 103*t + 102*t + t**2 - 304*t + 102*t + 8*t**3. What is -3*h(u) + 11*i(u)?\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 377622 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: What is -62225a (base 11) in base 2?\nAnswer: -11110011110010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - ((-16)\/(-8))\/((-4)\/2). Let t be (4\/6)\/((-1)\/(-3)). What is the third derivative of -4*a**2 + n*a**t - 3*a**6 + 13 - 13 wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j = 12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2364, -4720, -7076, -9432, -11788, -14144?\n\"Answer: -2356*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 147 (base 11) to base 15.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1, 0.1, -7, -588, 1\/11, 2\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 503*a - 37 = 502*a + 6*l, -a = l - 16 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5331123 centuries to decades.\nAnswer: 5.331123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**2 - 7*x + 5. Let d be b(5). Suppose 8 = 6*m - 4*m. Sort -4, m, d in decreasing order.\nAnswer: m, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-338)\/(-114) + -3)\/((-378)\/1809) and -64\/627?\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 AM and 5:21 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.23 + 0.21. What is the nearest to 0 in a, 0.2, -3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8339 times -2?\nAnswer: -16678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 34689000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:30 PM and 2:25 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*b**3 - 8*b**3 - 4*b**3 + 2*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 7*l - 77 = l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35511 = 10*m - 34449. List the prime factors of m.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 317.9, 54\/71, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 21112201220 (base 3) to base 6\nAnswer: 3103340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 231748 to the power of 1\/2, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -75 + 119. Suppose 0*l - x = -4*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 - 22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*z + 81*z = -168*z + 3960 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 33672, 33670, 33668, 33666?\nAnswer: 33664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/(-2))\/(4 + -3). Solve 0 = -3*f + u*b - 8, 3*b = -5*f - 4 + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -57\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) 2 (c) 1007 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-28)\/(-6) + (-5)\/(-15). Suppose 0 = p*d + 2*c + 5, 3*d + d + 2*c = -6. Let v(l) = -1 + d + 0 - 5*l**2. Let z(b) = -4*b. Calculate v(z(r)).\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 13727100 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let x = -0.7 - -2.7. Let w = 0 + -2. Let m = -14239 + 14243. What is the nearest to m in w, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-11)\/(-33))\/(284\/(-213))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 11984 and -0.544?\nAnswer: 11984.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 41 = 5*k, -79 = -5*k + 5*g - 14. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 780 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 84 + -79. Suppose 30 + 34 = 3*f + o, -p*f = -3*o - 88. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 71083 - 23595. What is the units digit of s\/62 + 42\/651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.11 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ghhhhgg. What is prob of picking 2 g and 2 h?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 0*a - 5*a + 0*a + 0*a. Let v(z) be the second derivative of z**3\/6 + 7*z. Give v(m(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 - 3*x**2 + 22*x + 2. Let z be i(0). Solve z*b - 5*d + 3 = 0, -6*b - 5*d = -9*b - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.2 and 8872.467.\nAnswer: 8872.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be 48 + (-5)\/(-35)*7. Suppose -r*q = -45*q - 396. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.005 - 0.001. Round y to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73 = 3*n - 5*k - 49, k + 142 = 3*n. Let z be -129*(-8)\/(-96)*-1*4. Let d = n - z. What is the smallest common multiple of d and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*a - 3*a. Let c = a + 2. What is the tens digit of (1*c)\/(20\/130)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 177*g*m**4 - 2*g*m**3 - 25934*g + 5*m**4 - m**2 wrt m?\nAnswer: 4248*g*m - 12*g + 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(9\/6) - (-1 - -1). Let m(t) be the first derivative of 0*t - 5\/3*t**3 - 6 + 0*t**h. Let c(y) = -2*y. Determine m(c(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 548 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2422\/23 - 105. What is the common denominator of 1 + (-6440)\/252 - -23 and m?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 717221, 717111, 717001, 716891, 716781?\n\"Answer: -110*z + 717331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/6)*f**(-2\/25)*f)**34*(f**(-6)\/f*f\/(f*f**(3\/7)))\/((f**(6\/11)\/f)\/(f**(1\/3)*f)) assuming f is positive.\nAnswer: f**(60264\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is d in -10*d**4 - 476*d**3\/3 - 386*d**2\/3 + 20*d = 0?\nAnswer: -15, -1, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3181524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2611, -2628, -2645?\nAnswer: -2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/3*12\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8\/59 or 0?\nAnswer: 8\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/1096416 and 52\/423.\nAnswer: 1096416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*i**3 + 130*i**2 - 130*i**2 + (3*i**2 - i**2 - 5*i**2)*(110 + 10*i - 110).\nAnswer: -35*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43840413 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*r - 7338 = 10438. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from {x: 8, o: 2, d: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/(-18) - 40\/(-12). Suppose 12 = -l*n, -3*a + n = 5*n - 653. Let w = a - 111. Calculate the greatest common divisor of 28 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*y - 27 = 1065. Solve -y*s = -47*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 7*b - 162. Give m(18).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 67909470137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 34, -14, 0.\nAnswer: -14, 0, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 182059 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*b**5\/5 + 20077242*b**4\/5 - 33462148*b**3\/5 - 31231288*b**2\/5 + 26769712*b\/5 + 17846464\/5 = 0 for b.\nAnswer: -1115404, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2126 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4612176 divided by -1.\nAnswer: -4612176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 817378*o**3 - 251797?\nAnswer: 2452134*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 492688 and 277137.\nAnswer: 4434192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/2*9\/((-2268)\/(-24))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 268970804 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 270472.71 months?\nAnswer: 2253.93925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (15 - 3) - (10 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/4*1000\/(-625)*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 9, v: 4, z: 6}. What is prob of sequence zv?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -383\/1500 - -2\/375. Let x = -2 - 0. Which is the third biggest value? (a) x (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3207792 and 1512.\nAnswer: 28870128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 32*w - 43*w + 35*w - 432 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 32 * -2121\nAnswer: -67872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 805 and -125367.\nAnswer: -100920435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 251583041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 57651 is divided by 56294?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**3 + 43*a**2 - 5*a - 33. Calculate y(43).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38108 is divided by 12685?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 59*h - 3198 - 637. Calculate the remainder when h is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25714 = -376*l - 183*l for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 9*3\/(-6)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 735 times -0.4\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 109982, 878956, 2965908, 7029824, 13729690, 23724492, 37673216?\nAnswer: 56234848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 4*p. Let f = -156 + 160. Let s(v) = 3*v. Suppose d = -8 + 2. Let u(c) = d*s(c) + f*j(c). Let o(b) = -7*b**2. Calculate o(u(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -162, -330, -512, -714, -942, -1202, -1500, -1842?\n\"Answer: -k**3 - k**2 - 158*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20.46 + 2.36. Let f = o + 9.2. Let d = f + 9. What is the biggest value in 3, -0.7, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -12*v + 1. Let p be a(-1). Let n = -1 + 0. Let u be (58\/(-6) - n)\/(26\/(-429)). What is the highest common divisor of u and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 3*i - 34. Calculate the highest common divisor of i and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 8*q**2 - 6*q - 4. Let w be f(7). What is c in 3982*c**2 - 6*c**w + 3*c**4 - 3982*c**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 2*n**2 - 8*n + 2. Give i(-9).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/2*3\/15. Let r be (-7)\/((-49)\/(-12)) - -2. Which is the closest to i? (a) 0 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w + 13. Let n be a(8). Suppose 4 = -r + n. Let m(g) = -7*g**3 + 3*g. Let y = 414 - 411. Let j(s) = s**3 - s. What is r*m(c) + y*j(c)?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, j: 4, w: 1, i: 4, b: 4, m: 4}. Give prob of sequence mb.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/4)\/(11\/(-44))*9\/(-45)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 - 5\/(0 - -1). Let a = p + 6. Suppose s = 4*u + 17, -4*s - 3*u + 5 = a*u. Solve -2*x = -4*g - 30, 2*g + x + 30 = s*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**3\/3 + 160*d**2 - 318*d + 476\/3.\nAnswer: -2*(d - 238)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0\/5 + 4\/6. Which is the closest to 2\/7? (a) 0.5 (b) -2\/15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 277204147 to the nearest integer?\nAnswer: 16649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3427 * 253.4\nAnswer: 868401.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1749 + 2408. Suppose 2*u - a = -653. Determine x, given that -1\/9 + 4\/9*x + 1\/3*x**4 - 4\/9*x**u - 2\/9*x**2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 15*j. Let w(h) = -31 - 32 + 64. Let v(z) = z**2 + 24. Let k(b) = -v(b) + 2*w(b). Let p(y) be the first derivative of k(y). Determine p(q(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2696 is divided by -9 + (16 - (-5486)\/91) + 4\/(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the third derivative of 0*f + 0*f**7 + 3*f**2 + 0*f**6 - 1\/6*f**4 - 5\/336*f**8 + 0 + 0*f**5 + 0*f**3. Find the second derivative of y(o) wrt o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -72 - -76. Suppose 10 + 342 = p*m. Let i = m + -86. Calculate the lowest common multiple of 28 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 8080*o**2 - 648938?\nAnswer: 16160*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11 - 14. Calculate the remainder when 85 + (h - 3)\/2 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 AM and 12:19 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3606 or 1679937\/466?\nAnswer: 1679937\/466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 19, 47, 77, 109?\n\"Answer: i**2 + 25*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12446*r - 13251.\nAnswer: 12446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is (477\/(-2) + -1)\/((-1)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3460 = 5*a, 4*q - a = 2*a + 2733. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 - 8*h**2 - 8*h + 3. Let o be q(-6). Let m be (12\/(-105))\/((-18)\/o). Which is the third biggest value? (a) 0 (b) m (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-3))\/((-22)\/(1980\/75)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 12*f - 24. What is the tens digit of x(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-3)*1056\/1408*48\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 12040 by -5.\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -132898 - -17655.\nAnswer: -115243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be 33\/2*(-9 + 25). Calculate the remainder when 4\/(-10) - v\/(-10) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1836 + -1057. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 89 - 91. Let l be 1 - (-2 + 0)\/1. What is the closest to y in 1, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 648929197, 648929192, 648929185, 648929176, 648929165?\n\"Answer: -s**2 - 2*s + 648929200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 709 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 + 13 = 14*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 224*o + 2. Let a(b) = 4*b + 1. Let w(v) = -2*a(v) + m(v). Suppose -4*k + 1 = -3. What is the units digit of w(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*h + 0*h - h**5 + (4*h**5 - 2*h**5 - h**5)*(2 + 2 - 2) + 3*h**5 + 10*h**5 - 6*h**5 + (h**5 + 0*h**5 + 2*h**5)*(1 + 2 + 2) + 2*h**5 + h**5 + 0*h**5.\nAnswer: 26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 4*m - 15 - 10, 3*b = 5*m + 24. Let q(i) be the third derivative of i**5\/60 - 3*i**4\/8 + 17*i**3\/6 + 2*i**2 - 29*i. Is q(b) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sjjajasjajaj. Give prob of sequence sjs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1812?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 26131789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 62.21989 centuries?\nAnswer: 6.221989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 16527*o - 16516*o - 3 - 9 - 2*o**2 - 8. What is g(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/((-728)\/(-152)) + 1*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 60846 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: b\"What is the fth term of 220110, 220199, 220274, 220335, 220382, 220415, 220434?\n\"Answer: -7*f**2 + 110*f + 220007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 6 + 1)*(-2 + 2 - u)*(4 - 5 - 2).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 695.07 * -0.4.\nAnswer: -278.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zziazzzzz. What is prob of sequence ziz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 292, -1222, -4526, -9620, -16504, -25178?\n\"Answer: -895*t**2 + 1171*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(25) + (sqrt(275)*-4)\/sqrt(11))\/(sqrt(5) + 1*sqrt(500) + sqrt(5)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 33 and 4675?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u + 9 = w, -16*w - 5*u - 15 = -20*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-2\/3)\/(d\/d**24) assuming d is positive.\nAnswer: d**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide (48\/(-7))\/(2\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 - 8. Let f(m) = 10*m**3 + m**2 - 1. Let t be f(g). Let w = -7 + t. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (70 - 71) + (-1 - (0 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {x: 2, s: 1, k: 1, m: 4, h: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 16433, 16434, 16435, 16436, 16437?\n\"Answer: j + 16432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 7*f - 5. Let h(w) be the third derivative of w**5\/60 + w**4\/12 + w**3\/2 - 2*w**2. What is the remainder when h(-4) is divided by b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2237600 divided by -40\nAnswer: -55940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -33 - 10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -10265*c + 51. Let w be q(3). Is (-4)\/6 + w\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*k - 14*k - 18*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00971499468 rounded to 5 dps?\nAnswer: -0.00971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:32 AM and 4:06 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -0*f - 25, 2*f + 3 = l. What is the remainder when 25 is divided by l + (-1)\/(-1 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -255434 + 255419. Let x(a) = -11*a - 62. Let k(u) = 6*u + 31. Let w(p) = -7*k(p) - 4*x(p). Give w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -181*v**3 - 2*v**2 + 3*v - 3. Let z(l) = 357*l**3 + 4*l**2 - 7*l + 6. Calculate 7*a(n) + 3*z(n).\nAnswer: -196*n**3 - 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 119527527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5427818?\nAnswer: 2, 11, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 89 - 64. Let u be ((-1)\/(-1))\/(5\/10). Suppose 5*a + 0*z - 3*z = 1015, -2*a - u*z = -390. Calculate the greatest common divisor of a and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 13938?\nAnswer: 13938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 4*l - 12. Suppose l = v - 7. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 4*n + 10568, -2*n + 10562 = -34*h + 35*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21598484389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 420, 960, 1852, 3090, 4668?\n\"Answer: -s**3 + 182*s**2 + s + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-15)\/(-25) + 17\/5. Suppose 11*w - x = 13*w. Let k = 6 + w. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 166 - 150. What is the remainder when 63 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 600\/(-1540) + (-8)\/44\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 + (-6372)\/(-30) + 2\/(-5). Let w = c - 210. Factor j**2 + 0 + 2\/3*j + 1\/3*j**w.\nAnswer: j*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*y - 173 = -77 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 + 4*y**2 + 5*y + 2. Suppose -6 = -3*j + 9. Let p be r(j). Suppose p*n + 8 = 30. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**2 - 14*u - 5. Let t be z(-4). Let k = t - 23. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/2, 2\/5, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 2*i**3 + 25*i**2 - 94*i + 119. Calculate a(-16).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-135)\/(-180))\/((-1)\/8*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.09 + 1.094. Let r = c + -0.364. Let m = -0.88 - r. Round m to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 2*r**2 - 19*r - 4. Let u be -1 - (2 - (-26)\/(-2)). Let p be g(u). Differentiate -7 - 8*v**3 - 10 + p with respect to v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 54855*s**5 + 296*s**4 - s**3 + 547354304*s**2 wrt s?\nAnswer: 3291300*s**2 + 7104*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j*(j\/j**(-5))\/j*j)\/j)\/(j*j*(j*j**(-1\/3))\/j))**(-8)\/(j**6*j**0)**(2\/81) assuming j is positive.\nAnswer: j**(-1156\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 10\/21, 0.4, 0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37942711?\nAnswer: 37942711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3 + -3371)*(-25)\/(-1). What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-1)*-1)\/(270\/(-306))*5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 411 divide 438126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-11)*d**(-10))\/((d\/(d\/(d\/(d*d\/(((d**(-3)*d)\/d)\/d)))*d))\/(d*d**(3\/13))) assuming d is positive.\nAnswer: d**(-179\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22 - 5. Suppose y*f - 48 = 21*f. Calculate the smallest common multiple of 12 and f*6\/(72\/(-20)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 2, i: 2, u: 3, x: 1, d: 6}. What is prob of picking 2 n and 1 x?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4121 or 863\/2?\nAnswer: -4121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (72*f + 59*f - 104*f)*((-1 + 3 + 7)*(2*f - 3*f - f) - 2*f + 0*f + 4*f) to z*f + b*f**2 + g and give b.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.04 + 2.96. Suppose 1 = -3*y + 16. Let z = -50.5 + 51. Which is the biggest value? (a) y (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -10*d**3 - 5*d**2 - 9*d - 4. What is the remainder when q(-2) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 7:16 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/w**5)\/w**(-2))**50 assuming w is positive.\nAnswer: w**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*t + 132 = 3*c, -4*c + 9*c = -5*t + 45 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 9659518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from plxxp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*k + 3*k + 2*k)*(-5*k**2 - 5*k + 5*k) - k**2 + k**2 - k**3 + (-6*k**2 + 4*k**2 - k**2)*(-6*k + 2*k + 2*k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/13, -8, -38?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/49050 and -71\/7194.\nAnswer: 539550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 2. Let x be n + -2 + -2 + 25. Solve -5*t - x = -m - m, -3*t - 15 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**2 - 4*y + 1. Let r(n) = n**3 + n**2. Let u be r(-2). Let d be b(u). Which is bigger: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2.4165 and 3?\nAnswer: 7.2495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 5*b**2 + 31*b + 9. Let x = 21 - 19. Let w(p) = -p + 0 + 2 + 3*p**2 - x*p**2 + 7*p. Let c(g) = 6*d(g) - 33*w(g). Suppose c(m) = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -300364056 divided by 12379.\nAnswer: -24264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 2 = s - 7*q, 4 = -2*s + 4*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 950295 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(4\/3)*g*g)\/g**(-11))\/(((g\/(g\/(g*g\/(g\/(g**(-6)*g))))*g)\/g)\/(g\/g**(5\/4))) assuming g is positive.\nAnswer: g**(197\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6*2\/4 + 0. Suppose h + 0 + x = 0. Let f = -160.1 - -160. What is the closest to f in 5, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12 - -39. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 3*f + 84. What is the remainder when 25 is divided by v(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -5*q**3 - 22*q - 20. Calculate h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13 - 13) + -6 - (-14 - (0 - 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2.01 * -23\nAnswer: 46.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/5 in 6, 1, 0, 0.04, -0.0263, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.113? (a) -3\/2 (b) 1\/4 (c) 21 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n - 3*n - 6 - 6*n + 2*n. Let x(o) = -1. Let q(j) = -c(j) + 6*x(j). Let r(v) = v**2. What is q(r(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-4*sqrt(20) + sqrt(20)))\/(sqrt(8)\/(sqrt(16)\/sqrt(8))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/2 (c) 483 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21 + 19 - 40 - 51*a.\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 484 minutes after 1:44 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/418 and 41\/608.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 119 - 96. Let r(g) = 2*g**2 - 45*g - 20. Let c be r(v). Suppose -2*u - 5*n = 2*u - 1472, -c*u = 3*n - 1107. Is u a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 - 10. Let d be -1 - (-1 + 9)\/((-1)\/(-2)). Let t(q) = q**3 + 18*q**2 + 18*q + 17. Let p be t(d). Solve p*x - x + 5 = j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5, 1, 13, 31?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 3*w**2 - 15*w + 3. Let c be v(5). Does 18 divide (30\/4)\/c*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**3*p**4\/p*(p\/(p**(1\/2)\/p)*p)**(-2\/25))**36 assuming p is positive.\nAnswer: p**(1044\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-150)\/(-1100))\/((-6)\/8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -46347719 + 95827710. Suppose 3*x + 2*z = x + 24740006, 0 = -4*x + 3*z + y. Round x to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of 2*g**2 - 5*g - 190. Let o(i) = 8*i - 9. What is 4*o(f) - 7*y(f)?\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/(-4))\/(-5*6\/(-60)). Let s = -2 + 4. Let r(q) = -s*q + 5*q - 1 - 2*q. Calculate r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 9\/4*(-212)\/(-159)*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-3\/5)*i*i)\/((i*i**(-3\/2))\/i*i*i))\/(i*i**4*i*i**(-3\/8)))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 2*g**2 - 3*g + 10. Let y be n(9). Suppose -5*f - i = -960, -5*f + y + 805 = -i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 + 12. Let l = 2 + 22. Suppose 0 = b*z + z - l. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 161778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2385\/2 - -1192. Is c > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2451 and 3071232.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 423*c**2 + 439071*c - 3114.\nAnswer: 3*(c + 1038)*(141*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/((-100)\/(-535)) - (-193)\/(-772)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 6158, 24704, 55618, 98900, 154550, 222568, 302954?\n\"Answer: 6184*d**2 - 6*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (-3 - 2 - (9 + -16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 23\/9 in 3\/2, -5, -1\/4, -6.4, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -43310 + 2?\nAnswer: -43303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -260 in 2\/3, -2\/7, 14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2\/3 + 36160*p - 980659200.\nAnswer: -(p - 54240)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 256, 1\/246, -1, 4.1?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -99292, -199559, -299826, -400093?\nAnswer: -500360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 + 67. Let h = -76 + q. Let n = 11.8 - h. What is the nearest to n in -1\/2, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -45\/2 (b) -4 (c) 1 (d) -19 (e) 0.4 (f) -2\/43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -39 + 14*x**2 + 39 - x**2. Let i(t) = -t**2 - t + 2. Let s be i(0). Let c(d) = d**2 - 3*d**s + 4*d**2. Give c(n(j)).\nAnswer: 338*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 2 = 2*p, -2*w = -6*w + 2*p + 20. Suppose w*l - 20 = -5*a + 20, -4*a + 5 = -3*l. Solve -l*q - 2*u + 13 = -5*u, 16 = 4*q - u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8220 - 8219.92. Sort 2\/7, 0.14, j.\nAnswer: j, 0.14, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, j: 5, u: 5, y: 1, s: 4, m: 1}. Give prob of picking 1 o and 1 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*a**2 + 0*a**2 + a**2)*(-2 - 2 + 5 + (-4 - 3 + 5)*(-2 + 3 - 3) + 3 + 0 - 4)*(423 - 37 - 204) to the form z*a**2 + x*a + b and give z.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8 - -11. Let n(s) = 28 - 3*s + 34 - 2*s - 58 + 2*s**2. What are the prime factors of n(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20)\/16)\/5 - (-13)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -2*s**2 - 2*s + 2. Let a be t(-2). Let g = -4\/49 - -142\/539. What is the nearest to g in 2\/7, a, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-177)\/48 + 4)\/(((-11205)\/332)\/27).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tddd when four letters picked without replacement from {d: 6, t: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2830873005 to the nearest integer?\nAnswer: 53206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -27*l**2 - 3032*l. Let v(g) = -2*g**2. What is t(v(b))?\nAnswer: -108*b**4 + 6064*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1.96235 or -160.7?\nAnswer: -160.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 14321?\nAnswer: 14322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose j**4\/2 - 1335*j**3 + 30480*j**2 - 104585*j + 150879\/2 = 0. Calculate j.\nAnswer: 1, 3, 19, 2647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be 16\/364*21\/6. Put -0.3, -26, d in descending order.\nAnswer: d, -0.3, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 2996616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 87.12*-24449\nAnswer: -2129996.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 23 - 11. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 11, f: 5}. What is prob of sequence uff?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be (266\/(-114))\/(7\/(-12)). Suppose r = n, -10*p + 8*p - 4*r + 16454 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -53*v + 3. Let s(j) = -j - 2. Calculate -6*s(x) + w(x).\nAnswer: -47*x + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 4, -4*k + 2*k = -p + 29. Calculate the highest common divisor of p and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11*d**5 - 45*d**4 + d**3 - 2666*d - 2 wrt d?\nAnswer: 220*d**3 - 540*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001867701 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1152464269?\nAnswer: 11, 104769479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 13*l - 11. Let b(i) = 7*i - 6. Let t be -4 - -10*(1 - 0). Let j(a) = t*r(a) - 11*b(a). Let c(f) = -33*f. Calculate j(c(o)).\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/2976 and -181\/38874.\nAnswer: 621984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is y in -2*y**2\/7 + 4882*y\/7 + 11232 = 0?\nAnswer: -16, 2457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9890, 11128, 12366, 13604, 14842?\nAnswer: 16080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (10\/(-3))\/((-6)\/(-18)). Find the common denominator of -109\/18 and (153\/(-15))\/((-4)\/m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-157795)\/(-40) - (-1 - -1). Let w = -3933 + p. Calculate the common denominator of w and -3\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 19*k**2 + 15*k - 15. Let z(i) = 9*i**2 + 8*i - 8. Let f(w) = -4*x(w) + 7*z(w). What is f(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(28)\/sqrt(4) + -2)**2.\nAnswer: -11 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 12561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 132 and 11154.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 56*i + 10 - 2 + 76*i as p*i + m and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 12364.145 to the nearest 10.\nAnswer: 12360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of 2*s**5\/5 - s**2 - 550. Let m(x) = -99*x**2. Determine m(v(b)).\nAnswer: -57024*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = -76*z + 75*z - 4*x, 3*z - 2*x - 18 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 161 + -161. Suppose n = 2*q + 3*q - g - 121, -4*g = -3*q + 59. Let j = 214\/3 + -70. Sort q, j, -0.2 in ascending order.\nAnswer: -0.2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50300 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -52746960*d**4 - 1181*d**2 - 81*d + 23 wrt d.\nAnswer: -1265927040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 261*z + 6*z**2 - z**2 - 261*z.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - -8. Let k(p) = p - 3 - 2*p + 2*p + p**3 - 8*p**2 - 2. Let l be k(a). Solve 3*m - l*x - 11 - 4 = 0, 20 = -4*m - 4*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -21.84 - -22. Let n = -0.46 + r. What is the nearest to -1 in -0.2, n, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1191c3 - 9?\nAnswer: -1191cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/3461*((-114)\/252)\/19. Let u = -21901217\/436086 - z. Let d = u + 50. Which is the nearest to d? (a) 6 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 249198 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 5*z - 6 + 33 = 0, 4*z = x - 16. Suppose -x*a = -a. Differentiate a*t + 3*t - 2 - t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10491595439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + 0.74325.\nAnswer: 13.74325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of d**4\/24 - 4*d**2 - 41*d. Let s(a) = 623*a. Calculate s(f(v)).\nAnswer: 623*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -751*i*k**2 - 118924301*i*n - 868*k**2 + 2*k*n + 2 wrt k?\nAnswer: -1502*i*k - 1736*k + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g, 1 n, and 1 t when four letters picked without replacement from ggggjttiggtgngggig.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1400*s + 16577 = -42223 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3389 is divided by 103?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 92, 65, 38, 11, -16, -43?\n\"Answer: -27*s + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 132 = -152. Suppose 3*j - 92 = -4*k + 111, -185 = -3*j + c*k. What are the prime factors of j?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 96370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add -0.048 and 1234842.\nAnswer: 1234841.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -948 (base 11) in base 4?\nAnswer: -101311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1.4 or -983?\nAnswer: -983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 204 = -28 + 144. Suppose 4*c - i + 9 = 0, -4*i - 21 = 2*c + c. Let l = c - o. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1256, 2517, 3778, 5039?\n\"Answer: 1261*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 7405267 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 8*f**2 - 3. Let h(z) = 17*z**2 - 6. Calculate -13*b(t) + 6*h(t).\nAnswer: -2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/2 and -67\/2456.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -7444, -14991, -22552, -30127, -37716, -45319, -52936?\n\"Answer: -7*z**2 - 7526*z + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2102600 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a factor of 12203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -13, 0.16, 25?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2616611 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: Let v be (-2)\/(-3)*(-20334)\/(-4). Suppose 5*o - o = 20044. Suppose 0 = -4*h - v - o. What is h rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 43\/7, 2\/7, 0.1246, -0.02, -4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-9)\/(-6) + (-35)\/10. Let g(b) = 23*b + 46. Let h be g(i). Solve 4*o - a + 20 = 0, h = 4*a - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/7, -0.9, -2\/39417, -2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**2 + 7*j - 6. Let g be h(4). Does 32 divide (444\/18)\/(2\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -16 - ((-121 - -168) + (-15 - 15))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(1053) + 2)*6)**2.\nAnswer: 3240*sqrt(13) + 38808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = -1183 + 26599. What are the prime factors of o?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -2*k + z, -3*k + 2*z + 8 = -1. Suppose 5*f + h + 13 = f, 5*f - k = 3*h. Let w be ((-2)\/3)\/(f\/(-15)). Put w, 2, 5 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2473 - -2470. Let f(i) = 5*i**3 + 2*i**2 - 2*i + 3. Let m(x) = -4*x**3 - 3*x**2 + 3*x - 3. What is p*f(s) - 2*m(s)?\nAnswer: -7*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 8, t: 8, e: 4}. What is prob of picking 3 e and 1 f?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 2*b**2 + 3*b - 6. Let h be k(-3). Let p(g) = 4*g - 10. Let x be p(h). What is the second derivative of -95*c**x + 41*c**2 + 6*c + 41*c**2 wrt c?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(1008) + sqrt(1008) + ((1*sqrt(1008))**2 + 2 + sqrt(1008) - sqrt(1008)) + sqrt(1008) + sqrt(1008) + -1 + -2.\nAnswer: 48*sqrt(7) + 1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 63805.\nAnswer: -4\/63805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1.9719 take away 0.25769?\nAnswer: 1.71421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 62085, 124174, 186263, 248352, 310441?\n\"Answer: 62089*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b + 3497544 = 18967544. What is b rounded to the nearest ten thousand?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -115 by -1.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -134421235 (base 6) in base 13?\nAnswer: -74c246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = j - 0*j - 2*o, -2*o = 4. Solve 4*i = 4*x + x - 2, 4*x - j*i = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2006180971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -d + 3*d - 20, 2*d + 12 = -5*s. Let q(w) = 3*w + 1. Suppose -2*n = 5*l - 17, -5*l + 761 - 745 = n. Let i(p) = 3*p + 1. Determine l*i(f) + s*q(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**0)**(2\/45)\/(k**(-2\/7))**(-4))**(33\/4) assuming k is positive.\nAnswer: k**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 631903167?\nAnswer: 3, 7, 101, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2994697477 to the power of 1\/3, to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 28089 - 28108 = 11*z - 2*c, -4*c + 65 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(176) + -2 + 0 - (sqrt(176) - (-2 + -4*sqrt(176)))).\nAnswer: -16*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-3 + 0 - -6) + 28 - (-4317 - -4318)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of 0*f**3 - 6 + 1\/360*f**6 - 3\/2*f**2 + 1\/72*f**4 + 1\/90*f**5 + 0*f. Let x(j) be the second derivative of k(j). Factor x(c).\nAnswer: c*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 403*g - 208*g - 195*g + 7*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -4*g - 16, 3*g = 4*a - 7 - 9. Is -37\/28 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 70\/21*(-1 + 130\/25). Solve 4*v = 2*b + 20, -b + 4 = 5*v - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 115*w - 581. What is f(6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8056714266?\nAnswer: 2, 3, 41, 167, 65371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 42670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -4*y + 5. Let i be (-5)\/(-15)*(-30)\/y. Sort i, 4, -4 in descending order.\nAnswer: 4, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(-2))\/(i\/i**(-7\/4)))\/(i**7\/(i\/(i\/i**(-1\/3))))*i**(-2\/13)*i**(2\/3)*(i**(2\/9)*i)\/(i*i\/(i*i*(i*i\/i**(-3\/2))\/i)) assuming i is positive.\nAnswer: i**(-1333\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -3*j - 40, 5*u - u - 4 = 0. Is -4 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2 - 2 + 1. Let j(k) = -4*k - 3 + 2*k + 0. Let g = 31 + -32. Determine g*j(i) - 3*a(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -32241146 + 0?\nAnswer: -32241146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12468668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -11*u**2 - 5*u + 5. Let d(k) = -10*k**2 - 4*k + 4. Suppose -64*l = -66 + 386. Determine l*d(q) + 4*y(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 7*u - 12. Let f be r(2). Solve -2*h - f + 0 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 10*t**2 - 62*t - 57. Let x(u) = -7*u**2 + 41*u + 38. Let q(c) = 5*d(c) + 7*x(c). Let w be q(19). Let k = -56 - w. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 112*u**2 - 515*u + 8. Give f(4).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25 + 5. Let n be 8\/((-42)\/y - 2). What is the highest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 7\/(21\/30) + -2. Let s be (-1)\/4 + 18\/w. Suppose -4*n + 2*p = -s*p - 20, -n - 2*p = -14. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4091)\/3*6\/(-260). Let i = v - -2\/65. Let n = -5\/191 - 2755\/4202. What is the common denominator of n and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7735.385 tonnes in kilograms?\nAnswer: 7735385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 269 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 542\/6 - 6\/(-9). Let j = -2267 + 2280. What is the highest common factor of j and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (282\/(-66) - -4)*(-2)\/(-6)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-36)*4\/2)\/((-3)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -28, -63, -116, -193, -300, -443, -628?\n\"Answer: -g**3 - 3*g**2 - 19*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**7\/(q*q\/(q*q**(-1\/4)\/q))*q**(-9)\/(q**(-3\/4)\/q) assuming q is positive.\nAnswer: q**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -8*g - 5. Suppose 3*d = -3*t + 33, -3*t + 2*d = -6*t + 29. Suppose -12 = t*k - 376. What is the remainder when k is divided by z(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1497 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:08 PM and 6:54 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4341 and 3930.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/5*5*-5*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 17, -1, -0.14, 2, -693?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the first derivative of t**4\/10 - 2*t**3\/3 + 7*t**2\/5 - 6*t\/5 + 51. Suppose x(q) = 0. Calculate q.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 6*u = q - 3, -u = 2*q - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 119\/4 or -3?\nAnswer: 119\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:43 AM and 12:35 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 42, -3, 11.\nAnswer: -3, 11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3281 - 59041\/18. Find the common denominator of 700\/(-696) - 8\/(-6) and q.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y + y + 0*y + (2 - 4 + 4)*(3*y - 5*y + 4*y)*(-3 + 5 - 1))*(321*y**3 + 244*y**3 + 163*y**3).\nAnswer: 1456*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36209447 is divided by 1179?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 308 divided by 839095?\nAnswer: 308\/839095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be (145\/210)\/1 - 1. Let n = u - -1\/7. Let h = 0.3 - 0.2. Is h smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of 0*z + 7\/4*z**4 + 5\/2*z**2 - 10 - 5\/3*z**3. Let r(u) = -2*u + 0*u**2 + 3*u**2 - 3*u**3 - u**2. Determine -2*g(y) - 5*r(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -507377.36 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put together -113431 and -637935.\nAnswer: -751366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.131 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -5 - 73*z**2 + 75*z - 70*z + 71*z**2. Let d(i) = -i**2 + 2*i - 2. Suppose 2*h = 3 + 3. Let l be (5\/4)\/(h\/12). What is l*d(u) - 2*c(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 5 - 3)*(0 - 3 + 1)*(-9 - 337 + 18)*(0 - h + 0)*(-4 + 2 + 0).\nAnswer: 2624*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 21185.3799 milliseconds?\nAnswer: 0.00024520115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (561\/1071)\/(9\/21) + (-4)\/18. Solve b + 10*l - i = 11*l, l + 1 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 9*7\/735*(-10)\/(-2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/1013980 and 38\/10475.\nAnswer: 5069900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -3*o. Let x(k) be the first derivative of 0*k - 2 + 3\/2*k**2. Give x(r(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xi when two letters picked without replacement from nxnnnxxnixxxxvxx?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -0.5 (b) 0 (c) 0.04961 (d) 68 (e) 4 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-180)\/35)\/((-6)\/28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) + sqrt(11)*1)*-3 + sqrt(11) + (sqrt(22)\/sqrt(2)*5)**2.\nAnswer: -5*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -441*d + 3*v - 3 = -437*d, -4*d = -2*v + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -28595.281 minus 265.649?\nAnswer: -28860.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 575 - -1021.735486.\nAnswer: 1596.735486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8 + -3*(-7 - -9). Solve 2*s - 10 = -3*a - h*a, -4*a + 2*s + 26 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -208, -924, -1650, -2392, -3156, -3948?\nAnswer: -4774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2793\/13 + 215. Suppose -6*z = -9 - 9. Suppose 1 = 3*u + z*s + 16, 3*u = -5*s - 19. Put 4, w, u in decreasing order.\nAnswer: 4, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34856 times 41?\nAnswer: 1429096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-16)\/228)\/((-2)\/(-3)*-1). Which is the closest to -0.5? (a) 5 (b) v (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 - 9*v + 2. Give y(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 2931\/19630?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3998448 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -12488, -12481, -12438, -12341, -12172, -11913, -11546?\n\"Answer: 3*d**3 - 14*d - 12477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 10, 63, -1\/2, -13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-6*3*2*sqrt(1575))\/((sqrt(729)*-1 + 1*-2*sqrt(9))*5)*3)**2.\nAnswer: 81648\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1714 (b) -1 (c) -146\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of -1243*q**4\/4 - 860*q**2 - 1672*q. What is the first derivative of u(x) wrt x?\nAnswer: -7458*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 954232051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1061, -26, 2 in descending order.\nAnswer: 1061, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 + a**2 + a + 9. Give z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2530 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*p - 3*r, 14*p - 12*p - 5*r = 9. Sort 4, p, -1, 1 in descending order.\nAnswer: 4, p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -121*j**2 - 4*j + 133*j**2 + 3*j.\nAnswer: 12*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -d06c4 - 2?\nAnswer: -d06c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -364*j = -366*j + 144. Let d = j - -11. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -497, -1463, -3075, -5333, -8237, -11787, -15983?\n\"Answer: -323*b**2 + 3*b - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 15 + 3 - 10 - j + 14. Let z be u(14). Suppose z*c = 28 + 28. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a factor of 657198145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 74434651 to the nearest integer?\nAnswer: 8628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 + 26*c - 2. Let o be s(7). Let m = o - 70. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 3319*v + 43143. Determine x(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24004 divided by 570.\nAnswer: 12002\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 - 4*y**2 - 6*y + 4. Let q = 58 - 47. Let l be (-31)\/(-6) - q\/66. Determine d(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 51 + -48. Solve -4*t + 20 = 5*l, -5*l - h*t + 12 = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-q - 2*q + 4*q)*(-3 + 4 - 2 + (0 - 5 + 4)*(3 - 3 - 1) - 7 + 2 + 1) to the form w + y*q and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-12))\/(22*8\/(-128))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from tttrtrtrttttrttr.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -695 divided by 3?\nAnswer: -695\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -4*q**2 - 4*q. Let f be w(-3). Let a be 8\/f - (-14)\/6. Solve 16 = 2*n + 2*i, -n = -a*n - 5*i + 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2716550417 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 2 (b) -0.2 (c) 0.564 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 2*i**2 + 7*i - 6. Let j be v(1). Calculate the smallest common multiple of (-12)\/j + (-6 - -12) + 4 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - -948?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 240719048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -21955400 divided by 72700?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b = 3*b + 6. Suppose -5697 = -t - d, -2*d - 2742 - 8664 = -b*t. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -8574776 - -4?\nAnswer: -8574772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -705*s**4 - 64*s**2 + 152*s**2 - 88*s**2 + 206 with respect to s.\nAnswer: -2820*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*t + 3*b - 290 + 260, t + 5*b = 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*a**2 + 22*a + 2*a**3 - 1 - 69*a + a**4 + 30*a + 20*a - 3*a**4 to j*a**2 + b + g*a**4 + x*a**3 + v*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 8*l**3 - 2*l**2 + 2*l - 1. Calculate the remainder when w(2) is divided by 16\/(-88) - (-134)\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -83 - 229 = -78*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mymttyttyyt. What is prob of picking 3 t and 1 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1210940 rounded to the nearest 10000?\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5.18 + 5. Let s = 0.179969 + b. Round s to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1074 and 63967440.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3488819557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -102 < -157926\/1535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(25)\/(sqrt(5) + 5*sqrt(15)\/sqrt(3)) + ((sqrt(20) + sqrt(20) + sqrt(80) + -4*sqrt(80))\/sqrt(4))**2.\nAnswer: sqrt(5)\/6 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 + 1)*(7 - 5 - 8)*(2*d - 5*d - 4*d) to the form k + n*d and give n.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -15227 (base 8) in base 9?\nAnswer: -10303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1297 = -107*u + 227 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 11*d - 1310. Let p be a(119). Let k = -2\/5673 - -5881\/589992. Is p at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 8 = -g, 0 = 2*z + 3*z - 15. Suppose -g*s = -c + 16, 2*s = -5*c + 22 - 8. Suppose -u = -0*u + 1. What is the nearest to u in 1\/3, c, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2255211 and 210?\nAnswer: 22552110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1340 divided by -13?\nAnswer: 1340\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.081, -0.13, 1, 1\/10, -20 in increasing order.\nAnswer: -20, -0.13, -0.081, 1\/10, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - (35 + -7 + -54 + 70)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -7*a + 2*a, 66*a = 2*g + 206*a + 196 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -226 + 567. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -76*k + 80. Calculate the least common multiple of d(0) and 1260.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/((-3)\/(-6) - 0). Calculate the greatest common divisor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from wbswsbbsbsbsbb?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 6*r - r - 6 + 4*r - r**2 + 2*r**2. Let d be h(-10). Suppose 3*t + d - 13 = 0, -3*v + t + 342 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -77958*p - 4*g = -77971*p + 56, -p + 4*g = -56 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 156274c + 5?\nAnswer: 1562751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2097.09287 rounded to one decimal place?\nAnswer: 2097.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 344917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of 3*w**7\/70 - 3*w**6\/10 + 211*w**4\/6 - 52*w**2 - 7*w. What is the second derivative of d(x) wrt x?\nAnswer: 108*x**2 - 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*k - 0 + 30. Put -5, -19, -2, k, -1 in ascending order.\nAnswer: -19, -5, -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244383384 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 117 divided by -64\nAnswer: -117\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - (-390)\/50)*(-95)\/(-38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3255)\/30380*(-14)\/36?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -30121961 or -30121960?\nAnswer: -30121960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**2 + 12*q + 12. Suppose -4*t + 8 = 8. Suppose t*i + 5*i - 225 = 0. What is the remainder when i is divided by n(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2245 by -2.\nAnswer: 2245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10222*j**3*n*r**3 - 3*j**3*n*r + 25*j**2*r**3 - 2*j**2*r**2 - 24*j*n*r**3 + n wrt j?\nAnswer: -61332*n*r**3 - 18*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 501153.3ug in kilograms?\nAnswer: 0.0005011533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1515810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 - 6*a**2 - 7*a - 7. Give l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q - 3*q + 5*q + (1 - 13 + 33)*(2*q + 1 - 1))*(-4*q + 4*q - 2*q**3).\nAnswer: -86*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-30))\/(276\/(-1035))*-36\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.306 + -0.306. Which is the fourth biggest value? (a) -5 (b) k (c) 7\/16 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -40 (base 16) in base 15?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 7*z - 3. Suppose 2*x = x - 4*n + 9, 0 = -5*n. Calculate the remainder when p(4) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 267 + -113. Let x = -21 + v. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 23808*f + 31076?\nAnswer: 23808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + f)*(0 + 0 + 1) - 128*f - 105*f + 220*f - 12*f + 0*f + 4*f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a + 1. Let q be u(3). Let v(d) be the third derivative of d**5\/60 - d**4\/24 - d**3\/2 + 16*d**2 - d. What are the prime factors of v(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 210 divide 80430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3348127, 3348125, 3348123, 3348121, 3348119?\nAnswer: 3348117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 + 22 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve a - 161 = -4*t + 125, -52*t - 79 + 0 = -53*t - 4*a for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 + 5. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6870.1 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 6 = 2*l + 1, 5*l - 7 = 3*c. Let j(g) = 2 + 0 + 7*g**l + 3*g + g. Is 10 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or -3654\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -35088*n**6 - 379*n**5 + 100*n**2 + 40282*n.\nAnswer: -4210560*n**3 - 22740*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 0.2, -3, 3, -19\/2, 0.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5956125 years to months.\nAnswer: 7.14735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -613*z - 100 = -593*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-10)\/(-6))\/(-5))\/(6\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-1)*b)**(-14)*(b*b**(-4\/9))\/(b\/b**(1\/4)) assuming b is positive.\nAnswer: b**(-511\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1025360 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 1 = -2*s. Suppose 2*h + 28 = 6*h - 2*p, 3*h + 4*p = -s. Find the first derivative of -3 - 2*a - 5*a + 3*a + h*a wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3159*m*y - 849066*m - 21*y**2 wrt y?\nAnswer: 3159*m - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-32)\/3)\/(9\/27). Let u = c - -45. Calculate the remainder when 23 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14014 + -7362. What are the prime factors of z?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tzttjzttjzjtttqqj. What is prob of sequence qq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7275 and 582?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 15 divided by -99\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*r - 5*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 6*r + 17. Determine f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 205? (a) -2\/11 (b) 0.06 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*l + 60*l - 22*l - 44*l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 3 - 157*q + 6 - 2045*q + 330*q)*(-17*q - 20*q + 38*q) to the form s*q + v*q**2 + g and give v.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 PM and 1:37 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*w + 28 - 8. Let v be (4 - (-12)\/(-3))\/(w\/2). Suppose v = -23*x + 8*x + 30. Solve -15 = -x*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 201701351 a multiple of 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65*s - 74*s + 217*s - 21*s**3 - 76*s.\nAnswer: -21*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1821*n**2 + 3257*n**3 - 1821*n**2.\nAnswer: 3257*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + 36\/9 - (-418)\/1. Let u = s + -320. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 0, 1, 2, -16 in decreasing order.\nAnswer: 2, 1, 0, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m + 2. Suppose v + 11 = 4. Let d(n) = 3*n + 3 + 4*n - 4*n + 3. Determine v*o(c) + 2*d(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -6*r**2 + 88*r + 810. Calculate c(18).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 193*f - 23 = 190*f, 0 = -3*f + 3 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1777.3333 + -1908.35. Let p = -235 + 104. Let h = v - p. What is h rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1876275 a multiple of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -11? (a) -0.2 (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3648149?\nAnswer: 17, 53, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10293816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2901 is divided by 155.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10986921 to the nearest integer?\nAnswer: 3315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g - 28. Let k be j(-25). Let w be 39\/(-24)*-2 + k. Which is the nearest to w? (a) 3\/7 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -292.0191 - -292. Let n = t + -0.2219. Let s = 0.38 + n. Round s to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 AM and 5:05 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 343\/5*f**5 - 664\/5*f**2 - 176\/5*f - 16\/5 - 49\/5*f**4 - 896\/5*f**3.\nAnswer: (f - 2)*(f + 1)*(7*f + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/185707677 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4853952*s**2\/5 + 5182128*s\/5 - 1383123\/5.\nAnswer: -3*(1272*s - 679)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Is -5 less than 16050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*k + 4337 - 2169 - 2170 + 15*k**2 + 13*k**3 to the form u*k**2 + y*k**3 + n*k + t and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 0, 41, 114, 225, 380, 585?\n\"Answer: u**3 + 10*u**2 + 4*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 5 + (24 - (-7 + 10 - -9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d + 7. Let t be u(3). Suppose -6 = -3*i - 3*g, 4*i + i - 19 = t*g. Let s = 0 + i. Solve 2*v - 10 = -s*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 107831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*t - 28*t = -27*t + 66*t - 5782 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -6*f - 50. Let t be z(-12). Solve -2*l = 4*r + t, -6*r = -3*l - 3*r + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 51 + -63c?\nAnswer: -5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3792466 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 13) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 61834*-29.\nAnswer: -1793186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7191.83463042 - -0.06063042. Let l = t - -7276.7. Let z = l + -85. Round z to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 3*t**3 - t**2 - t + 2. Let m be i(2). Suppose -3*a = -13 - m. Suppose 5*h - a = 9. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2574395020 and -0.4?\nAnswer: 2574395019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1434)\/19359)\/((-16)\/4122) + -19?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -4 * 8.681\nAnswer: -34.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 7\/((-126)\/(-15))*9\/(-6)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 6*j + 11. Calculate a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3*20\/7*398\/(-14328)?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29550 is divided by 3276?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 150, 148, 136, 108, 58, -20, -132, -284?\n\"Answer: -v**3 + v**2 + 2*v + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4 and -2097446.7016061?\nAnswer: 2097450.7016061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -44958480 divided by -458760\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 5)*(-16*q**4 + 13*q**4 - 7*q**4 + (2*q**2 - 2*q**2 - q**3)*(5*q - 4*q - 3*q) - 2 - q**4 + 2 + 2*q**4 - q**4 + q**4 + q**4 - q**4 - 2*q**4).\nAnswer: 45*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 1132.667 to the nearest 10.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -14 - (0 - (-90 - -136))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -103573794 to the nearest 10000.\nAnswer: -103570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.15, 166010, 5, -6 in decreasing order.\nAnswer: 166010, 5, -0.15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 86812 >= 86692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 38 = -122. What is the greatest common divisor of 32 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 686 - 8?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 38 = 2*u. Let f = 23 + u. Solve -5 = -4*h - k - 22, -f*h + 8 = -4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -121 - -170. Let v = 49 - n. Suppose 0 = -2*a - 3*q - 2*q, -a - 3*q = v. Sort 1, 5, -1, a.\nAnswer: -1, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 212365, 212560, 212753, 212944?\n\"Answer: -s**2 + 198*s + 212168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -3, -6, -1, -0.0755, -4?\nAnswer: -0.0755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + 210121222?\nAnswer: 210122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 85*y**2 + 57*y - 15. Let d(c) = 43*c**2 + 30*c - 9. Give -5*d(v) + 3*t(v).\nAnswer: 40*v**2 + 21*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 123 a factor of 13479153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (-6)\/(-24)*28.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 79515 by 2945.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 4) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/((-216)\/8)*15*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 13925616?\nAnswer: -1\/13925616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 + -4)*18\/(-648). Let z(v) be the first derivative of 0*v + n*v**3 - 4 - 1\/8*v**2. Factor z(u).\nAnswer: u*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 241800 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-32)*(39 + -41).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000010494129075 to seven dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**2 + 9*z + 3. Let v be 42\/(-4)*(-12)\/(-18). Let f be 2*(-3)\/6*v. What are the prime factors of d(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 125251703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of p**4\/54 - p**3\/27 - 8*p. Suppose u(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-782)\/(-786) + 1\/(-1). Let k = 53813762 - 401827361602\/7467. Let x = l + k. Is -0.2 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34 - 4 + 96*k**2 - 18*k**2 - 33.\nAnswer: 78*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(320) - (sqrt(320)*1 - sqrt(320))*3) + (2*sqrt(320))**2 + 4)*-4.\nAnswer: -5136 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 336510 and 1080.\nAnswer: 4038120","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let t = -132 - -134. Let d = 10 - 6. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2137*m**5 - 241*m**4 - 5*m**3 - 4496531*m**2 wrt m.\nAnswer: -128220*m**2 - 5784*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -145415 by 127.\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18600 and 8195625.\nAnswer: 65565000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 13*z**2 - 222*z + 23. Let a be q(17). Sort 10, a, 5, 4 in decreasing order.\nAnswer: 10, a, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 35*x**4 + 3*x**2 - 12*x + 147897 wrt x?\nAnswer: 140*x**3 + 6*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -4*y - 6. Let p(s) = 8*s**2 - 9*s + 9. Let g(c) = c**2 - c + 1. Let m(q) = 18*g(q) - 2*p(q). Determine m(b(o)).\nAnswer: 32*o**2 + 96*o + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18.87 - 19. Let x = 5 + -4.9. Is x < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n - s = 11, n + 967 - 956 = 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 921 and 1965136779.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -274, -2, -1, 6, 3 in ascending order.\nAnswer: -274, -2, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 105.7 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2*6*(((sqrt(363) + 4)**2 - sqrt(363))*-6 - -4*5*sqrt(363))*4.\nAnswer: -109155 - 11616*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -153*y - 31*y + 68*y = 6148 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 256, 252, 258, 280, 324, 396?\n\"Answer: a**3 - a**2 - 8*a + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-3))\/1*105\/(-28)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -94 + 257\/3. Let s be 293\/(-770) - (-2)\/5. Let r = s - 1623\/308. Find the common denominator of r and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 7, t: 12, e: 1}. Give prob of sequence mtm.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find s such that s**2 - 119958*s + 3597480441 = 0.\nAnswer: 59979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*a + 0*a - 9*a + (-4 - 1 + 4)*(-5*a - a + 5*a) + 4*a + 0*a - 2*a + (-a + 0*a + 2*a)*(0 - 2 + 3) + 2*a + 1 - 1.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (933\/7772)\/((-867)\/218 - -4). Let q = k + -4\/5829. Find the common denominator of -34\/9 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-3 + (4*sqrt(76))**2).\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1532 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -124844, -249695, -374544, -499391?\n\"Answer: n**2 - 124854*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04 + 34327.153?\nAnswer: 34327.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-8)\/(-96)*44 - 4. Let m = 12 - 10. What is the third smallest value in 2\/7, 2\/9, w, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 509176284.\nAnswer: 2, 3, 42431357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -10*z + 14. Let k(u) = -u - 4. Let h(w) = 3*k(w) + m(w). Give h(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 20102422 (base 5) in base 6?\nAnswer: 3231305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 323035442?\nAnswer: 2, 1123, 143827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 87\/12056 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 18*x**3 - 7*x**2 + 8*x - 4. What are the prime factors of m(4)?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -224, -218, -208, -194?\n\"Answer: 2*t**2 - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 315633013?\nAnswer: 29, 283, 38459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 113\/23706 and -47\/11529?\nAnswer: 10122462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 4*y - 2956 = 0, -11*h + y = -10*h - 592. Suppose 484*n + h = 490*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bgz when three letters picked without replacement from {g: 1, z: 1, b: 3, a: 1, s: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -2*o - 1. Let t be p(3). Let a be (1 + t\/5)*-30. Suppose c - a = -3*c. Let l(h) = h**2 - 4*h + 2. Determine l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the second derivative of -11*x**3\/3 - 3*x. Let n(k) = 2*k**2. What is y(n(j))?\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -55*q**2. Let n(m) = -3*m**2. Calculate l(n(c)).\nAnswer: -495*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: c9 (base 13) to base 8\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i + 7. Let z be q(5). Let p(u) = 121829*u - u**2 - 121827*u + 5 - 1 - 3. Give p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**3 - 4*t**2 + 3*t. Let p(u) = -u**3 - 2*u**2 - 2*u - 3. Let l be p(-2). Let r be l - 9\/(36\/(-8)). Calculate c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**3 - c**2 + c + 287. Let x be g(0). Calculate the highest common divisor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + 232348?\nAnswer: 232354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, j: 2, k: 3, p: 1, x: 6}. What is prob of sequence jj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -3*q**2 + 2*q - 5. Let u be v(-6). Let g = 45551 - 45554. Which is the second biggest value? (a) u (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32081 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: Expand (3 + 4 - 5)*(0 - 2*s**2 + 0) - s**2 - 3*s + 3*s - 3*s**2 - s**2 + 5*s**2 + 4 + 10*s**2 + 3 - 5.\nAnswer: 6*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130 = 9*q + q. Let z(s) = -s**3 + 14*s**2 + 6*s - 9. Let m be z(q). Suppose -4*g - 4304 = -4*c, -m = c + g - 1308. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -2*w**3\/3 + 184*w**2\/3 - 182*w\/3 = 0.\nAnswer: 0, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*g - 39*g**3 + 2*g + 35*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*s = -96*s + 99. What is the derivative of 11 - 6 - 42 - s*u**3 - 32 wrt u?\nAnswer: -99*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/3 - (-8)\/(-2). Let i = 21 + l. Let c(n) = 3*n - 4. Calculate the smallest common multiple of c(8) and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + 1001012112?\nAnswer: 1001012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + c - 2*c)*(5*c + 33 - 10*c + 6*c).\nAnswer: -2*c**2 - 66*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of (17 + -9 - 8) + 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -211, -244, -277, -310, -343, -376?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 174591 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 171793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-72)\/108*(-7)\/(-70).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:20 AM and 9:39 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 990000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, s: 2, h: 3, y: 5}. Give prob of sequence ylsl.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 3 = -3*n, 2*g = 4*n - 16. Calculate the smallest common multiple of (-611)\/(-91) - 4\/g and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**0\/s)**29)**35*(s*s**(-1))\/s**(-1\/4)*s**(2\/21)*s*s**(2\/3)\/s assuming s is positive.\nAnswer: s**(-85175\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2 - ((1 - -5) + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 34 = 3*c - 5*z, -4*c + 2*z = -52. Suppose 0 = -4*i - 0*i + c. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*m, 0 = -0*l + l + 5*m - 9. Suppose 3*k = -2*b - 144, b - 3*k + 216 = -2*b. Let f = -67 - b. Solve l*v = f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 12\/9*((-9)\/(-6))\/(-1). Let h(x) = 11*x + 52. Let j be h(-5). Let m = 5.45 + -0.45. Sort v, m, j in ascending order.\nAnswer: j, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 688271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 506578531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -4*v**3 - 6*v**2 - 13*v + 1231. Let z(s) = s**3 + s**2 + 2*s - 6. Calculate i(j) + 6*z(j).\nAnswer: 2*j**3 - j + 1195","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -135*g**5 + 7*g**2 - 9*g.\nAnswer: -8100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 5*p - 19 = 2*k, -p + 1 = 0. Suppose 0 = -4*l - l + 2400. Suppose -6*s + l = -s. What is the highest common factor of s and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(1\/28)\/b*b\/(b\/(b*b**(3\/7))) assuming b is positive.\nAnswer: b**(13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a - a + 2*a)*(25 + 25 + 34*a - 51).\nAnswer: -102*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1948 - -1946. What is the closest to -1 in 3, b, -4\/25, 0.1?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-445)\/(-2) - (-2)\/(-20)*5. Suppose 3*t - 3*q - 93 = p, -4*q = 5*t - 561. Let w = -14 + t. What are the prime factors of w?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24 + 36. Suppose 146 - 13619 = -526*k + 729. Solve -5*l + 4*c - k = 0, 2*l = l - 5*c + p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14 - 12. Suppose 3*t + 2*w = -22, 3*t - m*w + 10 = 2*w. Let y(j) = -j**2 - 7*j + 6. What is the remainder when 33 is divided by y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s**2 - 20*s + 8. Let b be ((-20)\/6*-3)\/1 - 0. Let u be z(b). Put u, 2, -1 in descending order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3 + 84\/(-35))*(-10)\/6. Suppose -14*c + h*c = -3555. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/8, -1.5, 1\/4, -4 in descending order.\nAnswer: 1\/4, -3\/8, -1.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((-68)\/(-272))\/(2\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(2 + 5*(-4 + (3 + sqrt(288) + sqrt(288) - sqrt(288) - sqrt(288) - sqrt(288)) + 2))**2*-1.\nAnswer: -14498 + 1680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -120424 smaller than -120424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) 2\/19 (c) -59 (d) 0.4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37 - (3 - 3)\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1054175*f - 185247*f + 81436*f.\nAnswer: -1157986*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (125852 - 125852 - 159*a)*(-3*a - a - 10*a) to d*a + z*a**2 + j and give z.\nAnswer: 2226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2b7 (base 12) to base 16\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2057247, 2057257, 2057273, 2057295, 2057323?\n\"Answer: 3*d**2 + d + 2057243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**2 - 53*t - 396. What is c(-44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-118)\/(-120) - 500\/400.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10472\/(-104))\/11 - -9.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 + 85*u - 8226. Determine o(56).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2*(3 + -1) - -9 - 0. Suppose -s*a + 7*a - 8 = 0. Suppose -5\/3*p**a + 0 + 1\/3*p**5 - 7\/3*p**2 + 2\/3*p + 3*p**3 = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*b*f**3*q - 26*b*f**2 - 5*b*f*q - 6*b*x - 2*f**3*q*x - 2*f**3*x wrt q.\nAnswer: -6*b*f**3 - 5*b*f - 2*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z**5\/4 - 115*z**4\/4 + 821*z**3\/4 + 4335*z**2\/4 + 892*z - 425 = 0. What is z?\nAnswer: -2, 1\/3, 17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 20.68 - 24.68. Let d be 5\/((-2)\/(4\/2)). Let x = d - 0. Which is the third smallest value? (a) -3 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -507 + 220. Let o = p - -299. Solve -4*v = -0*v + o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 23 - 8. What is the remainder when p is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of -4*m**5\/15 - 11*m**3\/6 + 17*m**2. Differentiate r(z) with respect to z.\nAnswer: -32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 114087620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -491*a - 4 = -492*a. Solve 2*q + 12 = -4*y, -4*q + 5 = a*y + 25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 + 3*z**2 - 10*z + 5. Let g(s) = -14*s + 95. Let j be g(8). Let l(d) = 3*d**3 + 9*d**2 - 29*d + 15. Let k(y) = j*r(y) + 6*l(y). Give k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48905 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.389062 centuries in decades?\nAnswer: 3.89062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 473068 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -b6e74 (base 15) to base 2.\nAnswer: -10001101101100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.28 in -81, 277.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-223)\/5 + 6\/(-15). Let g = p + 75. Suppose 77*z - 45 = 68*z. What is the greatest common factor of g and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*u - 31*u + 37*u - 36*u - 38*u.\nAnswer: -93*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20 + 47. Suppose 0*x + 4*a = 5*x + 95, 0 = 2*x - 3*a + 38. Let m = f + x. Calculate the smallest common multiple of 18 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000065069 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5567.7 + 5567. Sort -25, w, -2 in decreasing order.\nAnswer: w, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 771 and 3479523?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2918, -33, 8\/5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84 is divided by (-50)\/6*((-72)\/10)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13991 - 13952. Let a(u) be the second derivative of 1\/6*u**2 - 1\/9*u**3 + 0 - h*u + 1\/36*u**4. What is g in a(g) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 59177\/173 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 7 = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*15 + (2 - -1). Let c(k) = 5*k - 11. Suppose 20*z - 21 = 17*z. Let l be c(z). What is the greatest common factor of l and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 137735, 137740, 137741, 137738, 137731, 137720, 137705?\n\"Answer: -2*p**2 + 11*p + 137726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 171654900 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 120893?\nAnswer: 53, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 9 + (-12 - -3) + 7 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 15 = -2*n. Let p(g) = 4*g**2. Let q be p(1). Suppose -2*f - 6 = 0, -q*f = -n*w - 2*f + 26. Solve 13 = z + 3*c - 0, 12 = 4*z + w*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11945 - -11941. Let o = 21.1 + -21. Which is the fourth biggest value? (a) -0.3 (b) o (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1439661684 divided by 359915421?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -477 (base 16) in base 15?\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 18 = 13. Suppose -3*z + 2*z + 4*p = -10, -4 = -z + 2*p. What is the closest to 1 in z, -2\/15, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 3 + 4)*((-2 - 1 + 4)*(0 + 0 - m) - m + 5*m - 2*m + 1 + m - 1 + 3*m - 2*m - 2*m + m - 4*m + m) in the form t + z*m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 795, 790, 785?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/3 greater than or equal to -1.7339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-16)\/(-64))\/((-1)\/18)*-90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*f**5\/9 + 760*f**4\/9 + 74444*f**3\/9 + 426368*f**2\/9 + 632434*f\/9 + 279752\/9 = 0. What is f?\nAnswer: -187, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/8*b**5 - 81\/8*b**3 + 0 - 41\/8*b**2 + 0*b - 39\/8*b**4.\nAnswer: b**2*(b - 41)*(b + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 52288784 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.0264, -427620, 0.5 in increasing order.\nAnswer: -427620, -0.0264, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 2801343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 357299680 to the power of 1\/2, to the nearest integer?\nAnswer: 18902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -1. Let y(n) = -n**2 - 16. Let q = 4301 + -4302. What is q*d(t) - y(t)?\nAnswer: t**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be 299\/(-520) + 6\/16. Let u = 1.8 + -1.3. What is the closest to -2 in s, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5607200 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 3*w = -12, 0 = -4*n + 5*w + 4 - 20. Suppose j + 6 - 3 = 0. Put n, 2, j in descending order.\nAnswer: 2, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -16*x - 89*x - 4 - 4 + 16. What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*g**2 + 0*g**2 + 0*g**2)*(-4 - 2*g + 4) + 13*g - 13*g + 8*g**3)*(77 - 329 + 8).\nAnswer: -976*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 + 9*l**2 + 17*l - 11. Let a(c) = c**2 + 73*c + 906. Let x be a(-16). Give z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4319ad (base 14) to base 2.\nAnswer: 1000101010011111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -3 + 4 + -14 + -23.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 50114564 to the power of 1\/2, to the nearest integer?\nAnswer: 7079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 3*n**2 - 5*n + 3. Let s be d(3). Suppose -c + s = 3*a, -c + 5*a = 2*a + 9. Suppose -c*y = -0*y - 111. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -15 - 24 + 65 - 47 + 3*f as l + n*f and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - 3. Let l be (-36)\/(-213)*(0 - -1)*(-42)\/84. Is l at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (5\/(-5))\/(-1)*0. Suppose -1 = -3*s + 8. Sort s, 1, u in descending order.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-4) + 135\/252)*35\/(-40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(-5) - (1 + 90\/44).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2730296 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: Evaluate (-4 - (-34)\/8) + (-1)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*k + 0*k - 8*k)*(-71 + 71 + 42*k)*(2 - 2 + 2) as c*k**2 + b*k + n and give c.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 68924362, 68924368, 68924384, 68924416, 68924470?\n\"Answer: o**3 - o**2 + 2*o + 68924360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**2 + 3*f - 2. Let w be a(2). Suppose 10 = -2*s + 7*s. What is o in w*o + 1\/2*o**s + 1\/2*o**3 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -165529307*o**4*t - o*t + 3*o + 136*t + 18433 wrt o?\nAnswer: -1986351684*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -559\/25, 1 in ascending order.\nAnswer: -559\/25, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 32*h**3 - 5*h**2 - 5*h - 5. Let d(c) = -c**3 - c**2 - c - 1. What is 15*d(x) - 3*v(x)?\nAnswer: -111*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 360?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 12 = -4*w, -4*f - 2 = 3*w - 21. Solve f*y - 2*h - 7 = 9, -5*y = -4*h - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 9*z - 19*z + 7*z. Let j(b) = b. Let m(c) = -58*c + 175. Let v be m(3). What is v*u(s) - 6*j(s)?\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 586.03 + 14.97. Let p = b - 601.00361. Round p to 4 dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/23420 and -29\/21078?\nAnswer: 210780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 20 = -6*j. Let b = j + 6. Let i(y) = -5*y + b*y + y. Let k(l) = -3*l**2. What is i(k(h))?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 29? (a) -0.042 (b) -17 (c) -2\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(38))\/sqrt(2) - (2*sqrt(209))\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) - (6*(sqrt(85)*-1 - sqrt(85)) + sqrt(85)))\/(sqrt(320) - sqrt(5))*-5.\nAnswer: -60*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 19 * 64418.\nAnswer: 1223942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -47, -208, -485, -884, -1411, -2072?\nAnswer: -2873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14575, 116695, 393873, 933637, 1823515, 3151035, 5003725?\nAnswer: 7469113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 13000152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 4 + sqrt(95)\/sqrt(45) + 2 + 2 + sqrt(19))**2.\nAnswer: 32*sqrt(19)\/3 + 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8.06 + -7.06. Is u greater than -2\/831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6814248967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 801052.1ng?\nAnswer: 0.0000000008010521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 1, l: 1, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -892 times 2.8?\nAnswer: -2497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 143 + -137 + (0 + -1 - -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2. Let a(h) = -290*h**2. Determine a(j(l)).\nAnswer: -290*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 + -4. Let q = 43 + -31. Let h = 85 - 83. Solve -s*x + 4*v = -q, 0 = x + h*v - 0 + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the second derivative of -y**6\/380 - 7*y**5\/1140 - 35*y**3\/6 - y**2\/2 + 187*y. Let l(v) be the second derivative of c(v). Let l(w) = 0. Calculate w.\nAnswer: -7\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 57912288 to the power of 1\/2, to the nearest integer?\nAnswer: 7610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 15, -5*d + 10*d - 2931 = 2*p. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.1 + 0.3. Let f(g) = 2*g**3 - 12*g**2 - 4 - 4*g**2 + 2 + 1. Let k be f(8). What is the nearest to z in k, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 306 and 1140?\nAnswer: 58140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2744 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h**4 - 1432*h**3 - 256328*h**2\/3 = 0. What is h?\nAnswer: -358\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 59067716 to the nearest integer?\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/50*4*(-10)\/(-4). Put t, -16, -2\/11, 2\/7 in decreasing order.\nAnswer: t, 2\/7, -2\/11, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -519409815\/694 + 748429. Calculate the common denominator of 61\/26 and w.\nAnswer: 9022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 105*v + 59*v + 48*v to the form q + z*v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 81 - 84. Let b(h) = h**3 - 4*h**2 + 4*h - 4. Let t be b(3). Put t, p, 5 in decreasing order.\nAnswer: 5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 - c**2 - c + 2. Give p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 - 3)*(-27 + 680*n + 112*n + 27).\nAnswer: -1584*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 185, 348, 815, 1736, 3261, 5540?\nAnswer: 8723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3731 + -3720. Solve 18*i = q - 29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3160.314619 + -3160.3. What is x rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 477491 is divided by 17053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -66 divided by -12?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3.29128 minus -1717916?\nAnswer: 1717919.29128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 9.16996 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -6. Let w be (-2 - 22\/(-6))*(9 - -6). Suppose 2*h + 5*l = -8 - 11, w = -5*l. Solve 0 = -h*x + 13 - g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 2\/11, 1\/16 in increasing order.\nAnswer: 1\/16, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 21, 93, 221, 405?\n\"Answer: 28*s**2 - 12*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -45792.55 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 129\/886?\nAnswer: 129\/886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.11, 0.1, 5.7, 25, 4 in increasing order.\nAnswer: -2, -0.11, 0.1, 4, 5.7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -486*r + 241*r - 541*r**3 + 245*r.\nAnswer: -541*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, -5, -7 in ascending order.\nAnswer: -7, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 137 = 4*y, 4*k - 166 = y + 4*y. Let v be y\/(-10) - 12\/30. Solve -v*u - 9 = -0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 2*k**2 + 19*k - 59. Let m be w(-12). Let f be 5*(6\/10 - 0). Suppose -f*c = -5*c + 6, 2*c - 26 = -4*y. Sort 3, m, y in decreasing order.\nAnswer: y, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -42 = 3*t + 4*f, -74 = -5*t + 5*f - 39 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 102315 and 160455.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 133632632 (base 7) to base 16.\nAnswer: 84b651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-136)\/(-6)*18\/12. Suppose 29*z = v*z - 5855. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 936892 is divided by 7952.\nAnswer: 6508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 139260 and 1008348.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 170413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2141 - -14216. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -12a980 - -34?\nAnswer: -12a948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - i + 1)*(52 - 56 - 40).\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -116\/765 - 6\/85. Let h = u - -32\/63. Let w be (-9 + 8)*(0 - -3). Which is the second smallest value? (a) -1\/3 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33921 is divided by 127?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.6 - -6.6. Sort g, -0.017, -0.3, 2\/7.\nAnswer: -0.3, -0.017, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*m**3 - 2061*m + 4117*m - 2059*m.\nAnswer: -8*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 2363 = 16*k. Let b = -46 + k. Suppose -95*d + 98 = -b*d. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-8\/3)*(r*r*r**(20\/11)\/r)\/r assuming r is positive.\nAnswer: r**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 300919 and 1477965?\nAnswer: 167010045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 325, 637, 949, 1261?\n\"Answer: 312*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 901962818 to the power of 1\/3, to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 18 - -243839?\nAnswer: 243857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -5*((-21)\/(-2730))\/((-1)\/4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1, -17, -83, -221, -455, -809, -1307, -1973?\nAnswer: -2831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 PM and 10:12 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 16.7 + -0.7. What is the second biggest value in t, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3+780006602\nAnswer: 780006601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 7 = 11. What is the smallest common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -635149, -1270267, -1905385, -2540503?\n\"Answer: -635118*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4196 - 2727. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3*2)\/(-3) + 9. Suppose -4*j + y + 1 = 0. Suppose j*h + 2 = 16. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 2*t**2\/9 + 7054*t\/3 + 548860\/9 = 0.\nAnswer: -10555, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 533 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + u - 457 = 0, -7*c - 5*u + 261 = -4*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (30\/(-25) - (-78)\/65)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12 + -12. Suppose q*u - 5*u = 820. Let y = 817\/5 + u. What is the third smallest value in -4, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18115 divided by -5.\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 39979062 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(1\/18)\/(x*x\/x**(6\/13))*(x*x**(-2\/3))\/x**(11\/5) assuming x is positive.\nAnswer: x**(-3919\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 PM and 6:08 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 50.6? (a) -3 (b) -5 (c) -0.06 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nain when four letters picked without replacement from {n: 8, a: 7, t: 1, i: 4}.\nAnswer: 196\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (7 - (2 - -1)) + -3. What is the units digit of ((-3)\/(-3))\/(2 - b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -3*l**3 + 203*l**2 - 2934*l - 39. What is h(21)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 78.13*704.\nAnswer: 55003.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 102, 97, 92, 87, 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*o**3 - 4*o**3 + 4*o**3)*(-o**2 + o**2 + 2*o**2) + (-21*o**2 + 140*o**2 - 22*o**2)*(-2*o**2 + o**3 + 2*o**2).\nAnswer: 85*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be 21976\/32 + (-55)\/(-44). Let v = r + -688. Solve 14*o - 10*o + 12 = v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 2 = -2*g - 13, -2*g = 6. Is 2 a factor of 2*(9 - h)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 10\/18)*(-126)\/(-105). Let a(j) = -j**3 - 5*j**2 + j + 7. Let z be a(-5). Suppose -d + 7*n - 1 = z*n, -5*d = -4*n - 16. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 23404 - -2406?\nAnswer: 26012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -343*s + 146*s - 329*s - 90*s to l*s + r and give l.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 4*l**2 + 5*l + 10. Calculate the remainder when q(-5) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9*-1*3\/1*(-1)\/72?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3795264 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of 0*s**2 + 0 - 2*s - 1\/6*s**4 + 0*s**3. Let o(q) = -3*q + 9. Let f(k) = k - 2. Let y(p) = 9*f(p) + 2*o(p). Calculate y(t(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.01*11\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 34330030 + -21?\nAnswer: 34330004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.4 - 0.5. Which is the closest to z? (a) -1 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 9aba95 (base 13) to base 5\nAnswer: 1413400401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 97595 + -97596. Let k be 2\/(8\/38)*2. Suppose w - 5*b + 4 = k, -19 = -5*w - 3*b. What is the fourth smallest value in q, 6\/11, w, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43.06778ml in litres?\nAnswer: 0.04306778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1723994, 1723995, 1724000, 1724009, 1724022, 1724039, 1724060?\n\"Answer: 2*a**2 - 5*a + 1723997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*x - 20 = 52*x. Find the second derivative of -151*v**x + 26*v + 120*v - 9*v wrt v.\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 39*q**3 + 7635*q**2 - 169*q + 43. Let z(s) = -8*s**3 - 1527*s**2 + 35*s - 9. Give -6*h(a) - 29*z(a).\nAnswer: -2*a**3 - 1527*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 96975\/12 + (-37)\/148 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q - 2 + 2)*(-3 + 0 + 6)*(2 - 4 + 3).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 - o**2. Let q(s) = s**3 - 6*s**2 + 8*s - 9. Let y(r) = q(r) + 2*u(r). Let n be y(-9). Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2068*u**4 + 357*u wrt u?\nAnswer: 24816*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25 + -35. Let s be (6 - 9) + 796\/l. Let r = s - -83. What is the closest to 1 in 0.2, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (-2)\/4 - -8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/44 and -23\/51632?\nAnswer: 567952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fuyy when four letters picked without replacement from {y: 3, u: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21729 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9882 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.56 - -0.44. Let u = 249 - 156. Let b = u - 79. What is the nearest to 1 in -5, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -3, 3, -14\/31 in descending order.\nAnswer: 3, 1, -14\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3988 - 11963\/3. Let l be (1\/3)\/(0 - 6\/4). What is the nearest to -0.1 in l, -4, -2, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 388*h - 106*h + 62*h to y + n*h and give n.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7.8*35.9.\nAnswer: -280.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is (-2 + 0 + -5)*-293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*c = -6*c + 392. Solve -y = 2*r + 9, 0 = -3*y + 10*r - c*r - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 9) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -25*o**2 + 411*o - 1002. Let i be y(3). Factor -b**2 - 9\/2*b**3 + i*b + 1\/4*b**5 + 0 - 3\/4*b**4.\nAnswer: b*(b - 6)*(b - 1)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 14*h - 3*s - 17 = 59, -469*s + 466*s = -5*h + 61 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-1 - -1) - (-3 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 43 - 41. Let m = 23 - 16. Let n(o) = 3*o + 3 - 1 - m*o. Give n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + 18*11\/132. Which is the second biggest value? (a) l (b) -0.02 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3 + 7 - 3)*-1. Let g(j) = 5*j**3 - j**2 - j. Let k be g(r). Let u = k - -8. Solve -u = 4*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**2 - 9*r + 12. Let o be u(9). Suppose -3*g + 2*h = 14 - 4, 4*g + 5*h = 2. Let n be 44\/33*(-3)\/g. What is the greatest common divisor of n and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -22*u + 4. Let i be z(-3). Calculate the greatest common divisor of i and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 1.13621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z - 161 + 28 = 0. Let j(g) = 5*g**2 - 13*g + 68. What is the remainder when j(5) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -4\/9483?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 37*r + 8*r**2 - 6*r**2 + 2603 - 2607 - 6*r**2 + 4*r**2 + 4*r**2 + 2 - 2 + 2*r**2 + (-5*r + 3*r + 3*r)*(3*r + r - 3*r).\nAnswer: 7*r**2 + 37*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4975561?\nAnswer: 47, 105863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -5*p - 5*p**3 + 8 + 0*p - 7*p**2 + 4*p**3. Suppose 21 = -4*x - 3. Determine f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1481 - -3062. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/4050 and -73\/356874?\nAnswer: 240889950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 3*n**3 - n**2. Let r be c(1). Let q(z) = -z**r - 2*z**2 + z**2 + 3*z**2. Let u(t) = 8*t**2. Calculate u(q(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -44*25\/(-150)*(-9)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 21*r - 1. Let k(z) = -146*z + 8. Calculate 3*k(a) + 20*n(a).\nAnswer: -18*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n - 7 + 607. Calculate the highest common divisor of 120 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**4\/3 + 13*o**3\/3 - 50*o**2\/3 + 32*o\/3 + 32.\nAnswer: -(o - 6)*(o - 4)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 871*g - 3879. Determine y(4).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 8.05, -1\/9, -1\/8 in descending order.\nAnswer: 8.05, -1\/9, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 5:09 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, -3.7, 5, 1\/9, -0.5 in ascending order.\nAnswer: -3.7, -3\/4, -0.5, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2499014)\/(-105) - (-4)\/(-30). Round a to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 11:25 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3752, -7361, -10822, -14135, -17300, -20317, -23186?\nAnswer: -25907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*g - 5*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -71237 - 1?\nAnswer: -71240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 9 divided by -58292\nAnswer: -9\/58292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**3 + 11*g**2 + 25*g + 63. Let o be m(-9). Solve o = 2*a - i + 4*i + 18, 0 = -3*a + 5*i + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -5 + (sqrt(108) + -1 + sqrt(108))**2 + 5 + -5*(sqrt(108) + 2)**2 + 0.\nAnswer: -144*sqrt(3) - 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, v: 1, w: 1, u: 1, f: 2}. What is prob of sequence uv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Simplify (k**2\/((k\/k**(-8))\/k))**22\/((k**(2\/3)\/k)**(-5\/4)\/(k**(-1\/7)*k*k**7)) assuming k is positive.\nAnswer: k**(-10463\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 347*x - 2948. Calculate o(9).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 29808 and 24.\nAnswer: 29808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 173 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g**2 + 16540*g + 33096 = 0.\nAnswer: -2, 4137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -23 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 30 - -30. Suppose 7*r = 11*r - w. Calculate the remainder when r is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 444 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 9 + x + 3.\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 0*z = -4*z + 130, 0 = q + 5*z - 47. Is 8 a factor of (-4)\/q - (-12492)\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.11 - -0.3. Let d = -1.29 + j. Let n = 0.6 + d. What is the nearest to 0.1 in n, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 169355135 to the power of 1\/2, to the nearest integer?\nAnswer: 13014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-1\/23)\/q)\/(q\/(q*q**(1\/3)))*(q**16)**34 assuming q is positive.\nAnswer: q**(37556\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1819 + 5977. Is 33 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3\/2 + -57\/40. Let r be -4 - (-3)\/(-3)*1. Sort 3, r, g in ascending order.\nAnswer: r, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 0.8081995 years?\nAnswer: 0.0008081995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 16352.57 rounded to the nearest 10?\nAnswer: 16350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1101309803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1987 and 49341184?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00233626 rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 16 by 17.\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 37445*c - 45. Let y(i) = -1702*i + 2. Determine -4*j(w) - 90*y(w).\nAnswer: 3400*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 3*a + 106. Let s(t) = 2*t + 88. Let l(z) = 6*s(z) - 5*x(z). Let n(q) be the second derivative of q**3 + 2*q**2 + q. What is -9*l(d) - 4*n(d)?\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5071 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2836523*b**3*o**3 - b**3*o + 4*b**2*o - 967*b*o**3 + b - 17*o**3 + 3*o + 2 wrt b?\nAnswer: -17019138*b*o**3 - 6*b*o + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20*3\/(-24))\/((-365)\/(-1971)).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -13*w**2 + 6*w**2 + 5*w**2. Let a(n) = 4 - 8*n**2 - 4. Give z(a(u)).\nAnswer: -128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -133169, -133202, -133243, -133292, -133349, -133414?\n\"Answer: -4*p**2 - 21*p - 133144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together 20649090 and 1.666.\nAnswer: 20649091.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -193.8846621 rounded to one dp?\nAnswer: -193.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -4*g**2 - g**3 + 6*g**2 - 2*g - 2*g**2 + 8*g**2 + 12. Let k be s(8). Let a(i) = -i**3 - 5*i**2 - 2*i + 2. Determine a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -734 - 0.1.\nAnswer: -734.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.5 (b) 1.5 (c) 12\/125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in -5, 0, -3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/174465821 and -117\/10.\nAnswer: 1744658210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -197 = -107*j + 1408 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(2\/21))\/o)**(-3\/23)*o**13\/o*o**(-1\/10) assuming o is positive.\nAnswer: o**(19179\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 73999004 a multiple of 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2203 + 2200. Which is the nearest to -7? (a) 3\/4 (b) o (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 6*n - 51. Does 3 divide n\/4 + (-7)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 4 + 10. What is the remainder when 7 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 3, 0.14, -2\/415, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**3 + 13*a**2 + 16*a + 7. Let t be y(-12). Sort -3, t, -1\/3.\nAnswer: t, -3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 653\/2915 - -18\/53. Let q = 2\/55 + l. Let k = -16 + 15.5. Put -6, q, k in decreasing order.\nAnswer: q, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 2*x**3 + 6*x**2 - 9*x + 2. Let h(z) = 2*z**3 + 5*z**2 - 8*z + 2. Let k(j) = j**2 + 10*j + 11. Let o be k(-8). Give o*p(r) + 6*h(r).\nAnswer: 2*r**3 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 9869.56 nanograms?\nAnswer: 0.00000986956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 253781621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 140148700.\nAnswer: 2, 5, 1401487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 57.3 + -57. Let i be (6\/15)\/((-32)\/600). What is the nearest to i in h, 5\/3, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7437848 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4261275 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 193*448.\nAnswer: 86464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from prrqpmxxmppmrqp?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l = -13135 + 13012 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 + 0*g**2 - 82 - 3*g + 75. Let u be a(5). Find the first derivative of 2*n**3 + n**3 + 7*n**u + 30 - 12 wrt n.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate (53 - 55) + -7 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.477555 and 0.\nAnswer: 0.477555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -29.5249 minus 3?\nAnswer: -32.5249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 252 and 49812?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, e: 4, b: 1, u: 1}. What is prob of sequence eb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -208 + 296. Suppose 0 = -2*k - 2*k + w. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2 - -3)\/((-1)\/(-4)). Let z be (1\/2)\/(2\/c). Factor 19 + z + 69*w**2 - 56*w - 9*w**2 - 4 - 18*w**3.\nAnswer: -2*(w - 2)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/10*(-10)\/(-25). Let h = -1967 - -1968.7. Sort h, k, -1 in decreasing order.\nAnswer: h, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 12*v - 19. Let o(p) = 7*p - 10. Calculate 5*o(q) - 3*s(q).\nAnswer: -q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 618 or 705?\nAnswer: 705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5830*g**2*k*p + 12*g**2*k - g**2*p + 1526*g*k wrt p.\nAnswer: -5830*g**2*k - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n = 3*n + 6. Sort -3, -5, n, 7 in decreasing order.\nAnswer: 7, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -50, -2\/5, 2, 2100\/61 in descending order.\nAnswer: 2100\/61, 2, -2\/5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -360 = -7*r - 51*r + 452 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 22697830 or 22697828?\nAnswer: 22697830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2082951 - -1?\nAnswer: 2082952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.19 (b) 0.1 (c) -6\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 6*w**2 + 3*w - 16. Give l(7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -5 - y - y + 0 - 7. Let l be m(8). Which is smaller: -27 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 - 4. Suppose -6 - 9 = -z*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7383 divided by 60676.\nAnswer: 7383\/60676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**2 - 2*v - 13. Let y be u(4). What is the third biggest value in -4, 0.5, y, -37?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 6*c = -60, -407*p - 3*c + 30 = -402*p. Find s, given that -22\/13*s**2 - 12\/13*s + p - 8\/13*s**3 = 0.\nAnswer: -2, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 + 112\/11. Sort 2, -2\/3, -10\/13, c.\nAnswer: -10\/13, -2\/3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 + 588*x - 1779. Calculate z(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -121*s - 127*s - 124*s - 25 - 115*s - 131*s + 593*s.\nAnswer: -25*s - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -35 - -39. Let c be 3 + (3 - l) + -2. Suppose c = -2*k - 1 + 5. Solve 4*m + 3*n = -11, 0*m + 2 = k*m + 4*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(112))**2 + sqrt(14)\/sqrt(2)*4 - ((-1*sqrt(847) + 1)**2 + sqrt(847)).\nAnswer: -732 + 31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 9 = -4*y, -5*k + 0*y = 2*y - 15. Let h = 8 - k. Let b(o) = -3*o + 17. Let l be b(h). Solve 3*q = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2935127823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 3\/8, -0.1, 3, -3\/7 in descending order.\nAnswer: 3, 3\/8, -0.1, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 245 (base 7) to base 9\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 29*s**2*z**4 - s**2*z**3 - 2*s**2 - s*z**2 - 6 wrt z?\nAnswer: 696*s**2*z - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k**2 + 261*k + 2 - 2.\nAnswer: k**2 + 261*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 613020 divided by -3.\nAnswer: -204340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - (-11 + 16 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {q: 9, r: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5495759743.1546 take away 0.5?\nAnswer: 5495759742.6546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7213 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 287714449*4\nAnswer: 1150857796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 107707\/5 + -21537. Find the common denominator of w and 11\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 AM and 2:03 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -2*w**2 - 8. Let h(f) be the first derivative of -f**3\/3 - 3*f - 8. What is 8*h(y) - 3*n(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -t**3 + 3*t**2 - 3*t**2 + (-4*t + 6*t + t)*(5*t**2 - t**2 - t**2).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84)\/sqrt(7) + sqrt(243)*-1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-2)\/4)\/((-12)\/208) and -67\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-9*h - 49*h - 20*h)*(0*h - h + 2*h) in the form j*h**2 + z + q*h and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 99*l**3*t**2 - 106281*l**2*t**2 + 10513478*t**2 wrt l?\nAnswer: 297*l**2*t**2 - 212562*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2796.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes before 2:00 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 2*n = 43, -3*n = -2*n + 5. Solve -18*u + 35 = -z*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - (-9 - -5)) + 7 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 3*t + g, 782*t - 777*t - 3*g = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 10.4, 3, 439, -1\/16?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 + 15*k**2 - 12*k - 31. Let o be s(14). What is the common denominator of (3\/(-18))\/((-22)\/(-7) + o) and -69\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 30*c**2 - 26*c - 20. Let m(q) = -89*q**2 + 73*q + 57. What is -6*m(g) - 17*n(g)?\nAnswer: 24*g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 18, 50, 84, 120, 158, 198, 240?\n\"Answer: t**2 + 29*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -14 in -3, 2\/5, 4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -23524 - -330151?\nAnswer: 302223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 68*f**5 + 1896*f**4 + 8264*f**3 - 12192*f**2 - 8332*f + 10296 = 0.\nAnswer: -22, -117\/17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 25110 * -0.06.\nAnswer: -1506.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3210 take away 182399?\nAnswer: -185609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3971233\/6 or -661872?\nAnswer: -661872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(637) - (2 + sqrt(637))) + -5 + (-1*sqrt(5200) + sqrt(52))\/(1*sqrt(4)*-2 - sqrt(4)))**2 + -2.\nAnswer: -18*sqrt(13) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 35.7 + -38. Let i = -2.4 - o. Let r be -1*(1 + 5)\/2. Which is the closest to i? (a) -0.1 (b) r (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.73636813 and -0.1.\nAnswer: 0.273636813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 40785, 81569, 122353, 163137, 203921?\nAnswer: 244705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8702918 to the nearest integer?\nAnswer: 2950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -t - 2*a + 1, -4*t + 5*a + 31 = 0. Suppose -2*d = t*n - 4*d, -3*n + 2*d = 0. Factor -2\/3*z**2 + n + 2\/3*z.\nAnswer: -2*z*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2*l - 4 = 0, 4 = 5*b - l - 12. Suppose 5*g = 4*r - 18, 6 = -4*r + b*g + 22. Solve x - r + 0 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 4 + 66 = 0. Let h = -4 + q. Let s = 30 + h. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 13) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 7*p**2 + 416*p - 8816. Let g(u) = -10*u**2 - 415*u + 8815. Let a(z) = 4*g(z) + 5*o(z). Suppose a(n) = 0. Calculate n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/30 and -7\/129?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + 1)*(-2*k + 5*k - 2*k)*(-k + 0*k - 8*k) to g*k + l*k**2 + p and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 89848 is divided by 1167.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 7:10 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - 137*f + 13 = -132*f, 0 = 3*t - 5*f - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 127 + -69. Let t = -30 + h. Suppose -4*d = -n - 16, -2*n - t = -4*n - 4*d. What is the nearest to -4 in n, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/2)\/((-72)\/96).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1416 and 11.71?\nAnswer: -16581.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is ((-2091)\/5)\/((-4)\/20) a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 16, 12, 2 in descending order.\nAnswer: 16, 12, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 + 20. Put 4, t, -3, -1\/6 in descending order.\nAnswer: t, 4, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**3 - 24*n**2 - 24*n - 8. Suppose -52 = -2*x + 2*q, -4*x - 3*q + 97 = -0*q. What is the smallest common multiple of 1 and g(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 33*z + 844 = -32*z, -4*z = 4. Solve -39*q - s = 65 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*((sqrt(300) + sqrt(300) + 2*sqrt(300) - sqrt(300)) + sqrt(300))\/sqrt(5))\/((sqrt(432)*3*2 - sqrt(432) - sqrt(432)) + sqrt(432)))**2 + 3.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 AM and 6:32 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/95? (a) -12\/37 (b) 0.36 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = u + 3 - 10, u + 5 = 0. Suppose 2*x - m*x = -30. Suppose 3*y = -4*n + 36 + 55, -2*y = x*n - 59. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 19*j**2 - 7*j - 3 - 20*j**2 + 1. Let y be q(-2). Suppose -3*s - y = 7. Sort s, -4, 2 in increasing order.\nAnswer: s, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26.05953 decades in millennia?\nAnswer: 0.2605953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101100000100 + 101010110000110?\nAnswer: 10101010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 + 8*u**2 - 3*u - 3. Let p be d(5). Let o be (-59)\/(((-2)\/(-8))\/((-7)\/(-28))). Let t = p + o. Put -37, 0.2, t in ascending order.\nAnswer: -37, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(19) - sqrt(38)\/(sqrt(2)*2))*-4)**2 - (((sqrt(57) - -2*sqrt(57))*-4)\/(2*sqrt(48) + sqrt(3)))**2.\nAnswer: 380\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -1 + 10 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 9*y**2 - 40 - 6*y + 40. Is b(4) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 9 = 3*y, -2*y - 2 + 4 = 0. Let j(b) = b**2 - 8*b - 8. Let m be j(9). Let h(n) = -1 + m - 1 + o*n**2 + n**3. Determine h(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 624 times -0.09?\nAnswer: -56.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and -2 + (-40)\/(-3) - (-2)\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = -3*t, -9*c + 4*c = -5*t - 35 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 58 = -0*m + 4*m, 3*m + o - 41 = 0. Let l be m\/9*(-18)\/(-4). Let u = 17 - l. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(1440)*2)\/sqrt(2) + -4).\nAnswer: -8 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 33 - (-3 + 20 - -2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 8:15 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 113269305.\nAnswer: 3, 5, 7551287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 5 = -2*z. Let y be 70\/(-4)*8\/10*-1. Suppose 26*l + y = 28*l. Calculate the lowest common multiple of z and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 298 is divided by 138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:14 PM and 2:09 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 7:31 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*p + 5*j + 8, 0 = 3*p + 2*j. Suppose 12382 = 4*c - 0*c - 2*a, p*a = 5*c - 15480. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - -4. Suppose -2*b = g - 4, -g + 1 - 3 = -s*b. Let w(k) = -k**2 + 2. Determine w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110367801 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*m + 0*o - o + 24 = -19, -2*m = -0*o - 7*o + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - -6 - -9) + -2 - 6 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of h**4\/14 + 4*h**3\/21 + h**2\/7 - 7. Find a, given that y(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 17, e: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -5*j**2 - 6*j + 4. Let y = -8 - -2. Let n be (0 + 1\/(-2))*-4. Let o(r) = -5 + 8*r**2 + 0*r**2 - n*r**2 + 7*r. Calculate y*o(g) - 7*w(g).\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r - 11*b = -6*b - 21, 2*b = 4*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 1426 = 4*z, 5*j + 4*z + 1900 = j. Let p = j - -479. Solve -15 = 2*x + p*y, -5 = -5*y - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (33\/(-55)*(4 - 9))\/3. Which is the closest to m? (a) 5 (b) -2\/3 (c) -0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 - 7*k + 7. Let p be s(-7). Suppose 2*u - 17 = -p. Suppose -u = -d - 4*d. Sort 2, 3, d in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -3. Let i = -226 - -110. Let n = 124 + i. Solve n = -3*q - l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*x + 10 = 17*x. Let r(u) = u**2 - 3*u + 1. Calculate r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = 4*a + 16. Let m be (-6)\/44*(-27560)\/a. Let h = -74071\/297 + m. What is the common denominator of h and 8\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.52 times -2881?\nAnswer: 10141.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 PM and 12:36 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-10)\/6)\/(27\/162). Let c(i) = -i**2 - 12*i - 4. Give c(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of c**7\/28 - 2*c**6\/15 - c**5\/5 + 7*c**4\/12 + 5*c**3\/12 - 3*c**2\/2 + 93*c. Let a(x) = 0. Calculate x.\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - (2\/(-3))\/((-4)\/30). Which is smaller: g or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -2*v**3\/5 - 488*v**2\/5 - 29768*v\/5 = 0.\nAnswer: -122, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 116 + -115.9. Is 0.378 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -6*m + 8. Let c be y(6). Let g be -1 - -3 - (c + 5). Let b = g + -11. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 7 + (-1 - 10) - -20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -5*t. Let x(a) be the third derivative of -a**5\/30 - a**2. Calculate x(i(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9683 and 19787.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.015 or -33831?\nAnswer: -33831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1064 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q**2 + 2*q**2 - 3*q**2)*(369*q**3 + 9*q + 173*q**3 - 7*q) + q**5 - 2*q**4 + 2*q**4 + (-2 - 2*q**4 + 2)*(-2*q + 6*q - 2*q).\nAnswer: -545*q**5 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -49920 by -6.\nAnswer: 8320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - -3. Suppose m*x = -s + 29654, -2*x + 19746 = -6*s + 2*s. Let j = x + -15883. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 772672 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 - 1)*0\/(-1). Suppose -2*t - t + 23 = 4*o, 0 = 2*t + 3*o - 17. Let j be a - (-1 + t) - -5. Solve 0 = -2*f + 4*c, c = f + 4*c + j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 18\/(-24)*16\/(-6). Put a, -1, 4 in increasing order.\nAnswer: -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 3*i**3 - 26*i**2 - 39*i - 1. Suppose -f - p + 30 + 4 = 0, -5*f - p + 186 = 0. Calculate the remainder when f is divided by r(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kxgg when four letters picked without replacement from xgkgxeeeig?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2412530, 4825061, 7237592?\nAnswer: 9650123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 60 - 61. Let p(h) be the first derivative of 1\/2*h**2 + h - 1\/3*h**3 - 54 + 5\/4*h**4. Give p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/5 + 2349\/15. Suppose 2*q = 5*z - 22 + 390, 0 = -2*z + 3*q - o. Let w be (0 - z) + 8\/(-4). What is w rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -271, -543, -815, -1087, -1359, -1631?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bi when two letters picked without replacement from gggiiqgbegeui?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (281*r**3 + 11*r + 0*r - 11*r)*(11*r + 7*r + 8*r) to u + b*r**2 + k*r**4 + a*r + l*r**3 and give k.\nAnswer: 7306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4611?\nAnswer: 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1152566355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -23857, -47697, -71529, -95353?\n\"Answer: 4*h**2 - 23852*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -341797*s**3 - 5635*s**2 - 11 wrt s.\nAnswer: -2050782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*w + 0*w - 2*w)*(24*w**2 + 85*w**2 + 20*w**2)*(2*w - 3*w + 0*w) to the form u + m*w**4 + v*w**3 + b*w + p*w**2 and give m.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3815041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 28*t + 28 + 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5.4 + 6. Let b = -2.6 + k. Let z = -825 - -824.96. What is the third smallest value in b, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -214? (a) 60 (b) -2\/9 (c) 2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y\/(y**3\/y*y)*y**(-18))\/(y**(-25)*y\/(y*y**(-35))*y) assuming y is positive.\nAnswer: y**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.53728 - 0.552. Round p to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 226676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l + 7. Let u be y(5). Factor -3*x - x**2 + 10 - 4 - 8*x**u.\nAnswer: -3*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000122161 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 - 753*c - 14*c**4 - 64*c**3 + 729*c + 26 - 74*c**2 = 0. What is c?\nAnswer: -3, -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*z + 0*z + 0*z)*(967*z - 471*z - 465*z)*(z**2 - 6*z**2 + 3*z**2) to the form j*z**2 + w*z**4 + h*z + v*z**3 + c and give w.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*i - 7*i + 6*i - 27*i**2 wrt i?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.2 + 0. Let i be (482\/(-25))\/((-944)\/20). Let v = 1\/118 - i. What is the nearest to v in x, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -5*(-3 + -1*sqrt(98)*-2)**2 + (sqrt(12)*1*3 - sqrt(12))\/((sqrt(6) + sqrt(30)\/sqrt(5))*1).\nAnswer: -2009 + 421*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -4*n**4 - 28*n**3 - 36*n**2 + 28*n + 40 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 84402976 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 120187187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 649300 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from geegggggeeeeqg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from rqqq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 267129 + -267117.1811. Let w = -12.81884 + y. Let q = 1 + w. What is q rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 231678 and 220284?\nAnswer: 13437324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 15558909.8 to the nearest 100000.\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**2 + o + 5. Let w be 1\/((3\/(-9))\/(-1)). Let f = 3 - w. Let p be k(f). Solve -p = 5*s + 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -7*g - 53. Let h be m(0). Let l = h - -72. What is the third derivative of 767 - l*p**2 + 13*p**5 - 767 wrt p?\nAnswer: 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 59622, 119243, 178874, 238515, 298166, 357827, 417498?\nAnswer: 477179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 6\/137 (b) 8 (c) 7\/6 (d) 13 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 q, and 1 r when three letters picked without replacement from {z: 1, r: 1, a: 2, q: 1, j: 1, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14*g**2*z**2 - 601*g**2 + 13*g*z**2 + 3*z wrt z?\nAnswer: 28*g**2 + 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25 + -25. Let w = a - -89. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -289*v + 736. What is the tens digit of t(-68)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10070759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (11*a - 2*a + 0*a)*(-2*a + 3*a + 3*a) as m*a**2 + b*a + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 768052 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 3*y - 12, m - 4*y = y - 2. Suppose -30 = -3*h + h. What is the units digit of ((-8)\/(-5))\/(m\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -11*r + 16. Let k(w) = 7*w - 11. Let n(d) = 8*k(d) + 5*t(d). Let h be n(10). Solve -5*j + h*j - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -82\/9 - -28\/3. Let z = -7.0118 - -2.0118. Which is the second smallest value? (a) z (b) -28 (c) g (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -62\/27 and -16\/209511?\nAnswer: 628533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rwrwyyry. What is prob of sequence rwr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 4*c + 31 + 12, k - 29 = 5*c. Let a be k - 1\/(-5*(-3)\/60). Solve 3*u - 8*u + 2 = -2*y, -a*u = y - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -o**2 + 3*o**2 - 4*o**2 + 32*o**2 - 13*o**2 - 11*o**2 + (0*o**2 + o**2 - 2*o**2)*(1 + 0 + 1) - 184 + 184 + 64*o**2.\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of 0*j + 3 + 1\/4*j**4 + 0*j**2 + 4\/3*j**3. What is the third derivative of c(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18*m**2*o*v**2 + 2*m**2*o*v - 2*m*o*v**2 - 2*m*o*v - 1616*m*v + 4*m - 398*o*v**2 + 2*o wrt v.\nAnswer: 36*m**2*o - 4*m*o - 796*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 46 + -42. Let x = w - -33. Let n = x - 34. Which is the closest to -2? (a) -0.3 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*n - 14 = 175 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and 10359624?\nAnswer: 51798120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, n: 1, u: 7, s: 4, x: 4, i: 1}. What is prob of picking 2 d?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of 21*u**6\/10 - u**4\/2 + 3781*u**3\/3 + 4*u**2 - 1910. What is the first derivative of i(m) wrt m?\nAnswer: 756*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, i: 7}. What is prob of sequence iiiz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 25*n - 45. Let p be w(3). Calculate the highest common factor of p and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4518 or 4401?\nAnswer: 4401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*o - 5*o + o)*(-23255*o + 23255*o + 438*o**2) to g*o + j*o**3 + r + t*o**2 and give j.\nAnswer: -1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -6*g - 36. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, o: 1}. Give prob of sequence jj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60227007 and 2727.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 859327641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -7781 times -2?\nAnswer: 15562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 727973 divided by 1?\nAnswer: 727973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/45 + (-212)\/(-18). Let i = -3327 + 3332. Suppose -3*w + 4*w - 60 = -i*b, 5*w = b - l. Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1423 - -22811\/16. Let a(w) = -577*w**2 + 3*w - 3. Let i be a(-4). Let k = i - -148001\/16. Find the common denominator of k and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/10)\/(4*(-7)\/420).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f - 4*f + 4 - 35846*f**2 + 8*f.\nAnswer: -35846*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 34 = -4*g, 17*v - 14*v + 21 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01489 to 4 decimal places.\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -4*b + 3. Let i be w(-3). Let u(f) = -241*f - 17. Let p be u(-5). Suppose p = 3*x + i*x. Calculate the remainder when x is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/5)\/((-2)\/(-190))*71*18\/(-5112)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/5, -37, -41, 42, 4, 3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = n + 730005, 5*n = -20 - 5. What is v rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**3 + 51*d**2 - 3*d + 103. Is t(44) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 1205234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -261047 times 19?\nAnswer: -4959893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 - 1. Let u(k) = 3*k**3 - k**2 + 1. Let l be u(x). Suppose 0 = -4*m + 5*o + 316, -3*m + 237 = -o + l*o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -4*r + 20, -15 = -r - 2*r - 4*n. Suppose 7 + 8 = -5*c, 1047 = -r*i + c. What is i rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41711925.\nAnswer: 3, 5, 556159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/1236? (a) 4 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of -2\/7*y**2 + 0 + 4*y + 1\/21*y**4 - 1\/21*y**3 + 1\/70*y**5. Suppose v(c) = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -23 + 22.91. Let x = 2.3082 - -0.0018. Let t = x + -2.31. Sort 4\/3, y, 0.3, t in descending order.\nAnswer: 4\/3, 0.3, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -3299, -3343, -3409, -3497, -3607, -3739?\n\"Answer: -11*v**2 - 11*v - 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 + -12. Let t be ((-24)\/3)\/40 - r\/10. Which is the closest to -5? (a) -2 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -3*y - 9. Let d = 54 + -63. Let c be k(d). What is the tens digit of -1 + 1 + c\/6 + 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 220329, 220245, 220161, 220077, 219993, 219909?\nAnswer: 219825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r*r*r**(1\/3)\/r*r))**(8\/3)*(r\/r**(-3))**(-9\/13) assuming r is positive.\nAnswer: r**(-740\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -63.17 + -0.83. Let l = 64.000084 + r. Round l to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 10) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8.49 - -9. Let m = -65.49 - s. Let j = m - -65.6. Sort 1\/8, -0.08, j.\nAnswer: j, -0.08, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3476*o**2 + 6987*o - 6987*o to q*o**2 + j*o + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2077 (base 8) to base 12\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -6*i - 3. Suppose n + 8 = 4*h - 4, -3*n + 15 = 5*h. Suppose 8*q - 3*q - 15 = n. Let c(j) = j + 1. Give q*c(f) + o(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -4*h + 8, -h + 19 = -4*n + 2*h. Let j(y) = 8*y - 6. Let z be j(n). Does -38 = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 247293 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5\/4, -43, -2, 0.3, -0.5, 1, -178?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -21174, -21171, -21172, -21177, -21186, -21199, -21216?\nAnswer: -21237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/2 (b) 22 (c) -4 (d) 0.5 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*g - 95*u = 13*g - 3238, -5*g + 5*u - 158 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffmhymmqh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 6716.68 to the nearest ten.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4\/63 - 1\/21. Let m = 1842 + -5521\/3. Which is the closest to -1? (a) m (b) -2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**3 - 12*t**2 + 14*t + 17. Calculate the smallest common multiple of u(-13) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o + 5*o - 5786 = 0. Suppose 0 = -3*k - 166 + o. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 17 = 3*l, -15 = 3*l - 0*p - 3*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 7:06 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 1817610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes after 8:06 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w + 1. Let b(g) = -6*g - 1. Let k(f) = -b(f) - 3*s(f). Suppose -9*u - 8 = -10*u - 5*h, 0 = -5*u - 2*h + 17. Calculate k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 22800 and 437434259.\nAnswer: 437457059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 200121120000 (base 3) to base 13\nAnswer: ca9aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 - 11*t**2 + t + 5. Calculate x(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the second derivative of 0*m**3 + 0*m**2 - m + 1\/6*m**4 + 0. Let w(s) be the second derivative of -s**3\/6 + 6*s. Calculate k(w(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*z**3 - 22*z**3 + 7*z**3.\nAnswer: -26*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(102) - (sqrt(102) - 2*4*sqrt(102)))\/((sqrt(72) - (sqrt(72)*-1 + sqrt(72)))\/sqrt(12)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 206005*x. Let b(q) = -44*q**2. Determine a(b(c)).\nAnswer: -9064220*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-194)\/5 - 2\/10. Suppose 93 = -5*d - 62. Let l = d - q. Solve l + 2 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 612 - 436. Let m = -172 + f. Solve -2*t = 4*o - m, -t = -o - 0*t + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3557 - 2516. Let w = m - 1053.27. Round w to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) -112 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 + 4*l**2 - 6*l + 3. Let t be u(-5). Suppose r + 3 - t = 0. Let o be (-1)\/r + (-42)\/(-35). Is 0 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**3 + 2*w**2 + 5*w. Calculate d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the third derivative of -u**8\/448 - u**7\/140 + u**5\/40 + u**4\/32 + 11*u**2. Suppose b(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -80660000 to the nearest one million.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**2 - 17*x + 5. Let w be j(-13). Let h = 72 - w. Solve 4*r - r - 10 = q, 4*r - 3*q = h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - 5*z = 25, 4*j = 3*z - 5*z + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 292.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 21966 by 1569.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**3 + 11*a**2 + 4*a + 6. Let y be d(-10). Suppose x - y = -0*x + j, 4*x - j - 249 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12, -53, -122, -219, -344?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -19, -29, -39, -49, -59?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 2*r**2 + 2*r - 1. Let l = 20 - 22. Let g be o(l). Suppose 6*w = g*w + 105. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 10470.\nAnswer: 1\/5235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 - 13*r - 4. Let d(j) = -j**2 - 14*j - 3. Let g(x) = -6*d(x) + 7*k(x). Let t be g(-4). Solve 4*n + 1 = t*b + 29, -5*n + 5 = 5*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - w + 4. Let k(j) = 4*j**2 - 3*j + 12. Let q(c) = -2*k(c) + 6*s(c). Let m(d) = -85*d**2 - 5. Calculate q(m(p)).\nAnswer: -14450*p**4 - 1700*p**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {z: 3, j: 4, u: 1, q: 3, v: 2, f: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**3 + 2224*y**2 + 147822*y.\nAnswer: 2*y*(y + 71)*(y + 1041)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8475 is divided by 1411.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1270 is divided by 9\/(-135)*5 - 1010\/(-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5887 + 5919. Let v be 2\/3 + 472\/(-6). Let c be (-2 + v)\/(1*-1). Calculate the highest common divisor of c and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/5245 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -17, -32, -47, -62, -77, -92?\n\"Answer: -15*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*r = 5*f + 73*r - 94, -19*f - 5*r = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 8 = 3*h, 2*h + 3*m = h - 8. Is h at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*f - 458782 = 428393. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -263, -539, -815?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 851307689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uukkkihkkslikkssli. Give prob of sequence kik.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*j - 3, 615*j = 4*y + 611*j - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -3805664 by 4.\nAnswer: -951416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -405 - -3287\/8. What is the common denominator of f and 28\/(-126) + 1 + (-1686)\/(-216)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -452 + 2?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -g - 5781, -a - 4*g + 0*g + 5751 = 0. List the prime factors of a.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 162268998 to the power of 1\/3, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 18, 0, -30, -78, -150?\n\"Answer: -m**3 - 11*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 2067699*a - 87. Let s be v(13). Suppose 3*q + q = s. What is q rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12.03 - 14.03. Which is the closest to 0? (a) q (b) 1 (c) -260 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5618 + 28497\/5. Let q = w - 7723\/95. Factor -q*z**2 + 2\/19*z + 0.\nAnswer: -2*z*(z - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -1, 108 = 4*i + 2*o + 14. Let q = i + -9. Suppose -u + 4*r + 44 = q, -u - 5*r - 7 = 0. Solve 0 = -2*n - 0*n + 3*s + 12, n - 5*s = u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - a?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 80720 and 193728.\nAnswer: 968640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*d - 408 = -72 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 4*k + 393 - 134, -2*c - 3*k + 99 = 0. Suppose 0 = -5*u + 19 + 51. Calculate the remainder when c is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -179.18 and -442?\nAnswer: 262.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 11948010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21971\/43 - 511. Let m = -377\/2482 - -5\/146. What is the nearest to 0 in -1, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1000111010101 (base 2) to base 13\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 357409 or 357405?\nAnswer: 357405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -107 - -167 - (11 - (-8 + 9)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-56)\/70)\/(((-12)\/(-10))\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1067455 is divided by 266686?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - m = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -243 or -339?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.25 - 20.25. Let k = l + 6. Let o = -14.5089 - k. What is o rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -318*r - 5*r**3 + 4*r**3 + 3*r**3 - 3*r**3.\nAnswer: -r**3 - 318*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 + 23. Let t = p + -22. Put t, -1\/2, 5 in decreasing order.\nAnswer: 5, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - k = 13 - 17, 0 = 2*o - 4*k - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3560 divided by 89?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the third derivative of c**6\/120 - c**5\/20 + c**4\/6 - c**3\/6 + 3*c**2. Is l(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2101212000 - -122121?\nAnswer: -2101012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 2 + 2)*(-7*t**2 + 3*t**2 + 3*t**2) - 2*t**2 + 0*t**2 + 0*t**2 - 6719*t + 404*t**2 + 6719*t + 1401*t**2 as y + n*t**2 + m*t and give n.\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5247\/(-636))\/(21\/56)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 2*g**5\/9 - 4*g**4\/9 - 2*g**3\/3 + 8*g**2\/9 + 8*g\/9 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 3685, 13982, 31125, 55114, 85949, 123630?\n\"Answer: 3423*u**2 + 28*u + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*p + 64*p - 3176 = 0. Let v = p - -2259. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(180)\/(sqrt(20)\/sqrt(2))*-3)**2 - (sqrt(90)\/sqrt(45) - (2 + 4*sqrt(18))**2).\nAnswer: 47*sqrt(2) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 4 - 2. List the prime factors of 14*1*(-2)\/x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*o**2 - 43*o**2 + 56*o**2 + 1670*o**5 + 18 + 4*o wrt o?\nAnswer: 33400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 9*g**2 + 6*g + 6. Let v be q(-1). Solve -24 + v = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 61107577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = 2 + 4. Let l = 1\/21 - -2\/7. Let o = 62 + -61.8. Sort o, l, k in increasing order.\nAnswer: k, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of -a**5\/60 - 34*a**2 - 12*a. Let i(q) be the first derivative of p(q). Let b(m) = 62*m. Give b(i(f)).\nAnswer: -62*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 3*k**3 - 221*k**2 + 4058*k - 79. Calculate h(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2587, -5181, -7775, -10369?\nAnswer: -12963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**3 + 615320*l**2 + 23664899492*l + 94649753104.\nAnswer: 4*(l + 4)*(l + 76913)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26377221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 2570 divide 516772432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b + 5. Let h = 12 + -27. Let g = h - -8. What are the prime factors of w(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -4\/7*x**3 - 12\/7*x**2 + 0 - 8\/7*x = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8577070 is divided by 603?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3422 and 19638858.\nAnswer: 19638858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**3 + 9*f**2 + 2*f - 45. Give v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.00738835 + 0.03048424. Let t = i - 0.0231. Round t to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31\/24 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 1. Let p(a) = -a**2 + 9*a + 6. Calculate p(f) - 5*r(f).\nAnswer: -f**2 + 9*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -3480170.33 rounded to the nearest ten thousand?\nAnswer: -3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(468)\/sqrt(9)*6 - (sqrt(52) - -4*sqrt(52)*2))**2 + 1.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80858516 is divided by 20214626?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 616 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 332.47 and 5?\nAnswer: 1662.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 258*s - 8936 = -1044 + 1396 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 122 a factor of 650611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be -205*(-4 + 4 + -1). Calculate the greatest common divisor of x and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 574 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -25\/8 (b) 0.05 (c) 17 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*(((((c**(-5)*c)\/c*c*c)\/c)\/c)\/c)\/c*c**(-1)*c)\/(c**(1\/2)*c*c**1\/c*c)*(c**0)**32\/((c\/((c*c**(-1\/6))\/c))\/c**(-2)) assuming c is positive.\nAnswer: c**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 PM and 5:26 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 0*q**2 + q**2 - 3*q**2. Let g(h) = -53*h + 152 + 73*h - 74 - 78. Give j(g(r)).\nAnswer: -800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 426\/142*16\/6*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of -p**4 - 48*p**3 - 598*p**2 - 1056*p + 7270. Factor n(l).\nAnswer: -4*(l + 1)*(l + 11)*(l + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 219 + 269. Suppose 20 = -w*x + 492*x. Solve -x*m + 3 - 4 = 3*h, 2*m = 5*h - 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1301\/10 + 122. What is the common denominator of o and 19\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 189403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6298229 divided by -899747.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 20 = -4*j + a, 2*j = -a + 4. Suppose 2*c + j*q - 46 = 0, 2*q + 115 = 5*c - 0*c. Calculate the remainder when 43 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 290*g + 377*g + 238*g in the form h*g + f and give h.\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2 + -2 + 5 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -431*t - 17 = -432*t + 5*l, 0 = -t + 4*l + 14. What is the remainder when (-1)\/4 + (-735)\/(-12) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0606223 + 0.2.\nAnswer: 0.2606223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 654\/663 - (-927)\/(-1339)\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -25515 (base 6) to base 14\nAnswer: -159d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**3 + 44*s**2 - 65*s + 46. Is q(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = 2*y + 11, 4*v - 9*v + 5 = -5*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 218232 and 10963127?\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 877263 = -124*k + 877511 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 54252967 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 86900687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 3*c**3 + 64332*c**2 + 1414023*c + 3663162 = 0.\nAnswer: -21422, -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 108 and 395172.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 241\/5 + -48. Let s be ((-1)\/(-5))\/(47\/1410*-10). Put 0.05, -0.5, m, s in ascending order.\nAnswer: s, -0.5, 0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17431 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.829 - -0.049. Let i = v - -0.72. Which is the fourth biggest value? (a) -0.4 (b) -3 (c) -1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -789*r + 4242*r - 2187*r + 3*r**3.\nAnswer: 3*r**3 + 1266*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 278 - 159. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 25, 576, 181 in decreasing order.\nAnswer: 576, 181, 25, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, -1, -54, 18390 in descending order.\nAnswer: 18390, 0, -1, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 52186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 412042209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 464856 and 5145.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -2*a**2 + 2*a. Let s be z(-2). Suppose 8 = -4*t + 3*i - 16, -t - i = -1. Let d be t + 6 - (-1 + s). Solve -k = 4*o - 21, k = -2*o + d - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l + 9. Let i be c(5). What is the units digit of 5\/20 + 87\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1011 at least as big as 1011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w, 1 f, and 1 g when four letters picked without replacement from {w: 4, f: 2, n: 1, j: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -35 or -15?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the third derivative of v**5\/30 + v**4\/3 + 4*v**3\/3 - 15*v**2. Determine d so that h(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mpsgpspqgsgpgp. Give prob of sequence smq.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of d - 4*d + 10 + 4*d - 4*d wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 347813457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 996959*h**5 - 1140322*h wrt h.\nAnswer: 19939180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1533, -1368, -1197, -1020, -837, -648?\n\"Answer: 3*c**2 + 156*c - 1692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from nepuannnrneannn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 4, j: 3, r: 4}. What is prob of sequence jaj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 2*r + 5 = 5*v, 5*v - 10 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-7)\/28)\/((-255)\/(-204))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of w**5\/90 + w**4\/36 - 2*w**3\/9 - 3*w**2 + 5. Let o(y) be the second derivative of p(y). Find f, given that o(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 8:52 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -4 - 2) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*b + 100. Suppose 0*v = -3*v + 189. Let r = -57 + v. Calculate the highest common divisor of b and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 200\/27 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -ce3 (base 15) to base 11.\nAnswer: -2209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 11 = -2*u + 3*y, -2*u - 5*y = -11. Suppose 2775 = 5*p - u*j, -5*p + j + 2745 = -20. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -33*q**4 + 3*q**3 + 250*q**2 - 355109?\nAnswer: -132*q**3 + 9*q**2 + 500*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 95? (a) 4\/9 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -4 + (-5 + sqrt(4)\/sqrt(2))*-3 + 4.\nAnswer: -3*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 = -l - 5*l. Suppose -40 = 6*z - l*z. Solve 3*t - 2*r = -3*r - 11, -z*t - 19 = r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9.85475567 to 2 dps.\nAnswer: -9.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)\/(sqrt(44)*3) - (sqrt(7) + (sqrt(84)\/sqrt(2))\/sqrt(6) + 3)**2)*-1.\nAnswer: 71*sqrt(7)\/6 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-34)\/(-8) + ((-5)\/(-4))\/(-5). Let t be 538\/a - (-10)\/20. What is the greatest common divisor of 81 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -134001344*f + 556903319 wrt f?\nAnswer: -134001344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6.2 - -15.9. Let v = n - 52.7. Let s = 43.176 + v. Round s to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-7)*q\/q**(-19)*(q**4*q)**20 assuming q is positive.\nAnswer: q**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -57 + -33 + 41 + 28?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 3*i - 75*a + 76*a, -3*i + 2*a = 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -422*p**2 + p - 295 + 211*p**2 + 213*p**2 - p**3 + (p - p + 2*p)*(-5*p**2 - 2*p**2 + 5*p**2) + 4*p**2 - 4*p**2 + p**3.\nAnswer: -4*p**3 + 2*p**2 + p - 295","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 300212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/12*90*(-4)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-592)\/(-152) - 7) + 12\/114\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -5*3\/(-2)*-14*37\/(-777)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -20*b**2. Let i be -40 + -3 - (-4 - -1). Let f = -38 - i. Let r(v) = -3 - 1 + 4 + f*v. Give r(k(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1780668 divided by -36.\nAnswer: -49463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x + 8. Let i be s(6). Let w(y) = -2*y - 9. Suppose 20 = -5*m - 10. Let q be w(m). Solve 0 = -r - 5*t - 15, 19 = q*r + i*t - 3*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 3*b = -4, -4*b - 11 = -1517*x + 1514*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4144*x - 26 = 4146*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(-63)\/660 - 0. Let k = 1\/110 + r. Solve -1\/5*h**4 - k*h + 1\/5*h**3 + 0 + 1\/5*h**2 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 - 4*c + 3*c**2 - 4*c**2 + c. Let r be b(4). Solve 0 = -5*w + 5*k - 2*k + r, 0 = 3*w - 3*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -93\/944020 and -47\/1100.\nAnswer: 4720100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 407248, 407267, 407298, 407341?\nAnswer: 407396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10340 = -4*a - 2*j, 1374*j = -4*a + 1377*j + 10350. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -6\/11 (b) 1529 (c) 0.4 (d) -25 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -39, -3, 87, -63, 2 in descending order.\nAnswer: 87, 3, 2, -3, -39, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*i + 16. Suppose i*b - 85 = -13. Let q be 24*3\/(-15)*-15. What is the greatest common divisor of b and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 + 14\/4)*0. Let o(p) = -3 - p + p**3 + d*p**2 - 3*p - 4*p**2. What is the units digit of o(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 3110621440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of -t**5\/5 + 2*t**3\/3 - 5*t**2\/2 + 4*t. Let y(p) = p**3 - p + 1. Give g(i) + 5*y(i).\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -64, -128, -192?\n\"Answer: -64*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 64160352649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -628 and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -6*v + 2. Let x(z) = -z + 1. Let y(k) = u(k) - 4*x(k). What is the remainder when 81 is divided by y(-15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 813402584.\nAnswer: 2, 5827, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 16164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -57429 - -104957. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -212122 + -102111000122?\nAnswer: -102111220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**2 - j. Let a(t) = -17*t**2 - 10*t - 1. What is -a(o) + 6*r(o)?\nAnswer: 11*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -35 + 35. Suppose -4*d - 14 = r, -r - d = -v - 1. Let l(h) = -h**2 + 5*h + 1. Determine l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*d + 7*d**3 + 12*d + 31*d**3 - 17*d**3.\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 200 = -4*z + 220 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12)*5 + sqrt(12) + 3.\nAnswer: 3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 4*x + 4 = 0, -3*x - 66 = -5*s + x. Let l = s - 5. Suppose 6 = -l*a + g, 3*a + 2*a = -3*g - 2. Let v(z) = 6*z**3 - 2*z**2 - z. Give v(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 5, j: 3, f: 6, o: 3}. Give prob of sequence fh.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 982560 at most as big as 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -166\/17 + 2369\/408. What is the common denominator of m and -109\/66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.6 and 136.\nAnswer: 137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19 + -21. Let v be (1*n)\/(4\/(-18)). What is the highest common divisor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 489 - 317. Suppose -t = 5*v - 176, 4*v + 2*t = -v + w. Suppose 0 = -2*u - u + v. Solve 0*m + u = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 80*v**2 - 130*v - 27*v**2 - 24*v**2 - 28*v**2 to i*v**2 + p + z*v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(68)*5 + -2.\nAnswer: -2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*21\/6*((-820)\/(-140) + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 5 + -6*sqrt(44)\/(sqrt(4)*-1) - ((3 + -2 + sqrt(1331) - sqrt(1331)) + 1 + sqrt(1331) + 5).\nAnswer: -5*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuqqqqquqquqquuuqqq. Give prob of sequence quq.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173 = -5*i + 52. Suppose 0 = -4*m - m - i. Let u be 10\/6 - 3\/m. Solve 21 = -4*b - 5*y, -u*y - 16 = -b + y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10111010000011 + 10110011001110?\nAnswer: -110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -518519*o**3 + o**2 - 42*o + 130. Let t be w(3). What is t rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28 + (-32 - -79 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -2 + (3 - 74\/40) and 31\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -19*v**2 + 5671*v + 5669*v - 11338*v + 18*v**2 + 453 in the form x + g*v**2 + n*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 5*a - 11 = 0, -s + 8 = -a + 3. Suppose -6 = 2*x + s*m, -4*m - 36 = -2*x - 2*x. Suppose 41 = x*j - 124. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, d: 2, z: 9, h: 2}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7*x**3 + 0*x**3 + x**3 + (-6*x**2 + 2*x**2 + 12*x**2)*(5*x + x - 4*x))*(13*x - 30*x + 11*x) to c*x**2 + o*x**3 + i + f*x**4 + m*x and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1501, 1509, 1517, 1525, 1533?\n\"Answer: 8*x + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -444944.48 take away -0.1?\nAnswer: -444944.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 - 220*g**2 - 436*g. Let c(q) = q**3 + 222*q**2 + 440*q. Let x(a) = 9*c(a) + 8*t(a). Determine f, given that x(f) = 0.\nAnswer: -236, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 451452 (base 7) to base 5\nAnswer: 10023214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.11 + 0.39. Which is the biggest value? (a) d (b) -0.2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 - -6. Let p = 5824.1 - 5824. Which is the nearest to p? (a) 1 (b) -0.2 (c) m (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/9 + (-86540)\/(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uumeecvfumm. Give prob of picking 1 m and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3190\/(-4147) + 184\/104?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1b (base 12) to base 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -a - 4*n - 4, 5*n + 12 = -3*a + 8*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16323 is divided by 3264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 23 + 22. Let n be (-2)\/(-2) + x\/(-65). Let j = -138 - -138. Are n and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 + 14 + 4*d**2)*(5*d - 4*d - 2*d + (4 + 0 - 3)*(-1 - d + 1)).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 19904415*l**3*s - 2*l**2*s - 49*l**2 + 3*l*s + 2101*s wrt l?\nAnswer: 119426490*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor p**5 - 3*p**4 - p**3 + 7*p**2 - 4.\nAnswer: (p - 2)**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r - 110*r**3 + 1 + 95*r**3 + 0*r**2 - r**2. Is g(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 109 - 74. Suppose 0 = -3*j - 2*l + u, -2*j - 14 = -4*j + l. 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: Calculate 9 + -9 + (2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3551*d**2 + 7*d - 6*d - 6414*d**2 - 7202*d**2.\nAnswer: -10065*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3*(-3)\/(9\/(-2)). Suppose -3*v = 4*h - 9 - 9, 2*v = -3*h + 13. Let y(q) = 2*q**2 - 3 - q**h + 6 - 7*q**l - 3*q. What is y(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 179 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 19, r: 1}. What is prob of picking 4 x?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7644 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 57\/14 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*z**2 - 11*z**2 + 36*z**2 to g*z + d*z**2 + j and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (25\/6)\/5 - (-5 - 9794\/(-1680)). Let l(g) be the third derivative of 0*g**4 - q*g**7 + 1\/32*g**6 + 0 - 23*g**2 + 0*g**3 + 0*g + 3\/40*g**5. Factor l(v).\nAnswer: -3*v**2*(v - 6)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -3*o**3 + 31*o**2 - 13*o + 32. What is z(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 - 1\/((-3)\/(-3)). Let w = -3 - -1. Put w, k, -1 in decreasing order.\nAnswer: k, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 439 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1076 + -961.7. Let z = 114 - d. Round z to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 8 = -52. Let q = -116 - 148. Let c = -187 - q. What is the greatest common divisor of c and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 32659046*y. Let a(b) = 2*b**2. What is l(a(g))?\nAnswer: 65318092*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Subtract -97.13 from -5.\nAnswer: 92.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 8868*x + 399074. Give k(-45).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m**4\/7 + 2620*m**3 - 36824*m**2\/7 - 586752*m\/7 + 1761408\/7 = 0 for m.\nAnswer: -4587, -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 5633288 (base 11) to base 4\nAnswer: 211222033231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p, 498 = 2*k - 5*p + 2*p. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -2*t**3 - 7*t**2 + 22*t - 7. Determine z(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 10. Suppose a*q - q = 0. Do q and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 88575179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the first derivative of 2*d - 7\/6*d**6 + 59 + 0*d**2 + 0*d**5 + 7\/3*d**3 + 3\/7*d**7 + 0*d**4. Find the third derivative of y(f) wrt f.\nAnswer: 360*f**3 - 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 83, 0 in descending order.\nAnswer: 83, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 5*w = -19, 2*w - 11 = -4*f + 23. Let t be ((-3)\/9)\/(1\/(-2)). Which is the closest to -1? (a) t (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 9 = 3*u - a, a + 7 = 3*u. Does 17 divide 939\/21 - u\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1386, -2748, -4110, -5472, -6834?\n\"Answer: -1362*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-4)*(v\/v**(7\/4))\/v*v**(-1\/2)*v**(-8\/5)*((v**(-3)*v*v)\/(v*v*v**(-4\/7)))**45 assuming v is positive.\nAnswer: v**(-16399\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 22533*a. Let z(w) be the third derivative of w**5\/30 - 16*w**2 + 11*w + 10. What is z(y(h))?\nAnswer: 1015472178*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 6*r**2. Let i = -2 + 4. Let h(t) be the second derivative of 0*t**i + 1\/12*t**4 + 0 + 2*t + 0*t**3. What is h(f(u))?\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -4 times -0.12\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 216 = 5411*g - 5387*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 69047468?\nAnswer: 2, 7, 151, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 276*k - 2575075000 = 359*k. Round k to the nearest 100000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6*k**3*o**2 - 4*k**3 + 62*k + 14*o**2 wrt o?\nAnswer: -12*k**3*o + 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**2 + 6*z - 6. Let n(t) = -t**2 + 5*t - 6. Let k(b) = 5*j(b) - 6*n(b). Let l be k(0). What is the units digit of (-1)\/(l\/(-15))*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a microsecond in nanoseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1160 + -1152. Let a(n) = -n**3 + 35. Let q be a(0). Let c = q - 22. Calculate the remainder when c is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -59*x + 38. Does 25 divide m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, -6, -0.2, -0.5, -3290 in ascending order.\nAnswer: -3290, -6, -0.5, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -133 - -329. Is ((-2)\/(-1))\/(8\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17 + 31. Let h(o) = o**2 - 13*o - 12. Let g be h(s). Find the third derivative of -4*d**4 + 0*d**4 + 4*d**2 - 2*d**g + 3*d**4 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 1. Suppose 7*s = 6*s + 6. Let h(j) = s*j - 6*j - 9 - 2*j. What is 2*h(v) + 18*n(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1358007 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2 - 3 - 1 - (79 + 23 + -24) - -1\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 165144 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 627 + -624.1. Let a = y - 2.8. What is the second biggest value in -3, 16, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**2 + 49*q**3 + 1 + q + 6 - 20*q**3 - 28*q**3. What is s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - (-1272)\/(-16))*(-2)\/3. What is the greatest common divisor of z and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2590 by 14.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -267*w - 1133 + 599 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 3 + 4 + 1 - 3 + (3 + 1 - 3)*(0 + 0 - 2) + 11 + 2 + 2)*(a**2 - 3*a**2 + 7*a**2).\nAnswer: 65*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1643.72 plus 509334206?\nAnswer: 509332562.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, 0.04, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 114532 + 48884 = 24*c - 36432. Is 40 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0215 * -133208\nAnswer: 2863.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w. Let c(l) = -477717*l**2. Calculate x(c(g)).\nAnswer: -955434*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2147 + -664. Let z = 1478.236 - j. Let o = 0.036 - z. Round o to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 77917 and 55655?\nAnswer: 389585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 3\/7 (c) 8 (d) 1\/6 (e) -0.4 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -596*o**4 + 298*o**4 + 60*o**2 + 297*o**4 - 13*o**2 + 6*o**5 wrt o?\nAnswer: 360*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 4011, 15957, 35869, 63759, 99639, 143521?\n\"Answer: 2*a**3 + 3971*a**2 + 19*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86725 is divided by 104.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 14, 0.3, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and (-3)\/(-5 + 2) + 6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:35 AM and 9:37 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 527.2282 litres to millilitres.\nAnswer: 527228.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the first derivative of -4*y**7\/105 - y**4\/12 + 64*y**3\/3 + 5*y**2\/2 + 24. Let n(x) be the second derivative of k(x). Differentiate n(t) wrt t.\nAnswer: -32*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 11*n**3 - 29*n**2 + 38*n - 94. Give b(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 - 11. Find the third derivative of 19*c**4 + 127*c**3 - 127*c**3 - 18*c**s wrt c.\nAnswer: 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (-5*sqrt(132)*-4 - sqrt(132))))\/(-3*sqrt(60)\/sqrt(5)).\nAnswer: 17*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3021878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be 252\/(-28) + 41960\/5. Is 8383 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(612) - (sqrt(612) + sqrt(612)*1 - sqrt(612))*3)**2 + 5)*-1.\nAnswer: -9812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24476 and 116472?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of -1146*(-75)\/90*28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t + 17 + 1. Let y(z) = z**3 + 8*z**2 - 10*z - 7. Let j be y(t). Solve -3 = -v - 2*v + j*b, -4*v = -5*b - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 168 and 448536.\nAnswer: 3139752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 25694 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 AM and 7:14 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2 + 398*a + 6420.\nAnswer: -2*(a - 214)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (v + 1 + v + 0*v)*(-2 + 4 + 6) - 66 - 5*v + 66 + 2*v - 3*v - 8*v.\nAnswer: 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1151505399 to the nearest integer?\nAnswer: 33934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v + 2*v + 0*v + 1)*(-v + 24*v + 7*v)*(-2*v - v + 2*v).\nAnswer: -30*v**3 - 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -1053 = 79*t + 14*t + 63 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 + 3*l**2 - 30*l + 210. Calculate h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*l = 23653 - 4015. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 248 - 6326 = -481*a - 20246 - 14211 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -52*m - 53. Determine h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -10 + 6. Let x be (-16)\/2*(-5 - -6). List the prime factors of (-2)\/(w\/(x\/(-4)))*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, v: 4, n: 3}. What is prob of sequence vppv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 52 = -4*d, -2*k = -3*k. Solve -a + 60 = -d*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 343 is divided by 201.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-4)*v**(-2))**(5\/3) assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15 - -21. Let w = r - 6. Factor 0*s**4 - 1\/3*s**3 + 1\/3*s**5 + w*s + 0*s**2 + 0.\nAnswer: s**3*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -6\/37, 32.3537.\nAnswer: -6\/37, 0, 32.3537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -183*a - 152*a + 3511 = -7544 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1*sqrt(68) + -2 + 0)**2*-5.\nAnswer: -360 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -10*r**2 - 193*r - 50. Give y(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7091 - -10480. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.197 - -3.803. Which is the third biggest value? (a) 1\/5 (b) -10 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 2*i = -30. Let n be (10\/i)\/(1\/93). Let s be n\/18 - (4 + -1). Which is the second biggest value? (a) -1\/3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 679971\/39 - 14\/(-819)*-9. Suppose -4*m + r = -47841. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(119)\/sqrt(112) + 1.\nAnswer: sqrt(17)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 3*h - 10. Suppose -h*z - 50640 = -3*z. Let l = z - -49360. Round l to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -32*o**3*v + 2*o**3 - 2*o*v - 78*v with respect to o.\nAnswer: -96*o**2*v + 6*o**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 10 = 5*m - 3, 2*m + 10 = 2*g. Solve -98 = -26*l + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/7 + ((-576)\/(-140))\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than or equal to -47\/539872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**3 - 6*d**2 + 6*d - 8. Let a be i(-7). Let h be -3*-67*a\/(-3). Suppose -5*b - 2*g + 124 = 0, b - 5*g = -b + h. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -781739 divided by -617.\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 5 - 5)*(2*a - 3*a + 3*a)*(12*a + 2*a - 1 - 9*a + (1 - 1 - a)*(-1 + 3 + 0) + a - a + a).\nAnswer: -48*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*y**4 - 1106987*y**2 + 4719945.\nAnswer: 8*y**3 - 2213974*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -940.9 + 941. What is the closest to k in -0.4, -0.06, -1\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 252 by 126.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1093 + 1636. What are the prime factors of r?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 840 divided by -42.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3119373 divided by 5.\nAnswer: -3119373\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2417, 2242, 2071, 1904, 1741, 1582?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1240 - 1197. Calculate the remainder when 163 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 44 and 61362763.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 + 4883\/(-4))\/(32\/(-200704)). Suppose v = m + 11*m. Round m to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/4110 and 11\/180.\nAnswer: 24660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(38\/12 + (-4)\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -956.88 - -956.8761081. What is k rounded to five dps?\nAnswer: -0.00389","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(180)*-3)\/sqrt(4).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -16, -0.02, 6\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12.736 + 3.50566816.\nAnswer: 16.24166816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 626863, 1253676, 1880489, 2507302, 3134115?\n\"Answer: 626813*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -18 less than -3550456624.56?\nAnswer: -3550456606.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 1098472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 529310?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (419 + -1)*2\/92. Let o = -4743\/322 + n. Let q = 9607\/154 - 402\/7. Calculate the common denominator of o and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -15*c**2. Let h(o) = -19566*o. Calculate h(j(q)).\nAnswer: 293490*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-477)\/((-370629)\/(-4144))*(2\/2)\/((-6)\/9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 65\/282 and 61\/126.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-2*-3*(sqrt(405) + sqrt(405) + sqrt(405) + (sqrt(405)*-1 - sqrt(405)))*-4*2 + -1))**2.\nAnswer: 3456*sqrt(5) + 3732484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 101911\/62370 - 4\/6237. Let g be ((-4)\/(-45))\/((-2878)\/5). Let a = g + 392855\/51804. Find the common denominator of a and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 16 = -2*c, -x - 26 = -3*c - 6*x. What are the prime factors of c + -3 + 0 + 2 + 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b - 81*b + 201 = 0. Let j(n) be the third derivative of -1\/15*n**5 - 10\/3*n**b + 0 + n**4 + 0*n + 21*n**2. Find l such that j(l) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -25 in -2, -1\/2, -1\/15882, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/14))**(-41) assuming b is positive.\nAnswer: b**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-44)\/(-9) + 9\/81*1. Solve -19 = 4*o - 3*j, 2*j - l = -4*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of 1217*x**5\/10 - x**3\/2 + 713*x**2\/2 + 141*x + 4. Find the second derivative of b(d) wrt d.\nAnswer: 14604*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1009*o + 1902 wrt o.\nAnswer: 1009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + 8*y + 110 = 14*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of 47*o**5\/5 + 534*o - 40. What is the first derivative of k(t) wrt t?\nAnswer: 188*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-3\/5)\/((n**34\/n)\/n*n) assuming n is positive.\nAnswer: n**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 21, 47, 73, 99?\n\"Answer: 26*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -112*x - 43. Let b be z(-6). Suppose -v + 0*p = -p - b, 5*v - 3159 = -2*p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/5 + -3\/20. Let y = 5.214 + -0.214. Which is the nearest to -1? (a) y (b) v (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 65 (b) 2 (c) 0 (d) -2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 8*d**2 - 885*d - 16205. Determine l(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b + 1. Let o(i) = i - 3. Determine -7*h(p) - 3*o(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-46)\/(-156) + (-140)\/(-840)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -117*g + 116*g + 2*b - 13 = 0, -35 - 52 = 7*g - 13*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92*s**4 + 852*s**3 + 1596*s**2 + 1004*s + 168 = 0. What is s?\nAnswer: -7, -1, -6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 0.5 (c) -7326\/5 (d) -1\/429\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 125\/57208944 and 44\/48537.\nAnswer: 171626832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 186 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 368908929, 368908927, 368908925, 368908923?\nAnswer: 368908921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 10, b: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1451*v**2 - 3675*v**2 + 1246*v**2 - 1254*v**2)*(v - v - v).\nAnswer: 5134*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 693943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/5 (b) -998 (c) -0.1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1076*m - 37395 = -1079*m. List the prime factors of m.\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes before 1:43 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g**3 + 14*g**2 - g + 9. Give j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 37\/7 + (-2)\/7. Suppose i*a - a + 64 = 0. What is the units digit of 8*2\/(a\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 37, 71, 105, 139?\n\"Answer: 34*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 45063\/(-726015)*(-5)\/(-9)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*(-2)\/(-20))\/(79\/(5925\/(-570))).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjjjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32\/40*(-1)\/(7\/(-280)*-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 0 = 53. Let f = 5 + k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3874497 is divided by 188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 97*n - 50. Suppose 1 = 11*k - 32. List the prime factors of f(k).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-21)\/(-35)*(-300)\/(-40)*6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (-2 - 1) - 13 - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 + 2*s - 4. Let i be m(-5). Let x(o) = -7*o + 1. Let t(g) = 9*g. Let n(b) = 7*b + 1. Let d(r) = -2*n(r) + 3*t(r). Determine i*x(q) + 6*d(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 38 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -9*-0.11\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5 - 1*15\/3. Suppose 2 = -3*q - 4*y + 18, h = 3*y - 3. Solve 0 = -3*s - q*i + 12, 5*s + 5*i + 0*i = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + 40 + 12 + -11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-28)\/(-12) - 2) + (-128)\/(-3). Calculate the greatest common divisor of b and 989.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the second derivative of -13*b**5\/10 + 8*b**4\/3 + 19*b. What is the third derivative of d(i) wrt i?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 - b6848?\nAnswer: -b6845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6734\/45 + -806\/5. Do -12 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {k: 4, l: 5, n: 1, d: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1772, 3440, 5138, 6872, 8648, 10472, 12350, 14288?\n\"Answer: c**3 + 9*c**2 + 1634*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.004676425 to five decimal places.\nAnswer: -0.00468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.797127 millilitres to litres.\nAnswer: 0.008797127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -3887, -7816, -11805, -15848, -19939?\n\"Answer: p**3 - 36*p**2 - 3828*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 113380014?\nAnswer: 2, 3, 11, 1033, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*o - 62*o = 3*u - 33, u = -2*o + 16. Suppose -2*p + 794 + 3159 = f, -f = -3. Suppose u*m - p = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from rotloscorsos.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 126 minutes after 3:04 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**2 - 8*c - 4. Let g be r(9). Suppose -g*i - 44 = 101. Let a = i + 48. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1697065 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.36 - 0.04. Let s = -2 - -23. Let w = s - 18. Which is the nearest to 0? (a) -0.5 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 7*m**3 - 1. Let y be v(-1). Let r = 3 - y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 22\/(-4)*1*16. Let b = 167 + m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**3 + 7*d**2 + 8*d + 10. Let s be o(-6). Let m be (s\/(-5))\/(13\/1755). Suppose l + m = 148. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 5*c = -3*r + 25987, -5*r + 5*c + 64945 = 0. Find the second derivative of -12986 + r + 75*n - 50*n**3 wrt n.\nAnswer: -300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115282423210 rounded to the nearest one million?\nAnswer: 115282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rnrnurpnnu. What is prob of picking 1 p and 1 u?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:13 AM and 11:08 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-23)*x*x*x**(-18))**(-32) assuming x is positive.\nAnswer: x**1248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -737*c. Let f(b) = -13*b**2 + 388. Calculate m(f(p)).\nAnswer: 9581*p**2 - 285956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) -15 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gggggggggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*b**3 + b**3 + 4*b**3 + b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-o + o + o)*(129*o - 119*o + 177*o)*(1 - o - 1) to the form x + t*o**3 + r*o + v*o**2 and give t.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/6 + (-1)\/(-2). Let m = -3 + h. Let z(c) = -c**3 + 2*c**2 + c. Is z(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.9*0.082.\nAnswer: -0.1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 4*q - 100 = -2*l, -l + 9 = -3*q. Let p = 26 - l. Suppose 3*c - 27 = -c + 3*v, p*c - 40 = 5*v. Solve -h + 4*h = -5*k - 8, -c*h - 4 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(((-2*sqrt(272) + sqrt(272))**2 - sqrt(272))*-5 + 2*sqrt(272) + -2).\nAnswer: -8172 + 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -177 (b) 0.0232 (c) 3\/2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -256, -523, -800, -1093, -1408, -1751?\n\"Answer: -l**3 + l**2 - 263*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 293 * -166\nAnswer: -48638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 203 less than 198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32, -36, -40, -44?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 - 5*l**2 - 3*l - 12. Calculate a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the second derivative of -o**9\/5040 + o**8\/6720 + o**7\/840 - o**6\/720 - o**4\/12 - 6*o. Let c(m) be the third derivative of s(m). Factor c(d).\nAnswer: -d*(d - 1)*(d + 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4956 is divided by 1207.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48 is divided by (1\/2)\/(-5 - 513\/(-102)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.001? (a) -5 (b) -2\/3 (c) 3.13 (d) -2 (e) -1\/30 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 36645930719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 575762850 to the nearest 1000000.\nAnswer: 576000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23 - -22.9495. Let w = 0.0505 + j. Sort w, 2, 180.\nAnswer: w, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 9*v - 75 = 12*v, 4*d - 55 = -5*v. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -543 + 297. Find the common denominator of 87\/14 and p\/32*(-2)\/6.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 5300*o**2 - 2652*o**2 - 11 - 2650*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 2*d - 17 = 119, 3*d = o - 43. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 + 6*s**2 - 3*s + 6. Let d be z(5). Calculate the highest common divisor of 176 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1429209972 and 4269.\nAnswer: 4269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00019785571 rounded to 7 dps?\nAnswer: -0.0001979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8562796*s**2 + 10209115*s.\nAnswer: -17125592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-152*h**2 + 163*h**2 + 98*h**2)*(10*h + 66 - 5*h - 75) to the form p + j*h**2 + c*h**3 + f*h and give c.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 6593657981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.001911 - -35.065089. What is q rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/((10\/(-2))\/(-25)). Let o be 5 + -1 + 2 + l. Solve -q = -0*q - o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -6\/5 and 71\/3516.\nAnswer: 17580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -5*k + 2. Let q be (3\/(-2))\/(24\/32). Let g(s) = 1 + 2*s**3 + s**3 - 11*s - 2*s**3 + 2*s**2 + 10*s. Let o be g(q). Determine l(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-23)\/46*((-470)\/50 - -9). Determine b so that 0 - l*b - 1\/5*b**3 - 2\/5*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*t**5 + 148*t**4 - 180*t**3 + 44*t**2 = 0.\nAnswer: 0, 1\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (1974\/21)\/(((-8)\/(-70))\/((-20)\/(-14))) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/2 and 149\/906?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -n**2 - 3*n**2 + 5*n**2 + (-4*n + 3*n + 2*n)*(2*n - 4*n + 4*n) - n**2 - 2*n**2 + 5*n**2 + n - n + 2*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-27)*(27\/(-675) + (-292)\/200)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -24 (base 14) in base 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 + 46*c**2 - 45*c + 109. Let z be j(-47). Solve -a = 5*o - z, 0 = -a - a + 5*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 22 + 197. Suppose -6*f = -147 - a. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/305? (a) 0.5 (b) 0.2 (c) 568\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3 - 1) + 2 + 20. What is the remainder when 1 is divided by 14\/18 + 4\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13358725.\nAnswer: 5, 131, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 814766875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from fkfruririkre.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 386 - 757\/2. Let g = 23\/3 - p. Factor -1\/3*h**4 + 1\/6*h**5 + 0 + 0*h**3 + 1\/3*h**2 - g*h.\nAnswer: h*(h - 1)**3*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2635*x - 2*m - 3*m = -2631*x - m + 168, 82 = -3*x - 2*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 7 = -4*k + 3*k, -2*k = -v - 4. Let s = 4 + k. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 3*y + 0*y + 2*y**2 - 1 - y + 2*y. Let p(a) = a**2 + a. Give -4*p(c) + u(c).\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - 1. Let t(u) = 2 + u**3 - u**3 + u**3 - u + 5. Is t(q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 87332 - -4?\nAnswer: 87336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 - 10*t - 9. Let m be r(4). Is (-120)\/16*(-5)\/(m\/262) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (919 - 919 + 2*n - n**2)*(-16*n**3 - n**3 + 8*n**3).\nAnswer: 9*n**5 - 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -3*z - 2. Suppose 20*j - 8 = 16*j. Let v(y) = y**2 - 3*y + 3. Let r be v(0). Let l(w) = 3*w + 1. Give j*f(n) + r*l(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18720.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.5, -0.2, 1\/7, 2\/17, 15\/79276?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -413*c + 31428. Let z be p(76). Let b be 420*2\/((-4)\/(-2)). Calculate the highest common divisor of z and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f + 22. Let u be (4 + -19)*6\/6. Give a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 + (-27 - (12 - 32))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -26387 and -0.3.\nAnswer: 7916.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1296) + -2*sqrt(16)*1)\/((sqrt(432)\/(sqrt(54)\/sqrt(6)))\/sqrt(6)).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3697061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 - 8*s**2 + 7*s + 8. Suppose 0 = -5*g + 3*v + 5, 2*g + 4*v - 30 = -2. Suppose -28 = -g*i - 0*i. What is the least common multiple of 10 and l(i)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4*(-9)\/15)\/(45\/75)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3307135925 - 3.28087.\nAnswer: -3307135928.28087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/6*(-2660)\/30 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 - 10*x - 12)*(5*x**4 + 0*x**4 - 3*x**4) + 3*x**5 + 0*x**4 + 0*x**4.\nAnswer: -17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**2 - 242*d - 1596.\nAnswer: -2*(d + 7)*(d + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12? (a) 2 (b) 8 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*m**2 + m**2 - 4*m**5 + 7*m**5 wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 156 in 1, 0.4, 21\/8, -1, -0.4?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -91362*q = -91415*q + 2332 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 12240 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - (-10 + 73) - ((9 - 20) + 12 - 2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*l - 295 = -39*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -44\/7 + 373\/56. What is the second biggest value in 1\/47, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {m: 4, b: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -4*g + 13. Let v be 2*(-12)\/(-32)*4. Let y be d(v). Let j(b) = 6*b**3 + b**2 - 2*b + 1. Determine j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 125467 * 2062.\nAnswer: 258712954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41736.\nAnswer: 2, 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1535310 take away -0.4?\nAnswer: 1535310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4.4 - -6.4. Let w = 88\/7 + -1482\/119. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*8\/(-32)*1*(7 + -6)*86.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 546, 2207, 4972, 8847, 13838, 19951?\nAnswer: 27192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 3.78669952 to 4 decimal places.\nAnswer: 3.7867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -l**3 - 6508*l**2 + 578512*l - 12769856 = 0.\nAnswer: -6596, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of -479*g**6\/30 - 473*g**4\/12 - 251*g. Find the third derivative of n(k) wrt k.\nAnswer: -11496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -266*b + 2130. Let x be h(8). Solve -x*o + 20 = 4*u + 26, 5*u + 4 = o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 29178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1059728 and 3408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -1988*p - 23839. What is l(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the first derivative of -5*d**4\/4 + 4*d**3\/3 - 3*d - 3. Let p(g) = -7*g**2 - 1260*g**3 + 8*g**2 + 1259*g**3 - 1. What is -4*p(m) + y(m)?\nAnswer: -m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2 bigger than 90\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 + -89?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -2*k + 3*k**2 + 7 - 5 + 3 - 2. Let b(m) = 2*m**2 - m + 2. Determine 4*b(h) - 3*o(h).\nAnswer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -13e22 + 1ba?\nAnswer: -13c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*o = -1637 + 6597. Calculate the greatest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -212300221 (base 5) in base 11?\nAnswer: -565258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 345.361269 rounded to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 146234856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 - -2.546242?\nAnswer: 2.946242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11153120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1\/(-2))\/((-1)\/(-10)). Let v = -7 - o. Let p be (2 - (5 + v)) + -39. Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4091*w + 4098*w = 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 37730 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7 + (13 + -19)\/(1\/(-14)). Calculate the greatest common divisor of 28 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 370, -3, 69.79, -0.5.\nAnswer: -3, -0.5, 69.79, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(4\/3)*a*a*a\/(a**(-6\/19)\/a)*a*a**(-22)*a*a**(-1\/3) assuming a is positive.\nAnswer: a**(-279\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 2 = 0, -a - 57*q + 55*q = -481. What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43049 less than 45045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1580 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: Is 2407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 7547069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m**3 + 0*m**3 + 63 - 35 + 50.\nAnswer: -2*m**3 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(96) + -2*sqrt(96) + sqrt(96) + sqrt(96))*4)\/(sqrt(1452)*1 + sqrt(1452) - sqrt(1452) - sqrt(12)).\nAnswer: -16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(3\/2)\/(j*j**(-1)))\/(j**2*j**(1\/8)) assuming j is positive.\nAnswer: j**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 38041393*b**3 + 77*b + 385648 wrt b.\nAnswer: 228248358*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence id when two letters picked without replacement from bzddboi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -28.8 + 3.8. Let a = x + 23. What is the closest to -2 in 0.3, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s = -5*s + 7*s - 24120. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -145, -2\/7, 4\/7, -0.2 in increasing order.\nAnswer: -145, -2\/7, -0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a\/(a\/(((a*a**2\/a*a*a)\/a)\/a)))\/a)**(8\/7)*(a**(-1\/21)\/a)\/(a**21\/a) assuming a is positive.\nAnswer: a**(-394\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ccwwwwwwwwww. What is prob of picking 2 c and 1 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/121 and -59\/143.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1\/5, -4, 0.024, -7\/92?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 111178, 222356, 333534, 444712, 555890, 667068?\nAnswer: 778246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -229, -740, -1595, -2800, -4361, -6284, -8575?\nAnswer: -11240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j + 1078. Calculate a(-131).\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12 and 101316.\nAnswer: 101316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 572050944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of v**3\/6 - 2*v**2 - 17*v. Let z be (-10)\/(-5) + 4*1\/(-2). Determine g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 28*d + 24 = 26*d, 3*k + d = 28 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes before 6:43 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-21)\/84)\/(13\/(-520))*(-1)\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h and 1 u when four letters picked without replacement from huhuhhhhuhhhhh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 - 9. Let o be a(12). Let v be 81\/(-2)*88\/(-66). Calculate the greatest common divisor of o and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 0 - 6 - 17*k + 8. What is the remainder when c(-1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10*h**4*z**2 + 69*h**3*z**3 - 3*h**2 + 495*h*z**3 wrt h?\nAnswer: -240*h*z**2 + 414*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -169 - -279. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.0923762 millilitres?\nAnswer: 0.0000923762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2218 + -2218. Let p(i) be the third derivative of -1\/10*i**5 + 3*i**2 - 1\/180*i**6 - 2\/3*i**4 + h*i + 0 - 16\/9*i**3. Suppose p(j) = 0. What is j?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -160, -3, -4\/13, 0.4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4332924967 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -3004244 divided by -34\nAnswer: 1502122\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 PM and 9:46 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 332, 163, -286, -1153, -2576, -4693, -7642?\n\"Answer: -23*a**3 - 2*a**2 - 2*a + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.1548808 + 0.155. What is f rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 8633, 32515, 72303, 127991, 199573, 287043, 390395, 509623?\n\"Answer: -l**3 + 7959*l**2 + 12*l + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(-1\/23))\/(f*f**(-31))*f*f**(-10)*f**(-4\/19) assuming f is positive.\nAnswer: f**(9541\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 908159 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*y + w = 40, w = 79*y - 74*y - 26 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 130*l**2 - 7*l**5 + 68*l**3 + 110*l**4 - 268*l**3 - 8*l**5 - 25*l = 0. Calculate l.\nAnswer: 0, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4386606 a multiple of 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/20)\/((-22)\/2*-1).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1121 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssssssssuss?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 39 and 16237.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 PM and 8:46 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11533 and 673770.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -637 (b) 27 (c) 10.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 0, 2186, 1\/2, 3 in increasing order.\nAnswer: 0, 0.2, 1\/2, 3, 2186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 4*u - 9*u + 5, -g = u - 4. Calculate the common denominator of (-2)\/3*((-205)\/(-10) + 7) and (1\/u - (-138)\/22) + -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 2)*(-d**3 + 15*d + 0 + 0).\nAnswer: -d**3 + 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, -4, 8 in descending order.\nAnswer: 8, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**3 + 9*d**2 - 9*d + 3. Let c be q(8). Let z(b) = 7*b - 16. What is z(c)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2.69 + -0.31. Put -2\/5, b, -5 in descending order.\nAnswer: -2\/5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, s: 4, w: 2, i: 2}. Give prob of sequence bs.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**2 - 1. Let w(k) = 8*k**2 + 20. Determine -20*b(v) - w(v).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 6*l - 5. Let d be x(-2). Suppose 2*i - 125 + 26 = -h, d*h = -i + 277. List the prime factors of h.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1483.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h**2\/15 + 4*h\/3 - 32\/15 = 0. Calculate h.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(17)*1*1 + -3 + -5*(sqrt(1377) - (sqrt(1377) + 0))*-2)**2.\nAnswer: 30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-111)\/5772)\/((-3)\/(-12)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 69737*-23\nAnswer: -1603951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 15 (b) -207 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 + -62. Let d = -50 - t. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30 and 2820?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2647, 5277, 7911, 10549, 13191?\nAnswer: 15837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -8*o**2 + 2*o - 10. Let p(d) = 9*d**2 - 2*d + 11. What is 6*h(n) + 5*p(n)?\nAnswer: -3*n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74687, 74693, 74711, 74747, 74807, 74897, 75023?\nAnswer: 75191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 w, and 2 s when four letters picked without replacement from wsssscswwws.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -b + 56 + 134, 0 = 4*x + b - 152. Solve -x + 13 = -3*g + 5*d, 0 = 4*g + 4*d - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 3*k**2 - 4. Let t(v) be the second derivative of -v**4 + 15*v**2\/2 + 2*v. Let j = -11430 + 11434. Determine j*t(b) + 15*d(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**2 - 2*t + 1. Let r be p(-1). Let s be (r\/21)\/(7\/(210\/20)). Which is the second smallest value? (a) s (b) 1\/3 (c) 0.051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in four fifteenths of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = -3*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1666*w - 1679*w - 2687 - 2023 - 2010 - 1046 wrt w?\nAnswer: -3345","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -132.48 - -113.4782. Let f = b - -19. What is f rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -3.3 (b) 16\/9 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -231 - -244. Suppose -28 = -x - 5*z, -2*x - u = -3*x - 2*z. Let l(n) = -n**3 + n**2 + 3*n + 4. What is l(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b - 1037 = -3*x, -2*x = -3*b - 3*x + 443. What is the lowest common multiple of 18 and b?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-72)\/42)\/6*(-9)\/6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (51*y**4 - 14*y**4 + 30*y**4)*(-336 + 336 + 61*y).\nAnswer: 4087*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, j: 3, w: 1, g: 1, f: 2, v: 1}. Give prob of sequence fgj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**2 + l. Let s(i) = -4*i**2 - 3*i + 73. Give 6*r(c) + 2*s(c).\nAnswer: -2*c**2 + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17286 + 121004\/7. Which is the closest to l? (a) -154 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -170254 + -209746. What is t rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*p + 14*p - 219 = 0. Suppose -5*y + 196 + 149 = 0. Let v = p - y. Solve v*f + 0*f = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-4*(sqrt(119) - sqrt(119)*-1) + sqrt(119) - sqrt(119))*-3)\/(-5*sqrt(28)\/sqrt(4) + -6*sqrt(7)*-3).\nAnswer: 144*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -12370.52 to the nearest ten.\nAnswer: -12370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 7.185 to 1 decimal place.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-14))\/((-2975)\/(-12495))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (297\/(-15))\/((-66)\/110)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h*h\/(h\/(h**(-4\/7)*h))*h*h*h**(-11) assuming h is positive.\nAnswer: h**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*v + 67 = -19. Solve 5*f = -0*m - 2*m + 19, 2*f + v*m = 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23\/(-6624)*-144*(-7)\/2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5163*-2.506.\nAnswer: 12938.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2\/2)\/1)\/(2*(-125)\/(-1550))?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c**5\/5 - 5*c**4 - 23*c**3 + 101*c**2 - 112*c + 196\/5 = 0. What is c?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -7*c + 45. What is k(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -118 + 117.7. Suppose -20*f = -5*f - 45. What is the smallest value in f, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -91899756+1388358\nAnswer: -90511398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together 209505 and -0.06047.\nAnswer: 209504.93953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 180 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 12*y - 31. Determine q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 15\/2*(-8)\/(-12). Let b = l - -6. Suppose 5*d + 5*r + 40 = 340, r + 4 = 0. Calculate the remainder when d is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from zzczzzzgzgzzzz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -36 (base 7) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -42cbd (base 14) to base 15.\nAnswer: -32d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w + 4*r - 10 = 0, -2*w = -r - 18 + 25 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5e7d - 4?\nAnswer: -5e81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/8112 and -49\/2219984.\nAnswer: 6659952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -6*o + 1062 - 1067 - 24*o. Let u(t) = -59*t - 11. Let r(k) = -13*m(k) + 6*u(k). Let f(w) = w. Give r(f(n)).\nAnswer: 36*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 111 at most 15.356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + s + 4 = 0, -5*s - 10 = -3*j - 4*s. Solve 2*i - j*a - 20 = 0, -4*i + 5*a - 2 + 38 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-724)\/63 - (-161)\/3381 - -12?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -236*f + 26*f + 6060 = -8*f for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - 1\/1 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x + x - 3*x)*(-2*x**2 + 3*x**2 + 2*x**2) - 5*x**3 - 2 + 2 + (-3 + 4 - 2)*(x**2 - x**2 - x**3).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -996631, -996627, -996619, -996607, -996591, -996571?\nAnswer: -996547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -259874, -519733, -779592, -1039451, -1299310?\nAnswer: -1559169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7485 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-11)\/((-231)\/18) + (-2167)\/(-77)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*d + 46*d = 4*l - 5, 0 = 4*d + 4*l - 12. Let f(n) = 10*n. Let m(q) = -3*q. Let g(u) = 3*f(u) + 8*m(u). Calculate g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 72 - 16 = 0. Suppose -10*p = -j*p + 28. Calculate the remainder when 18 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f**2. Let u(n) = -51*n**2. What is u(q(z))?\nAnswer: -204*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1690, -1715, -1756, -1813?\nAnswer: -1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2944594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -2*u**2 - 14*u + 1. Let g(k) = -3*k**2 - 24. Let n(s) = c(s) - g(s). Give n(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 675449998?\nAnswer: 2, 337724999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**4 - 3449625*d**3 + 1322211365748*d**2 - 168930131456883888*d - 168931453671699264.\nAnswer: 3*(d - 383292)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15487*y**3 - y**2 + 7739*y**3 + 4*y + 7737*y**3 to the form z + w*y**3 + f*y + s*y**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - 9. Let i(m) = 2*m + 3. What is i(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/150 and 56\/78425.\nAnswer: 470550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 42601 or 17192?\nAnswer: 17192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/15054 and -67\/546?\nAnswer: 105378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1312 bigger than -1312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*z + 3*z - 3*z - 6*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 138506516, 138506515, 138506514, 138506513, 138506512, 138506511?\nAnswer: 138506510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 1.64603 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 27 = -3*i, -31*i + 33*i = 3*r - 42 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 6.8, 270 in ascending order.\nAnswer: -0.3, 6.8, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**2 + 13*u - 15. Let p be o(13). Let g(n) = -n**2 - 16*n - 10. What is the units digit of g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1032172 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 583245 is divided by 1658?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4575439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 251 (b) 0 (c) -1057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 80*l**2 + 1793*l + 419. Give j(-22).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 23, 11, 723, 13, 16 in decreasing order.\nAnswer: 723, 23, 16, 13, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 7 = -5. Suppose 0 = -2*k + q - 2. Suppose 4*w + 31 = 5*l, -3*l + 2*w - 7 = -8*l. Are k and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 485*c - c**3 - 1449*c + 483*c + 481*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -127\/299712 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 AM and 10:24 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 15948 * -9.7.\nAnswer: -154695.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*m + 2*o + 14, -4 - 15 = 5*m + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -6*h**2 - 2*h + 3. Let b(r) = -19*r**2 - 7*r + 10. Give 2*b(g) - 7*l(g).\nAnswer: 4*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -42782 and -0.3.\nAnswer: 12834.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**3 + 5*p**2 + 4*p - 14. Let k be z(5). Solve v - 5 = k*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 3*t - 3*h, -2*h - 7 = t - 7*h. Suppose 3*a = z + t, -2*z + 4 = -5*z + 4*a. Suppose 4*m + m - 1335 = z. What are the prime factors of m?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 10, -3*q + q - 5*j - 22 = 0. Let z = 188 - 288. Let f be z*(-1904 - q\/4). What is f rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 850 or 901?\nAnswer: 850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 140 and 290?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the third derivative of 0 - 31\/6*a**4 + 45*a**2 + 2*a + 29\/2*a**3. Find the first derivative of n(x) wrt x.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 14*n - 6*n**3 + 7 - 82*n.\nAnswer: -6*n**3 - 96*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -16*a + 1836. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from lzmmmmzzmmllzlm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*r - z - 2, -63*r + 59*r + z - 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the second derivative of 13*n**5\/20 + n**4\/6 - n**3\/3 - n**2 + 1828*n. Let s(g) = g**3 + g**2 - g - 1. Give 2*s(h) - z(h).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -231*k**5*p - 36*k**2*p - 84*k*p + 2*k - 2*p - 166 wrt k.\nAnswer: -4620*k**3*p - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*q + 56*q + 444 + 1976 = -152*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**2 - 51*c + 119. Let k be n(31). Let w = k + 517. Calculate the remainder when 186 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 200518492*w**2 - 3800257 wrt w.\nAnswer: 401036984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 169709*i**2 + 169539*i - 170.\nAnswer: (i + 1)*(169709*i - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 4 (b) -6 (c) -1\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 710058915 and 21825.\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -157\/540 and -47\/1188.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*s**2 - 13*s**2 + 8*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 50.78933ug?\nAnswer: 0.00005078933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -447, 3, -14?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(10)\/(4*sqrt(45)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a**3 + 9*a**3 - 3*a + 0*a - 5*a.\nAnswer: 10*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -240, -232, -210, -168, -100, 0, 138?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 295803, 591604, 887405, 1183206, 1479007, 1774808?\n\"Answer: 295801*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -2, -708, 5, 12.\nAnswer: -708, -2, 0, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 6028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 28 - 15. Solve 0 = 5*y - 7 - m, 20 = -z + 5*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, 8 in decreasing order.\nAnswer: 8, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2445)\/(-70) - -154*(-5)\/22.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4437, 12429, 20421, 28413, 36405, 44397?\nAnswer: 52389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 2*a**2\/5 + 94016736*a\/5 + 1104893331011712\/5 = 0.\nAnswer: -23504184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -227, -11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1318351 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 138558887?\nAnswer: 19, 7292573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -115.057 - -0.01.\nAnswer: -115.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 150*w + 512*w + 49 = 3359 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*l + 4*l - 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 125 = 5*x, 2*w + 2*w - 84 = 4*x. Let j = -145 - 407. Let a = j - -734. What is the remainder when a is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/4 and 51\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the third derivative of -j**8\/36 - 43*j**7\/630 - 17*j**6\/360 - j**5\/90 + 7*j**2. Let o(l) = 0. Calculate l.\nAnswer: -1, -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*(z*z**(1\/5))\/z)\/z)\/((z**1\/z)\/z))**35*((z*z*z*z**(-1\/4))**(-36))**(-2\/113) assuming z is positive.\nAnswer: z**(4944\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -448, -392, -298, -166, 4, 212?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 + -5.9. Let w = -5.8 - p. Let d = -37 + 335\/9. Which is the second biggest value? (a) w (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 12 = 2*n, -t + 19 + 0 = 5*n. Let r be 2 - 2*t\/2. Solve -r*z = -15, -4*s + 15 = -2*z + z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/(-36) - 5\/(180\/(-64)). Determine r so that 2\/3*r**y - 2*r + 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 7*f**2 - 5*f + 5. Let x be 32*4 + (8 - (-72)\/(-12)). Let y = -125 + x. Let h(g) = -3*g**2 + 3*g - 3. Determine y*h(z) + 3*d(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 90 - 57. Let p = j + -33. Solve 5*h + 15 = -5*g, p*h + 2*g = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the third derivative of -2*c**5\/75 + c**4\/60 - 5*c**2 + 1. Determine l, given that m(l) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**3 - 13*l**2 + l + 10. Let a be o(13). Suppose m + a = 919. Suppose 3*u = -5*i + u + m, -2*u = 4*i - 718. Round i to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 + 12. Let z = y + -2.928. Let i = -0.0720033 + z. Round i to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f + r + 1823 + 1537, f = 5*r - 1658. Let y = 375 - f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in -4, 47, -0.03, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -21 + (19 - (-18 + (12 - -10)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of -o**6\/30 - o**4\/6 - 8*o + 5. Let c(a) be the first derivative of q(a). Find the third derivative of c(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 393*z + 416*z + 76 = 828*z. Let i = -56 - -156. What is the greatest common factor of z and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*l**3*o**3 - 459*l**3 + l**2*o + 22*l**2 - 3788*l*o**2 + 30*l + 494*o**5 - o wrt o.\nAnswer: 36*l**3*o - 7576*l + 9880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -121*y + 525*y - 115544 = 0. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 17520380.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 7 - 5 = 0. Let x(r) = -r - 2. Let a be x(v). Is a not equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -2 + (39 - 53 - -14) + -21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 3197365191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(288) - (6*sqrt(18) + sqrt(2) + (sqrt(2)*1*-3)**2))*-4.\nAnswer: 28*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -203*g - 8846 - 4553 = 207*g + 131 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 373 - 372 - (-3 - -1 - 1336) is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 423 - 60. What is the greatest common factor of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 + 6*n**2 + 3. Let k be v(6). What is the first derivative of 1 - 6*s**3 - s**k + 3*s**3 wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -3*w**2 + 63*w - 22. Let u be x(20). Suppose u*p = 33*p + 35. Solve -p*g + 8 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 + 3. Let h = q + 5. Let b = 25 - h. Solve 10 = -5*x, -4*u + 4 + b = -5*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10734883*n**3 - 138452198*n**2?\nAnswer: -64409298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 34 = 5*v + 13, 0 = -2*x + 8. Let c be (18\/21)\/(v\/(-441)). What is the highest common factor of c and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 - f + 1. Let x(j) = -4*j**2 - 7*j - 4. Let q(k) = 2*b(k) - x(k). Let d be q(-3). Suppose -17*r + d*r = -1728. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 39 = 3*t, -3*s + 9 = 5*t - 2*t. Suppose -5*v - s + 26 = 0. Solve q - v = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of 1\/20*p**5 + 0*p**2 + p + 1\/3*p**3 - 7 + 0*p**4. Let r(f) = 4*f**3 + 6*f. Determine 5*r(s) - 16*t(s).\nAnswer: 4*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*n - 891 = -56*n - 4*f, -5*n + 4*f + 4503 = 0. Calculate the remainder when n is divided by 443.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-884)\/(-663)*(-1)\/(-1*(-3)\/18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -0.22, -0.2, 20, 71\/5 in decreasing order.\nAnswer: 20, 71\/5, -0.2, -0.22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 11369 divided by 9364\nAnswer: 11369\/9364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5097039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ljoowjwwwljwwwesjweo. Give prob of picking 1 w and 1 e.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 283 + 7*m + 448022*m**2 - 297 + 79755*m**2. Let t = -43 + 49. Let u be a(t). What is u rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 2*y + 14 = 0. Let b = y - -9. Suppose -3*v - 72 = -0*a - 4*a, -2*a + 36 = b*v. What is the lowest common multiple of a and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2528.0251 - -2528. What is m rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 927138 and 2163322.\nAnswer: 6489966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -35\/4 (b) 2 (c) 3 (d) -14\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sp when two letters picked without replacement from {w: 1, s: 1, z: 5, p: 3, a: 1, f: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 + 85. What is the highest common divisor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9121850 is divided by 3573.\nAnswer: 3554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g - 15 = 2*s - 13, 4*s = g + 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/240*9*(-365)\/(-3723)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 37696116, 37696120, 37696124, 37696128?\nAnswer: 37696132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:51 AM and 5:34 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be 219\/4 - (-1)\/4. Let l = -57 + x. What are the prime factors of -2 - (-94 + l + 3)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-9)\/(-1) + (-1 - -1). Let b = q + -4. Suppose 0*y = 5*u + b*y - 30, 4*u = 5*y - 3. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from qqqfzzqxqfqq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -7*f - 5. Let j(y) be the second derivative of y**3\/6 + y**2\/2 + 11*y - 128. Give c(a) + 2*j(a).\nAnswer: -5*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 748488156 - 748488108.0000089. Let g = -48 + s. Round g to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -91231844 > -91231845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (16\/20)\/((-12)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9892700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(528))\/(sqrt(3) - sqrt(12)\/sqrt(4)*-3).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 788319\/35910 + (-1)\/19 - (-2)\/20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-7)\/2*(-12)\/21. Let p be (-9)\/(z + 0 + -3). Suppose 2*o = 23 + p. Solve 5*t + 20 = -5*v, -o = t + 3*v + 2*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/3968 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(132)\/(sqrt(972) - -3*sqrt(972) - sqrt(972)) + 3 - (sqrt(330)\/sqrt(96))\/((-2*sqrt(125) - sqrt(125)) + sqrt(125) - sqrt(5)).\nAnswer: 71*sqrt(11)\/1188 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -414*v - 35657 + 2123 = 0 for v.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -2*d**2 + 2*d + 18. What is p(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 2 + -4 + -3*((sqrt(128) - (-4*sqrt(128)*2)**2) + sqrt(128) + 3 + sqrt(128) + 4).\nAnswer: -72*sqrt(2) + 24552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -25*y**2 - 68*y - 31. Let q(v) = -11*v**2 - 34*v - 14. What is -7*q(r) + 3*z(r)?\nAnswer: 2*r**2 + 34*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the second derivative of -p**6\/120 + p**5\/60 + p**4\/24 - 7*p**3\/6 + 3*p**2 - p. Let u(n) be the first derivative of y(n). Give u(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 9001*t + 5. Let z(w) = 12146849*w + 6747. Determine -6747*a(x) + 5*z(x).\nAnswer: 4498*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4747287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**2 + 14*r. Determine t(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 + 2.02. Let o = 2.02 - c. Let a = 77.1 + -77. What is the closest to -1 in a, 3\/8, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112)*3 + 1 + -1*sqrt(7) + sqrt(7))**2.\nAnswer: 24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20*u**2 + 17*u**2 + 17*u**2)*(-5 - 3 + 2).\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -53*t. Let z = 9 - 12. Let i be 2\/(-6) - (-2)\/z. Is p(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 151904441?\nAnswer: 13, 11684957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2121 - -21?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 4*t + 4. Suppose -4*w + 8*w = -o + 889, -4*o = 4*w - 880. Let s = 219 - w. Determine l(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 4*j - 26, 23 = 5*j - 0*p - p. Let i = 6 + -4. Let n = -409 - -414. Solve 7*t = i*t - 3*m - 29, 0 = -j*t - n*m - 35 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*v + 4*v. Let c(t) = 2*t**2 + t - 1. List the prime factors of c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000338528 rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.09? (a) -0.1 (b) -37\/2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 PM and 3:17 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -5*b**2 - 108*b - 471. Determine q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(847) + 1)**2.\nAnswer: 44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:12 PM and 8:47 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14655997?\nAnswer: 14655997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = d + t - 358, 3*d = 3*t + 1074. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -169026 * 10.1\nAnswer: -1707162.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**3 - 25*s**2 - 27*s + 28. Let l be n(26). Let a(w) = -19*w - w**3 - 16*w - 5 + 6 + 31*w - 5*w**l. Determine a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 414\/((-4)\/((-16)\/6)). What are the prime factors of ((-3)\/2)\/((-9)\/y)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -4*f - 83. Give m(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 21230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -1\/2*a**2 + 0 + 0*a - 1\/4*a**4 - 3\/4*a**3 = 0. Calculate a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 44 in 2, -2\/11, -1, -2, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -22*z + 27. Is j(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-64)\/1)\/(-2) + 0. Suppose 4*o - o + 2*n + 78 = 0, -3*o - 87 = -n. Let r be (114\/133)\/((-3)\/o). Calculate the greatest common factor of r and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-seven fifths of a milligram in micrograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1192, -652, -140, 344, 800, 1228, 1628?\n\"Answer: -14*f**2 + 582*f - 1760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = 2, 4*f - 727 = 5*u + 330. Which is smaller: f or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 91 divide 271272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/1 + (-28 - -26). Suppose -7*d + j*d = -56. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in -4*u**5\/3 - 4*u**4 + 8*u**3\/3 + 8*u**2 - 4*u\/3 - 4 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -86830 minus 3?\nAnswer: -86833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, -121, -459, -1121, -2215, -3849, -6131, -9169?\nAnswer: -13071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*((q\/(q\/q**(-1\/4)*q))\/q)\/q)\/(((q**(1\/4)*q)\/q)\/q))\/(q*q\/(q\/(q\/(q\/(q**2*q)))))**(-15) assuming q is positive.\nAnswer: q**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Do 3384 and 3505 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 122162 and 1462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 3249 divide 19646703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 592656938\/5395 - 109853. Let u = d + -685237\/129480. What is the common denominator of -81\/32 and u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 6856?\nAnswer: 6856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (3*g - 3*g - g**2 + (-4 + 4 + 2)*(-2*g**2 - g**2 - 4*g**2))*(-1 + 16 - 5 + 28 + 29) as i*g + u*g**2 + j and give u.\nAnswer: -1005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 160451702 and 1034?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -7. Suppose 2 = 3*i - q. Let s(b) = b + 5 + 2*b - 4*b - 3*b**i - 2. Let w(v) = -4*v**2 - 2*v + 4. Calculate 3*s(c) - 2*w(c).\nAnswer: -c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 2079*k + 152 - 156 + 4 in the form u + j*k and give j.\nAnswer: 2079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -926\/11, 4\/5, 1.1, 0.1, -2\/9 in increasing order.\nAnswer: -926\/11, -2\/9, 0.1, 4\/5, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*v - 288 = 15*v. Let h(y) = -y + 3. Let a be h(0). Suppose -d + v = d + a*t, -t + 49 = d. What is the greatest common divisor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-17) + (-288)\/(-136). Suppose -c*x = 97 - 1233. List the prime factors of 21\/(-84)*x\/(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*a + 763 + 449 = -18*a - 42 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2599 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**3 - 106*w**2 + 219*w**2 - 7*w**3 - 113*w**2.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -133\/6 and 119\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -846973 by -12.\nAnswer: 846973\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 675 = -8*d. Let n = -37 + d. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 80\/(-128) + 14 + (-80179)\/6216.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -57*o**2 - 37*o - 6. Let t(v) = 113*v**2 + 73*v + 13. Let u(z) = -13*a(z) - 6*t(z). Find the second derivative of u(j) wrt j.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the second derivative of -q**5\/10 - 7*q**4\/6 - 10*q**3\/3 - 186*q. Factor o(x).\nAnswer: -2*x*(x + 2)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/5 in 10, -164593, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*x - 81*x + 1017 = -6*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/38 greater than or equal to -24.0928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -32545 + -320?\nAnswer: -33165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.67 + 4.67. Suppose 2*k = -0*k + 24. Let a be (-13)\/3 + (-8)\/k. What is the second smallest value in -3, u, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -16388 - -16387.1. What is the biggest value in 1\/9, y, 5, -4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 4*p + p, 0 = -d - 3*p. Let f = 6 + d. Suppose i - 9 - f = -5*v, 16 = -v - 4*i. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1621537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 167 and 476117?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 8) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1001 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t**5 + 1353*t**4 + 211188*t**3 + 13907856*t**2 + 326625024*t - 340745424 = 0.\nAnswer: -206, -82, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 847992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -2 - 5 + g - 1 - 1. Calculate i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1632 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/18 - 880\/396 - -25. Is k <= 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v - 160 + 172 = 0. Let m(p) = 4*p - 6. Let h(n) = -3*n + n + 1 + 3*n - 2*n. Calculate v*m(g) - 5*h(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve a - 6*g = -2*g, 5*a + 4*g = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 45 = 7*u - 2*x, -u + 4*x = -27. Suppose -3*f = -u - 2. Let d(z) = 2*z. Determine d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13*m**3*r**3*v + 2*m**3*r**2*v + 10*m**2*r**3*v + 3*m**2*r**2*v wrt m.\nAnswer: 78*r**3*v + 12*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -1007*y - 152. Let b(f) = -4*f - 3. Let l be b(-2). Let s(o) = 33*o + 5. Let c(u) = l*t(u) + 152*s(u). Let r(d) = 2*d**2. Determine r(c(w)).\nAnswer: 722*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be -4*3\/24*-8. Suppose -j + 38 + 324 = -q*f, 4*j - 1388 = f. What are the prime factors of j?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 11055103 (base 6) to base 16\nAnswer: 5196f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/(-2)*8\/6. Suppose x - 17 = w, 2*x - 5 = -4*w + 47. Calculate the highest common divisor of x and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = 4*k + 15 - 67, 28 = 2*d + k. Let q = 2922 - 2804. Calculate the remainder when q is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**2 - 354*m - 5917. Determine z(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 20553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 316239 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -0 - 4. Suppose s + s = -i. Are s and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 95895726?\nAnswer: 2, 3, 1193, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6 - -3113?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -53.725 - 4.24.\nAnswer: -57.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16 + -9. Suppose -2*g + o = -3*g. Let c = g + 8. What is the remainder when 1 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0164 times -0.0665?\nAnswer: -0.0010906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-61 + -1 + 2)\/((-74694)\/49796)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (408\/51)\/(7\/((-21)\/(-4)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-2)*(2 + 10). Suppose 3*q + h = 7*q. Solve -4*o + 0*n + 2*n = 14, 0 = -n - q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-10 + 968\/66)*13662\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from {k: 8, i: 2, r: 2, c: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*k**3 - 21*k + 29*k**3 - 57*k**3 wrt k?\nAnswer: -132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -60 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((260\/(-39))\/(-10))\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*c + 320 = 2114. Suppose 20*a - 11 = c. Solve a*k + 20 = -3*j + 7, -2*j - 4*k = 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2868104 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 5*k - 5, -3*c - 3*k = -9. Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, -3, 1\/9, -10, -1.358?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 9666308723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -101235\/1268 and -80 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -2*i + 3*i. Let s be (-4 + i)\/4 + (-262)\/(-4). Let n = s - -90. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*v + 3*v**2 + 0*v**2 - 5*v wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -34*n + 33*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.6 (b) -0.03 (c) -38 (d) 0.4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -20720 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/39, -8, -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1150.17 - -1149. Round p to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 761821.4 grams to milligrams.\nAnswer: 761821400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and 45.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 30.108 + -29.808. Sort 1\/4, -16, 5\/4, c in ascending order.\nAnswer: -16, 1\/4, c, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111722245 to the power of 1\/2, to the nearest integer?\nAnswer: 10570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((-3 + -2 + -3 + sqrt(475) + sqrt(475)*1*-2)*-6 + 2)**2.\nAnswer: 3000*sqrt(19) + 19602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-1) + 1 + -3. Suppose -334*r + 3 = -333*r. Suppose r*f + 32 = -t + d*t, -5*t + 216 = -f. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3526662826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o\/(o*o*(o\/((o**(2\/7)*o*o)\/o*o))\/o))*o)**(9\/5))**(-10\/3)\/((o**(2\/23)\/o)\/(o\/(o*o**2\/o*o)))**(-16\/9) assuming o is positive.\nAnswer: o**(-3410\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by 10698.\nAnswer: -2\/1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/2165 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44918055?\nAnswer: 3, 5, 7, 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.01187*-97.8\nAnswer: -1.160886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35 - 32. Let c be (-2)\/y*144\/12. Is (-9894)\/(-10) + c\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -10*k - 5. Let t be z(-4). Find the third derivative of -9*g**6 - t*g**3 + 35*g**3 - 9*g**2 wrt g.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 43 = -71. Let z be (1 + a\/5)\/(-2 + 0). Sort z, 1\/7, 0.1, -1\/4 in decreasing order.\nAnswer: z, 1\/7, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -293233 - 293236 + 36*x**2 + 2*x + 586469.\nAnswer: 36*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-3)\/(-15))\/((-21)\/(-15))*126\/45. Let c = -0.7 + 0.2. Let t = 14 - 14.07. What is the nearest to 0.1 in p, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 3*z - 33, -2*k + 16 = 2*k. Let l = z + -4. Differentiate -6*x**3 + 1 + 4*x**l + 0 with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -20114 - -1?\nAnswer: -20113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13, -73, -239, -565, -1105?\nAnswer: -1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 15 in 295, 0, 3, -0.3, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*m - 4*m + 25*m - 7*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 2*s**4 + 2*s**3 + 2*s**2 - 4*s - 4. Let z(h) = 5*h - h**3 - 1 + h**2 - 5*h. Let w(t) = -c(t) + 2*z(t). Factor w(l).\nAnswer: -2*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (((-35)\/(-175))\/(-1*8\/(-10)))\/1. Which is the nearest to m? (a) 1 (b) 3 (c) 15 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 9\/8?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 8589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -37. Suppose v = -2*h + 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 57, 1433, 4147, 8217, 13661?\nAnswer: 20497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -8*g - 918. Give z(-78).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*t**3 + 3*t**2 + 9*t**3 - 15*t**3 + 4 - 3 to z*t**2 + x*t + n + p*t**3 and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 + 2*s**2 + 5*s + 3. Let u = -1 - -3. Suppose 0 = -u*j - 10, 2*o - 3*o + 4*j + 24 = 0. Determine c(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 496 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-21))\/((-25)\/(-35)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -237647273\/180 - -1320288. Let g = t + -73\/45. Find the common denominator of (-6)\/21 + (-172)\/35 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -95.909994381 + 95.91. What is r rounded to seven dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - 5*r + 3. Let l(h) = 12*h**2 + 4*h - 5. Let c be l(2). Let d = 54 - c. Let a(f) = -f**3 + 3*f - 2. Determine d*i(s) + 5*a(s).\nAnswer: -2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -466 + 5*n - 540 + 2098 - 550 - 4*n - 542.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.1 + -2.9. Let p = -0.7 - -11.7. Let w = p + -10.9. Put g, w, -4 in ascending order.\nAnswer: -4, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -19083165.3 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 3*o - 21. Let h be x(8). Suppose 3*i - 18 = -3*u, 0*u - h*i = -5*u + 22. Solve 0*t + t = u*m - 25, 2*t = 4*m - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10045?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4986374.\nAnswer: 2, 2493187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cuxwxwcuwwcwwnxcw. Give prob of picking 2 w and 1 n.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5920 and 10360.\nAnswer: 41440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 2*i**4\/15 - 204*i**3\/5 - 115298*i**2\/15 + 117116*i\/5 = 0.\nAnswer: -134, 0, 3, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5070761 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/6*(-7)\/((-91)\/(-13))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -4*s**2 + 32*s + 2. Let w be f(8). What is the first derivative of -37*n**2 + 8 + 6 + 13*n**w wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 56\/9 - (-2)\/(-9). Let a = d - 3. Solve -a = -3*w - 0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.04 - 2.04. Let w = n - -1.9. Suppose 3*u - 11 = 4*p, 10 = -8*p + 3*p + 3*u. What is the nearest to w in p, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 413913686?\nAnswer: 2, 206956843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 3*v + 6. Let x be z(-3). Is ((-1)\/x)\/((-2)\/(-1758)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*a - 9*a - 3*a + 7 - 4*a - 5 as c + q*a and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 645682 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1432.17361*5\nAnswer: 7160.86805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the third derivative of 17*s**7\/6 - 943*s**4\/24 + 68*s**2. Find the second derivative of g(f) wrt f.\nAnswer: 7140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7552828 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45772?\nAnswer: 2, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -0.632, -6, 4 in increasing order.\nAnswer: -6, -0.632, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 75020 or 75029?\nAnswer: 75029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ifc when three letters picked without replacement from ifiqchcq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2205 = -7362*b + 7397*b for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 14348747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.51 - -0.11. Let k = u + 2.2. Round k to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 832*q + 62090 + 13821 = -969*q - 12338 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1424 - 1?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.07 (b) -107.3 (c) 2 (d) -4 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -161809\/925080 - 2\/23127. Calculate the common denominator of n and 73\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4269612802 to the power of 1\/3, to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, w: 7, m: 2, h: 2}. Give prob of picking 2 h and 1 w.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 5\/6, 0.3, 2\/7, -578, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 957?\nAnswer: -1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(1\/13))\/(o\/o**(-2)))**(-6)\/(o*o\/(o**(3\/4)*o)*o*(o*o**(-1\/2))\/o*o)**(2\/9) assuming o is positive.\nAnswer: o**(2609\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5 - ((-1)\/(-5) - (-14848)\/(-3040)). What is the closest to -1 in 3\/2, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert a05 (base 11) to base 14.\nAnswer: 62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 342, -8828, -2 in ascending order.\nAnswer: -8828, -2, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 - 5.5. Let j = h - -2. Let p = 5.1 - 5. What is the nearest to p in j, 1\/8, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 times 38712\nAnswer: 387120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4607 = -5*w + f - 625, 0 = -5*w - 3*f + 3974. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -1447*d**2 - 729*d - 5. Let w(v) = 1447*v**2 + 705*v + 6. Let b(c) = -6*o(c) - 5*w(c). What is the second derivative of b(i) wrt i?\nAnswer: 2894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5 - -2)*(-1 - -2). Let h = 250 + -250. Let q = 13\/15 + -2\/3. Which is the nearest to h? (a) -0.1 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1493 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*x + 9657177 - 9652834 = 0 for x.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -30 + 26. What is the biggest value in 1\/3, 6\/5, 1\/6, n?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 9541235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 1 = -3*y, 5*y + 2 = -4*x - 5. Suppose -x*k = -7*k + 385. Let d = -1770 + 1777. Calculate the greatest common divisor of k and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -353*t. Let u(s) = -3*s - 176. Give i(u(x)).\nAnswer: 1059*x + 62128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -910*135.\nAnswer: -122850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, d: 1, z: 1, e: 3}. What is prob of sequence et?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 2*y**3 - 22*y**2 + 2*y - 20. Let i be c(11). Solve -i*g + g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.275 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 131\/612 and 95\/612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 66 (b) -64\/17 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 + 56*l**2 - 57*l + 108. Let z be r(55). Let j(y) = -4*y**2. Give j(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 252, 3\/2, 0.18, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18712806 is divided by 4678197.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-5 - (-2 + -11 + -2))*148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1325968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 1130 (base 8) to base 13.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 493125 and 1.\nAnswer: 493125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -25*c**3 + 404*c**2 - 64*c + 6. Give u(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 15 - (-5 + -12 + 84 + -3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 687 minutes after 6:34 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = 3*g + 44725, 84*b = 85*b - 2*g - 22365. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 310837.2831 rounded to the nearest one hundred?\nAnswer: 310800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n*n**(-1))**(-40)\/(n**(1\/4))**(-7\/13)*n**(-1\/9)*(n\/n**(3\/8))\/n*n*(n*(n**0\/n)\/n)**(-31\/5) assuming n is positive.\nAnswer: n**(-155149\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 9 - (-3 - (0 + -11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 29\/5 of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -96*f + 1288 + 168 = -200*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/7))**(2\/79)*(y**(-1\/2))**(-22)*(y*y**(-1\/2)*y)**(-32)*y**(-6)*y\/y**(-2\/3) assuming y is positive.\nAnswer: y**(-68584\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be -27*1\/(-15) - (2 - 0). Which is the closest to 1? (a) n (b) 5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 578 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 + 39*c - 256. Give j(16).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -464, -922, -1368, -1796, -2200?\nAnswer: -2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = 2*b - 11 - 11, -3*b = 3. Let h(r) = -78*r + 0 + 38*r - 9 + 53*r. Is h(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 33105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i**2 + 3*i**2 + 2*i**3 + 2*i**2 - i**3 + 3 - 3 + (5*i + i - 4*i)*(3 - 3 - i**2).\nAnswer: -i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yh when two letters picked without replacement from yynynynhyw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -4*c - 40. Let r = 34 + c. What is the greatest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(4 + 1 + sqrt(343) + -1 + 1)**2*-6.\nAnswer: -2208 - 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + 2. Let u(q) = -4 + 5*q - 5*q - x*q. Let j(f) = 6*f + 6. Determine -5*j(a) - 7*u(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -1159 * 0.36.\nAnswer: -417.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.2, 0.1, 350.508?\nAnswer: 350.508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -107 + 967\/9. Which is the smallest value? (a) 46 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 18471 * 0.16.\nAnswer: 2955.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 32\/13989217 and 50\/77.\nAnswer: 97924519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -8829, -8825, -8819, -8811, -8801, -8789?\n\"Answer: y**2 + y - 8831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 171*d - 6. Suppose -247*q = -244*q - 6. Is y(q) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83730.\nAnswer: 2, 3, 5, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 40056*a - 165808?\nAnswer: 40056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(6*((sqrt(140) - sqrt(140)*4) + sqrt(140)) - sqrt(140))\/((-3*sqrt(30))\/sqrt(6)*5)*6.\nAnswer: 52*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 0*c = 3. Let p = c + 2. Find the second derivative of t - p*t + 0*t**2 + t**2 wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of -b**4\/4 - 7*b**3\/3 + b**2 + 10*b - 6. Calculate i(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (11 - 5) - -6 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 + 118*h - 279. Determine y(10).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minus -14144.48384646?\nAnswer: 14146.48384646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3149 + -28369\/9. Let y = 158\/45 + u. Solve y*z**4 - 4\/5*z + 4\/5*z**3 - 2\/5 + 0*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 914\/(-40) - (-189)\/42840*-34\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -36.5247 and -3?\nAnswer: 109.5741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 75 by -3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -518*k - 138*k = 3795 + 8013 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43430 - 43430 + t**2 - 4*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 1bd61 (base 16) to base 11.\nAnswer: 78732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.24 + -0.3. Let g = 3.94 - t. Let q = g - 0. Put 0, q, -1\/2 in decreasing order.\nAnswer: q, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1639081459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 37. Calculate the highest common divisor of g and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96828.36ms in seconds?\nAnswer: 96.82836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/9*957\/770. Let z = -4\/15 - f. Sort -5, z, -2\/3 in decreasing order.\nAnswer: z, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 2*v - 1. Let z(y) = y**2 + y - 4. Let x be z(2). Let i(m) = 1. Let j(h) = x*i(h) + g(h). Calculate j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -65*a**3 + 8*a**2 + 9*a + 2. Give u(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 504*l - 6665 + 6665 - l**3 + 91*l**2.\nAnswer: -l**3 + 91*l**2 + 504*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 12 = -7*w. Suppose 1 = -w*x + 217. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the second derivative of 0 + 35*x + 25\/12*x**4 + 3\/5*x**5 + 0*x**2 + x**3 - 7\/30*x**6. Find m, given that i(m) = 0.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 457 + -432 - (0 - -40) - -96?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-12)\/z)\/z)**(2\/7)*z**(-13)*z\/((z*z\/(z\/(z\/z**(14\/5))))\/z) assuming z is positive.\nAnswer: z**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 67 + -57. Let t be (-82)\/v + 24\/(-30). What is the units digit of -84*((-2)\/(-7) + t\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 455 by -6.\nAnswer: -455\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -4. Suppose -6*o + d*o = 3*b + 3, 5*o = -4*b - 7. Suppose -22 = -0*m - b*m. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 25 + -70. Let k be 2\/(-3)*y\/10. Suppose -k*l - l = -48. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20369703 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - 5e4?\nAnswer: -5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 - 13*m + 3. Let r be 2\/(-2)*13 - -3. Let i be f(r). Suppose i*b = 38*b - 35. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -48 greater than or equal to -275579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -8 divided by -1794?\nAnswer: 4\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1688 - 1688 - 34*n**2 - 31*n**2 + 136*n**2 - 28*n**2 - 41*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the third derivative of g**6\/120 - 2*g**5\/15 - 3*g**4\/8 + 5*g**3\/3 + 3*g**2. What is the units digit of a(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.6922 - -634888.\nAnswer: 634886.3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2106)*-1)\/(sqrt(24)\/sqrt(3) + sqrt(2)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 - -8 - (-5 - (-4 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**3 - 3*f**2 - 3*f + 1. Let c be x(4). Suppose -679 = -3*k - 5*h, 0 = c*h + 20. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 8, 0.03, 1417?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -39029\/56 - -697. Let s = d - 183\/280. Let q = 0.08 + 0.02. What is the smallest value in -4, q, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 12) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/168*6)\/((75\/(-6))\/(-5)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 37321061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/5))**(-1\/20) assuming o is positive.\nAnswer: o**(1\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v**(3\/7)*v*v))\/v**(3\/7))**(-36)*((v*v\/v**(-5\/8))\/(v\/((v*v**(-5\/4))\/v*v)))**3 assuming v is positive.\nAnswer: v**(3975\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of 19*a**7\/105 + 2*a**4\/3 - 20*a**2 + 18. Let g(q) be the second derivative of h(q). Find the second derivative of g(z) wrt z.\nAnswer: 456*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8397032 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:28 PM and 1:58 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -16 + 114?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24.9 - 4.9. Does i = 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence im when two letters picked without replacement from {m: 1, a: 1, x: 1, t: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/5))**(1\/6)*(x*x**(3\/8)\/x*x*x)**(-14) assuming x is positive.\nAnswer: x**(-1993\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -2*o - 1. Let l be u(-2). Let z be (4\/6)\/((-3)\/(-27)). Let q be (9\/z - l)*-16. Solve -h = 6*t - 4*t + 11, 3*t + q = -3*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5*(94\/282)\/((-2)\/18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11246*h**2 - 11233*h**2 + 21*h**5 + 22644*h**2 - 3*h**4 wrt h.\nAnswer: 1260*h**2 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 385*u**2 - 71*u + 13. What is the tens digit of a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3564811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -35*m - 8. Let k(o) = 453*o + 108. Let d(q) = 2*k(q) + 27*v(q). Let w(g) = 18*g**2. What is d(w(s))?\nAnswer: -702*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 4*l**2 + l. Calculate n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - -6. Let b be ((-5)\/2)\/(6\/(-36)). Suppose q + 8*i - 3*i - 6 = 0, 5*i = -b. Calculate the remainder when q is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -984*t + 1028*t = 176 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6 and 32694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 2*y**2. Let f(u) = -30 + 3*u**2 + 30. Give i(f(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 - 36.2493446.\nAnswer: -36.6493446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14561552 - 25961552. What is k rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1167 - 741. Let u be 217 - 2\/7*7. Let b = f - u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 878.9766 minutes to milliseconds.\nAnswer: 52738596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2 and 150956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -5*d + 6. Suppose -d = -4*t - 13. Let x be ((-12)\/(-15))\/(t\/65). What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 46780160 to the nearest 10000.\nAnswer: 46780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g**4 - 738630*g**3 + 27278713840*g**2 + 738630*g - 27278713845 = 0. Calculate g.\nAnswer: -1, 1, 73863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1 - -1)\/(-2) - 40) + 2. Suppose 10 = -q - 31. Let y = q - r. Let t(c) = c**2 + 4*c + 4. Give t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - -2)*2*(-153 - -159). Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 44024334 (base 7) to base 3\nAnswer: 21002120222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 674*a + 3679 + 1848 = 199*a - 2548 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -a242c (base 14) in base 3?\nAnswer: -201211121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 29 by 211.\nAnswer: 29\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -10.5986 plus -5?\nAnswer: -15.5986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of 0*s + 2*s**3 + 3\/2*s**2 + 6. Find the second derivative of x(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 + 333 = 6*k. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u*u**(-6))**(1\/16)*(u*u*u**3*u*u)**40 assuming u is positive.\nAnswer: u**(1119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -145, 0, 3, -5 in ascending order.\nAnswer: -145, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3041925 and 18000?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 28\/(-357)*(-4)\/(8\/(-3))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1665129 times -0.5?\nAnswer: 0.08325645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25600 + -25602.38. Which is the nearest to -2? (a) 0.4 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -2*y**2 - 11*y - 15. What is o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 512.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 27 = -d + 5*h, -2*d + 124847 = -5*h + 124876 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (22 - 1)\/(2\/8). Suppose 0 = 6*c - 12 - 114. What is the greatest common factor of y and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 38.6 + -38. Let u = m - 1.1. Which is the nearest to -0.1? (a) u (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 672*87*69\/42021?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve x + n - 4*n - 12 = 0, 2*x + 201*n - 29 = 98*n + 104*n for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -28*w + 163. Let k be g(6). Put 25, k, 0, -4 in ascending order.\nAnswer: k, -4, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4632.868g in tonnes?\nAnswer: 0.004632868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.05 - 1.95. Which is smaller: r or 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, s: 8}. What is prob of sequence ss?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 111100001100011 (base 2) in base 16?\nAnswer: 7863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 8:48 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 199416 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 507 is divided by 242.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -1 - 15*p**2 - 3 + 4. Let y = -10 + 15. Let n(m) = 0*m**2 - 8*m**2 + y*m**2. What is n(c(k))?\nAnswer: -675*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-74)\/(-148)*1*93336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 95998312 and 1.\nAnswer: 95998312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 66\/(-90) - (20\/(-15) + 2)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.058044 + -6.156644. Round b to two dps.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2772\/(-23562))\/((-6)\/(-17))*12*13.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*p + 10*p - 46*p.\nAnswer: -65*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*a, -451 = -6*s + s - 4*a. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 249727965 to the nearest integer?\nAnswer: 15803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 199 + -507. Let l = 316 + k. Which is greater: 0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1665)\/9768*4\/10. Let b = 88 + -970\/11. Let w = b + s. What is the second biggest value in 1\/5, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-47)\/(8930\/7714)*(-42)\/(-147).\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -139754*c**3 + 3*c**2 + 33*c + 1303.\nAnswer: -838524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 + (-1)\/(-2))*0. Suppose z = f - 2*h + 11, 2 = -3*f - h - 3. Let q(x) be the first derivative of x**2\/2 - 3*x - 5. Determine q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - -0.9. Let m = v + 0.2. Let x = m - 5.1. Put x, 3, -4\/5 in ascending order.\nAnswer: x, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22 + 22 - 2*a**2)*(-134*a + 68*a + 72*a - 2*a**2 - 8).\nAnswer: 4*a**4 - 12*a**3 + 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**3 + 189*l**2 - 2557*l - 796. What is f(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -212, -3, 7 in ascending order.\nAnswer: -212, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v + 4. Let w be -1*(1 - -2 - -4). Let t(r) = r**2 + 4*r - 9. Let l be t(w). Suppose -4*z + 0*z + l = 0. What is o(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/1)\/(37\/(-592))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -21469*l - 916083 - 145262 = 9121*l - 1905*l for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 50, 14, -84, -274, -586, -1050, -1696, -2554?\n\"Answer: -5*a**3 - a**2 + 2*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/3 - 529267*i\/3 - 352846.\nAnswer: (i - 529269)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (5 - 4) + -5 - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 3\/118, 32, -3\/2, 3.\nAnswer: -3\/2, 3\/118, 0.3, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 5*x - 323 = -2*x, -5*r + x = -390. What is the greatest common divisor of r and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zocc. What is prob of sequence cz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 33850944, 33850934, 33850926, 33850920, 33850916, 33850914, 33850914?\nAnswer: 33850916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is p in 4576\/7 + 876\/7*p + 8\/7*p**2 = 0?\nAnswer: -104, -11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -262 - -261. Let i be v\/(1 - 8) - 0\/(-123). Let b = -1.99 - 0.01. What is the biggest value in i, b, 5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the first derivative of -x**5\/60 + x**4\/8 + 32*x**3\/3 + 28. Let w(c) be the third derivative of p(c). Does 3 divide w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-1\/4)*d)**(-30)*d**(-3\/11)*d*((d**(-5)*d)\/d)\/d*(d**1*d)**(4\/3)\/(d\/(d**(-2\/9)\/d))**(-1\/15) assuming d is positive.\nAnswer: d**(-41555\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 268 divided by -5.\nAnswer: -268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c - 5*q - 20 = -0*q, 0 = 5*c - 5*q - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -m + 41 - 37 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 117 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 110 by -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q**4 - 2163*q**3 - 19302*q**2 - 55608*q - 51264 = 0.\nAnswer: -712, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 515? (a) 1\/6 (b) 0 (c) -0.18 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*o + 4 - 2*o + 6*o.\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 2 = -2*x + 15, 25 = -5*z. Let q = -1 + x. Solve q*p = p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87*i + 71*i = -96. Solve -i*x - 3*o - 1 = -5*x, 2*x + 4*o = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -14, -0.311, 342?\nAnswer: -0.311","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*l + 194*l - 1560 = -159*l + 11425 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3768 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -4*d - 23. Let f be u(-5). Let y be 0 - (3 + f) - 20. Let m be ((-384)\/y)\/(12\/(-78750)). What is m rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1896*f**4 - 3*f - 2784 wrt f.\nAnswer: -7584*f**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11811?\nAnswer: 3, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (58*f - 31*f - 78*f)*(4 - 5*f - 4).\nAnswer: 255*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-17)\/34*(-12)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/177 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.4 - 0.2. Let u = 0.06 + -0.56. Let z = 0 - u. What is the third biggest value in i, z, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 99813 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 2*b - 1, -4*t = 3 + 1. Let g(w) = -3*w**3 - w**2 - w + 1. Let c be g(b). Is 5\/(-20) - 485\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -1) + -4 - (-5 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 7, i: 7}. What is prob of sequence ppp?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.373 times 0.1\nAnswer: 0.0373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1820\/(-273)*6\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 91 - 69. Calculate the lowest common multiple of b and (66\/9)\/((-1)\/(-3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 + 16 - 10 + 2*h + 3*h**3 - 8*h**4 + 25*h**3 - 3*h**3 to u*h**2 + w*h + d*h**3 + i*h**4 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the third derivative of -q**4\/8 + q**2. Let z(x) be the third derivative of -5*x**4\/12 + 233*x**2. Calculate z(o(c)).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ckcbcczcqlccbkc. Give prob of sequence kq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -148226458 - 1.\nAnswer: -148226459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -56*a**3*b**2 + 2028*a**3 + 2*b wrt b?\nAnswer: -112*a**3*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ryy. What is prob of sequence yr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -110, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 22573193241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - -1. Let p = -6 + j. Let s = 787.5 + -787. What is the closest to p in s, 2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.15 - -0.07. Let k = 1.52 - y. Let p = -6.3 + k. Which is the closest to -0.1? (a) -1 (b) p (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3 + (4 - 1)\/1. Solve -k*y + 4*y = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -44.57075 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1929737218 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 242 + -155. Calculate the remainder when y is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -w - 2*m - 10, 0 = 2*w + 3*m - 15. Suppose 3*q - 2*q + 1 = w. Let l be (-3)\/(-2) - q\/(-2). Which is the nearest to l? (a) 5 (b) 2\/17 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 16*l**2 + 7*l - 1048. Let k(x) = -14*x**2 - 6*x + 1048. Calculate 6*a(s) + 7*k(s).\nAnswer: -2*s**2 + 1048","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 2*l = -1267, 0 = -2*j - 4*l + 8*l + 866. Suppose -5*s - j = -2*w, 3*s - 5*s - 215 = -w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(104) + sqrt(104))*6 + sqrt(104))\/((-1*sqrt(72))\/sqrt(9)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1165480?\nAnswer: 2, 5, 29137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -84\/22015739?\nAnswer: -84\/22015739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -12*u - 1531. Let v be b(-130). Solve -4*q = j - 5, 0 = -q + v*j - 31*j - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, u: 1, m: 1, s: 1, g: 2}. What is prob of picking 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -150 - -78. Let k be 4\/(-6) - 480\/d. Let m = 4 + -1. Solve -m*b - 3 = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 3, y: 9, t: 7}. Give prob of picking 1 t, 1 a, and 1 y.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 4, z: 10, v: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*t + 4*t + 2*t)*(-2*t**2 + 0*t**2 - t**2).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5.6 + 6. Let q = r - 1.4. Let g = -1598.9 - -1599. What is the nearest to g in 2, q, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/3 (c) -0.95 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of 133 and -0.3824.\nAnswer: -50.8592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {a: 1, i: 1, f: 1, m: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 140285, 140299, 140313, 140327?\n\"Answer: 14*r + 140271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -358 - 6 - 185 - 396 = -45*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 312 divided by -8\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -2*1*sqrt(2448) + sqrt(85)\/sqrt(45) + (1 + sqrt(17))*-6 + 3)**2.\nAnswer: 1246*sqrt(17)\/3 + 135098\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/21 (b) 1063 (c) -3 (d) 54 (e) 0.3 (f) -1\/3 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkg when three letters picked without replacement from {d: 10, k: 4, g: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 + 17 = -7*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l - 13*l - 7*l + 45732.\nAnswer: -17*l + 45732","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 49699285 - 250.167?\nAnswer: 49699034.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -945, -1837, -2729, -3621, -4513?\nAnswer: -5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -2.11024353 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/(5\/2*16\/(-100)). Let h = -38 + n. Factor 5*m**3 - 3*m**h - 6*m - 3*m**3 + m**3.\nAnswer: 3*m*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 38 = 18. Solve 0 = 2*x - 4*w + v, -3*x = 4*w - 3*w + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -50.9 + -0.1. Let v = 51.002600458 + -0.002533458. Let j = v + c. Round j to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/5 + (-33)\/(-15) + -2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**2 - 92*j + 3201. Calculate c(25).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express m - 2*m - m**2 - 26*m**2 - 31*m**2 in the form b*m**2 + u + t*m and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/764922 and -79\/1019896.\nAnswer: 3059688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(24)*-2)\/sqrt(8) - -4*3*sqrt(3))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 2*n + 11*i - 0*i, -2*n + 3*i - 3 = 0. Let t(m) = m**3 + 3*m**2 - 7*m - 6. Let l be t(-4). Solve l*f + 0*f - 30 = n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 14*v + 5)*(-54*v**2 - 68*v**2 + 80*v**2) as c*v + l*v**3 + k*v**2 + i and give l.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 + -10. Suppose -4*j + 2*q = -14, -3*q + 2*q = j + z. Let h be (-2)\/j*(-6)\/54. Which is the third biggest value? (a) 5 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4, -10, -22, -40, -64, -94?\n\"Answer: -3*m**2 + 3*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -15c56ad (base 15) in base 4?\nAnswer: -330110230030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of 0 - 7\/20*r**5 + 8*r + 0*r**3 + 0*r**2 - 5\/6*r**4. Find the third derivative of w(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -944128 - 48.\nAnswer: -944176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 11. Let a = r + -2. Let x(p) = -4*p**a + 3*p**3 - 2*p**3 + 2*p**2. Let s(b) = 10*b**3 - 7*b**2. Determine 2*s(m) + 7*x(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 166 and 2062052?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31657201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1282?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.82 - -2.82. Which is the second biggest value? (a) -1\/5 (b) 2\/17 (c) -0.1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -537214\/49 = -10963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {m: 1, e: 1, v: 1, a: 6}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -99.57 - -66?\nAnswer: -33.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 19699 = -3*z + 6141, -4*z = -5*k + 32269. List the prime factors of k.\nAnswer: 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*d - d - d + (314*d + 341*d - 880*d)*(0 - 2 + 3))*(-8*d - 4*d + 13*d) as r*d**2 + g + q*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1383725.\nAnswer: 5, 7, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 34 + -22. Suppose -28*p - 12 + 96 = 0. Which is the biggest value? (a) l (b) p (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.08 in -1, 35.73, -5, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -3*t. Let f be g(-5). Let y be (-52)\/(-5) + (-6)\/f. Solve -m - y = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -147706, -589909, -1326900, -2358673, -3685222, -5306541, -7222624, -9433465?\nAnswer: -11939058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-1*(-204)\/(-60))\/((-10)\/25)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-5)\/(k\/((k**(-3)*k)\/k))*k\/k**(-8)*k**(-3\/4)\/k assuming k is positive.\nAnswer: k**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -29 times -68034\nAnswer: 1972986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -5 and -9553?\nAnswer: 9548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4\/7, 22.609, -8, -2, 0?\nAnswer: 22.609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8569688 is divided by 551.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -342*w + 5113. Give q(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -3*x - 21. Let q be h(-9). What is the tens digit of 472\/q + 2\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 102 + 109 = 0. Suppose -3*p = 3*p - 2748. Let a = p + n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 83010 divided by 13835.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 21835184969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -59992170 by 11998434.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -17, -4, 4, -1 in ascending order.\nAnswer: -17, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 PM and 1:46 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 179*h + 763. Let d(v) = 46*v - 1. Calculate -4*d(g) + j(g).\nAnswer: -5*g + 767","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4140496070 less than 5?\nAnswer: -4140496065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k + 1. Let n(t) = 10*t + 4. Give 6*b(v) - n(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*h + 10*h = -148*h - 6*h. Solve h = -4*r - 8, 3*c = -4*r + 20 - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2397?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -d (base 16) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 105 divide 84457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be 18\/(-6) + 0 + 108. Let j = n - 100. Solve j = t, -3*w + t = -w - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -700 = 22*n - 24*n. Let h(q) = -352*q + 702*q + 7*q**2 - n*q. Let z(t) = 0*t + 0*t - 2*t. What is z(h(y))?\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/4)\/(9\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -254 - 252523?\nAnswer: -253110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Solve -1855*f - 619 = -619 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*j**2 - 1898645*j + 1898640.\nAnswer: 5*(j - 379728)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15*l**5 + 21*l**4 + 2*l**2 + 55367*l wrt l.\nAnswer: 300*l**3 + 252*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 5*m**2 - 12*m - 27. Let j be u(5). Suppose -23*k - j = -42*k. What is the lowest common multiple of 70 and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -23*k**2 - 4*k - 2. Let n(d) = 2369*d**2 + 414*d + 207. Let c(v) = -2*n(v) - 207*o(v). Calculate c(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -15 + 25. Let x be 2\/(-36)*-16 - (-4)\/(-12). Let y = -17\/9 + x. Sort u, 1\/3, y in descending order.\nAnswer: u, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5655\/4524*(-16)\/(-55).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 - 17*r**2 - r + 17. Let h be l(17). Suppose -5*f + 36440 = 5*g, 2*g - 3*f - 14596 = -h*g. Suppose -9*j + 13*j = g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87062797 to the power of 1\/2, to the nearest integer?\nAnswer: 9331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -q**3\/5 + 128*q**2\/5 + 131*q\/5 - 258\/5 = 0.\nAnswer: -2, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 90641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -3 (b) -0.4 (c) 0 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -5 + 65. Let f = r + 11. Let c be -3 + 6 - (f - -6). Does 2 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(168)\/sqrt(3))\/sqrt(8))**2 + sqrt(7) + sqrt(56)\/(sqrt(8)*1).\nAnswer: 2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -47*d**2 + 805*d + 852 = 0. Calculate d.\nAnswer: -1, 852\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4897*x**2 - 2449*x**2 + 66*x**3 - 2469*x**2.\nAnswer: 66*x**3 - 21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wez when three letters picked without replacement from ezwbsuus?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -1\/3273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 4*u = -12, 2*i + 3*u - 17 = 0. Let y = i - 8. What is the second derivative of -3*d - d**5 + 2*d + 5*d**y wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.4273 - -0.488. What is p rounded to 3 decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(14)\/(sqrt(28)*-4 + sqrt(7)) - -6*(-3 + sqrt(50)).\nAnswer: -18 + 209*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 + 4*x + 2. Let b be z(4). Suppose -2*f - f + 42 = -b*n, 0 = 4*n. Let j be (12\/f)\/(4\/(-2)). What is the second biggest value in -2\/9, 0.1, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5491129 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -1033?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 83, 115, 147, 179?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83 = -5*n + 2*q - 161, -68 = 4*n + 4*q. Let i(h) = h**3 + 16*h**2 + 5*h + 6. Give i(n).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**1)**46*((w\/(w\/(w**(-3)*w))*w)\/w)\/w*w**4)\/(((w\/w**(-1))\/w*w*w)**(-2\/5)*(w\/w**(-1))**(-2\/43)) assuming w is positive.\nAnswer: w**(10383\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 43.8 - 49. Let n = 0.2 + y. Let m = n + 5.7. Round m to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 292.5 - 293. Let x = -2 - -3. Let j = 21.1 - 26.1. What is the nearest to x in j, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 12410 - 3?\nAnswer: 12404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68*d**3 + 62*d**2 + 178*d**2 + 21*d**2 + 72*d**3 - 139*d**3.\nAnswer: d**3 + 261*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4786\/152*(-64)\/28272. Let m = u + 1\/722. Let q = 3\/31 - m. Sort 0, -0.5, q in descending order.\nAnswer: q, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 - 8 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**2\/11 - 15672*o\/11 - 1118016\/11.\nAnswer: -2*(o + 72)*(o + 7764)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 4*w - 2. Let m be g(3). Solve -z = z - m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1*1\/(-3))\/(-1*2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10.8 - -7.6. Let a = w + -4.7. Let j = 14.83 - a. Round j to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-194800)\/(16\/(-120) - 0). What is d rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -97 - -3051. Suppose -176 = -10*k + s. What are the prime factors of k?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.6929 + 5.773276.\nAnswer: 6.466176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2420) + (sqrt(2420) - -3*sqrt(2420)) + sqrt(2420))\/(-2*sqrt(4)*6).\nAnswer: -11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4792, 4797, 4802, 4801, 4788, 4757, 4702, 4617?\n\"Answer: -m**3 + 6*m**2 - 6*m + 4793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -47 + 119. Let w = -37 + u. What is the greatest common factor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -27983727*c**3 - 9*c**2 - 899675080 wrt c?\nAnswer: -83951181*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -7*b + x + 259798, -4*x + 8 = 0. What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/4683 and -32\/3417921.\nAnswer: 23925447","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*f + 10*f - 13*f + 7*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times 0.88?\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13*i - 18*i + 5*i + 7*i**4 + 10*i**2 wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2499\/(-441))\/(3\/(-9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 31310.37169 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -10*y + 3*p + 37, 4*y - 8 = -3*p. Which is the closest to -2\/3? (a) y (b) -2 (c) 6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*i - 447906 + 8434064. Is i\/30 + (-6)\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.142 + -1.522. Let h = 6.38 + p. What is the second smallest value in h, -8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -574 + 722 + 449 + 667 = -79*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 - (2568\/(-510) - -7). Let g = 829\/595 + p. Determine y, given that -6\/7*y + g*y**2 - 2\/7*y**3 - 18\/7 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 16.5 or -16\/7?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, s: 3, x: 10, v: 1, n: 1}. What is prob of sequence mm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*h**2 + 57*h**2 + 52*h**2 - 224*h**2 + 59*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 85080 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**3 + 188794*t**2 - 9434892*t + 18114624 = 0. Calculate t.\nAnswer: 2, 48, 94347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is (-2 - (-64)\/28)\/((-84)\/(-6817566)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - 1100110100011?\nAnswer: -1100110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -1744536.2 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -6522 (base 7) to base 10.\nAnswer: -2319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) 2\/7 (c) -1.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 135*c - 42*c - 56*c - 740 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -ad (base 15) in base 9?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45 - 40. Suppose 4*x = -0*c - c + 8, g*x - 3*c = 27. Solve x*k - 4*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 93*d**2 + 332*d - 2133. Give x(-89).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 0 - (6 + -9 + 2 + -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -501681 != -1003361\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.014, -4, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -43 + 45. Solve -w*f + 5 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 206108204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/152 (b) 2\/15 (c) 0.2 (d) 0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + -5 + -2*(sqrt(700) - (1 + sqrt(700))) + -3*(sqrt(700) + 1*sqrt(700) + sqrt(700)) + 0 + -1*sqrt(700)*2)*-2)**2 + 0.\nAnswer: 3520*sqrt(7) + 338864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -7*y**3 - 4*y**2 + y + 4. Let t(s) = 21*s**3 + 11*s**2 - 2*s - 11. Let m(o) = -11*r(o) - 4*t(o). Find the second derivative of m(u) wrt u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -307*j + 301. List the prime factors of l(-11).\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.889326 litres to millilitres.\nAnswer: 5889.326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -18. Suppose -5*i + c = a, 3*a + 0*i = 5*i + 95. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 2 = 5*c. Let b be (-1 + c)*(-4)\/6. Let x(j) = -5*j - 6722. Let k(w) = -w - 517. Let i(d) = 26*k(d) - 2*x(d). Determine i(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235174.9ml in litres?\nAnswer: 235.1749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w**2 - 2*w**2 + 0*w**2)*(3*w - 3*w - w + (0*w - 2*w + 4*w)*(-4 + 2 - 2)).\nAnswer: 45*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 42.8515 years?\nAnswer: 4.28515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 327459952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -222410, -222353, -222270, -222167, -222050, -221925, -221798, -221675?\n\"Answer: -m**3 + 19*m**2 + 7*m - 222435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.02, 3, -117808\/9?\nAnswer: -117808\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16.2 + 5.2. What is the smallest value in s, 1\/3, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 AM and 2:03 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*b - n + 78 = 9*b, 3*b = -2*n + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 2*y**2 - y - 2. Let x be n(2). Suppose -x*d + 65 = -3. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -4 - 2*r + 1 + 0*r + 2. Let b be j(-3). Let p be -1 + 2 + (3 - 1). Solve 0 = 5*q - p*s - 30, 3*q - 7 + 23 = -b*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56 + -59 - (1 + -2 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72227 is divided by 304.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((88\/(-5))\/22)\/(0 - (-4)\/10). Let o(t) = 2*t**2 - 2*t - 2. Let i be o(2). Let j(n) = -4*n**i - n**3 + n + 0*n**3 + 0*n. Determine j(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2 + 349*f + 10192. Let j be o(-27). Solve -4*w = 5*x - j, 0 = 3*w + 7*x - 11*x + 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 31*w = 32*w - 2686, -a + 1325 = 5*w. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**3 - 3*z**2 + 4*z + 13. Determine q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 81, 357, 821, 1467, 2289, 3281?\n\"Answer: -b**3 + 100*b**2 - 17*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1006696693 to the power of 1\/2, to the nearest integer?\nAnswer: 31728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 735 is divided by 500?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 8.43, 54.27, 4\/9, 0.4 in ascending order.\nAnswer: -5, 0.4, 4\/9, 8.43, 54.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 119843556*x**4 + 62271253?\nAnswer: 479374224*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - 0. Let u = 27 + -53\/2. Is u at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 9 (b) 4\/3 (c) -0.3 (d) -116 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1 + 3 + (-276)\/132\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 590916447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 169*y + 4. Let t be c(0). What is the closest to -2\/3 in 1\/5, 0.11, -5, t?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -123\/80 and -37\/122460.\nAnswer: 489840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = q. Suppose 3*j = -q*j - 12. Let k(o) = o**2 + o + 1. Is k(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 + 8. Suppose -5*z - 3*h = -9, -5*z - 3*h - f = -4*h. Solve z = 2*c - 2, 5*s - 3*c + 13 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 5*p - 2. Suppose 2*d = 2*s - 6, d - 3*d - 1 = -3*s. Let t be p\/(-4) - 62\/d. Solve 2*m + 0*m + t = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4011571*r**4 - 2800*r + 5134.\nAnswer: 48138852*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 41, 1, -2, 12, 315 in ascending order.\nAnswer: -2, 1, 12, 41, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -43 divided by -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 4*f - 36 = 0, m - 5*m - 5*f = -47. List the prime factors of 4\/m + (-249)\/(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + (6 - -34) + -47?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4525 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1024 - 16403\/16. Calculate the common denominator of ((-39)\/(-8))\/3*-3 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (44\/(-57))\/(84780\/(-134235))?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 2890*d. Let l(u) = -2*u. What is g(l(s))?\nAnswer: -5780*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - 4 - 12. Suppose 4*z - 8 = 2*z. Let p(c) = -c**2 + 6*c - 3. Let m be p(z). Solve 5*k - o = -4*o + 4, y*o = -m*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 4*q**2 + 2*q + 2. Let i be g(-2). Let c be 2\/(-3) + i\/3. Solve j + c*j = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/6 + (-238)\/(-4). Suppose -5*f - b = -0*f. Let a be (-40)\/f - 6\/(-9). Is a greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 62*w**4 + w**3 - 21*w**4 + 20 - 16*w**4 - 23*w**4 as r + l*w**2 + i*w + d*w**4 + x*w**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the first derivative of -y**4\/22 + 20*y**3\/3 - 213*y**2\/11 - 648*y\/11 + 7173. Let c(g) = 0. What is g?\nAnswer: -1, 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 22 - 22. Let f be 44 - -1*o\/(-2). Suppose -4*b + 140 = -f. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -11330027, -22660053, -33990079, -45320105, -56650131?\n\"Answer: -11330026*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8830 is divided by 8081?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 513 and 49267?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 775*u - 1816*u = -856*u + 4544 - 289 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/4 and 7\/1050960?\nAnswer: 1050960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -441 + 56 = -5*l. Let y = -75 + l. Let w(o) = 2*o + 2. Let z be w(7). Solve j = -y*t - 15, 2*t + 4*j + z = -14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1617 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/45 - (-2)\/(-9). Let h = -94.6 - -95. Which is the third biggest value? (a) i (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 101212201 - -1200110?\nAnswer: 110120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, -5, 43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.01 + -0.05. Let h = t - -4.04. Which is the second biggest value? (a) 1\/9 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4 + 19704.\nAnswer: 19704.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 12:27 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 659766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/575 and 36\/5.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -45 + -8072?\nAnswer: -80b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2228*s + 169*s**3 + 2229*s + 1 - 1 - 2 + 8*s**3 to the form j*s**3 + m*s + b*s**2 + c and give j.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, s: 1, p: 1, g: 3, m: 2, d: 2}. What is prob of picking 1 m, 1 s, and 1 g?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5 and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0004607 to 5 decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6059179 millilitres in litres?\nAnswer: 0.0006059179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3\/7, -4, 5, -5.2.\nAnswer: -5.2, -4, -1, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 7 = o + 4*s, 0 = -2*o + 3*s + 14. Suppose 20 = 4*b + 3*t + o, -3*t = 9. Suppose b*u - 4*u = 1059. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -a*s**2*w - 3*a*s*w - 11*a + 7*s**2*w - 2*w + 5 wrt s.\nAnswer: -2*a*s*w - 3*a*w + 14*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130 = 4*t + 34. Let n(f) = -2*f - 7. Let b be n(17). Is b != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/11460 and 17\/9.\nAnswer: 34380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4350340 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 4, c: 2, m: 2}. Give prob of picking 1 c and 1 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + 6 + 1 + -2. What are the prime factors of f\/(-15)*4*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 j, and 1 o when three letters picked without replacement from {t: 3, j: 1, o: 1, c: 6, s: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 12*g**3 + 8*g**2 + 2*g - 13. Let k(y) = -y**3 - y**2 + 2. Determine -a(w) - 5*k(w).\nAnswer: -7*w**3 - 3*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/2 or -2999?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -19*k**3 - 192*k**2 - 13*k + 7. Give z(-10).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2697088 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -4*b + 1. Suppose 5*c - 4*c - 1 = 0. What is f(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let -28\/9*i + i**4 + 4\/9 + 61\/9*i**2 - 14\/3*i**3 = 0. What is i?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 - 3*s - 7. Let f(l) = 2*l + 1. Let w(a) = 4*f(a) + h(a). Suppose 5*o + 2*g = -18, 6*o - 2*o - 5*g + 21 = 0. Calculate w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the third derivative of 215*x**7\/21 - 41*x**4\/24 + x**3\/6 + 6644*x**2. What is the second derivative of b(p) wrt p?\nAnswer: 25800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1757 is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yymy when four letters picked without replacement from mmmmmmymmmmymmmmmy?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*z - 2 - 5*z + 0*z to y + u*z and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 8565*g**3 + 13*g**2 + 8578*g**3 - 17158*g**3 to the form i*g + d + f*g**3 + y*g**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -573233, -1146466, -1719699, -2292932?\nAnswer: -2866165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 4 = -b, -5 = b + 2*b - 5*w. Let c(v) = -v + 2. Does 2 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 - 13*s**2 + 15*s - 34. Let i be h(12). Solve -4*x - 17 = -t, -5*t = -i*x + 2 + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4112 (base 15) in base 7?\nAnswer: -55031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 57\/7 (b) -1230.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 87, 170, 253?\n\"Answer: 83*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(931) + 1) + sqrt(931) + sqrt(931) - (sqrt(931) + sqrt(931)*-1*-1)**2) + (sqrt(931)*-2*3 - (sqrt(931)*-2 + sqrt(931) + 2)).\nAnswer: -3721 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*1*((sqrt(98)*2*-1)**2 - sqrt(98) - -3*(sqrt(98) + -1 + sqrt(98)) - -4*2*(sqrt(98) - ((1 + sqrt(98))*5)**2)).\nAnswer: 5418*sqrt(2) + 38822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 7\/(-3) + 5\/15. Let t(g) = g**3 - g. Let v be t(l). Let i = v + 8. Solve -y - 8 = i*m, 0 = -0*y - 2*y + m + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**3\/2 + 1235*p**2\/2 + 22595*p\/2 - 23835\/2.\nAnswer: 5*(p - 1)*(p + 21)*(p + 227)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15.7 + 11. Let a = 4.2 + f. What is the closest to 1 in a, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14.38391 millennia in years?\nAnswer: 14383.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-12))\/((-3)\/9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 3*z + 23. Let u be o(-7). Suppose 0 = i + 5*r - 1125, -u*i = 3*i - 3*r - 5485. What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 480 + -433. Let w = 71 + -28. Let t = w - s. Sort t, -6, -1\/4 in increasing order.\nAnswer: -6, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 - 4*p + 3. Let m be h(7). Suppose m = -5*f + f. Let t be 1*3*(-3)\/f. Which is the third smallest value? (a) t (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert c302b8 (base 13) to base 5.\nAnswer: 2130313223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1727332 (base 8) to base 7.\nAnswer: -4164654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 934 - 2801\/3. Which is the smallest value? (a) -2\/3 (b) 57 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 63 and 33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 437 and 23?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -21*d**3 + 5*d**2 + d. Let o(p) = -11*p**3 + 2*p**2. Give 3*n(w) - 7*o(w).\nAnswer: 14*w**3 + w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 484778 divided by -434\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 1294 = 334. Let z = 765 + -780. What is the least common multiple of 8 and y\/(-150) + 2\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 29065\/288 - 671\/480. Let i = 848\/9 - x. What is the common denominator of 0\/(-2) + (-59)\/(-18) and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1554904 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2370 and 2370.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -324 + 306 = -x. Let w(l) = -l + 2. Suppose -2*t = t + 15. Calculate the remainder when x is divided by w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 less than 831927.786?\nAnswer: 831932.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 151109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -4 + -99159719\nAnswer: -99159723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -124, -225, -326?\n\"Answer: -101*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/(-16) + 406\/16. Let n = u - 13. Factor 0*w**3 + n*w**2 + 0*w**3 - 2 - w + 7*w**3 + 4*w.\nAnswer: (w + 1)**2*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**3\/2 + 4557*c**2\/2 - 82755*c\/2 + 373491\/2.\nAnswer: 3*(c - 9)**2*(c + 1537)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-14521)\/78*(0 - -1). Let q = 194 + y. Calculate the common denominator of q and 23\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*1\/(-6)*(-24)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = 2 - 50. Suppose 6*r - 3*r - z = 0, 4*m - r = 184. Suppose c - 119 = -3*k, -k - c - 4 = -m. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*t - 472 = 14*t. Suppose 82 = 3*r + 7. Suppose r + t = 3*x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22446.\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2066 = -6*a + 6212. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s + 1 - 71. Let z be ((-2119)\/(-20033))\/((-2)\/s). Let o = -64\/67 - z. What is the common denominator of 37\/10 and o?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 6*k = 21. Let f(r) = 14*r**2 - r**3 - 2 + 0*r**3 - k*r - 17*r**2. Calculate f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 15*f**3*i - 22*f**3 - 262*f*k + 2*i**2*k - 11*i**2 + 2*i wrt i?\nAnswer: 15*f**3 + 4*i*k - 22*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4601\/25 + 917\/5. Let k = n - -258\/325. Let f be (-6)\/(-4)*(-3)\/6. Which is the nearest to -0.1? (a) f (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1427847\/40 - -35698. Let t = -4\/6251 + -343741\/100016. Calculate the common denominator of s and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*u**5 + 380*u**4 - 824*u**3 - 4712*u**2 - 5452*u - 1940.\nAnswer: 4*(u - 5)*(u + 1)**3*(u + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -179, -376, -573, -770, -967?\n\"Answer: -197*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*s + 11*s + 13*s + 11*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/109 and -17\/4258?\nAnswer: 464122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -113 + 116. What is the third smallest value in -3, v, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 10 + 2 = 5*g, 2*o = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -3*a**3 + 12*a**2 - 11*a + 2. Let s be 5\/(-25) - 228\/(-15). Let x(y) = -21*y**3 + 84*y**2 - 78*y + 15. Let c(k) = s*h(k) - 2*x(k). Factor c(m).\nAnswer: -3*m*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -13.6 and 2?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 132 a factor of 12355715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 - 13. Let t = k - -20. Find the common denominator of -23\/6 and (-74)\/56 + (-3)\/t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 14*a**2 + 9*a + 20. Let o(z) = -z**2 - 2*z + 2. Let u(x) = j(x) + 2*o(x). List the prime factors of u(-6).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 35 and 9309215.\nAnswer: 65164505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/60*18 - 1\/(-5). Suppose -6*o = -5*z - q*o - 2, 2*z = 2*o - 2. Which is the nearest to -1? (a) 0.07 (b) 3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 + 37 - (-17 - -18)\/(6\/34)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 20270729207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.69 - -0.595. Let k = z + 0.004. Let d = k + 0.099. Round d to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6.4 + 5. Let h = c + -0.6. Let r = h - -7. What is the nearest to -1 in -4, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**2 + 2*a - 5. Let q be t(-5). Let r(n) = 12*n**2 + 9*n - 11. Let f be r(q). Let k = f - 649. Round k to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 70\/(-60)*(-9)\/(-14). What is the third smallest value in -17, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 12 = -0, 0 = 2*u - 4*c - 92. What is the lowest common multiple of u and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3458 and 8918.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 30.7 + -2.7. Let q be 3*(-1)\/6 + -5 + 5. What is the nearest to q in k, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27398435*c**6 + c**4 - 1383*c**2 + 3330*c - 1.\nAnswer: -3287812200*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n - 197 = 4*g - 230, g - 17 = 10*n for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -5*n + 6. Suppose 4*s + n = 5*s. What is the remainder when s is divided by (364\/819)\/((-2)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 - 2. Suppose -d*l + 0*l = 0. Suppose -3*j + 45 = -l*j. Solve -j = -0*y + 3*y - 5*t, 0 = -y + t - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -63*i**2 + 15*i**2 + 3*i**2 to z*i**2 + m*i + d and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 32 - ((7 - -29) + -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -28\/9, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y*y*(y*y**(-2\/9))\/y)\/(y*y**(-14))*(y**(2\/13))**(-3\/16) assuming y is positive.\nAnswer: y**(14741\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m**2 + 25*m - 36. Let g be b(4). Solve 0 = 100*s - g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -5*u**2 + 41*u - 4. Let v be n(8). Find the first derivative of 16907*g**v + 183 - 39 - 17212*g**4 wrt g.\nAnswer: -1220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of g**5 - 55*g**4\/2 + 118*g**3\/3 - 900. Find the third derivative of i(l) wrt l.\nAnswer: 120*l - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 502*c**2 - c. Let m(p) = -39*p**2 + 3*p - 6. Let s(d) = 25*d**2 - 2*d + 4. Let n(b) = -2*m(b) - 3*s(b). Give h(n(f)).\nAnswer: 4518*f**4 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.1 - 0.1. Let u = o - 2. Let p = 75 - 977\/13. Which is the nearest to 1? (a) p (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, -4\/3, -2\/23, -3\/2, -9173?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 22, 1\/8, 4\/13, 18\/23?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 13*c. Let l(w) = w**3 + 14*w**2 + 2. Let q be l(-14). Let b(k) = -2*k**q + 6 - 6. Give u(b(h)).\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30 - (-7 + 5) - -5 - (-49 + 40).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of 0*l**5 + 0*l**4 + 0*l + 0*l**2 - 2\/3*l**6 - 3 - l**3. What is the third derivative of t(y) wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 408 and 74436438.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*h + 4*r + 3 - 18, -3*r + 14 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 411191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 29 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -61, -115, -169, -223, -277?\n\"Answer: -54*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -19026*0.3\nAnswer: -5707.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 185785918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -29*l + 4. Let s be i(-6). Let w = s - 2672\/15. Let o = 0.4 - 5.4. Sort w, 1, o.\nAnswer: o, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + y - 2*y - 32, -4*q - 133 = -y. Let f = 49 + 6. Let i = f + q. Calculate the highest common divisor of 33 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 10 = -4*a, f + 2*f + 15 = -3*a. Suppose 2 + 2 = -4*j. Let b be -60 + (-3 - (j - a)). What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -92\/3 + 30. Let c = -1081 - -1080.8. What is the closest to 1\/2 in c, 2\/23, x?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i - i + 0*i)*(1 - 3 + 4) + 0*i + 2*i - i + 5*i - 5*i + 5*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.31946 and -61?\nAnswer: -19.48706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 take away -71.483354166578?\nAnswer: 71.983354166578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*p = 15 - 47 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/2 - 9\/12. Is s less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 2 - 5. Let a be (-7)\/(-2) - (10 + -8). Let l be -3*(-2)\/9 + -2. What is the nearest to k in l, a, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from woxooowowoth?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/66 - (-15477)\/(-7623)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 120135.1km to meters.\nAnswer: 120135100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 14 = 6. Suppose q*i + 0 - 44 = 0. Suppose 7 + i = 3*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2373, -981, 411, 1803?\n\"Answer: 1392*s - 3765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -679 - -682. Suppose 2805 = l*p + 13*k - 12*k, -p - k + 935 = 0. What is the remainder when p is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p**4 - 77*p**3 - 1678*p**2 + 7604*p - 7896 = 0 for p.\nAnswer: -21, 2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59*u - 393*u**2 - 101*u + 396*u**2.\nAnswer: 3*u**2 - 160*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 63382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.1 - -0.1. Let m = 57 + -353. Let r = m - -292. Which is the second smallest value? (a) t (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (891\/11880)\/(-1*(-36)\/(-30)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(70)*-2 + 1*sqrt(70)*2)\/((-1*sqrt(4000))\/(sqrt(24)\/(sqrt(6) - (sqrt(6) - sqrt(18)\/sqrt(3))))).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 7:52 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1140 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 r(j) = -269*j + 660. Give r(4).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:51 PM and 8:19 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 + 2)*(-27 + 27 - 3*h) + 6*h - 3*h - h + (-2*h + 1 - 1)*(1 - 1 - 2) + 2 - 2 - 8*h to x*h + i and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(15) + sqrt(135)*-1 + sqrt(135))\/((sqrt(5) + sqrt(180))*-3).\nAnswer: -sqrt(3)\/21 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -4b2849 (base 14) to base 3\nAnswer: -11212010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76670 is divided by 1050.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - 4*d + 10, -2*d + 8 = 4*f - 6*d. Let p be (-6)\/(-15)*(f + 2). Solve v = -x + 2, 0*v + p*v - x = -11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*l = -27417 - 4068. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-25)\/175 + (1 - (-10)\/(-14))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, 5477, -2\/35, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/7)*u)\/(u\/(u\/(u*u**(-1\/13)\/u*u))*u)*(u**(-2\/7))**(-1\/6) assuming u is positive.\nAnswer: u**(-317\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 65820044 to the power of 1\/2, to the nearest integer?\nAnswer: 8113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2*q = 3 - 28, 4*q - 20 = 0. Let a(w) = w**2 - w - 3. Let j be a(-2). Solve 0 = j*o - 11 + v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a = 40 - 103.3. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 159*k**4 + 1526200*k - 2*k**4 + 10 - 1526196*k wrt k?\nAnswer: 628*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1 (c) 0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 8*g**2 - 2*g. Let f be a(2). Suppose -3*m + 5 + 7 = 0, 3*x = m + 116. Suppose -28*u = -x*u + 1008. Calculate the highest common divisor of f and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -7060 rounded to the nearest one hundred?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -3 (b) -0.012 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(2\/7))**13\/((f*f**(1\/18)*f)\/(f**(-1\/4)*f)))**(-5) assuming f is positive.\nAnswer: f**(-3035\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-99)\/18)\/(1\/(-8)). What is the highest common factor of 110 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -5*y + 250, 0*r + 2*r = -5*y + 88. Calculate the remainder when r is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w\/w**(-2\/7)*w*w*w)\/(w\/(w\/w**3))*(w**(2\/3)\/w)**(-7) assuming w is positive.\nAnswer: w**(118\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**1*s*((s*(s*s\/(s*((s\/s**4)\/s*s)\/s*s))\/s)\/s)\/s)**(-26))**13)**(-13) assuming s is positive.\nAnswer: s**17576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -855, -1801, -2745, -3687, -4627, -5565, -6501?\n\"Answer: s**2 - 949*s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (4 - 0) + 3 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 16 - 14. Let o(u) = -u**2 + 16 - 29*u + 2*u**2 + 9*u. Let w be o(19). Sort w, b, 1 in decreasing order.\nAnswer: b, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6346282 and 998.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 75\/(-20)*(-16)\/3. Let f be d\/(-12)*-1*3. Suppose -f = -3*v + 40. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {q: 9, y: 6, w: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 107 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 287*d - 2299. Let l be i(8). Let z(b) be the third derivative of -b**4\/24 - b**3\/6 + b**2. Let s(p) = p. Calculate l*s(c) - 2*z(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1338 * -6.1\nAnswer: 8161.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1106550 divided by 50\nAnswer: 22131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 302 + -280 + (-14 - (1 - 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1743 is divided by 412?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-16)\/(-6)*(-36)\/(-48). Suppose -5*u - 3*o + 24 = 0, -z*u + o + o = 0. Let t = u - 0. Solve -a = -0*a + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-72)\/16)\/9 - (-350)\/196. Factor -15\/7*z - 6\/7 + f*z**2.\nAnswer: 3*(z - 2)*(3*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(78)*6*6)\/(sqrt(216) + sqrt(216)*4 + sqrt(6)))**2.\nAnswer: 288*sqrt(13)\/31 + 32224\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -24*s - 127*s**3 - 173*s**3 + 342*s**3 wrt s.\nAnswer: 252*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 - 27*h**2 + 28*h + 13. Let u be m(-28). Solve -u*s + 10 = -8*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 595 = 220. Is (2 - 16\/6)*w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {o: 2, n: 1, l: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 1679*m. Let x(z) = -2*z**2. Give x(d(l)).\nAnswer: -5638082*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -90 + 150. Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**2 + 2*j - 4. Let y(o) be the second derivative of 6*o - 1\/2*o**3 + 5\/2*o**2 + 3. Calculate -4*n(a) - 3*y(a).\nAnswer: -4*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2\/101 + 93\/404. Let s be ((-2)\/4)\/(4 + -5). Which is the closest to w? (a) -5 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in 5*s**3 - 7290*s**2 + 1788480*s - 121305600 = 0?\nAnswer: 144, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.3 or 780?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((988\/(-171))\/(-52))\/((-5)\/6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/6)\/(o\/o**(-2\/7)))\/(o**5\/(o\/(o*o**(-1\/4)))) assuming o is positive.\nAnswer: o**(-493\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*n - n = 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11479066.\nAnswer: 2, 83, 69151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the first derivative of -r**4\/12 + 11*r - 5. Let b(w) be the first derivative of x(w). Let l(c) = 2*c**2 + 3*c**2 + 2*c**2. Calculate b(l(j)).\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 17.3 - 86.3. Let l = -34 - i. Let b = l + -34.9964. Round b to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j = 2*l - 4*j - 32, -2*j - 14 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 4*v + 5*c - 4*c, -18 = 3*v + 3*c. Let p = v - -4. Suppose 4*x - 28 = 2*u - 6*u, u - 5*x = -23. Solve -p*y = -y + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 453866.\nAnswer: 2, 7, 17, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 180*j + 4. Let p(i) = 538*i + 11. Calculate 8*c(z) - 3*p(z).\nAnswer: -174*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {s: 4, d: 7, q: 3, z: 2, l: 2}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 17117981913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 + 7*h. Give y(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 0*s + 22*s**3 + 62*s**3 - 162 - s - 38*s**3 wrt s?\nAnswer: 138*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (-21)\/(378\/12) - 254\/(-3) and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 + (2 - -1) - 4\/4. Suppose f*s + 41 = 5*h + 796, 0 = 3*s - 5*h - 570. What are the prime factors of s?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -240 in 4, 1\/9, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -326*d + 3772 = 4424 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p**2 - p - 3. Let h(l) = -4*l**2 - l - 7. Let t(w) = 2*h(w) - 5*n(w). Let s be t(-2). Suppose -9 + 3 = -s*u. Solve 0 = u*f + 6 + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 104*h**2 + 153*h + 1026. Does 20 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-three tenths of a millennium in months?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 3*x - 13 = 0. Let b = x + -8. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 15 = -l + 5*n, 2*n + 6 = l. Find the common denominator of 63\/8 and 1 + (l - 372\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + 2 + 0 + (-18 - -9) + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17687, 17923, 18315, 18863, 19567, 20427, 21443?\nAnswer: 22615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/((-44)\/(-11)*4\/(-24)). Let q(i) = -i - 8. Determine q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 17969804 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 3*k - 132 = k, 67*k + 45*k - 116 = 54*k for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 2.3, -5, 0.4, -8, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 637 and 1914822?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 12090 or 12092?\nAnswer: 12092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -21271\/20? (a) -4\/7 (b) 2\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 9 = 2*j, k - 7*j + 10*j + 19 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 + -1309490?\nAnswer: -1309491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -83*j**2 - 23436*j + 46869. What is y(2)?\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -151943*j + 151943*j + 4*j**2 - 4*j**2 + 4*j**3 - 14*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 5*r**2 + r**3 - r**2 + 4*r - 3 - 7*r**2. List the prime factors of g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - 11*f - 36. Sort 5, 2, f, -1.\nAnswer: f, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i**2 - 538310*i + 14488882805 = 0 for i.\nAnswer: 53831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-99)\/(-42))\/((-90)\/35). Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4047387061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 - 14602128017?\nAnswer: -14602128017.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*j - 133 + 47 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j - j - j + (0 + 0 - 3)*(-13*j - j - 13*j))*(2*j - 4 + j - 5*j).\nAnswer: -166*j**2 - 332*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 1612.24l to millilitres.\nAnswer: 1612240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 275234 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is h in 14\/3*h**4 + 0 + 10\/3*h**5 - 4\/3*h - 2*h**3 - 14\/3*h**2 = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1211506 minus 0.47?\nAnswer: 1211505.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the third derivative of -z**4\/24 + 5*z**3\/6 + 3*z**2. Let k be b(6). What are the prime factors of (2\/k + 3)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 447682*o**4 - 57265*o**2 wrt o.\nAnswer: 10744368*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d = 2*l - 4, -2*l - 37*d + 34*d = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**9\/y)\/(y\/y**(-1\/8))*y**2\/y**(-4\/15) assuming y is positive.\nAnswer: y**(1217\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 215235*v**2 + 416*v + 79.\nAnswer: 430470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 - 1. Let q(m) = 2*m**2 - m - 4. Does 3 divide q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3001457, 3001459, 3001461?\nAnswer: 3001463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*m - 16135 = -104601 - 201054. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 3*l. Let n(h) = 3*h**2 + 181503*h - 5*h**2 - 181501*h - 3*h**2 + 659 + 3*h**2. Determine n(f(c)).\nAnswer: -18*c**2 + 6*c + 659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-5643)\/(-36) + 1\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 25*f - 1281. Let q be v(51). Sort -3, 31, q in decreasing order.\nAnswer: 31, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1903.\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.14444 to three dps.\nAnswer: 0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -206 - -346. What is the remainder when c is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 203160*m**2. Let l(v) = -9*v**2. What is x(l(f))?\nAnswer: 16455960*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -474689 or -1\/180?\nAnswer: -474689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + 1)\/((-4)\/2). Suppose o = -5*k - r + 1071, k + 0*k - 227 = 3*r. Round k to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10767990173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20853 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wmiwjimqttwwwim. Give prob of picking 1 i and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74 + 72 - (-2 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*m**2 - 1 - 15*m**2 + 1 - m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is b in 2*b**3\/9 + 7210*b**2\/9 + 28808*b\/9 = 0?\nAnswer: -3601, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1387575? (a) -0.03 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 24667 and 76903.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0\/((-8 + 2)\/(-6)). Suppose h = 280*k - 278*k - 8. What is the highest common divisor of 148 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 42 - -961. Let b = q - 1003.00000743. Round b to 7 decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 349\/274455 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 56403717 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (268\/10 + 0)*(-7 + 12). Suppose -180 = 5*k - 2*p - 822, -p + w = k. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 - 2*n. Let i be v(-2). Let p be (i + -2)*(-2)\/10. Which is the second biggest value? (a) p (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1078\/(-1))\/(-11)*(-7)\/((-112)\/(-8))*1?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the third derivative of g**6\/600 - 7*g**5\/300 + g**4\/8 - 3*g**3\/10 - 16*g**2. Factor o(k).\nAnswer: (k - 3)**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3362 at most as big as -3006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from phtwhhwth. What is prob of sequence wht?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 458 a factor of 328671792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 790894976 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -6c0a1 (base 16) to base 11\nAnswer: -28252a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 15*c**2. Let x(u) = -9674*u**2. Determine x(t(a)).\nAnswer: -2176650*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 89362 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4064.2 less than 3499.5?\nAnswer: -564.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -9 + (-12 - (-15 + (15 - (1 - 26))))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 71? (a) -1 (b) 0.1 (c) -16 (d) -5 (e) 1.7 (f) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 5322332 (base 7) to base 15\nAnswer: cad9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 56013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**2 - 3*m + 89. Let r be w(0). Let p = 89 - r. Solve -2*f + 2*i - 12 = p, 4*f - i = -5*i + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -597095 - 4?\nAnswer: -597099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1043\/4 + -264. Let f(z) = -11494*z**2 + z - 1. Let j be f(1). Let i = j - -183833\/16. Calculate the common denominator of d and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 69\/(-12) + (2499\/(-68))\/49 - -6. Let y = -12 + 7. Which is the nearest to q? (a) 1 (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7260.012639 - 7260. Round u to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 54*r + 321 + 973 - 376 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -71, -922, -3517, -8816, -17779, -31366?\n\"Answer: -160*z**3 + 88*z**2 + 5*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 15 = 0, -3*q + 31 = 3*s + 2*q. Suppose h - 14 = -s*r, -4*h = h - r - 26. Calculate the remainder when 35 is divided by (8\/h)\/(1\/9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 222800 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {y: 1, d: 6, l: 4, h: 1, s: 1, z: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(315\/14)*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 3*r - 21315, 0 = 2*w - w - 5*r - 7099. Let i be w\/180*4\/(-2). Let c = i + 274\/3. Calculate the common denominator of c and 1\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66)\/(sqrt(6) + sqrt(54)) + sqrt(11) + 2*sqrt(1331) + 5*(3 + sqrt(176)))*1)**2.\nAnswer: 2595*sqrt(11)\/2 + 332819\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 5.115 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14*(-18)\/(-63) - 18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -18, -2\/11, -5 in decreasing order.\nAnswer: 3, -2\/11, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 9, d: 3}. Give prob of sequence eed.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 714 is divided by 119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from makksg. What is prob of picking 1 m, 1 k, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-1 - 4) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -18 divided by -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3156 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 188254.\nAnswer: 2, 11, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-56)\/1040)\/(7\/(-210)*3))\/(-1*1)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 17*h + 5. Let l(u) = -8*u - 2. Let q(i) = 4*d(i) + 9*l(i). Let a be q(1). What is the nearest to 1 in a, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.5 + -3.6. What is the closest to t in -3\/4, 4\/7, -54?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 58 - 32. Suppose 5*u - c = 24. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7.9 - -0.1. Let s = r - 10. Put s, -4, 3 in decreasing order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8877*v**5 + 2*v**4*w**3 + 29270*v*w**3 - w**2 - 2 wrt v.\nAnswer: 177540*v**3 + 24*v**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 121 - 74. Suppose 2 = -3*h + v. Solve -2*d - h = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/3 - 3\/(36\/308). Let t = 39 + f. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least 1\/3493652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (10\/4)\/((-1)\/2). Let q(o) = -25 + 13 + 13 + o. Let t be q(f). Let c(s) = -s + 2. Calculate c(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 - 15*r**2 + 20*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 3850*j - 60. Let c(h) = 4*h**2. Give s(c(v)).\nAnswer: 15400*v**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -3*r + 4. Let y(v) be the first derivative of -3*v**2 - 5 - 5*v - 2*v**2 + 7*v**2. Let p(w) = 4*y(w) + 5*z(w). Let t(u) = u**2. Determine t(p(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4083.08 + -4085. Which is the third smallest value? (a) -5\/4 (b) 3 (c) -5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from {l: 1, o: 1, z: 2, d: 4, k: 8}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 + o**2 + o - 3. What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50770274?\nAnswer: 2, 25385137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 64 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(88)\/(sqrt(24)\/(-2*sqrt(3))) - sqrt(44)\/(-6*sqrt(64)).\nAnswer: -47*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -443*x + 34?\nAnswer: -443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 98 and 10955763.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v**(-1)\/v))**(-1\/7)\/((v\/v**(-1))\/v*(v**6*v)\/v*v)*((v**4)**(-1\/40))**14 assuming v is positive.\nAnswer: v**(-344\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14 - -19. Suppose 3 = 2*f - 1. Calculate the remainder when 0\/4 + (9 - q) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of n**4\/4 + 10*n**3\/3 + 7*n**2\/2 + 2*n - 3. What is the units digit of j(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, -0.4, -0.3, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the second derivative of t**6\/720 - 7*t**5\/120 + t**4\/12 + 4*t. Let r(m) be the third derivative of n(m). List the prime factors of r(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-2\/13)\/w*w*w**(1\/6)*(w**(-2\/7))**(4\/9) assuming w is positive.\nAnswer: w**(-187\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 11*k**2 + 4*k - 3. Let b(o) be the second derivative of o**4\/2 + o**3\/3 - o**2 - o. Let t(l) = -7*b(l) + 4*n(l). Is 4 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -51750 divided by -345\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -25080.622 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000946 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2194500 divided by -5225.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -177509, -177513, -177517, -177521, -177525?\n\"Answer: -4*c - 177505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 3*u - 29 - 11, -4*u + 52 = -4*d. Let c = u - -10. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 408 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dx when two letters picked without replacement from {q: 5, x: 1, b: 2, d: 1, e: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 170*t**2. Let n(a) = 235 - 191 + 19*a**2 - 44. Give y(n(x)).\nAnswer: 61370*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 2:48 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -4\/3 (b) 4 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 4, q: 5, r: 1, l: 8}. Give prob of sequence rq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of -b**5\/120 + 19*b**4\/24 + 730*b**2. Factor k(s).\nAnswer: -s*(s - 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -9 + 3003\/52 + (-2)\/(-8). Do z and 49 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 5*s + 28 = 7, 5*d - 35 = 5*s. Let n = 26 - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -18125855 by 116941.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3634 - -53?\nAnswer: 3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -3*i + 12, -3*c = -i - 3 - 5. Suppose 4*g - i - 15 = v, 0 = 2*g + 5*v + 14. Solve -5*m = -0*z + z + 7, -5*m - 1 = g*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3*(-2)\/(-6))\/(3\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50199 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -240 (base 11) to base 6\nAnswer: -1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -171 + -27?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j - 1. Let i be ((-8)\/14)\/(6\/(-21)). Suppose i*l + 30 = -3*l. Let p be b(l). Which is smaller: p or -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((7\/(-63))\/((-2)\/(-12)))\/4. Let f = 3 - 0.5. Let t = f - 2. What is the third biggest value in t, -4, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 4*r**3 + 5*r**2 + 7*r - 43. What are the prime factors of x(8)?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of -4*j**7\/7 - 25*j**4\/12 - j - 25. Let v(d) be the first derivative of g(d). What is the third derivative of v(q) wrt q?\nAnswer: -1440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6904 - -26402. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b = -3*v - 66, -v = -4*b + 30*v + 725 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 94310950 and 190300.\nAnswer: 8650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20498 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -195*o + 164*o + 401 = -2*g, 2*g = -2*o + 28 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 divided by -25.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.21 - -0.04. Let v = -0.15 - p. Let h = -0.9 - v. What is the closest to 2\/7 in 1, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f + 5. Let c(h) = h + 5. Let k(x) = 6*c(x) - 7*j(x). Let b be k(-9). Solve d + 16 = -5*w, 0*w = d + 2*w + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4219db (base 14) to base 5.\nAnswer: 1032422304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1120434*z + 1 = -c + 1120432*z, z = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (51 + 14 + -1 - (8 + 1 - 7)) + -8.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.3 and 600339.\nAnswer: -180101.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 107579123 to the nearest integer?\nAnswer: 10372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 3*y**2 + 3*y - 8*y - 5*y**2 + 4*y**2 as a + r*y + o*y**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3650\/(-292)*12\/(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 r when three letters picked without replacement from bebaeebcearebaar.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 2*f - 13127, 3*v - 19690 = 2*f + 19651. What is the greatest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xnxm when four letters picked without replacement from {x: 6, n: 9, m: 2}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fu when two letters picked without replacement from {u: 1, f: 1, j: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 651.8 + -653. Let l = -2 + -1. Which is the second biggest value? (a) l (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 2, 0.09, -13\/8?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*x - 4*x - 10 = 4*j, -x - 7 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -r, -5*r + 2 + 2 = -3*b. Let y be -1*(-7)\/((-1)\/1). Let v(k) = -17*k + 13. Let n(j) = 6*j - 4. Let m(s) = y*n(s) - 2*v(s). What is m(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 12:53 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56080624 is divided by 28040308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 349*w. Let i(k) be the second derivative of 2 + 1\/3*k**3 - 3*k + 0*k**2. Give j(i(t)).\nAnswer: 698*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 664, -4, -3.\nAnswer: -4, -3, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 454100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 26\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2088 and 534528?\nAnswer: 534528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p**2 - 40*p + 21. Let x = 10689 - 10703. Give j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 121*i*k*t**3 + 26*i*k - 212*i*t**3 + i - 9*t**3 wrt k.\nAnswer: 121*i*t**3 + 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 PM and 10:26 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 3*j + 3*m + 2, 5*j = 2*m + 20. Suppose 3*n + 6 = j*n. Determine v, given that 30*v**2 - 61*v**n + 3 + 32*v**2 - 4*v = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1203\/68740 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-3455)\/20*15\/(165\/(-484))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (28\/(-5))\/(20\/(-50)). Let n = l - 12. Suppose 4*f + n*a + 2*a - 148 = 0, -5*a - 184 = -4*f. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 12*d**2 - 33*d + 12. Is 17 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1950 + -3803\/2. Let f = -2427\/1798 + 155\/58. Find the common denominator of f and o.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 + -3 + 8\/2. Let i be (-2)\/(-4) + 118\/y. Let b(u) = -4*u. Let t be b(-3). What is the highest common divisor of t and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 2, u: 8, h: 5}. Give prob of picking 2 q and 2 u.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**3 - m + 4. Let f be d(0). Let u be (-2)\/(2\/(1 + -3)). Solve u*o + q - 1 = 0, 4*q - f = -3*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 900*-2\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -332090.1 to the nearest one thousand.\nAnswer: -332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pmwlmwppxappa. What is prob of picking 2 a and 2 w?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 3\/5 (b) -1 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -155*o + 155*o - 449*o**2. Let m(x) = -x. What is m(i(u))?\nAnswer: 449*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -2*g**2 + 15*g - 15. Let w be l(6). Let q = -5 - -5. Suppose 35 = a - y - q*y, -w*a + 93 = 3*y. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + 7 + -17 + (0 + 4 - -3) + 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4818 and 229074?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -3*p + 11. What are the prime factors of 1 - (-5 - -2 - p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 40590\/(-441) + (-54)\/(-11907)*9\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/(-3))\/((-4)\/12). What is the nearest to g in -2\/7, 2, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*l = m - 6*l - 22, l + 39 = 2*m. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-8)\/(p\/p**3)*(p**(1\/4))**6)\/(p**(-10\/9)\/p**(-2))**(-23) assuming p is positive.\nAnswer: p**(287\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.39 + 2.37. What is the second biggest value in v, -5, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4832*f + 4756*f - 767040 for f.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**5\/7 + 24888*t**4 + 522660*t**3\/7 + 522664*t**2\/7 + 174222*t\/7 = 0. What is t?\nAnswer: -1, 0, 87111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 67773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2897566809?\nAnswer: 3, 965855603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 33*d - 6597 - 7428. Let f = 469 - d. What is the remainder when 92 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52690 divided by 479.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 463 + 55a?\nAnswer: 9bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 680.0841 kilograms to tonnes.\nAnswer: 0.6800841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -19*s - 51. Let y be p(-5). Is (6\/15)\/(y\/55330) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 211148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -61.07667012 plus -116957?\nAnswer: -117018.07667012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (330 + -327)\/(6 + (265\/(-159) - 44\/10))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -138883*g**2 - 5*g - 8. Let w(v) = -277767*v**2 - 9*v - 15. Let s(b) = -11*a(b) + 6*w(b). Let y be s(3). What is y rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3628030 rounded to the nearest 10000?\nAnswer: 3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 5, h: 2, c: 4, o: 4, m: 1, l: 4}. What is prob of picking 1 k, 1 m, and 2 c?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/8)\/(5\/(-70))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 + 10. Let b(m) = 87*m + 60*m - 143*m + 2 + m**2. Let l be b(0). Solve q*a + 10 = 3*c, 6*a = l*a + 4*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19469\/2 + -9559. Is 176 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 620 divided by -4.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 618*h - 4217*h - 357841 + 120307 = 0 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4783240 + 4783239.87599965. Let m = v + 0.124. Round m to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 23 + 22?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10 + 10. Let h = -3 + 6. Let k = p + h. Which is the second smallest value? (a) k (b) 0 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.055 - -1.055. Which is the second biggest value? (a) 1\/5 (b) 2 (c) g (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 18*k**3 - 2. Let r(d) = 5281*d**3 + 4567*d - 4. Let n(z) = 2*a(z) - r(z). Find the second derivative of n(t) wrt t.\nAnswer: -31470*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 2:57 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (7*n**2 + 16*n**2 - 8*n**2)*(-1 + 4*n**2 + 1) in the form d*n**4 + g*n + y*n**3 + s + c*n**2 and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 230 + -28. Differentiate 2*c**3 + 202*c**2 - v*c**2 - 1 with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -784*f**2 + f - 3*f + 800*f**2 - 27 + 132.\nAnswer: 16*f**2 - 2*f + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -d = -1, 5*d = -5*x + 2*d + 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**3 - 10*s**2 - 7*s - 9. What is m(-10)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 93, 172, 251, 330, 409, 488?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4)\/(-5))\/(4\/30). Suppose 0 = z*g - g. Let b = -25.96 - -16.96. Sort -4\/9, g, b in ascending order.\nAnswer: b, -4\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 2, 0.4, 1, 56?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 15, 33, 51?\n\"Answer: 18*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence inln when four letters picked without replacement from {j: 1, i: 5, l: 2, n: 8, f: 3}?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1517\/3507 + 2\/501. Let h(v) = -v**2 - v + 5. Let w be h(0). Let z(d) = -d**3 + 10*d**2 + d - 13. Let a be z(10). Sort p, w, a.\nAnswer: a, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the second derivative of -n**4\/12 - n**3\/2 - n**2 - 6*n. Factor l(a).\nAnswer: -(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fysylssfysbbbb. What is prob of picking 1 b, 1 y, 1 f, and 1 s?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 186934213 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -462*g + 523*g = -4 + 4. Solve g = 18*w + 20 + 88 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = 3*b - 0*b - 5, 8 = -4*d. Suppose 12 = b*z - 23. Calculate the remainder when (-2)\/(-9) + 2862\/243 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 673487.8 rounded to the nearest 1000?\nAnswer: 673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0*(-3)\/6)\/3. Solve m = 2*x + 5, -4*x = 4*m - b*x + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*f*o*u**3 + 476*f*o + 2*f*u**3 - 41466*f*u - 16*o + u**3 wrt o?\nAnswer: 5*f*u**3 + 476*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**3 + 2*s**2 - 8*s - 8.\nAnswer: 2*(s - 2)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-382)\/(-4) + (-10)\/(-20). Suppose -5*h = -0*h + 2*t - 22, -t = -1. Suppose -2*c + 136 = h*m, -3*m - 4*c + n = -c. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i + 2*i - 3*i + (-3*i + 3*i + i)*(-3 - 3 + 5) - 12*i - 202 + 202 + 0*i + 5*i - 3*i + (4*i + i - 2*i)*(1 + 2 - 2) - 1 + 2*i + 1.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 638 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(286)\/(sqrt(99)*-3))\/(sqrt(32)\/sqrt(4) + sqrt(288)\/sqrt(9)).\nAnswer: -sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 7. Let a(d) = -2*d - 23. Let l(v) = a(v) + 4*b(v). Let m(q) = 1 - 2 - 3*q - 2. Let f be m(-3). Let o(w) = -1. Give f*o(c) + l(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -10*j**2 - 8*j**2 + 6 + 17*j**2 as l*j**2 + k*j + t and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = u - 17, 0 = 5*u - 2*u - 3*r - 39. Suppose -5*n - 3*h + 29 = -u, 2*n = -2*h + 20. What is the greatest common factor of n and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 854\/15 and 58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/3, -2, -2\/9, 4401?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2\/7, -1\/2, 38, 26, -459 in decreasing order.\nAnswer: 38, 26, 3, -2\/7, -1\/2, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2824546970?\nAnswer: 2, 5, 7, 23, 1754377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 AM and 8:52 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -5206*a - 41657. Give l(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -705234508 divided by -352617254.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 25 (b) -1 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19 + -22. Let s = -3.5 - -3. Which is the nearest to 0? (a) s (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 4*w = -8, -3*k - 8 = -k - 4*w. Suppose k = 5*l - 4*c + 58, 3*l = -2*l + c - 52. Let v = 13 + l. What is the greatest common factor of v and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -55.1 + 16.5. Let q = 0.6 + v. Let p = q + 28. Which is greater: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - ca?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -4*q - 62. Let m be h(7). Let n = m - -160. What is the remainder when n is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 49.04 and -3?\nAnswer: -147.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10.9*26193.\nAnswer: 285503.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7462 divided by -9.\nAnswer: -7462\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 10 = 2*l + 8, -5*a = 9*l - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*i**2 + 7 - 7 + (i**2 + i**2 - i**2)*(-3 - 3 + 5))*(4*i - i - 4*i) - 4*i**3 - 11*i**3 - i**3 in the form p + f*i**3 + m*i**2 + g*i and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from nccynccncycncnyy.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -441a513 (base 12) to base 9\nAnswer: -26370436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42753190 is divided by 4028?\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 22 = -4*y - 0, 26 = 3*g - 5*y. Which is the biggest value? (a) -1\/9 (b) 4 (c) 1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 + 24 = j. Let b be (-377)\/(-5) + 6\/(-15). Suppose -b = -5*f - 5*t, t - 4*t + 83 = 5*f. What is the remainder when j is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - a + 1. Let w(i) = 5*i**2 + 3*i - 3. Calculate -w(k) - 2*z(k).\nAnswer: -3*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 744*j. Let s(v) = -v - 28. What is f(s(x))?\nAnswer: -744*x - 20832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**3 + f**2 + 2*f - 108. Calculate a(0).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -12*x**2 + 1896*x - 3797. Determine m(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/2*(-12)\/6*4. Suppose -5*q - 2*c - 138 = 0, -6*c + 3*c = 3*q + 81. Let s = q + 32. Solve m*f - 5 = k, 3*f = 2*f - s*k - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.05, 0.3, -693, -5, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {t: 1, q: 7, z: 11}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*v**3\/3 + 950*v**2\/3 - 3932*v\/3 + 3976\/3 = 0. What is v?\nAnswer: -994\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29*l - 29*l - 13*l + 0 - 3*l + 0 + (-1 + 1 - 3*l)*(-1 - 2 + 0) to m + i*l and give i.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**1)**(-3\/7)*x**0\/(x**(-5)\/x*x) assuming x is positive.\nAnswer: x**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + b - 24 = 14, 4*b - 40 = -4*u. Let x = -11 + u. What is the lowest common multiple of x and ((-276)\/(-24) - 7)*(8 + -2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 382161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -4*f + 65. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -1494877*s - 5979493. What is i(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (0*h + 2*h**4 + 0*h)*(-8743 - 14298 - 5371) in the form x*h + t + l*h**4 + n*h**3 + f*h**2 and give l.\nAnswer: -56824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 9022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1124, 1140, 1180, 1256, 1380, 1564, 1820, 2160?\n\"Answer: 2*v**3 + 2*v + 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 + 5 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 + 2. Let g(d) = 3*d + 5. Let t(c) = c**2 - c. Let z(y) = -g(y) - 3*t(y). Suppose -v = 2*q + 18, 2*v + 21 = -0*v - q. What is v*a(x) - 3*z(x)?\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -13.250334472 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of r**4\/24 - 7*r**3\/6 - 8*r**2. Let d be z(10). Solve -4*t + d*k = -k - 8, 0 = -5*t + 4*k + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -163*n**3 - 170*n**3 + 336*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -76\/106925 and 139\/54990?\nAnswer: 1924650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 70 (base 10) to base 6.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -124, -226, -318, -394, -448, -474, -466?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/(-105) + (-13)\/21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/(-15) - 88\/(-30). Let j = x - 3. Let i be 30\/84*12\/15. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -4*a**3 - a**2. Let i be o(1). Let n = 4 + -6. Let d(t) = -4*t**2 + 5*t - 5. Let b(x) = 2*x**2 - 2*x + 2. What is i*b(l) + n*d(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 1)*(1 - 1 + u**2) - 3*u**2 + 3*u**2 - 3*u**2 + (-4 + 8 - 7)*(-2*u - u**2 + 2*u) + u + 3*u**2 - u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 1 = -3. Suppose 2*o - 16 = p, v = -o + 5. List the prime factors of ((-15)\/6)\/(2\/p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 194, 193, 192?\n\"Answer: -f + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5\/6 in -16, -3, 4, 23, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00173758 to 6 dps.\nAnswer: 0.001738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -9153208.7 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 388*k + 95833. Calculate d(-247).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) - (2*sqrt(252))**2 - sqrt(7) - (sqrt(21)\/sqrt(3) + 4 - sqrt(7)).\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-2 - -3) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -254333.0699996 - -254333. Let r = f + 0.07. Round r to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-376)\/(-120) + (1 - 4). Let n(s) = -s**3 + s**2 + 4*s - 3. Let y be n(2). Put y, -4, d, -3 in ascending order.\nAnswer: -4, -3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8776113*p**3 - 9452321*p**2 wrt p.\nAnswer: -52656678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 660 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 637 divided by -3\nAnswer: -637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-144)\/16)\/((9\/(-2))\/(106 + -91))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2938 + 7485. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-8)*(6 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:21 PM and 9:16 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.4653 * -0.4\nAnswer: -0.18612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2348, -2405, -2462, -2519?\n\"Answer: -57*g - 2291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77) - sqrt(77)*-1) + sqrt(77) + sqrt(77)) - sqrt(77))*-5*3)\/(sqrt(66)\/(-1*sqrt(600))) + 1 + 2 + 3)**2.\nAnswer: -10800*sqrt(7) + 5670036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 7*r**2 - 2*r**2 - 5*r**2 + r**2 + 4*r in the form m*r + x + b*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(-226)*48\/9. Let t = b - 499\/2260. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (-15 + (-6 - 2) + -3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = -7*c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - x + 1. Let z(k) = -5*k**3 - k**2 - 6*k + 7. Give 6*d(q) - z(q).\nAnswer: -q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the second derivative of 2*v**4\/3 - v**3\/6 - v**2 + 2*v. Let t be -1 + (4 - (6 - 1)). Let p be n(t). Solve -l = -0*l + b - 2, p = 4*l - 4*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-69*u + 89 - 89)*(-3 - 6 + 51) in the form w + n*u and give n.\nAnswer: -2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -4750 - 106586\nAnswer: -111336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 450 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5\/(-1)*(-24)\/(-10). Let i = j - -23. Suppose i = 3*q - 10. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 123 - 99. What is the greatest common divisor of 56 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8068 or -8110?\nAnswer: -8110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 9c6 (base 13) to base 3.\nAnswer: 2022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 6, x: 4, l: 4}. What is prob of sequence ux?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 6*x**3 + 2*x**2 + 3. Let r(l) = -7*l**3 - 2*l**2 - 4. Suppose -v - 3 = 1. What is v*r(g) - 5*z(g)?\nAnswer: -2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-8) - 3*(-2)\/24. Suppose -4*k - 4*y - 29 + v = 0, 0 = -4*k + y - 28. Let r be 5\/4 + k\/28. Which is the closest to r? (a) 0.2 (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 + 2642*x.\nAnswer: 2642*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*q - 13*q - 12 = -l, -q - 8 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 6, l: 5, s: 2}. What is prob of sequence ll?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j**3*z**2 + 2*j**3*z + 3929596*j**3 - 2*j**2*z**2 + 18499322*j**2*z wrt j.\nAnswer: 6*z**2 + 12*z + 23577576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-1\/3))**(-18)*y**(-7)*y*y*y\/y**(2\/9)*y assuming y is positive.\nAnswer: y**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(3 + sqrt(2736)*-1*-6 + sqrt(2736)*3*1 + -4))**2.\nAnswer: -5400*sqrt(19) + 5540425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - 16375?\nAnswer: -16373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-3))\/(12\/2772). Suppose 4*r - 2*i - f = 0, 0*i + 170 = 5*r + 2*i. Let d = 28 + r. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10032774 minus -186?\nAnswer: 10032960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 692591 plus -1?\nAnswer: 692590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 727 - -8938527.06?\nAnswer: 8939254.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -2 + (5 - (8 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 0*l = 3*t + 12, 5*t = -l - 20. Let v be (-2)\/(-4) + 2\/t. Suppose 3*s - 12 = -3*s. Solve -8 = -v*y - s*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 269071*0.22\nAnswer: 59195.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 - u + 3. Let i be z(0). Let d be 10\/(i*(-2)\/(-24)). Suppose 2*f + 0*f = d. Calculate the remainder when 58 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96179?\nAnswer: 96179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8419 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -2*p**2 + 362*p + 11079. Calculate d(-26).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 72, 119, 162, 201?\n\"Answer: -2*g**2 + 53*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 2*q + 0 + 0. Let k(n) be the second derivative of -2*n + 1\/12*n**4 + 0*n**3 + 0 + 0*n**2. Calculate k(l(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j + 3. Let c be y(0). Solve c*n = 5*l - 0*l + 9, -l + 2*n = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-2))**(3\/11))**(1\/37)*(i*i**(2\/7)*i)**(3\/28)\/(i**(1\/4)\/i)**(4\/21) assuming i is positive.\nAnswer: i**(7439\/19943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cqf when three letters picked without replacement from bbcfccccbqrcbcccccr.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.3 + 0.43. Let d = o - -4.87. What is the nearest to 1 in -4\/7, -1\/8, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 752 divided by 1\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*m**4 + 866*m**3 + 53*m**2 + 28*m + 2?\nAnswer: 48*m + 5196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 722\/5 + -144. Let n(v) be the first derivative of 5 + l*v - 2\/15*v**3 - 1\/20*v**4 + 1\/10*v**2. Determine o so that n(o) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d + 12 - 12 + (-3 - d + 3)*(-2 + 0 + 3))*(244*d + 2101*d + 2797*d - 1345*d).\nAnswer: -22782*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -3*z**3 + 45*z**2 + 33*z - 6. Let c be d(16). Let u = 250 + c. Calculate the remainder when 3 - -1 - (-1)\/1 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1370916 to 3 decimal places.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -27 - 543?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 - -10.00048. What is s rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(2\/11))**(-28)\/(b*b**17*b\/(b\/(b**22\/b))) assuming b is positive.\nAnswer: b**(-793\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1932 + 1937. Put 7239, 1, c in descending order.\nAnswer: 7239, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {g: 3, l: 1, f: 2, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 36215921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (-5 - -4 - (3 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2.2274 from -91917.\nAnswer: -91919.2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*j - j = 2*i - 2, -5*i + 1805 = -14*j + 1767 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 984 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*h**3\/7 + 11266*h**2\/7 + 224720*h\/7 + 1122600\/7 = 0. Calculate h.\nAnswer: -5613, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -j**2 - 175*j - 346 = 0.\nAnswer: -173, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 19261509*v - 76167003 with respect to v.\nAnswer: 19261509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**2 - 16*m**2 - 8*m**2)*(-3*m + 4*m + m) + (2*m - 3*m - m)*(-m**2 + 0*m**2 - m**2) + 4*m**3 - m**2 - 2*m**2 - 3*m**3.\nAnswer: -49*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - 39?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1938 and 309434?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -9*w - 6. Suppose 0 = -w*p + 2*v + 710, 0 = 5*p - v - 649 - 240. List the prime factors of p.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -49, -255, -603, -1087, -1701, -2439, -3295, -4263?\nAnswer: -5337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*a**3)*(1 + 2 - 5)*(5*a**2 - a**2 - 3*a**2).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 0 + 6*c + (6 - 6 + 2*c)*(-4 + 2 + 0) in the form q + m*c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 336 = 6*v. Let i be v\/(-8)*2\/(-3). Which is smaller: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 2 - 6)*(2*c - 2*c - 2*c) + (0 + 2 + 0)*(2*c - 1 + 1) + 13630*c - 37409*c - 7224*c - 40189*c as g + l*c and give l.\nAnswer: -71184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -55*s - 993. What is the remainder when g(-36) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) -20 (c) 5 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4157 divided by -31?\nAnswer: -4157\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 55, 91, 101, 73, -5, -145?\n\"Answer: -2*j**3 - j**2 + 53*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*u + 9984 = -16*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (35 - 4) + 19383\/(-639).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 26*m + 3*m - 12*m. Let t(l) = -l**2. What is t(q(c))?\nAnswer: -289*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, o: 9}. What is prob of picking 3 i?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -71*p**4 + 43*p - 34*p + 74*p**4 + (-2*p**2 + p**3 + 2*p**2)*(9*p + 4*p - 19*p) to the form q*p**4 + o*p**3 + g + h*p + i*p**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 34 = 5*a, 3 + 1 = -4*l. Let b = 8 - a. Suppose 5*v = y + y - 10, -3*y + b = 5*v. Solve v = 3*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (106\/(4452\/693))\/((-1)\/(50\/15))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, -3 in decreasing order.\nAnswer: 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-238)\/(-28) + -8)*12\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1340, 5, -3, 4, 20, -1 in increasing order.\nAnswer: -1340, -4, -3, -1, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6352 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-6))\/((5\/(-5))\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i - 2*i + 0*i)*(6837 - 10090 + 5129).\nAnswer: -7504*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 124001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 11 = q, 0*q - 2*q = 2*n + 6. Let f be 8\/14*2\/n. Which is the third smallest value? (a) -2\/13 (b) 1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 117 = -9*c - 29. Solve -m - 3*v = -c*v + 7, 5*m - 11 = 2*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 33315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3 + 90\/(-36))*0. Let h(j) be the third derivative of y*j**4 + 0*j + 0*j**5 + 0 - 48*j**2 + 43\/6*j**3 - 2\/5*j**6. Differentiate h(r) wrt r.\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7507620 and 111224?\nAnswer: 15015240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express c**2 - 5*c**2 - 6*c**2 + c**2 + 2 in the form k + u*c + y*c**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 31*h. Let q(z) = -2076660*z. Calculate j(q(r)).\nAnswer: -64376460*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2, -3206907, -5.\nAnswer: -3206907, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/16)\/((-33)\/(-99))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -j + 4*l + 2, -15 = 3*l. Suppose 3*b - 35 = -j. Let o(t) be the third derivative of -t**4\/24 + 7*t**3\/6 - 5*t**2. Determine o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -125994, -126029, -126064, -126099, -126134?\nAnswer: -126169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.453 - -5.253. What is the closest to a in -4\/9, -0.2, -28, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 45 + -44.866. Let f = 0.866 + p. Which is the third biggest value? (a) f (b) -1\/13 (c) -0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 5, u: 5, m: 5, a: 2, h: 1, c: 1}. What is prob of sequence jjah?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2726, -10942, -24634, -43802, -68446?\n\"Answer: -2738*m**2 - 2*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:14 PM and 2:52 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1040052\/32214 - (-27)\/(-21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8949*d**3 - 148 + 75 + 72.\nAnswer: 8949*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*q = 17*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 31, -5, 769, 3 in ascending order.\nAnswer: -5, -2, 3, 31, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.75 - 1.25. What is the nearest to -1\/2 in 3, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 107165\/4 - 26937. Let b = y - -145. Which is greater: b or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -20*o**3 + 34*o**2 - 6. Let h(i) = -19*i**3 + 35*i**2 + i - 5. Let d(c) = -6*h(c) + 5*s(c). Let d(m) = 0. Calculate m.\nAnswer: -1\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*x - 8*y + 73 = 3*y - 7*y, 2*x + 46 = -0*x + 4*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 10823*w**2 + 49*w - 117. Is r(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.05 and -0.13347.\nAnswer: -0.18347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Subtract -90007.94 from 144.\nAnswer: 90151.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1008*j + 996*j + 36 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*u - 62*u - 82 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**7*x*x*x*(x\/x**(-4\/7))\/x*x)\/(x\/x**(-2\/25))**(-47) assuming x is positive.\nAnswer: x**(10908\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(200)\/sqrt(64) + (3*-1*sqrt(4))\/sqrt(2).\nAnswer: -7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*i + 43 + 1266 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29403?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 7\/641 (b) -1.7 (c) 3 (d) 0.1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -69*h**2 - 32*h + 32*h + (6*h - 2*h + h)*(-2*h - h - h) to d*h**2 + b*h + l and give d.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 8:18 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 653595.\nAnswer: 3, 5, 43573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7544067?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z - 3168 = -23*z. Suppose -99*m = -z*m. What is the third biggest value in m, -5, 0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -12220*h + 61122. What is n(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*w**2 + 7 - 7 + 45*w - 51*w**2 - 123*w**2 + 219*w**2.\nAnswer: -11*w**2 + 45*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50914 is divided by 645.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -j - 5, 4*b + 0 + 18 = -2*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8508309 to the nearest integer?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1358 - -1354. What is the smallest value in -2\/9, u, 64?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the first derivative of 113 - 48*r - 26*r - r**2 + 28*r - 37*r**3. Find the second derivative of l(p) wrt p.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**3 + 10*r**2 + 20*r + 2. What is u(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(245))\/sqrt(7) + sqrt(2240) + sqrt(2240)*1)\/((sqrt(7) - (sqrt(49)\/(sqrt(7)*-1) + sqrt(7))) + (1*sqrt(343) - sqrt(343))).\nAnswer: 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -3*r**2 - 2*r + 140. Let k(t) = 16*t**2 + 11*t - 699. Give -2*k(c) - 11*z(c).\nAnswer: c**2 - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.8 - 8.4. Let b = d + -1.4. Let t = b - -6.5. Put t, -1\/5, -1 in decreasing order.\nAnswer: t, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59564260.\nAnswer: 2, 5, 7, 17, 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 1)*(-4*v**3 - v**3 + 3*v**3) - 205*v**2 - 4*v**3 + 195*v**2 - 3*v**3 - v.\nAnswer: -9*v**3 - 10*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1\/5)*m*m*m**(-6)*(m**0*m)\/(m**(1\/5)*m))\/(m**8*m*(((m**2*m)\/m)\/m)\/m*(m**(-1)*m)\/m**1) assuming m is positive.\nAnswer: m**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -85 + 90. Let f = 2 - -1. What is the units digit of (n\/f)\/((-1)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 4*v - 15 + 3, 3*y - 10 = -2*v. Suppose -149 = -y*p + 9. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 12\/5*z + 28\/5 - 3*z**2 + 1\/5*z**3 = 0. Calculate z.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q - 7. Let c be x(-14). Solve d - 2 = -c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 12379 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20977.\nAnswer: 11, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 342\/3539?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 319 divided by 11\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 - 8. Suppose s + 9 = i*s. Suppose 4*j = s + 3. Solve j*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67*d - 67*d + 134*d - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 149.3 + -148.3. Is -264 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/4 of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -7 - -2771?\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 PM and 11:49 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2647*i**4 - 4188.\nAnswer: -10588*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, d: 3, t: 5}. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23104 + 103?\nAnswer: -23001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18 and 218769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + -1 + sqrt(396) + 2 - ((sqrt(396) - (sqrt(396) - (-1 + sqrt(396)))) + 0 - (-4 + 0 + sqrt(396)))) + 3)**2.\nAnswer: 72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -1\/6, 0.1, -2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(1\/3)\/(f**(2\/11)\/f)*(f\/(f\/f**(2\/9))*f)\/(f\/(((f**(-2\/9)\/f)\/f*f)\/f)))**(-22))**(9\/2) assuming f is positive.\nAnswer: f**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g**(-5\/3))\/g)\/g**(-5\/4)*(g*g**(2\/55))\/(g\/((g*g**(-8)\/g)\/g)))**16 assuming g is positive.\nAnswer: g**(-24764\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Suppose 11550 = 33*r - 3*r. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 110351 or 110362?\nAnswer: 110351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 4*n - 8*n - 744 = 0, -600 = 4*p + 2*n. Let o be p\/342 + (-98)\/(-18). Solve -3*c - o*k + 4 + 11 = 0, -4*k = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 divided by -200\nAnswer: -11\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -8080 (base 10) in base 15?\nAnswer: -25da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-4)\/l*l)\/(l*l**6))**41*((l\/(l\/(l*l\/((l*l\/l**(-1))\/l*l))*l)*l)\/(l\/((l*l*l**(-2)\/l)\/l*l)))\/(l**(-1)\/l)**11 assuming l is positive.\nAnswer: l**(-391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 537 a factor of 574644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 4*y + y**3 + 2*y**4 + 3*y**2 - 4*y as j*y**4 + l*y**3 + r*y**2 + p*y + f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 68405 and -47?\nAnswer: -3215035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/20 and -7\/6564.\nAnswer: 32820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/10*675\/3240?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 3*n = n + 1247, -3*n = -3*y + 744. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -26*n**3 + n**2 + 10*n - 1. Let m be s(-3). Calculate the highest common factor of 40 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (1*sqrt(468)\/sqrt(4) - (-1 + sqrt(13))**2*3*-2).\nAnswer: -9*sqrt(13) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -8*p**3 + p**2 - 2*p. Let t(j) = 409*j**3 + 3*j**2 - 2*j. Determine r(v) - t(v).\nAnswer: -417*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 3*q + 3 = 9, -5*m = -3*q + 33. Let r be 0\/m - (-20)\/4. Solve 0 = -2*u + r*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 674280 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) - 3*1*sqrt(77))\/(sqrt(88)\/(sqrt(8)*3)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 210667627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 123*l. Let r(p) = -2*p. Determine c(r(t)).\nAnswer: -246*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-231)\/(-22)*(4\/(-24))\/1*8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k + 8, h + 2*h + k = 76. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.2 + -5.2. What is the closest to 0.1 in p, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -141028022\nAnswer: 42308406.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 4*v = 84. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 175 = 2*u - 7*u, 3*p = 0. Suppose -4*w - 3 = n - 53, 2*n - u = -3*w. Calculate the remainder when 50 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1535580 and 25992.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = i - 9, i - 6 = -2*w + 3*i. Let v be -120*2\/(-9)*w. Suppose v = 4*n - 60. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26 and 15097589.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:05 PM and 10:03 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -22 divided by -1795\nAnswer: 22\/1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27\/16 + -2667\/1552. Is 1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*m**3 - 60*m**2 + 252*m - 324.\nAnswer: 4*(m - 9)*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20*l**5 - 2124 + 2124 + 16*l**6 + 2942*l**2 wrt l?\nAnswer: 1920*l**3 + 1200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -27 - -29. Suppose -3*x = x. Solve -g + o*g + 2 = x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2717 is divided by 663?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 28536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**3 + 62*y**2 + 880*y + 73. Determine g(74).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41*h - 833 + 833.\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45494 and 2300.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**2. Let a(q) be the third derivative of 0*q - 1\/12*q**4 - 5*q**2 + 0*q**3 + 0. What is a(i(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 33673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -4. Let j = -3\/298 - -617\/2086. What is the nearest to l in -2, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**3 - h**2 + 1. Let b(d) = -145*d**3 - 10*d - 4. Let f(r) = -b(r) - 4*t(r). Let u be f(-4). What is u rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -16*c - 245. Let o be b(-16). Sort -12, 1, o, -2 in increasing order.\nAnswer: -12, -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 637*k - 128*k - 292*k + (1 + 2 + 0)*(2*k + k + 0*k) - 5*k + 0*k + 3*k to l + y*k and give y.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 2 = -47. Suppose v + 576 = j*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g**2 + 3*g - 1. Let r(v) = 3*v**2 + 5*v - 2. Let q(y) = -5*j(y) + 3*r(y). Let w(m) be the first derivative of q(m). Let x(k) = k. What is x(w(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -6*h**3 - 2*h**2 - 2*h - 4. Let b be x(-2). What is the highest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 4*l + 2*c - 75, 5*l = -4*c + 113. Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(1\/3))**(-5\/3)*(m*m\/(m\/(m*m*m**(-6))))\/m**(3\/2) assuming m is positive.\nAnswer: m**(-91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 - l. Let r be q(5). Let b be 4*2 + (-60)\/r. What is the least common multiple of 69 - (-1)\/(b\/(-5)) and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 30*m**3 - 2*m**2 - 4*m + 3. Suppose 99*k - 189 = 90*k. What is the remainder when g(2) is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -61125*z - 12957 - 22423 = -60545*z for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 219 (base 10) in base 3?\nAnswer: 22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 964 + -965. Let w(l) = -2*l - 2. Let v(u) = -3*u - 3. Let j(p) = -3*v(p) + 4*w(p). Determine j(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22556, -22523, -22490, -22457, -22424, -22391?\nAnswer: -22358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 + 25. Let r = 8.7 - g. Suppose -3*z + 5*z = 0. Which is the closest to z? (a) 0 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the third derivative of o**7\/70 - o**3 - 7*o**2. Differentiate w(g) with respect to g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -2\/104701695 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 101196 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -6 + 3*q + 0 - q. Let t(i) = 4*i - 65. Let a(s) = -16*s**3 - 1. Let r be a(-1). Let n be t(r). Give g(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/6869 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -39932.8*1\nAnswer: -39932.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3829*a + 47848 + 65513 = 25294 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d + 4*d - 3*d)*(-3*d + d + 3*d) + 76 - 1269*d**2 - 46 - 30.\nAnswer: -1268*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -676, -587, -496, -403, -308?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3469 - -3464. What is the third smallest value in -2.5, v, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b*b**(-1\/3)\/b*b*b*b)**(-27)\/(((b\/b**(2\/5))\/b)\/b)**(-2\/113)*(b**(6\/11)*b)\/(b**(-2)*b)*(b*b**(-1\/3))\/b*b**8*b assuming b is positive.\nAnswer: b**(-1637267\/18645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3975 + -2a?\nAnswer: 394a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -199 + 398 - 199 - 502*k - 505*k + 1002*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1129905 divided by -15\nAnswer: 75327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -154, -306, -460, -616?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (4 - (3 + 5)) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3529, 3524, 3517, 3508, 3497, 3484, 3469?\nAnswer: 3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 7*y**2 + 11*y**2 + 2 + y**3 + y - 4*y - 22*y**2 + 11*y**2. Is 8 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13)\/((-2860)\/(-40)) + (-1 - 101\/(-11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o = -20*o - 4*o + 140 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n - 2 - 1 + 4)*(-5*n + 6*n - 4*n).\nAnswer: 3*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 8711, 8714, 8717, 8720, 8723, 8726?\n\"Answer: 3*k + 8708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x**(-3)*x))\/(x**(1\/11)\/x*x))\/(x**(-2\/3)*(x*x*x**(-6))\/x)*x*x**6*x**(2\/29)*x*((x*(x**0\/x)\/x*x)\/x)\/x*x**6*x assuming x is positive.\nAnswer: x**(20714\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, n: 9, a: 3, v: 3}. What is prob of sequence ana?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -18*m**2 - 12*m**2 + 32*m**2 + (1796*m - 786*m - 792*m)*(0 - 2*m + 0) in the form i + s*m + f*m**2 and give f.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 6 - 2*c + 6)*(-6 - 1 + 0)*(-5 - 9 - 2)*(4*c + c - 3*c) as k*c + h + u*c**2 and give u.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -488*v + 498*v - 50. Let z = -1 - -5. Suppose -280 = -z*w + 5*m, -5*w = -0*w + v*m - 395. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/11*(-3048474)\/9724.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -77 - -50.6. Let r = -26 - n. Let z = -0.8 - -0.9. Which is the closest to -1\/2? (a) z (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12895, -51542, -115951, -206122, -322055, -463750, -631207?\nAnswer: -824426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6626886, 6626978, 6627070, 6627162, 6627254, 6627346?\nAnswer: 6627438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 169480 and 1778425.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 3:35 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -1. Let y(x) = 3*x + 5. Let c be y(3). Let s = c + -17. Sort s, l, 0 in decreasing order.\nAnswer: 0, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 6*o**2 - 13*o - 5. Let m(t) = -3*t**2 + 7*t + 3. Let q(j) = 3*a(j) + 5*m(j). List the prime factors of q(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2088531*j**2 + j + 2312465 wrt j?\nAnswer: -4177062*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -5\/22422139?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 4*o**5 + 76*o**4 + 388*o**3 + 180*o**2 - 648*o = 0. What is o?\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 20434125*y = 20434326*y - 12663 for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 85, 81, 67, 37, -15?\n\"Answer: -u**3 + u**2 + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -12*u + 3*u - 10 + 17*u**3 - 16*u**3 - 11*u**2. Let h be b(12). Calculate the common denominator of h*(-2)\/88 - 3 and 107\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -6*i**2 - 12*i + 4. Let l be g(-6). Let h = l - -197. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -846041\nAnswer: -3\/846041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*j - i + 7998 = 70*j, 5*i - 2680 = -j. What is the remainder when j is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*(-24)\/54*(-3)\/(-40)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 333 is divided by 100?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-3)*n*(n**(2\/7)*n)\/n)**(-32)\/(((n\/(n**2*n)*n*n)\/n*n)\/(n**(1\/6)*n))**(3\/13) assuming n is positive.\nAnswer: n**(10033\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*u + 22*u + 4*u**3 + 16*u**3 + 0*u**3.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 216.7542 weeks?\nAnswer: 36414.7056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -3*g + 27. Let o(d) = 2*d - 13. Let w(b) = 3*a(b) + 5*o(b). Let r be w(14). Let f be (-8)\/(-6)*r\/10. Solve f*y + y + 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 152 and 38912.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -866 (base 15) to base 12.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 4*y - 3. Let u be s(2). Solve u*g + 0*g = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2111576, -2111566, -2111556?\nAnswer: -2111546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*152\/(7904\/(-5772))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 879479 is divided by 1396?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (210630\/4720)\/(3\/4)*2\/(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 25 (b) 184 (c) 4 (d) 7\/4 (e) -0.4 (f) -0.3 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 416 and 728.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the first derivative of -8*u**5 + 2*u**4 - 227*u**3 - 856. What is the third derivative of t(f) wrt f?\nAnswer: -960*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**3 + 7*c**2 + 6*c + 20. Is x(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 118, 128, 138, 148, 158?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*z = 291 - 9443. What is the remainder when z is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 169*p - 1272. What is y(8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*v = 2*v + 30. Let f = -1 + v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 34\/330249 and -64\/15.\nAnswer: 1651245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((u**(6\/7)*u)\/u)\/(u\/u**(1\/5)))\/(u\/(u\/(u*u**(-1))))**(-1\/5))**33 assuming u is positive.\nAnswer: u**(66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/(-270) + (-28)\/(-270)*3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 180? (a) -1\/9 (b) -96 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11736, 25438, 39132, 52818, 66496, 80166?\nAnswer: 93828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1484, 1482, 1480, 1478, 1476, 1474?\n\"Answer: -2*k + 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(-2) - (-30)\/4. Suppose z*f = 3*f + 10. Suppose -i + 144 = f*i. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 15, 0.037, -22.74?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -31695, -31881, -32067, -32253?\n\"Answer: -186*f - 31509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 1 + 16 = -3*n, 0 = -3*n - 2*w - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 422183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o = 416 + 334. What is o rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the second derivative of -f**10\/7560 + f**7\/630 - f**4\/6 - 3*f. Let o(d) be the third derivative of u(d). Find the third derivative of o(q) wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*4\/(-18)*((-1710)\/(-40))\/(-57).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/27732124 and 93\/154?\nAnswer: 305053364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 379 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -234, -2, 2013?\nAnswer: 2013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 213 - -301?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 3844 = -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 670 divided by -335?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(2299) + -3 + sqrt(2299) + 0 - sqrt(2299))**2 + 3 + 5.\nAnswer: -66*sqrt(19) + 2314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 75\/2 of a millennium in decades?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -26.47 - -1481\nAnswer: 1454.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 383630 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 270703 and 842?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)*6 + sqrt(9) + sqrt(9) + sqrt(9) + sqrt(54)\/(1*sqrt(6)))\/(sqrt(768)*2 + sqrt(768)).\nAnswer: 7*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**3 - 11*s**2 + 11*s - 15. Let k be l(-12). Let i be k\/((-6)\/4) - -2. Suppose 2*j + 134 = i*q, -5*q - 5*j + 94 + 96 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2042021123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/47 (b) -0.1 (c) 8 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 + 2 + 0 + 2. Suppose -c*o - 10 = 4*q, 2*o - 4 + 8 = 0. Sort -2, q, 2 in descending order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of -1\/2*g**2 + 0*g + 5\/3*g**3 - 59. Factor i(j).\nAnswer: j*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 337636 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.041 + -0.104. Round k to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) + 0 + sqrt(76))*-6 + -1)**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 19 + 69 = 0. Suppose y + o = 6*y. Suppose 15 + 11 = y*i. Calculate the greatest common divisor of 52 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 891992.6 kilograms to milligrams.\nAnswer: 891992600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 7.9 - 1.03.\nAnswer: 6.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 9*t**3 - 3*t**2 + 5*t + 3. Let o(b) = 19*b**3 - 5*b**2 + 11*b + 5. Let p(r) = 3*o(r) - 5*q(r). What is the second derivative of p(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 - -2. Suppose q + q = v. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -130 - -74. Let f = 76 + q. Calculate the smallest common multiple of f and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -3.6 (c) -3\/5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 10221211102 (base 3) to base 16\nAnswer: 13037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 228806477.\nAnswer: 10259, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1652982 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 + 9*l**2 - 9*l + 13. Let k be x(8). Sort 8, k, 0, 4 in decreasing order.\nAnswer: 8, k, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 997072.9 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xnxn when four letters picked without replacement from xnnnnx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4270.2435 times -5?\nAnswer: -21351.2175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -108 + 241. Let o = z - 129. Solve o*r + 5 = 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p**2\/p*p))\/p)\/p*p*p*p**(1\/4)*p**22*p\/(p\/p**17) assuming p is positive.\nAnswer: p**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 AM and 2:32 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -166\/4951 + 2327729\/1351623. Let u = d + -2\/91. Sort -0.03, u, 8, 4 in decreasing order.\nAnswer: 8, 4, u, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (10 - 7)\/((2 - 70\/10) + 26). Find x such that -3\/7*x**2 + 3\/7*x**3 + 1\/7*x + 0 - c*x**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1645)\/(-20) - (-6)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -73505, -146681, -219857?\n\"Answer: -73176*y - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -32, -2, -3, 5, 9 in descending order.\nAnswer: 9, 5, 1, -2, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of -4*g**5\/5 + 2*g + 7. What is the derivative of b(z) wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 + 15 - -11) + -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (13 + -4 - 3) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 16330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2850*f = 416*f - 253136 for f.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 158161650 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 45124972 divided by 11281243?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 19\/8, 2\/3, -610, -55 in increasing order.\nAnswer: -610, -55, 2\/3, 19\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3175 - 1558 + 2*j - 1334.\nAnswer: 2*j + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 100 = -340*j + 344*j - 3*i, -5*i - 7*i - 352 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 349 - 343. Let n(k) be the second derivative of k**3\/6 - 3*k**2 + k. Let m be n(t). Solve -3*p + 9 = -m*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = 2*a + 5, 2*a - 2 = x - 1. Suppose 3*p + 0*s = 5*s + 19, a = -p + 2*s + 8. Sort p, 5, 3.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21\/50 + -2\/25. Let b = -4 - -50\/13. Let u = -4408\/5 - -882. What is the closest to u in b, 2, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 3353*q - 5280. Let r(k) = -10045*k + 15840. Let j(a) = -7*b(a) - 2*r(a). Find the first derivative of j(f) wrt f.\nAnswer: -3381","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a - 4. Let l be o(0). Let f(z) = z**3 + 4*z**2 - 4*z + 4. Is 8 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -21*i + 2 + 10*i - 15*i**2 + 6*i + 4*i in the form w*i + j + s*i**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 - 4d698?\nAnswer: -4d697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 4547123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + sqrt(2736)*1)**2 + sqrt(19) + -2*sqrt(19) + 1 + (sqrt(2736)*1)**2*3.\nAnswer: -sqrt(19) + 11420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 divided by -35.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - p - 3, 262*m + p + 1 = 259*m. Put -9\/7, 0.4, m, 3, -2 in descending order.\nAnswer: 3, 0.4, m, -9\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26590 is divided by 13290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c, 1 r, and 1 a when four letters picked without replacement from {r: 5, c: 4, o: 2, a: 7}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -14*s - 6. Let i(c) = c. Determine i(r(l)).\nAnswer: -14*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.353698 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3002\/9 - -334. Which is the nearest to 2\/3? (a) v (b) 0.4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k**(-17)*k))\/k*k\/k**1*k assuming k is positive.\nAnswer: k**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k - 12*k + 7*k - 10*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the first derivative of -5 - 5*a**2 + 0*a - 8\/3*a**3. Find the second derivative of u(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**2 + 2*m + 2. Let b be (-9)\/3 + 12\/(-3). Let v be x(b). Let q = -22 - v. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -221945\/2071 equal to -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 8*f - 2. Let c be b(7). Suppose c*o = 269 + 91. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + 7*k - 12*k + 7, k + 5 = -o. Which is the nearest to -1\/4? (a) -3 (b) o (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + 0 + (0 - 582). Let l = y + 1127\/2. Let s = -3684 - -36811\/10. Calculate the common denominator of s and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 2\/11, -1\/4, 4.06, 1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = g + 4*g - 4*r, -g - 2*r + 7 = 0. Let t(h) = h + 59. Let i be t(-24). Let u(n) = -3 - i*n**3 + 34*n**3 + 5*n - 5*n - 4*n - g*n**2. Calculate u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5.29 - 0.29. Let s = -5.2 + 0.2. Let w = 212 + -3606\/17. What is the closest to -0.5 in l, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 - 11*h**2 - 26*h - 3. What is the remainder when a(-10) is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 277*p**2 + 170*p - 165. What is n(1)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 163, 1235, 4083, 9577, 18587?\n\"Answer: 145*d**3 + 18*d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7686*h**6 + 6564*h**2 - 1.\nAnswer: -922320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 15759.06 rounded to the nearest 100?\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b + 5*v = 9*b - 158, 737 = 4*b + v. Suppose -b*l - 26 = -196*l. Solve -2*z - l = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 + 4. Let l = -18 - -18. Let j be y(l). Let k(q) = q**3 - 3*q**2 - q - 2. Calculate k(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1267381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 52921.08kg in micrograms?\nAnswer: 52921080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 762502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -3*j**2 + 279*j - 5662. Determine t(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -96106515*r**2 + 43841*r + 649.\nAnswer: -192213030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(330)*2*-1)\/((sqrt(80)*2 - sqrt(80))\/sqrt(8)))\/((sqrt(99)*3)\/sqrt(9) - ((sqrt(88)*-2)\/sqrt(8) - sqrt(11))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (150\/4)\/((-21)\/280). What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5.01 - 0.01. Let q = z + -7. What is the biggest value in q, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 932 - -11b?\nAnswer: a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k**1*k)*k*k*k**(1\/3)*k)\/(k**(-1))**(-7))\/(k*k*k*k*k\/(k*k**(-3\/7))*k**(2\/3)*k*k\/(k\/(k*k\/(k**(-2)\/k)*k))*k**(1\/2)) assuming k is positive.\nAnswer: k**(-725\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(500) + 1 + 2*(sqrt(500) + 0) - (-4*2*sqrt(500) + 4*(sqrt(500) + 0)))**2 + 3.\nAnswer: -140*sqrt(5) + 24504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12 + 4. Let b(f) = -f**3 + 7*f**2 + 8*f + 11. Let v be b(8). Let k = w + v. Solve -15 = -3*i + 4*l, -15 = -6*i + k*i - l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 14, j: 4}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -2*s. Let o be f(-1). Suppose r = -4*m + 18, m + 0*r - o*r = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 48 and 107366.415.\nAnswer: 107414.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 4*l**2 - 3*l. Let o(j) = -j + 6. Let w be o(6). Suppose w = -12*v + 9*v - 6. Let i be (-7 - -6)*(v - 0). Determine z(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1063688?\nAnswer: 2, 132961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 300*m**2 - m - 1. Let x be b(-1). What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -1\/4 (b) -4\/59 (c) 0.06 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5176528600 rounded to the nearest 1000000?\nAnswer: 5177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 39007*b - 28 = 38993*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 5*a - 395, -3*a + 161 = 2*s - 36. Let m = -64 + s. Suppose 4*c = c + m. What is the remainder when c is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 2*d + 11 = 0, b - 5347*d + 5352*d + 16 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w = -4129 + 169. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of 5*a**4\/3 + 7*a**3\/6 + 3*a + 67. Let f(h) = h. Calculate f(p(t)).\nAnswer: 20*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -209 + 211. Let s = -141 - -224. Let o = -79 + s. Which is the nearest to o? (a) 0.4 (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f*f*f*f\/f**(1\/5))\/f*f*f)**(1\/5)*(f\/f**(2\/15))**1)**(1\/18) assuming f is positive.\nAnswer: f**(76\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**4\/9 - 62*w**3\/9 - 2*w**2\/9 + 62*w\/9.\nAnswer: 2*w*(w - 31)*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 3\/524?\nAnswer: 3\/524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8380859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 26324647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -202? (a) -2\/11 (b) 0.031 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 2*j = 0, 0 = 2*m - 5*j + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.085 and 5?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 41 = -3*d, -30 = 3*d + q + 19. Let a be 2\/((-2)\/d*3). Solve a*z + 3 = 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16 and 7084?\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -42 + 42.3. What is the nearest to 0.1 in -3, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bklnmyy. What is prob of sequence nky?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -7 (b) -0.2 (c) -4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 13220, 26471, 39722, 52973, 66224, 79475?\n\"Answer: 13251*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be -4 - 0 - 1075\/20. Let o = 58 + w. Which is the third biggest value? (a) 0.2 (b) 10 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, m: 7, s: 3, u: 1, k: 7}. What is prob of sequence mxk?\nAnswer: 49\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40 + 38 - (-2 - ((-5 - 32) + 7)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 34403241 - 4?\nAnswer: 34403235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58779 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 14872, 3, 9, 7, 2, 1\/12, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -946*h*o*x**2 + 4*h*x**2 - 18*h*x - 3*o*x**2 + 1020*o*x - 2*x**2 - 2*x wrt x.\nAnswer: -1892*h*o + 8*h - 6*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = p + 1. Let w be (108 - 2) + 2 + 0. Let o be w\/(-240) + 2\/10. Which is the nearest to 0.2? (a) o (b) 2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2422 - -361346?\nAnswer: 355624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*j + 2049 - 9174. Let n = j + 477. Solve n*x - 2 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20 - 331314423?\nAnswer: -331314403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -299 or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 - 2*f**2 + 3*f. Let h be b(-3). Find the third derivative of h*l**2 + 33*l**3 - 36*l**3 - 5*l**2 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3.656554 to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m - 3. Determine l(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**2 - z. Suppose 0 = -5*f + 5*p, -3*f = -7*f + 3*p. Let w be c(f). Solve a - 3 = -2*j - w*a, -2*j + 5*a - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 65, 226, 449, 698, 937, 1130?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2079, 4137, 6179, 8211, 10239?\n\"Answer: m**3 - 14*m**2 + 2093*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 10:05 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(384)*-1*6)\/((sqrt(12) - sqrt(48))*-2) + 1.\nAnswer: -12*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -86 + 91. Which is the nearest to 23? (a) 0.2 (b) q (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 259991.2 micrometers in millimeters?\nAnswer: 259.9912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-31)\/2*1*-18. Let y be (-38)\/(-285) - 10\/(1350\/(-10917)). Suppose -y = 5*t + z. Which is smaller: -71 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000408397244 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 120002608 to the nearest integer?\nAnswer: 10955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 3, 13894.\nAnswer: 2, 3, 13894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -218*d = 5*i - 223*d - 10, 10 = 5*i - 3*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the first derivative of 3*r**2 - 3*r + 1. Let g(w) = w**3 - 2*w**2 - 3*w + 2. Calculate the lowest common multiple of g(3) and j(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35.50834 rounded to zero decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 460, 293, 16, -371, -868, -1475?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1559801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, c: 2, q: 1, z: 1, v: 1, a: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x + 2*w = 89, -39418 + 39364 = 2*x - 2*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = d + y, -4*d + y + 11 = d. Suppose 2*w = -d*w + 45. Suppose -a - w = -102. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + 30\/14)*(-21)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/(-8)*1\/5. Let i be 4 - 4 - (-1)\/(21\/(-18)). Put i, t, 0 in decreasing order.\nAnswer: t, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3390661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((6\/91)\/(274\/959))\/(-5*(-9)\/30).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of v**6\/120 + v**5\/15 - v**4\/24 + v**3\/6 + 18*v**2. Let x = -3 + 0. Determine j(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1*133646\nAnswer: 13364.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 935, 1801, 2601, 3335?\nAnswer: 4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 3*v**3 + 2*v + 2 + 2*v**3 + v**2 to the form u + p*v**2 + c*v + o*v**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -465 - 2?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = 3*l + 10. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*k + 198 - 72. Calculate the remainder when 76 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 17912.5 and 2568.711.\nAnswer: 20481.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -19 times 25161?\nAnswer: -478059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g + 4*f + 9, g - 7 = 3*g + 5*f. Is 0 - 0 - (g + -790) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the first derivative of 0*r**2 - r**3 + 5 + 1\/4*r**4 + 6*r. Let o(j) be the first derivative of f(j). What is the second derivative of o(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**3 + 7*q**2 - q - 3. Let z be k(-7). Sort -7, z, -2 in decreasing order.\nAnswer: z, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33600 divided by -33600?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 8*o**3 - 2*o**2 + 359 + 5*o - 359 + (7*o - 3*o - 2*o)*(0*o**2 - o**2 + 2*o**2) in the form l + y*o + c*o**3 + x*o**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1454 + -10. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/25? (a) 4 (b) -2 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 9298290 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -19449, -77821, -175109, -311313, -486433, -700469?\n\"Answer: -19458*s**2 + 2*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/2 + (-1 - -1). Let o = -3 + w. Suppose -3*s + 5*q = -o*q - 8, -5*s = 2*q - 34. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 2 = 222*o + 211*o - 434*o, 4*x - 18 = 3*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 131439 + 5517561. What is d rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1873 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -899*w = -1663 + 822 - 19836 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/2*o**3 - 3*o**2 - 4 + 6*o.\nAnswer: (o - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x - 22*x + 0*x)*(x - x - x**4) - 2*x**5 - 2*x**5 + 2*x**5.\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 2*m**2 + 1)*(-5 + 6 + 0)*(-4 + 2 + 4)*(2 + 2*m - 2) to the form r + v*m**2 + u*m + h*m**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 58 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 814*d - 816*d + 28 = 4*q, -5*d + 3*q = -5. Let j = -1 - -1. Let o = 46 - 30. Solve o + j = d*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 + 29*q - 82. Calculate the remainder when 2747 is divided by i(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-1)*1*-2. Let g = 7452 + -7438. Solve g*w + h = 13*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*c*z**2 - c*z - 734*c + 102*z**2 wrt z.\nAnswer: -6*c*z - c + 204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -516 - -156. Let w = -367 - l. Which is the second smallest value? (a) 4\/7 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -67, -933, -3285, -7867, -15423, -26697, -42433?\nAnswer: -63375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*l**2 - 163859*l**3 - 241461*l**3 - 192622*l**3 + 2*l**2.\nAnswer: -597942*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 11821787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -5*m + 2. Let f(x) be the first derivative of -x**4\/4 + x**3\/6 - 2*x + 1. Let v(a) be the first derivative of f(a). Determine v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -2*y**3 - 3*y**2 - y + 2. Let l be g(3). Let q = 146 + l. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 12\/4 + 0 + -1. Suppose -4*d - 49 = -5*a, -v*d = 3*d - 20. Suppose -j - a = -2*j. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.002 - 5. Round h to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 times 0.101\nAnswer: 0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 31 + -26. What is the closest to -2\/5 in 4\/7, 3, h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 216177309 by 8006567.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 4*i + 12. Calculate l(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 404579 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 7*z = -6. Which is bigger: z or 5\/27?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -749 + 749. Which is the closest to -2? (a) q (b) -3\/7 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 14 (b) -5 (c) -0.1 (d) 0.1 (e) 11.7 (f) -4 (g) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2 - 390*w + 2928.\nAnswer: 3*(w - 122)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1277608 is divided by 1277594?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**3 - j**2 + j. Let f(l) = -9*l**3 + l**2 - l - 3. Let t(x) = -f(x) - 5*u(x). Let i be t(4). Let a = i - 164. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5979325 is divided by 1076.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -640*q = 13455 + 3825 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7\/524 - -283\/1572. Which is the nearest to -0.09? (a) 0 (b) m (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ebjmjfefpje. Give prob of sequence fpef.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 = 3*d - 7*d. Suppose -3*b - d = -5*b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of q**5\/20 + 5*q**4\/8 + 2*q**3 - 41*q**2\/2 - 35*q. Let o(p) be the first derivative of h(p). Let o(y) = 0. Calculate y.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.005 - -0.505. What is the nearest to 1\/3 in 0.1, h, 6\/23?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 - 44\/66*(-6)\/4. Let y = -7 - -19. Solve -l = -4*j - 4, -5*j - 2 = -m*l - y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3808 and 31348.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = 5*s - 83, -189 + 161 = -4*f. Solve 169*w = 158*w - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 269 = 107. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -15, -27, -39, -51, -63, -75?\n\"Answer: -12*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - 19*s - 28. Calculate the remainder when 41 is divided by z(21).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -12 + 10. Let w = 74 - j. Does 33 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 2*i - 30 = 0, 3*k + i + 25 = -0*i. Does 21 divide k\/(-2) + 414\/3 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 42.74 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-28)\/80 + 22\/88\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -40 - -42. Suppose 0*s + p*s - 4*k = 316, k - 1 = 0. Calculate the highest common factor of s and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3389 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 74 and -115.153.\nAnswer: -8521.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-24)\/330*(-5)\/2. Put -9\/4, b, -4 in ascending order.\nAnswer: -4, -9\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -135380 by 405.\nAnswer: -27076\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 985929649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -3*m - 32. Suppose -i - m*i + 98617 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -171112, -170480, -169848?\n\"Answer: 632*j - 171744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12157 + -12035. Solve j - 129 = -2*f - h, -5*h - 30 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 6*g**3 - 101*g**2 - 343*g + 6707. Give j(16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 465 divide 57522360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 2*r + 3. Let c = -15 - -11. Let y be b(c). Let o(x) = -6*x + 4. Is 17 a factor of o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**3 - 5*c**2 + 3*c + 3. Suppose 0 = k - 3 + 1. Let r = k + -7. Give g(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of -2*c**5\/15 - c**4\/24 + c**3\/3 + 2*c**2. Let n be o(-2). What is the remainder when 35 is divided by -4 + 2 + n\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(2\/11)*r**(-2)*r*r*r**(1\/7)*r**4 assuming r is positive.\nAnswer: r**(333\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -117498837533463 take away 4?\nAnswer: -117498837533467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -39*o**4 - 2*o + 99 wrt o?\nAnswer: -468*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ndnndnnlnnnnnnndlln. What is prob of picking 1 d, 1 n, and 2 l?\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 689135357 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from mmmnmfnffmmnfmnf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*u - 24 = 3*u - c + 463, -5*c = 15 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 2*i + 5 = 0. Suppose -i*w + 80 = -w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*d - d - d)*(0*d + d + 0*d) + (7 - 7 - 2*d**2)*(4 - 2 - 1)*(-5 - 3 - 4).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + 1. Suppose m = -o + 5. Is 18 a factor of ((-162)\/(-4))\/(m\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 7*s. Is l(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (86\/(-8))\/(13\/364). Suppose -552 = -5*i + 8*i. Let q = i - y. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2051*z - 498*z - 40506 + 183 = -1498 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**9\/d)**(13\/3) assuming d is positive.\nAnswer: d**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 620586.1ml?\nAnswer: 620.5861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 1 + 3 = 0. Let o be 1\/((-1)\/((-6)\/81) - c). Let b(s) = s + 7. Let x be b(-6). Which is bigger: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 1 = -2*c. Put -1, -0.06, c, -0.2 in descending order.\nAnswer: c, -0.06, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1034 (base 8) to base 11.\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -219\/23, -5, -0.5, -7.\nAnswer: -219\/23, -7, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3581.0001018 + -3581. Round m to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 4*d = 30, 11 + 9 = 2*n + 2*d. Suppose 2*v - 38 = -n. Calculate the greatest common factor of v and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 268, 488, 710, 934, 1160, 1388?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -22326480 by -1240360.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*t - 37*t + 4*h = -26*t + 8, t + h - 5 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 8*o**2 + 2*o - 1. Let k = 4 - 3. Let n be j(k). Let q(m) = m. What are the prime factors of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -8111, -16193, -24275, -32357?\n\"Answer: -8082*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 199647239 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 111.78 + 6.12. Let m = g + -118. What is the smallest value in m, -0.08, 1\/12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 2\/9 (b) 1 (c) -3 (d) 11\/3 (e) 136 (f) -7 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 12588 * -1435\nAnswer: -18063780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 5 - 2 - (26 + -10 + -35) - (9 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8.34 + 0.16. Let a = 2.5 - j. What is the closest to -0.1 in a, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (32\/4 - 4) + -38. Let k be 4\/(-6) - r\/6. Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -2*p - 3. Suppose -32 = -4*g - 4*t, -5*g + 2*t = -0*t - 5. Suppose -24 = -0*v + 3*v. Let s = g + v. Determine a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 101 + -10 + (18 + 14 - 21) + -13?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6, 93.7, -1\/2?\nAnswer: 93.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 + 0)*(3 - 3 + 2)*(2 - 3 - 1)*(26*n - 10*n + 0*n).\nAnswer: -256*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1706 = -3*q + 602. Let h be (-2)\/7 - q\/14. Suppose h + 80 = 2*k. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0226473085 to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6134288 at most as big as 49074315\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -13*r + 2736. Let f(p) = -46*p + 8207. Give -2*f(l) + 7*g(l).\nAnswer: l + 2738","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 3*s + 22. Let k be v(-7). Let z(t) = 3*t + 1. Let h be z(k). Solve 0 = -h*m - 0 - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -17, -7, 17, 61, 131, 233?\n\"Answer: a**3 + a**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 36, -3, -4, 6 in ascending order.\nAnswer: -4, -3, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11.2 - -2.8. Let v = k - 14.3. Let l = 6 + -6.2. What is the closest to l in 5, v, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 + 4*j**2 - 3*j. Let l(z) be the third derivative of z**5\/60 + z**4\/3 - 7*z**3\/6 + 2*z**2. Let w be l(-9). Calculate i(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + m + 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-1*(sqrt(312) + sqrt(312) + (sqrt(312) - (sqrt(312) + sqrt(312) + 3*sqrt(312) - sqrt(312))) + sqrt(312)))\/sqrt(6))\/(sqrt(48)\/(2*sqrt(1728))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 74*g = -163*g - 4692 + 426 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of -79*n**3\/6 - 21*n**2 - 105*n. Differentiate r(b) wrt b.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -h + 8. Let k(x) be the third derivative of x**5\/60 - x**4\/6 - 7*x**3\/3 + 7*x**2. Let b be k(h). What is the greatest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 4*l + 6. Let h be 1156\/476 - 6\/14. Let g(q) = 1. What is h*g(d) - w(d)?\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let b = 0.09 + -0.59. Put 3, b, -3, 2\/5 in ascending order.\nAnswer: -3, b, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -9729543 and 192193?\nAnswer: 9921736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**3 - 4*r**2 + 4. Let h be y(-4). Suppose -h = -4*k + 20. Let w(a) = -5 + 0 + a**2 - 6*a - 3. Give w(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 40557, 162402, 365477, 649782, 1015317?\n\"Answer: 40615*r**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*f - 6 = -64*f. Let b(j) = -j**3 - 2*j**2 + 3*j + 1. Let y(p) = -2*p**3 - 2*p**2 + 2*p + 1. Determine f*y(q) + 2*b(q).\nAnswer: 4*q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzu when three letters picked without replacement from juuzsz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 533.5379ng to kilograms.\nAnswer: 0.0000000005335379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 4499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/6*6\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the third derivative of -w**6\/120 - 3*w**5\/20 + 5*w**4\/24 - 7*w**3\/6 - 29*w**2. Is u(-11) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 2:02 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.0979 (b) 0.2 (c) 1\/2 (d) 3 (e) 3\/259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5\/4, 6, 0.4, 0.2, -1\/24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 4*v**3 - v**2 - 5*v - 2. Let i(p) = 9*p**3 - p**2 - 10*p - 4. Let n(k) = -3*i(k) + 7*r(k). Let b be 2*(-2 + (-27)\/(-6)). Determine n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3543 - -839. Suppose 0 = 5*s - 2*b - 7297, -4*s + s + v = -5*b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -64 + 9. Suppose 4*m = 4*q + 20, 3*q - 6 = -5*m + s. Solve -k = 2*r + 8, r + 1 = -m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**4 + s**3 + s**2 - s - 3. Let d(l) = 247*l**4 + 3*l**3 + 3*l**2 - 3*l + 489. Let c(z) = -d(z) + 3*n(z). Differentiate c(w) with respect to w.\nAnswer: -1000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -4*o - 342 - 3*o + 366. Let s be t(3). Solve -2*g + 5*r - 3 = 0, 0 = -3*g - s*r + 7*r - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -2*s**2 + 7*s + 22. What is f(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 4*t + 28 = -8, -t + 37 = -5*x. Let a = x - -9. Find the first derivative of 1 + 5*m**a - 5*m**2 - 3*m**3 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 - 383082*z.\nAnswer: -383082*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:02 AM and 10:33 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -7*x**5 + x**4 - 6. Let j(g) = -6*g**5 + g**4 - 5. Suppose 4*m = -4*p - 8, 3*m = -p - 8 - 6. Let f(w) = m*j(w) + 5*y(w). Factor f(n).\nAnswer: n**4*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -318.015181 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 8272 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.895 + 0.825. What is the closest to -1 in -3, w, 10\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f = 2*w, 1268 = -w + f + 1267 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 128.9*-0.06\nAnswer: -7.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -14587*l**3 + 424*l**2 + 16*l?\nAnswer: -87522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 22 from -1383012941931.\nAnswer: -1383012941953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -1948*a - 21356. Determine l(-11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 30, 70, 122, 186, 262, 350, 450?\n\"Answer: 6*c**2 + 22*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**3 + 8*j**2 + 6*j + 3. Let o be f(9). Let g = 24 + o. Solve -b = -5 - g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/5? (a) 6 (b) 1297 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -13*q + 22. Let x be j(5). Let v = x - -148. Does 15 divide (-3 + v\/10)*(1 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v**2\/2 + 15*v\/2 + 28 = 0. What is v?\nAnswer: -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -31*l - 8. Suppose 20*i + 0 - 20 = l. Which is the nearest to i? (a) 1 (b) -0.1 (c) 1\/3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-24)\/(-4 - -1) + -3. Suppose -b*d + 5*j - 170 = -780, -d + 110 = 3*j. Suppose 56 + d = 5*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0285228 + 0.0286. Round k to six dps.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8852 - -9449. Calculate the remainder when y is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*j**2 + 7*j**2 + 0*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**2 + 7*w + 8. Let i(x) = -x**2 + 3. Let r be i(3). Let j be o(r). Let y = 2 - 0. Solve -4*g + z - 1 = 0, -y*z = j*g + 3*g - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 36, 0.0772, -0.4, 1\/3, -1\/26, 1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 589311 - -4?\nAnswer: 589315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 9821 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12579644 and 9212?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 68599711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 244162207 divided by 4\nAnswer: 244162207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(3\/7)*q\/q**(-2\/5))**(-1\/30)*((((q\/q**(2\/9)*q)\/q)\/q*q)\/q**(-2\/13))**(-50) assuming q is positive.\nAnswer: q**(-954998\/20475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(231)\/sqrt(275))\/sqrt(7))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 250\/319 + 10234\/1595. Factor k*p + 6\/5*p**2 + 54\/5.\nAnswer: 6*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 - -6.9. Let o = 0.1 + g. Which is the third smallest value? (a) o (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 739*n**2 - 51*n. Let x(r) = -r**2 - 17*r + 1. Calculate -v(a) + 3*x(a).\nAnswer: -742*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (127 - 48*a**2 - 62*a**2 - 2*a + 112*a**2)*(5*a**2 + 0*a**2 + 0*a**2) as w*a**4 + v*a + g + x*a**2 + f*a**3 and give x.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 1 - 1 + z**2 - z)*(6 - 3*z**2 - 6) to the form p + y*z + k*z**2 + d*z**3 + t*z**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-13)*q**(1\/38) assuming q is positive.\nAnswer: q**(-493\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.24 - 1.14. What is the second smallest value in 0.2, -1, g, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 + 3*q**2 - 2*q + 1. Let o = 2 - 1. Let v be k(o). Suppose -5 = -n, -4*p - 4*n - 1 = -17. Sort -3, v, p.\nAnswer: -3, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.4? (a) 2 (b) 1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be -6 + (-1 - (-2 - 0)). Suppose 2*h + 6 = 2*p + p, 3*p = 4*h. Sort p, k, -3 in descending order.\nAnswer: p, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/17 in 9.2, -3\/92, 16.6, 3, -2?\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 132188869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/840 and -113\/520.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -33 - 6cb?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - 9 - ((4 + -3 - 7) + (7 - 19))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5 and 289.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m + 833637 - 833637.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**3 - 2*a**2 - 3*a - 2. Let o be c(-1). Suppose o*b - b + 169 = 4*s, 184 = 4*s + 4*b. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -114*y + 817. What is c(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 3, m: 1, l: 5, j: 3}. Give prob of picking 3 l and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -40 in 2, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 130003103 (base 4) to base 12\nAnswer: 565ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -2*i + 2*i + i. Let b(a) = -2*a. Determine b(q(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 + 6. Let l = 10 - j. Suppose 5*p = -0*r - 3*r + 65, -l*p - 57 = -3*r. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(2 + -1) + 1. Let v(k) = k**3 - 3*k**2 + 3*k + 1. List the prime factors of v(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -4 + 7 - 3 - 13*j**2. Let b(a) be the second derivative of 0*a**3 - 2*a - 1\/4*a**4 + 0*a**2 - 30. Give b(t(l)).\nAnswer: -507*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 14b3b - 1?\nAnswer: 14b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/((u*u\/(u**(-1\/4)*u))\/u))**5\/(u**(-11)\/u**(-1)) assuming u is positive.\nAnswer: u**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6396764101.\nAnswer: 7, 13, 83, 846917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1025967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**3 - 9*j**2 + 4*j - 7. Let u be z(-10). Let f = 84 + u. Suppose 3*l = -5*g + f, -2*g = -5*l + 95 + 154. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12490 or -12494?\nAnswer: -12494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -17 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -47.8699 or 0.1?\nAnswer: -47.8699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 11, h: 2}. What is prob of picking 1 h and 2 p?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and -73677869.\nAnswer: -368389345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 + (20 - (10 - 0) - 0) - 93) + -7.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**3 + 8428*u**2 + 394036*u + 4555748.\nAnswer: -4*(u - 2153)*(u + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 16*z = 17*z + 9, -z = 3. Solve 1\/2*c**2 - k*c + 2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 40363196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -2*o**2 + 52*o - 16. Let h be m(25). Suppose -5*k + 36 = -h. Let n(x) = -x**3 + 13*x**2 + 15*x + 6. Does 5 divide n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 815951589 less than 815951589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 - 9*u + 11. Let h be t(-10). Let c = 5 - 1. Find the common denominator of 105\/c - 2 - h and -45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of -1\/21*f**7 + 0*f**6 + 0 + 1\/5*f**5 - 1\/3*f**3 + 0*f**4 + 0*f**2 - 2*f. Factor s(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2 - ((-15)\/2)\/(-3). Let t(q) = -2*q**3 - 19*q**2 + 15*q - 12. Let y be t(-10). Let n = y - -312\/5. What is the nearest to -1 in -0.2, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 3*t - 83. Let u be l(27). Let z be (-5 - 11\/u)\/(2\/20). Let j = 31 - 7. Solve -z*f - j - 1 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*u**4 - 2*u**2 + u**3 - 4*u**4 - 2*u - u**3 in the form p*u**4 + q + n*u**3 + s*u + j*u**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/1180660 and -31\/1180660.\nAnswer: 1180660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2, 0.3, 227, 21, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1681 is divided by 1660?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c**2 + 135536*c - 4592501824 = 0. Calculate c.\nAnswer: 67768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03672 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (41 - 54) + -21 - -73 - 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.3 + 5.3. Which is the second smallest value? (a) 4\/5 (b) 4 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {v: 1, b: 11}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*x - 54*x - 13*x)*(-2 + 2 + 2*x) - 2*x**2 + 6*x**2 - x**2 + (2*x**2 - 3*x**2 + 0*x**2)*(2 + 11 - 1).\nAnswer: -159*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n + 27. Let r(l) = -8723*l. Determine i(r(q)).\nAnswer: -8723*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -18, -43, -82, -135, -202, -283, -378?\n\"Answer: -7*u**2 - 4*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13454678\/357 - 37688. Calculate the common denominator of m and -4\/1547.\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(-6))\/(1120\/336)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 976.743 centimeters in kilometers?\nAnswer: 0.00976743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1991 or 1992?\nAnswer: 1991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 712673460 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 8*f + 25. Let u be q(-3). Suppose d - 4*t - 5 = -u, -d = -2*t. What is the second biggest value in d, -2, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 2*p - 7. Let a(r) = -r. Let f(w) = -3*a(w) + o(w). Determine f(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from {s: 3, c: 2, b: 12}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2 - 4*o - 15. Let m be k(-3). What are the prime factors of m\/48 - 17301\/(-24)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/6 and 47\/7674?\nAnswer: 7674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + -218?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -92, -242, -392, -542, -692, -842?\n\"Answer: -150*y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4.6 (b) -3 (c) -0.05 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 37136.74mm?\nAnswer: 0.03713674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 3*p - 18 = 0, 2*p + 178 = -n + 170 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1402*c**3\/17 - 2802*c**2\/17 + 4210*c\/17 - 6\/17 = 0. Calculate c.\nAnswer: -3, 1\/701, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11? (a) 1\/4 (b) -0.4 (c) -51.93 (d) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 4*g - 6552 = 0, -3*g + 3742 - 451 = 2*v. Is v 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 720981?\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**2 + 13865*k + 373598. Determine i(-27).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 207.554036 rounded to 0 decimal places?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 148\/(-12) + (-10)\/42 + (-8)\/(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -49 + 53 - (-2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -2 + 1 + 1 + sqrt(288) + -4*(sqrt(288) + -1)*-6*1)**2.\nAnswer: -13200*sqrt(2) + 180484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 132225187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/204 and -23\/42806.\nAnswer: 256836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 + 6 + 1 + 0. Let o = 12 - w. Let s(f) = -3*f - 10. Let b be s(-4). Solve 4 = -b*y - o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 54051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -16083000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*x - 15 = -72. Let p = -4.96 + -0.04. Sort 6\/5, x, p in descending order.\nAnswer: 6\/5, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2 + 16*r + 4. Let q be c(14). Let w be 22\/8 + (-24)\/q. Solve -2*v + 30 = -4*j + 3*v, w*j + 12 = v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 4*a = 6. Which is smaller: a or 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-6))\/(4\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b**2 - 51527904*b + 51527902 = 0 for b.\nAnswer: 1, 25763951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 36174726 and 1008?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-2))\/(o**(-3\/8)*o))**(-1\/23) assuming o is positive.\nAnswer: o**(13\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22 + -7 - 18 - (-14 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -421*j + 45004 - 18902 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, o: 7, s: 1}. What is prob of picking 1 s and 2 o?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5459 - -5464. What is the nearest to 1\/3 in b, -12, 2\/13, -4\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -518 by -6.\nAnswer: 259\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.6 and 1086315.\nAnswer: 651789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 - 8*j**2 + 13*j - 7. Let c be q(10). Let w(x) = 125*x**3 + 4 - 9*x**2 - 407*x**3 - c*x**3. Let o be w(6). Round o to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**3 - 309*g**2 + 217*g + 28236. Give t(308).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6593964 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -5542*y**5\/9 + 60958*y**4\/9 - 31390*y**3\/3 - 61030*y**2\/9 + 99712*y\/9 + 8 = 0.\nAnswer: -1, -2\/2771, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + (-2)\/6*0. Suppose -5*b = i*m - 11, -9 = b - 5*m + 5. Let p(o) = o + b - 1. Let x(k) = -k. Determine p(x(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -4*y**2 + 40*y + 173. Let c(b) = b**2 - 9*b - 43. Calculate -9*c(r) - 2*x(r).\nAnswer: -r**2 + r + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 6, g: 2}. Give prob of sequence qg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -88*v**3 + 18*v**2 - 6*v - 129. Let g(n) = -n**3 + 3*n**2 - n. Let t(h) = 6*g(h) - i(h). Differentiate t(q) with respect to q.\nAnswer: 246*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = -2*f + 158 - 52, 20 = -4*v. Let c = 5 + 2. What is the greatest common factor of c and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttfttfftttttmfmft. Give prob of sequence tf.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - -1 - 3 - (11 + (-10 - -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13518*w**5 + w**3 - 1721*w**2 + 2*w wrt w?\nAnswer: 811080*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - -6 - (-5 + 5 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2088 and 59976.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77585?\nAnswer: 5, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add -32990630 and -1690.\nAnswer: -32992320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from phuhuuu. Give prob of picking 2 h and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*b + 200 = 18*b. Suppose -10 + 9 = -b*f + 3*c, -f - c = 3. Let j(p) = 19*p**2 + 3*p + 2. Give j(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -11 + 13 - -7*1 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1037 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 5*s + 0*s + 7 - 5*s + 2*s. Let p be i(-3). Do p and -1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -9*p**2. Let t(u) be the second derivative of u**3\/6 - u**2 - u + 1901. Determine t(s(z)).\nAnswer: -9*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 29306.46 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.1, -2\/7, 4\/561?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 2*x - 15, -4*x - 8 = z. Let a = 177 + z. Suppose -2*n + 97 = -a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -159 + 151. Let b(c) = c**3 + 7*c**2 - 8*c - 5. Determine b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.046, -0.5, 1, -132, -13.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n, 1 e, and 1 s when four letters picked without replacement from eesnnneenneneee.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 210547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 139466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 683.7 (b) -5 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -74 + 138. Suppose -4*d + a + 64 = 0. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 291161496*r**5 - 41877415*r.\nAnswer: 5823229920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (0\/213)\/((-1)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**3 - 8*c**2 - 3*c - 8. Let k(m) = -m**3 - 9*m**2 - 4*m - 9. Let x(w) = -4*h(w) + 3*k(w). Let j be (2 + 10\/(-4))\/((-7)\/(-70)). Calculate x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -23*t - 20. Let o(c) = 8*c + 7. Let v(r) = 17*o(r) + 6*u(r). Let p(s) = -2*s**2 - 4*s - 2. Let x be p(-2). Determine v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m - 1. Let c(l) = l. Let w(j) = 7*j + 5. Let v(z) = c(z) - w(z). Let p be (1 + -2 + 0)*1. Suppose 5 + 5 = 2*s. What is p*v(o) + s*g(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2140597367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9*b*x**3 + 23*b*x**2 + b*x - 2*b + x**3 - x**2 - 190*x wrt x.\nAnswer: -54*b*x + 46*b + 6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sum 1200.9130939 and 5.31.\nAnswer: 1206.2230939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4071 and 9499?\nAnswer: 28497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -859266*p**2 - 288116*p + 1?\nAnswer: -1718532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*-3*sqrt(1584)*2*2 + 5*5*(sqrt(1331) - 5*(sqrt(1331) + sqrt(1331)*-1)).\nAnswer: 995*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 3*s = 10. Put s, 3\/4, 0.8 in decreasing order.\nAnswer: 0.8, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110001110 + -10?\nAnswer: 110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/15319 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 73*z - 2. Let p be u(-3). Let r = p + 549. Calculate the greatest common factor of 41 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 56 + (-6)\/9*-6. Suppose r = 4*z - 0*z. What is the remainder when 27 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -25343559 divided by 25343559\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 59*l**2 + 4*l + 120. Let j be k(-30). What is j rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 16 - (20 - 9) - (1 + 1). Suppose 3*x - 2529 = t*b, -5*x + 4205 = -4*b + b. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -299.4 - -276. Let w = s + 23.4. What is the smallest value in 5, w, 1\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than -1\/44475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5 - -4)*0\/(-2). Let a(b) = b. Let k(s) = 5*s - 3. Let m(g) = 6*a(g) - k(g). Let p be m(o). Solve 1 = -4*v - p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 194471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-27)\/(-12)*(-11832)\/(-4698) + -6 + -1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = l - 7, -l - 5*o = -10 - 4. Calculate the remainder when 14 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.7 in 0.4, 2, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -8119 divided by -6\nAnswer: 8119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 2*o**2 - 14*o + 17. Let t be d(6). Solve -4*c - 5*k = -20, t*c = 2*c - 3*k + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 82? (a) 72.5 (b) -0.157 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 15873170*f - 24268796.\nAnswer: 15873170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 4, 1.2, 7\/3, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15*(8\/(-4))\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*r**2 - 10 + 5*r**4 + 20 - 10 wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-2*(-2*sqrt(192) - 1*(-3 + sqrt(3))**2).\nAnswer: 96 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (19\/(-57))\/(1*(-3)\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 2*c**3 + 87*c**2 - 41*c + 137. Let z be d(-44). Solve -3 = -z*y + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 28*j**3 - 36*j**4 + 17*j**4 + 20*j**4 + (9*j - 8*j + j)*(j**3 - j**3 + 3*j**3).\nAnswer: 7*j**4 + 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 627306 by 6.\nAnswer: 104551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2 times 531.1\nAnswer: 1062.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 100.45?\nAnswer: 105.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1210906493 to the power of 1\/2, to the nearest integer?\nAnswer: 34798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -3*x. Let k(g) = -155154*g. Determine y(k(n)).\nAnswer: 465462*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*r**(-1\/2))*r)**(-26)\/(r\/(r*r*(r**(1\/2)*r*r)\/r))**(1\/2))\/(((r**(-5\/2)\/r*r)\/r)\/(r\/r**(-5\/8)*r*r))**38 assuming r is positive.\nAnswer: r**233","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 4*w - 2*w)*((-1 + 3 - 3)*(0 + 1 + 0) + 1 - 1 + 2).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor q**5\/5 + 739*q**4\/5 + 5142*q**3\/5 + 13196*q**2\/5 + 14648*q\/5 + 5856\/5.\nAnswer: (q + 1)*(q + 2)**3*(q + 732)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*f + 61*f - 762 = 3*g, -2*f + 2*g = -304. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1217772844.\nAnswer: 2, 11059, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 - 7*u**2 + 8*u + 2. Let z be c(-8). Let b = -49\/2 - -25. Factor -3\/4*g - b + 5\/4*g**z.\nAnswer: (g - 1)*(5*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 199, 4, 322 in ascending order.\nAnswer: 4, 199, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -30 - -332\/11. Let h be (-861)\/(-84) + -23 - -13. Which is the third biggest value? (a) t (b) -1 (c) h (d) -185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -c972f (base 16) in base 11?\nAnswer: -513a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 463 divide 323319382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3.593 - -0.007. Let y = n - 3.600001. Round y to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -12*z + 6. Let f be s(-8). Suppose 5*h + 12 = f. What is the remainder when h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*j + 5 - 2*j - 4*j - 6*j to g*j + c and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 30.10660784 - -0.5\nAnswer: 30.60660784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - o. Let r = -55 + 57. Suppose 6 + o = r*p. Solve -2*d = d + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 390 = t - 398, -7 = -2*t - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -277282 by 2.\nAnswer: -138641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2.1 or 750?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = 9*p + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18129 - 18121.181. Let l = r + -0.019. Let a = 2.2 + l. Is 0.1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24931, 24796, 24571, 24256, 23851, 23356, 22771?\nAnswer: 22096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 42886 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 318 = -67*d + 1122. Solve 3*l + d = -3*m, -m = -25*l + 21*l - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3421 + -4?\nAnswer: 3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -46 + (53 - (-71 - -111))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 58.97 (b) -0.5 (c) -89 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: b\"What is the ith term of 436, 427, 420, 421, 436, 471, 532, 625?\n\"Answer: i**3 - 5*i**2 - i + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 279147740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -87666 + 243725. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5645 is divided by 935?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -21 + 34. Let n = 7 - v. Let j = 6 + n. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**2\/3 + 256*k + 1552\/3.\nAnswer: -4*(k - 194)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14 - (-22 + 39) - 877*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21769565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 556 and 5?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*5\/12 + (-136249)\/(-8094)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*f**2 - 42*f**2 + 33*f**2)*(22*f + 0*f + 7*f).\nAnswer: -609*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-6))**(-2\/19)\/((n*n**6*n)\/(n\/(((n**(-5\/7)\/n)\/n)\/n))) assuming n is positive.\nAnswer: n**(-353\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s**(6\/23)*s*s*s*s**(7\/3))**(15\/8) assuming s is positive.\nAnswer: s**(655\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 24 - ((-4 - -1) + 4). Suppose 3*q + 4*s = 33 - 6, c = 2*q + s. Calculate the greatest common factor of q and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1763300167 to the power of 1\/3, to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*h - 2*l, 5*l = 8 + 7. Solve 6 = -h*y - 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = t + 1 - 2 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 4*m + 6 = 0, 0*j + 15 = 5*j + 2*m. Let p(f) = 3*f + 86. Let s be p(-28). Let b(l) = 1 - j*l + l + 4*l - 3*l**2 + s*l**3 + 0*l. Give b(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -77802.0779 and -1.05.\nAnswer: -77803.1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -2*b - 1. Let d(c) = c**3 + 3*c**2 + 3*c. Let m be d(-3). Let w be ((-4)\/(-6))\/(3\/m). Let p be x(w). Let t(l) = -l**3 + 2*l**2 + l + 3. Give t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-12602168)\/(-190) + ((-9)\/(-5) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47 and 4\/14 - 1245\/(-175)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*p - 58*p - 219 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (33\/(-30) - -2)*(-20)\/(-24). What is the nearest to 35 in -2\/3, 5, a, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 49.10046 days to nanoseconds.\nAnswer: 4242279744000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6\/53? (a) 2\/9 (b) -38.3 (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/198 and 31\/132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 923, 3707, 8355, 14873, 23267, 33543, 45707?\nAnswer: 59765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 6, g: 5, x: 1, l: 7}. Give prob of picking 2 i.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -76 + 91. Suppose 0 = 25*h - o*h - 50. Solve 5*f = g + 18, h*g = 4*f - 3 - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -213, -554, -907, -1278, -1673, -2098?\n\"Answer: -i**3 - 334*i + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wcfiuriucifuwf. Give prob of picking 1 u and 1 f.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of -f**4\/12 + 4*f**3\/3 + 11*f**2\/2 + 16*f. Let u be r(9). What is the nearest to 0 in -0.4, -3, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 0*u + 2*l + 13 = 0, 3*u = -l - 8. Let k be (2 - (1 + u))*-7. Let f(w) = -2 + 0 + 3 - w. Let z(v) = -v**3 - 6*v + 8. What is k*f(r) + 2*z(r)?\nAnswer: -2*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of a**8\/560 - a**6\/90 + 2*a**3 - 2*a. Let g(n) be the second derivative of c(n). Find the third derivative of g(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 280*i**3 - 54 wrt i?\nAnswer: 840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, -25, -69, -173, -361, -657, -1085?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -271 + -5?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:17 PM and 8:27 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 152 and 57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*b**5 + 1136*b**4 + 106000*b**3 + 3101184*b**2 - 13713408*b + 14155776.\nAnswer: 4*(b - 2)**2*(b + 96)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -464510000 rounded to the nearest one million?\nAnswer: -465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -292*m = -369*m - 462 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 68*j + 0*j + 3*j in the form i + v*j and give v.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -13504233 (base 6) in base 2?\nAnswer: -1110000001111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13 + 8)\/(-12 - (-9)\/1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 41\/36 + -8\/9. Let t = -4 - -6. Factor -b*x**t + 0 - 1\/2*x.\nAnswer: -x*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 AM and 10:43 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -44 + 38. Let q = s - -23. Suppose 3*f - 259 = q. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of -k**4\/12 + 17*k**3\/3 - 32*k**2 + 3522*k. Find v, given that y(v) = 0.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5681 - 5685.173. Round h to one decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4.1700179 + 4.17. Round h to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 119 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/(-9)*36\/42.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2 - 75\/35 - (-9720)\/126 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3015 and 19905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-1)\/w)**44*(w*w**(-1\/3)*w)**(-2\/39))**(-31) assuming w is positive.\nAnswer: w**(319486\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -930*g + 59516. Determine k(64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/21 and 88\/35543949.\nAnswer: 35543949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -4, -176871475.\nAnswer: -176871475, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = 14 - 134. Let h(y) = -y**2 + 10*y + 15. Let w be (-12)\/16 - 423\/(-36). Let n be h(w). Calculate the greatest common divisor of r and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -917861\/366150 + 3\/24410. Let u = l + -89\/25. Let b = 17\/3 + u. What is the second biggest value in 3\/4, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 54601*f**3 + 1 - 109217*f**3 - 2*f**2 - 20*f**4 + 54602*f**3 as m*f + s*f**2 + n*f**4 + u*f**3 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 5019637485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*w**4 + 50387102*w**3 + 412232196*w?\nAnswer: 48*w**2 + 302322612*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 182*r + 179*r - 8)*(-1 + 1 + 3*r).\nAnswer: -9*r**2 - 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3\/11 + 142*r**2\/11 - 544*r\/11 + 536\/11.\nAnswer: -2*(r - 67)*(r - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of 59*k**6\/3 - k**4\/2 + 3*k**2\/2 + 11*k + 492. What is the second derivative of f(x) wrt x?\nAnswer: 2360*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 2*y + 8 + 7, -10 = o + 3*y. Let j(m) = -15 - m**3 - 18*m + o*m + 12*m - m**2. What is j(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 + j + 56. Let b be h(0). Suppose 6*a = 3*g - 2*g - b, -5*a - 49 = -2*g. Which is bigger: -106\/13 or a?\nAnswer: -106\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -2715, -1, 30, -3, 19, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -220 - -767. Calculate the remainder when r is divided by 96.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 132 and 30591.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - a - 4)*(-11*a**2 - 3*a - 40430168 - 7*a**3 - 11*a**3 + 40430169).\nAnswer: 18*a**4 + 11*a**3 + 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 148057.79974 - 148126.8. Let s = f - -69. What is s rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1377489400 rounded to the nearest 1000000?\nAnswer: -1377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be (82\/(-40) + (-810)\/40 + 22)*(-4)\/3. Let z = 7\/2 - 33\/10. Let z*l**4 - u*l - 4\/5*l**3 + l**2 + 0 = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*r = -r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -12 + 12 - f**2 + (-2 + 2 - 2*f)*(-f + f + f) in the form l*f**2 + m*f + n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the first derivative of -2*a**3\/3 + a**2 + 59*a - 10994. Let c(r) = 5*r**2 - 6*r - 176. Calculate -4*c(y) - 11*u(y).\nAnswer: 2*y**2 + 2*y + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -345 + 1227 = -240*p - 1518 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -2*d - 23. Let h be o(7). Let z = h - -46. Suppose z - 6 = r. Solve 0 = -r*p + 6*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v + 24 = 9*v. Let h = v + -2. Solve -5*d + 2*d = -h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2417 and 50757?\nAnswer: 50757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 506679, 506615, 506505, 506349, 506147?\nAnswer: 505899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-2)\/(-3) - 28\/24)*14 - -2596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 837324, 1674661, 2511998, 3349335?\n\"Answer: 837337*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 161.852 + -161.85100371. Round k to 5 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 109 - 72. Suppose -4*a = 9 - q. Let o(t) = 2*t - 2. What is the units digit of o(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15896129?\nAnswer: 227, 239, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 296618879 take away 0.1?\nAnswer: 296618878.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*y**2 + 790*y - 795.\nAnswer: 5*(y - 1)*(y + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lly when three letters picked without replacement from {f: 6, y: 4, l: 7}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(1*-2*(-1 + 1*sqrt(2156) + -2) + -5))**2.\nAnswer: -504*sqrt(11) + 77625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23473.\nAnswer: 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**2\/3 - 332508112*i\/3 - 27640411136451136\/3.\nAnswer: -(i + 166254056)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes after 4:32 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -315 + 293 - (-1 + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7.5 + -10.15. Let p = -2.3 - c. Let z = p + -0.4. Which is smaller: z or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-17\/3)\/(a\/(a\/(a*a*a*a*((a\/(a\/(a\/(a**5*a))))\/a*a)\/a)))*a**(-2\/29)\/(a*a\/((a*a**(-2\/7)*a)\/a)*a*a))**(9\/5) assuming a is positive.\nAnswer: a**(-12828\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -446759 by 1.\nAnswer: -446759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*v + 4*b - 12, 2*v = 3*v + 2*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, m: 8, y: 4}. Give prob of picking 2 m.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(-3\/8)*r**4*r**5*r**(-4\/11))\/((((r\/r**(2\/9))\/r)\/(r*r**3))\/(r**(-7)*r*r**(-5\/2))) assuming r is positive.\nAnswer: r**(4541\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 140627074498 and 0.1?\nAnswer: 140627074497.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (1140\/195 + -14) - -6*(-300)\/39.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18\/261*45\/18*(-2)\/10?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2 + 3)\/(3\/48). Suppose -4*a + t = 2*u, 0 + 4 = 5*u + a. Let i = 132 - 927\/7. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 142851.\nAnswer: 3, 17, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 48 (base 14) in base 13?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b**3\/4 - 623*b**2\/4 - 89389*b - 89233 = 0. What is b?\nAnswer: -362, -1, 986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 269, -3275, -6819?\n\"Answer: -3544*u + 3813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 4 = -1. Suppose -4 = -w*n + 14. Suppose 2*z - 4*l - 74 = 0, -n*l + 4*l - 124 = -4*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-5*(sqrt(1053) + -1 - sqrt(1053)))**2 + 3 + -5*(sqrt(1053)*-3 + sqrt(1053) + -3) + 1.\nAnswer: 44 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, v: 1, i: 1, o: 1, q: 2, k: 1}. What is prob of sequence qk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2\/63187 - -63195\/252748. Let g = 0.03 - -6.97. Let q = 4 - -1. Which is the closest to z? (a) -3 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tu when two letters picked without replacement from {n: 4, t: 2, g: 6, u: 3, q: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**3 + 10*m**2 + 3. Let s be v(10). Suppose -5*z + 5*c + 45 = 0, z = -3*z - s*c + 64. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -94 = -3*t + 284. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 564 and 2?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t**3 + t**2 + 4. Let c = 177 + -177. Let k be s(c). Let w(z) = -11*z + 9. Let b(x) = 6*x - 5. Calculate k*w(n) + 7*b(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 AM and 3:45 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 2\/3139?\nAnswer: 2\/3139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve y - 4*z + 12 = 0, -3*y + 5*z + 6 = 21 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.05349, 2.7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 129\/170 + -52\/17. Let k = -9987\/3410 - -265\/62. Let n = k + -161\/220. Find the common denominator of r and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -5*q**4 - 285*q**3 - 250*q**2 + 1680*q = 0.\nAnswer: -56, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**2 - 92510*a + 832543. Give s(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s - 20 = -14. Let u(d) = 1 - 4*d + 0 + 3*d. Let h(o) = 2*o**3 + 2*o**2 + o - 3. Give s*h(v) + u(v).\nAnswer: 2*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 114593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1965 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 198 and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -653958*k**4 + 202218*k?\nAnswer: -7847496*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of p**3\/6 - 15*p**2\/2 + 16*p - 26. Let l(i) be the first derivative of o(i). Determine l(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)\/(sqrt(891) - (sqrt(891) + sqrt(891)*-2)))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 160 = -4*b. Suppose -b = 4*t, -2*s + 5*t + 18 = -s. Sort s, -3, 0 in decreasing order.\nAnswer: 0, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128520 is divided by 342.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -12, 41, -169, 4 in ascending order.\nAnswer: -169, -12, 3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 3*j**3 + 30*j**2 + 96*j + 96 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.33 times 10.8\nAnswer: 3.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3033134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 140 and 875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - 5 = -4*r + 9*r, -2*r + 5*k = 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 14 + 74 = 0. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2854179, 2854174, 2854169?\nAnswer: 2854164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -35*p**3 - 26*p**2 + 2*p - 3. Let v(r) = 35*r**3 + 29*r**2 - 3*r + 4. Determine -2*v(l) - 3*y(l).\nAnswer: 35*l**3 + 20*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 34 - 30. Suppose -r - a = -13, -3*r + 14 + 28 = b*a. Calculate the highest common divisor of r and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -22963*f**2 + 2*f + 21. Suppose 0 = 2*w + 4*d - 2, -24 + 74 = -5*w + d. Let i be t(w). What is i rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 190, 163, 136?\n\"Answer: -27*w + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -5 - 2*c - 6*c**2 + 3*c**2 + 3*c**3 - 2*c**3 + c. Let n be z(4). Suppose 5*k - 13 - n = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2633*r - 2626*r - 21 = 0. Solve -r*w - 4*u + 2 = 2*w, -w - 2*u = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(76) + sqrt(76))*2 - sqrt(76))\/(sqrt(576)*-2).\nAnswer: 5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -423 = -17*y - 474 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - 8)*(75\/12)\/(-5). Solve -5*f + 0 = -r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in -o**3\/4 + 807*o**2\/4 - 217083*o\/4 + 19465109\/4 = 0?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lillllliill. What is prob of picking 2 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23*x**2 - 11*x**2 + 3*x**3 - 13*x**2 to s*x**2 + w*x + o*x**3 + p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 344272547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n + 9 = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*k + 3973 - 7950 + 3977.\nAnswer: -81*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l + 17. Let r be y(-12). Suppose 0 = -3*u + 2*m + 44, 0*m - 4*m = -r*u + 70. What is the smallest common multiple of u and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddi when three letters picked without replacement from {d: 8, i: 4, u: 3, k: 1, s: 1}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 2 + (0 + 3 + 0)*(-2 + 0 + 1))*(1 - x - 1).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5 - 2)*1\/1. Let i be 7\/2*24\/x. Suppose -4*k = r - 31 - i, 2*k + 2*r = 34. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -x + x + x**2 + (1 - x**2 - 1)*(3 - 2 - 2) + 57*x + 92*x + 2*x + 2*x**2 to the form p*x + f + u*x**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 44 (b) 0.5 (c) 0 (d) 0.1 (e) 19 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rfqqfrrraa. What is prob of picking 1 a and 1 r?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 + -35 + 218 + -146?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 12, r: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 113906 - 5*a + a - a + 370*a**3 - 113905 + 2*a**2 to the form n*a**2 + t + d*a**3 + q*a and give d.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 4*r - 4*r + 23*r**2 + 70*r**2 in the form z + l*r + b*r**2 and give b.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 7*t - 5*t = 51*t - 540 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from ibzzzzbaqgbqgb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 2*v**2 - 4*v - 1. Let q be 4\/(-6) + 22\/6. Let x be g(q). Suppose 5*a = -x, 4*a = -2*z - 1 - 5. Sort -2, 1, z in descending order.\nAnswer: 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 49, 81, 77, 19, -111, -331, -659?\n\"Answer: -3*x**3 + 53*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from blnbnqllbmn. Give prob of sequence nq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 1 + 24 = -2*x, -3*x - 5*l = 25. Solve x = -3*z - 5*s + 1, -189*s = -193*s + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the first derivative of 6*c**5\/5 + 4*c**3\/3 - 5. What is the third derivative of u(w) wrt w?\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 3*i = 5*f, -3*f = -4*i. Let q(j) be the second derivative of f*j**3 - 8*j + 6*j**2 + 0 + 1\/4*j**5 + 0*j**4. What is the derivative of q(t) wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 27\/(-6)*(-624)\/108. Does 28 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, d: 5, j: 3, f: 2}. What is prob of picking 1 f and 2 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-84)\/88 + 1)*-4. Let o = -29 - -199\/7. Which is the third biggest value? (a) -0.2 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cxcxxc. What is prob of picking 1 x and 2 c?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 109184*-2.\nAnswer: -218368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 + -2. Suppose v*i = i - 3. Solve 3*d + 15 = i*h, 5 = -h + 2*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or 3869\/2535?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is next in 104140, 104359, 104578?\nAnswer: 104797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*f - 16*f + 9. Solve 0 = 4*i + 3*a + 17, 0*i = -f*i + 5*a - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 795092 and 56736?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*v + 10 = -2*p + 11*v, -p - 6*v + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - 22) + 18 + -16 + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - -3. Let a(x) = x**3 - 2*x**2 - 5*x + 8. Let z be a(3). Let l be ((-4)\/(-2)*7)\/2. Solve -q - 13 = 5*s, -3*s = -v*s - z*q + l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*u**2 + 7*u**2 - 25*u**2 + 7*u**2 + 6*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6901 - 6725.85. Let m = -455 + 284. Let a = m + b. What is a rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 + 21 + 21 + 14 + 24 + 5*a**3 - 92.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -1543*b - 171171 = 186*b for b.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.04 - -1.04. Let p = -2 + u. Which is the closest to p? (a) 1 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 345071, 345107, 345143, 345179, 345215?\nAnswer: 345251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -105 by 71.\nAnswer: -105\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -2*m. Let t(w) = 31493521*w**2 - w + 1. Give t(n(y)).\nAnswer: 125974084*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/16)\/(144\/(-192))*24\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/210 and 19\/66.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1266937041?\nAnswer: 3, 3203, 131849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.03, 3\/4, -5, 0.48 in ascending order.\nAnswer: -5, 0.03, 0.48, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 11*4.3\nAnswer: 47.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 390155?\nAnswer: 5, 78031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 - 18*x**2 - 13*x + 51. Calculate i(-17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 + -16.3. Which is the nearest to 1? (a) k (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -92*r - 4*p + 52010 = -90*r, -78006 = -3*r - 3*p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 76 = -212. Let u = -357\/5 - s. Let v(w) = -w**3 + 7*w**2 - 5*w - 1. Let c be v(6). What is the third smallest value in u, 2\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77103 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 + -2. Suppose 2*v = v + b + 35, -v + 35 = -m*b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-672)\/(-1824)*2\/7.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -193 or -6\/697?\nAnswer: -6\/697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -391 - 23*w - 386 - 393 + 1166 + 0*w.\nAnswer: -23*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2793)*-2)\/sqrt(3) + ((sqrt(76) + -2*sqrt(76)*1)\/sqrt(4))**2 - (-5*(sqrt(95) - 2*sqrt(95)))\/((-1*sqrt(25))\/sqrt(5))*5.\nAnswer: 19 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -22 + 43. Is 6 a factor of a\/105 - (-64)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -167*v**4 - 7*v**3 + 2*v**2 - 4212 with respect to v.\nAnswer: -668*v**3 - 21*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.08*0.16\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1495\/598 - (45\/(-180))\/((-2)\/852).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-15 - -28) + 0\/(-5) + -48\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/6825 and 127\/1249300?\nAnswer: 26235300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -60 + 2614?\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.27 + -0.27. Which is the nearest to 2? (a) i (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 AM and 1:34 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 9, i: 1, r: 1}. Give prob of sequence cr.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 11891*k + 59761. Give b(-5).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 295775527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 72636333817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -12 + 12 + 7*h**2 + (0 + 2 + 0)*(387 + 232*h**2 - 387 + 3*h).\nAnswer: 471*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(72) + 0)*3 + -1 - -5*(sqrt(20)\/(sqrt(10)*4) - sqrt(24)\/(sqrt(12) + sqrt(48)\/sqrt(4))).\nAnswer: -1 + 67*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7623 - 3046. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2928290009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -5*h + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -586245.737 + 585997. Let k = 457 - 208. Let h = k + n. Round h to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (95\/2*(-22)\/220)\/(-10*(-9)\/(-120))?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63863 - 463857 = -128*j + 100230. Does 72 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0.1, -44, -3, -2.7, -17, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -595 + 589. Is (p\/2)\/(6*8\/(-7472)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17 - 17.5. What is the nearest to 1 in n, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 51 + -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.3 - 0.7. Let a = -5947.61 - -5945.609966. Let r = a - u. Round r to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**2 + l - 378. Let a be i(0). Let z be ((-4)\/(-7))\/((-9)\/(a\/60)). What is the third biggest value in z, 1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3501 (base 7) to base 6.\nAnswer: -5523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 34.92843mg in nanograms?\nAnswer: 34928430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 460 = -b, -3*s + 5*b - 770 = -8*s. Let o = s + -607\/4. What is the closest to o in -1, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -93\/58 and 63\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - -8.3. Let i = 144 + -82. Let m = -62.25 + i. Which is the closest to -1? (a) m (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*l + 2*l. Suppose 0 = 2*t - 2*g, -3*t + 5*t - 15 = -3*g. Solve t*f = -l*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -238193, -238176, -238157, -238136, -238113, -238088?\nAnswer: -238061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1108, -1103, -1112, -1141, -1196, -1283, -1408?\n\"Answer: -v**3 - v**2 + 15*v - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.2 + -0.3. Suppose f + 3 = 4*q, 4*f - 9*f = 2*q + 37. Which is the nearest to q? (a) k (b) -1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -217 - -318. Let z = -199 + k. Let t = 98.4 + z. What is the nearest to 0 in -3, t, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*j + 2*c + c + 8*c + 8 + 207 = 0, -22 = -j + 3*c for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m - 1 + 66 - 64 + m + 2.\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 391578*i**5 + 130020*i.\nAnswer: 7831560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 30\/(-10) - 4*-2. Let r(o) be the second derivative of -o**5\/20 + o**4\/3 + 3*o**2 - 5*o - 2. Calculate r(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5690 and 30157.\nAnswer: 301570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1175783658 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 5, h: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13600 and 363080.\nAnswer: 123447200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -344\/11 greater than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8555 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: What is the remainder when 657 is divided by 524?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.219 + 0.081. Suppose 2*n + 20 = -2*n. Sort d, n, 3.\nAnswer: n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -187*p**2 - 43*p**2 - 33*p**2 - 77*p**2 to the form l + i*p + c*p**2 and give c.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in -2, 14, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (20\/8 + 0)*2. Solve -3*y = -2*r + 2, -9 = 2*y - o*r + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*h**3 + 3*h**3 + 21*h**2 - h**3 - 7*h**2.\nAnswer: 4*h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 3*k + 0*k + 19*k + 40*k + 12*k + (-2*k + 4*k + k)*(-7 + 2 + 1) + (-1 - 3 + 2)*(3*k - 4*k + 2*k))*(1 - 6*k**3 + 6*k**3 - k**4).\nAnswer: -56*k**5 + 56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-24))\/(1\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 1)*(2*o + 3*o - 3*o)*(1 + 0 + 1 + (2 - 4 + 4)*(1 + 0 + 0) + 1 - 5 + 5 + 2 + 1 - 1 + 3 + 4 - 2).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.1, 0.5, 4, 28, 15\/97?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 128643489047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 133438 * 28.\nAnswer: 3736264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, i: 4, e: 2}. Give prob of picking 1 i and 2 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/4)\/(375\/(-50)). Which is smaller: m or 2\/29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 7344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 100 - 219. Let r = 119.00000063 + k. Round r to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -9*l**2 - 430*l + 32. Give o(-48).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 8989 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34102?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 128, 259, 400, 557, 736, 943, 1184, 1465?\nAnswer: 1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*1*sqrt(136))\/(sqrt(32)\/(sqrt(24)\/sqrt(6)))*3.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + -14 + -1 - (-1376 - -1382)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/3 - 2 - (1 + -2)*7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 670.008 nanometers?\nAnswer: 0.000670008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((0 + sqrt(5))*-2 - sqrt(50)\/sqrt(40)) + -3 + (sqrt(5) - sqrt(5)*-3) + 0)**2.\nAnswer: -9*sqrt(5) + 81\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -1238*g + 4877. Calculate c(4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of -3*j**5\/4 + 2*j**3 - 17*j + 8. Let g(s) be the first derivative of x(s). Find the second derivative of g(b) wrt b.\nAnswer: -90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 4\/5, 3\/5, 0.48, 1, -2\/9?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 - 7*h - 4. What is x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-4)*(-102)\/17*2\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 64649712776 minus -8?\nAnswer: 64649712784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 3*u**2 - 5. Let w(v) be the first derivative of -2\/3*v**3 + 25 + 2*v + 0*v**2. Calculate -2*r(x) - 5*w(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 4:43 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-3\/2)*i*(i\/(i*i**(2\/3)))\/i)\/((i\/((i\/(i\/(i*i**0*i)))\/i*i))\/i)**(1\/7) assuming i is positive.\nAnswer: i**(-79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 34 = -5*j, 5*j + 2*u - 4 = 28. Let n(z) = z + 10. Let s be n(0). Suppose x - j*x = -s. Solve -2*d + 4*d + x = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-7) - (-6)\/21. Let g(u) = 3*u + u**2 + 0*u**2 + 0*u**2 + 2*u**2 + 4. Let r be g(-1). Solve -r*q + t = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3\/4, -12\/307, -7\/2, -1396?\nAnswer: -12\/307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 220469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2 or -1\/8255586?\nAnswer: -1\/8255586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the second derivative of -40*m - 6\/5*m**5 + 1\/2*m**6 - 1\/14*m**7 + 0*m**2 + 0 + 0*m**3 + m**4. Solve c(s) = 0 for s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-9)\/(-6))\/(3\/6742) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the first derivative of 2*g**3\/3 - 7*g**2\/2 - 3*g - 3. Let m be j(6). Suppose -4*p + 67 = m. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 291*n + 172683 = 186069 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 20\/15*3\/2. Let s = 5 - p. Let a be 3*(2 + (-4)\/s). Which is smaller: 3\/5 or a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1586 + -1612 - (-4 - (-1 - -1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, a: 3, n: 2, r: 11, z: 1}. Give prob of picking 3 v and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1104, -2211, -3320, -4431, -5544, -6659?\n\"Answer: -n**2 - 1104*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z + 3 - 3 - 3 + 3 + 2*z + (-3 + 2 + 2)*(-z + 4*z - 2*z) + 6*z - 4*z - z - 4 + 4 - 5*z - 2*z + z + 2*z)*(467*z + 10781 - 10781).\nAnswer: 934*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 - 3*q**2 - 3*q - 4. Let p be y(-3). Solve 0 = v - 2*v + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1511*g - 1522*g + 22. Let k(l) = 15*l**2 + 2*l - 1. Let r(x) = -46*x**2 - 7*x + 3. What is g*r(a) + 7*k(a)?\nAnswer: 13*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 - 7*t**2 + 11*t. Let h(g) = g**3 + 8*g**2 - 12*g + 1. Let k(a) = 6*h(a) + 7*o(a). Let j be k(-2). Solve j = q - 2 + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 less than 3943349657?\nAnswer: 3943349657.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -28*v + 18*v + 40. Calculate the lowest common multiple of 206\/v - 11\/22 and 3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c + 22. Let r be a(-16). Suppose -192 = -5*m + 3*f, 4 = m + 3*f - 20. Calculate the highest common factor of m and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 23463*o**2 + 67290.\nAnswer: 46926*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 6*w - 5. Let x(h) be the second derivative of 7*h**3\/6 - 3*h**2 - 3*h. Let q(p) = 3*x(p) - 4*y(p). Differentiate q(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1937*q**2*z**3 + 35*q**2*z**2 + q*z**6 - 137*z**2 wrt z.\nAnswer: 11622*q**2 + 120*q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8470.2 - 8470. What is the smallest value in -41, -0.09, n?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 746.18 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 84440 = -4*h, 0 = -89*h + 87*h - 12. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 75370528.3 to the nearest one million.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 388070 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 25682089?\nAnswer: 102728356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -2, -7, 2, -1253, 5 in decreasing order.\nAnswer: 5, 2, 0, -2, -7, -1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4073 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -8, 4*x - 83 - 15 = -3*y. Let t = -4 + y. Find the first derivative of -t*m**2 + 26*m**2 + 0 - 18*m**3 - 6 wrt m.\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20*i**3 - 7*i + 45*i**2 - 9*i**3 + 10*i**3 - 37*i**2 to the form z*i + q + h*i**2 + j*i**3 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -x**2\/6 - 21913*x\/3 - 73035\/2 = 0.\nAnswer: -43821, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 40.91 - 39.91. Which is the closest to o? (a) 5\/2 (b) 2 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 0.5, -42, -13, -0.12 in descending order.\nAnswer: 0.5, -0.12, -1\/3, -13, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 7.7911 = -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 94, 120, 112, 70, -6?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 2) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 742 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3737894*r**2 + 3222572?\nAnswer: 7475788*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 6*z**3 + 3*z**2 - 2*z + 17. Let t be k(5). Suppose 4*h - t = -g, -2*h - 3*h + 1040 = g. Let q = -139 + h. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 253041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13934904 to the nearest integer?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.2 and 7.131.\nAnswer: 7.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*f = -47 + 11. Let v be 7 - (3\/(-2) - 22\/f). Differentiate -498*k + 12 - 10*k**v + 498*k with respect to k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 15*s - 240. Solve -3*c + 0 = s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -50844 divided by -3\nAnswer: 16948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - ((1 - -1) + 42 + -37 + (18 - -29))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2633*z = -4*c + 2636*z - 1, 2*c - 22 = -6*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -125 or -1.748?\nAnswer: -1.748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/110 and 97\/8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 35a363 + 14?\nAnswer: 35a377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48*y**2 - 1 + 6 - 7*y + 6*y + 0.\nAnswer: -48*y**2 - y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 63.21 - 9750766609.\nAnswer: -9750766545.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ipiiiipppippipii. Give prob of sequence iii.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + -1110100101111101111?\nAnswer: -1110100101111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v + 3 - 3 + 92879*v**2 + 0.\nAnswer: 92879*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the third derivative of u**4\/12 + 5*u**3\/3 - 178*u**2 + 3*u. Calculate m(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of 1\/42*t**7 + 0 + 7\/120*t**6 - 1\/3*t**3 + 0*t - 2*t**2 - 1\/20*t**5 - 7\/24*t**4. Factor i(j).\nAnswer: (j - 1)*(j + 1)**2*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11994489 is divided by 571165.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -511593115\/8 or -63949139?\nAnswer: -511593115\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -188*b**2 - 19 - 20 + 39 - 4*b + 47*b.\nAnswer: -188*b**2 + 43*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1330 + -12?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 303 is divided by 156?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/21*18\/12\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -311 + 629. Let p = u + -318. Factor 0*y - 1\/4*y**3 - 1\/4*y**4 + 0 + p*y**2.\nAnswer: -y**3*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01 in 0.2, 1.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 11546 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of -s**4 + 4*s**3\/3 - s**2 + 7*s - 380. Let t(m) = -17*m**3 + 17*m**2 - 9*m + 28. Calculate -9*g(b) + 2*t(b).\nAnswer: 2*b**3 - 2*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 + 25. Let f = i + -11. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 189353, 378806, 568259, 757712, 947165?\n\"Answer: 189453*g - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**3 - 37*r**2 - 260*r + 88. Let o be z(43). Solve -2*s - o*p = 2, -4*p = -4*s + 21 - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 193, 247, -1, -719, -2075, -4237?\nAnswer: -7373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 5*j - 2*j, -4*n + 44 = -j. Suppose -3*q = 9, n*y - 5*y = -2*q + 49. Let k = -7 + y. Solve k*s + 15 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (142255\/(-10))\/(-3*8\/48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2 + v - 1. Let o(j) = 12*j**2 - 20*j + 20. What is 80*d(f) + 4*o(f)?\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 17*z - 51, 0 = 400*d - 203*d - 200*d + 4*z + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -4.423073 rounded to one dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 186 is divided by 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -443052 divided by -7146?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3410543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -112 - 2424345?\nAnswer: -2424501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -23307, -21232, -17773, -12930, -6703, 908?\n\"Answer: 692*i**2 - i - 23998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -37a (base 13) in base 11?\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 61 = -3*i, 2*i - 9 = 2*r + 25. Suppose n = 3*t - 23, 6*n - 2*t = 2*n - 42. Does 10 divide (-316)\/r - 2\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -29.1 + 28.9. Is 0.099 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/66*612\/(-2108)*31.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**2 + 5*x - 4. Let p(a) = a. Let l(g) = b(g) - p(g). Factor l(i).\nAnswer: -(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a0 - -8494e?\nAnswer: 849ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30815 is divided by 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 407682 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -8 times 18408\nAnswer: -147264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 117.9 - 152.87. What is l rounded to 0 dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z - 1. Let j(p) = -5*p - 5. Let u(f) = -4*h(f) + j(f). Let b(m) = -m**2 + 4*m + 4. Let w(s) = b(s) + 4*u(s). Let k(q) = -23*q**2. What is w(k(y))?\nAnswer: -529*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 8, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/f**(-11)*f*f)\/((f\/f**(-3)*f)\/f))**39)**44 assuming f is positive.\nAnswer: f**17160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 447095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -97236319\/84 - -1157671. Let d = -1209\/14 + y. Let x = -2536 + 15253\/6. Calculate the common denominator of d and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 476406 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 466 + 121674?\nAnswer: 122362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1948743419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2547*n - 3 + 2365*n + 210*n + 3.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 108 = -5*b, 0*c + c = b - 28. Suppose -s - 2 = 0, -5*d = -2*d + 2*s - 56. Let g = b - d. Solve 5*p - 6 = -z, -z = -g*p - 3*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b + b - b)*(-5 - 1 + 4)*(-2*b**3 + 0 + 0) - 14*b + 7*b**4 + 14*b.\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 1093*h**2 + 1210*h**2 + 1087*h**2 - 3392*h**2.\nAnswer: -2*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3\/5 - 56531*f**2\/5 - 101774*f + 113080.\nAnswer: (f - 56540)*(f - 1)*(f + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 4 = 2*v - 21, -18 = -3*v + 5*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 5*g = -6*c + 679, -3*c + 4*g + 486 = 0. Let m = -151 + c. Calculate the highest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12868734.\nAnswer: 2, 3, 2144789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2652 - -2656. Solve 2*a - 4*j - 12 = 0, -b*a + 2*j = -6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16188670.\nAnswer: 2, 5, 29, 55823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 + 8*m**2 - 3*m - 7. Let j(t) = t**3 - 7*t**2 + 2*t + 6. Let a = 11 - 16. Let w(c) = a*j(c) - 4*y(c). Determine w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*u + 1 - 2*u + u)*(122*u + 15*u - 21*u) to b + n*u**2 + r*u and give n.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 1290 = -0. Let n = 241624 + -241629. Sort r, n, 0 in increasing order.\nAnswer: r, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12169624 divided by 1336.\nAnswer: -9109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*c**5 + 74 - c**4 + 560*c + 32*c**3 - c**4 - 42 + 64 + 184*c**3 + 624*c**2.\nAnswer: -(c - 6)*(c + 2)**3*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 17862504*r + 5527890 wrt r?\nAnswer: 17862504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 47*y**3 + 5*y**2 - y + 8. Let d(t) = -16*t**3 - 2*t**2 - 3. What is 8*d(f) + 3*h(f)?\nAnswer: 13*f**3 - f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 7*h**2 - 7. Let j(l) = 665634*l. Determine i(j(n)).\nAnswer: 3101480353692*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be (92\/(-8))\/((-2)\/52). Let a = t - 214. What is the greatest common divisor of a and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 + 4*w + 1. Let b be l(-4). Let h be -6*-1*4\/(-8). Let i = h - b. Solve -4*q + 7 = -5*d + i, 5*q = -2*d - 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20\/((-960)\/(-36)))\/((-1)\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -4*i + 1. Let z(u) = 5*u - 1. Suppose 2*t = 5*t + 6, -2*b - 5*t - 4 = 0. Determine b*j(w) + 2*z(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*j**2 + 4*j + 3513935*j**3 - 4*j - 3513951*j**3 + 2*j**2.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(2\/9)*d)\/d*d)\/(d*d**(-10)))\/(d**(3\/2)*d**(-5)) assuming d is positive.\nAnswer: d**(247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 + 12 + 5*u)*(-u - u + 0*u + (2*u - u + 3*u)*(5 - 8 + 4)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/9))**(-3\/2)\/(o**(1\/5)*o*((o\/(o*o**(-8)*o))\/o)\/o) assuming o is positive.\nAnswer: o**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -6*(-8)\/8*(-6)\/(-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(44)\/sqrt(11))\/sqrt(2) + sqrt(2) + 1 + sqrt(6)\/sqrt(3))**2*1.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 237 or 233?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = 18*m - 85. Suppose -276 = -2*p + 3*x, -5*p - m*x + 677 = -8*x. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.039 + 8.239. Let u = a + -8. What is the second smallest value in -2\/17, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10303 + 11?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 21 take away 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3 > 367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pbi when three letters picked without replacement from {i: 1, p: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 37 + 91 = 0. Let i = 119 + n. Suppose 3*p - i = -4*h, 0*p - 3 = p - 4*h. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 162407483 minus -72?\nAnswer: 162407555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2652 is divided by 349.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 10024*u**2 + 6388*u**2 + 7782*u**2 + 2396*u**2 - 1172*u**2 as k*u + z*u**2 + h and give z.\nAnswer: 25418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -1\/15 (c) -2\/173 (d) -3\/4 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 60.39419l?\nAnswer: 60394.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 646819356.\nAnswer: 2, 3, 19, 61, 46507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the third derivative of 0 + 7\/24*p**4 + 7\/60*p**5 + 4\/3*p**3 - p**2 + 0*p - 1\/120*p**6. Let z be s(8). Solve z*i = -i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -3\/5 (b) -1 (c) 0.5 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2914 in -11, 5, -14, 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 31822450793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -15*c - 37 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 - 2*u**2 + 2 + 14)*(1 + 2 - 5) - u + 10*u**2 - 2*u**2 - 9*u**2.\nAnswer: 3*u**2 - u - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and -287.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 17*c**2 - c + 1. Let k(s) = -6*s**2. Let b(d) = 11*k(d) + 4*p(d). Let u(a) = 1 - 35*a - 40*a - 35*a + 109*a. Calculate -b(f) + 2*u(f).\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -670, 0, -3, -11, -18, -5 in descending order.\nAnswer: 0, -3, -5, -11, -18, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 17*b**2 + 69*b - 101. Let d(a) = 8*a**2 + 34*a - 55. Determine -11*d(o) + 6*k(o).\nAnswer: 14*o**2 + 40*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - -291. Let z = v + -33. Does 51 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13619 is divided by (76\/14 + -6)*(-973)\/2?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0023121899 rounded to six dps?\nAnswer: 0.002312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 5 + 2 + 3222*h - 3226*h. Let w(r) = -r + 1. Calculate 5*w(n) - x(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/8)\/(1\/2). Let x(j) = 9*j + 4*j**3 + j - 8*j - 2*j**2 - s. Calculate x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -107.792 to the nearest integer.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 33749 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of -p**8\/14 - 13*p**5\/10 - p**4\/12 + p**3\/3 + 179*p**2\/2 + 3034*p. Find the third derivative of b(n) wrt n.\nAnswer: -480*n**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3111)\/(-136) - (-2)\/16. What is the third derivative of -9*s + r*s**2 + s + 8*s - s**3 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8491 - -8556. Calculate the highest common factor of 1937 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5\/3, -0.4, 56619?\nAnswer: 56619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 40207a (base 14) in base 7?\nAnswer: 24222213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 383 divide 2285744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 1468148 by -17.\nAnswer: -1468148\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -29, -1159, 3, -3, 1 in decreasing order.\nAnswer: 4, 3, 1, -3, -29, -1159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*i = -14*i - i + 3*i. Solve i = -v, -f + 2*v + 0 = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 205*d = -204*d + 56, -5*d = -5*w + 55 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10117 divided by -3.\nAnswer: 10117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 2*z**2 + 12*z - 83. Let l be o(-15). Let u = -172 + l. What is the highest common divisor of 21 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -3*b**2 - 11*b + 91. Determine f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1259126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hya when three letters picked without replacement from {a: 12, h: 2, y: 2, n: 1, w: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -2*x**3 + 4*x**2 + x - 1. Let c(w) = -w**3 - w**2 + w + 5. Let k be c(0). Suppose -5*j - 4*y = -3*j + 6, 2*j + 9 = -k*y. Determine n(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 2915345.\nAnswer: 4\/2915345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1861 divided by -121?\nAnswer: -1861\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 25 + 34 = 0. List the prime factors of (-37035)\/(-27) - (-3)\/c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**5\/5 - 831*a**4\/5 + 58782*a**3\/5 - 34278*a**2 + 169743*a\/5 - 56307\/5.\nAnswer: 3*(a - 137)**2*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*k**4 - k**4 + 4*k**4)*(-1 + 4 - 4) + 2*k**4 + k**4 - 2*k**4 - 692*k**3 + 17*k**4 + 692*k**3.\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -37*v - 155. Is 108 a factor of -1 + (v - -4 - -1082)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 66792338 to the power of 1\/2, to the nearest integer?\nAnswer: 8173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2 + 9560178*t + 9560179.\nAnswer: -(t - 9560179)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 2*j**2 + 47*j + 10. Let f be u(-20). Let p be 18\/10*f\/(-1092). Let a = -1 + 1. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -39 + 31 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15813 + -15813.4. What is the third biggest value in 0.184, a, -0.01, -4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3 - (-1 - -4))*1 - -42. Suppose x = -5*w + m, 2 = 2*w - x - 12. Suppose -3*z = 2*y - 134, -w*y + 2*z = -12*y + 260. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**1*m**5*m**(-6)\/m*m*m\/(m*m**3)*m)\/((m\/(m**(-3)*m)*m*m**(2\/9)\/m)\/(m**(2\/5)*m)**(-1\/6)) assuming m is positive.\nAnswer: m**(-401\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 92, 97, 106, 119?\n\"Answer: 2*s**2 - s + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:54 AM and 1:52 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l + 4 + 26. Let h be -1 - 5\/(l\/(-81)). Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*p + 2 + 82. Let a be (-1)\/(1\/44*p). Solve 2*n = -5*b + 3*n, -4*b + a = -3*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oobm. Give prob of picking 1 b and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.067 + 0.067. Let w = 1741 - 33103\/19. Let d = w + 226\/209. Which is the second biggest value? (a) k (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (20\/(-40))\/(2\/4). Let f be -1 + (-7)\/(-2)*2. Suppose 2*y + f = -y. Is a at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 744979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 204.28 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -102 + 246. Suppose -4*s + 5*d = -184, 0 = 4*s + d + 4*d - f. Let a(v) = -v + 43. What is the remainder when s is divided by a(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -154468 * -395\nAnswer: 61014860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -4*y - 12, 2*i + 33 = -y + 39. Factor -1\/2*u**3 - 1\/2*u**2 + u + y.\nAnswer: -u*(u - 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i + 0*i - 3*i)*(3 + 2 - 3) + 22*i - 15*i - 71*i.\nAnswer: -70*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 301246, 301260, 301274?\nAnswer: 301288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 14, -727795.\nAnswer: -727795, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 1073*i**2 + 2165*i + 26. What is a(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/(-12))\/((90\/(-960))\/(3\/(-12)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1385773209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 3 - 3)*(u + 3*u - 5*u) - 4*u + u + 4*u)*(u - 4*u**2 - u) + (-5*u + 2*u + 2*u)*(-6 - 4*u**2 + 6).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (9 - (-2 + 16)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {a: 2, t: 2, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 74.00000093 - 74. What is h rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 284 = 4*z, 5*z - 3*d - 160 - 168 = 0. Let w be (-6 - 2) + (-950)\/(-38). What is the highest common factor of w and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2 - 11*z + 152.\nAnswer: -(z - 8)*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4049230?\nAnswer: 2, 5, 17, 23819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 - 17*d**2 - 59*d + 22. Let f be g(20). Calculate the highest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 47208.5291 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 137868284?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 5, -1759, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6519 is divided by 1303.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 8*c = 3*c + 587, -4*v = -5*c - 771. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -335011 or -335082?\nAnswer: -335011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 426*q**3 + 96*q**3 + 504*q**3 - 256*q**3 + 110*q**3.\nAnswer: 880*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -17*p**2 + 405606 - 405606. Let g(l) = 2*l + 5. Give g(y(m)).\nAnswer: -34*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = -r - 3, -2*r - 17 = -11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*j + 3 = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (20812\/1694 + (-8 - -4) + -8)*(-7)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 4*q**3 + 3*q**2 - 3*q - 132. Let p(w) = w**3 + w**2 - w - 5. Give -f(j) + 3*p(j).\nAnswer: -j**3 + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 834087167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together 56712 and 32.\nAnswer: 56744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -10000101100010110 (base 2) in base 5?\nAnswer: -4141444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5)\/4 + 76\/304. Which is the closest to i? (a) 1\/4 (b) 1 (c) 7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 + r - 4. Let i(m) = -m**2 + m - 6. Let q(t) = 2*i(t) - 3*o(t). Let x(z) = 2*z**3 + 6*z**2 - 3*z. What is 6*q(u) - x(u)?\nAnswer: -2*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -374*i + 469*i = -665 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 767 - 0.7059161929\nAnswer: 766.2940838071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19191 - 16626. What is the lowest common multiple of n and 27?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33612 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 1:05 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 2381541732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of 857*l**4\/4 + 369*l**3 - 257. Find the third derivative of p(j) wrt j.\nAnswer: 5142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2 (b) 4 (c) -6\/11 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -562 + 2109833466717\nAnswer: 2109833466155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-22))\/(130\/(-11700)*-30).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 21*c**2 - 5*c + 2. Let l be x(-2). Let k be 1*(7 - 11) + (l - -1). Does 93 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8973*g - 17934*g + 8965*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the second derivative of -p**5\/20 - 2*p**4\/3 - 3*p**3\/2 - 7*p**2\/2 + 2*p. Let x be l(-7). Solve 5*f = 3*j - 29, 2*f + x = -j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzhhz. Give prob of sequence zzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6\/8)\/(24\/3488). Suppose 2*i - s = 3*m, -i - m = 2*m - 77. Calculate the remainder when i is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 7b83a (base 12) to base 7\nAnswer: 1256044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -8. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/3040 and (36900\/5248)\/(3\/(-2) + 0).\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**(1\/3))**30\/(m**(-2\/5))**(1\/8))**19)**(-10\/13) assuming m is positive.\nAnswer: m**(-3819\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 76138270 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {k: 8, s: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = d, -3*h + 3*d - 369 = -0*h. Let q = h + 69. Let j be (q\/8)\/(1\/(-2)). Solve 3*v + 9*p = 4*p + j, 0 = -2*v + 2*p - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 7, n: 2, f: 2}. Give prob of picking 1 x and 2 f.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 91596 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 159*t - 10. Let h(y) = -y. Calculate h(r(g)).\nAnswer: -159*g + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 + 5*y**2 + 5*y - 4. Let a be z(5). Let v = a - 6. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 15*x**2 + 70*x - 10. Let d(u) = u - 1. Let q(b) = -30*d(b) + l(b). Suppose q(y) = 0. What is y?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 1.13 and -1625.131.\nAnswer: -1624.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be 66*(-8)\/(-112) + (-6)\/(-21). Suppose -5*z = i*p - 145, 0 = -p + z + 3 + 36. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2080819 is divided by 1909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 41328210 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 144*s + 92*s - 107*s + 8 to the form b*s + f and give b.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-4)\/(-6) + (-746)\/(-6) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 8\/(-6) + 6043\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 355 divide 7589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 14*r + 23. Let j be u(5). Let y = 31 + j. Calculate the greatest common divisor of y and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 2, g: 2, z: 6, k: 2, q: 3}. Give prob of sequence qikq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -4*x**5 - 1516*x**4 - 99288*x**3 - 1184560*x**2 + 52167968*x + 1084790400 = 0.\nAnswer: -300, -34, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -10*q**2 + q**4 + 20*q + q**4 - 6*q + 2 - 15*q as o + x*q**2 + j*q**3 + u*q + w*q**4 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 0*a + 4*j = 0, -3*a = -3*j - 24. Suppose a*z - 1676 = 3*m - 6*m, -m - 419 = -z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 0.4 (c) 5 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5887258.\nAnswer: 2, 13, 226433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -673 + 2657\/4. What is the common denominator of 5\/2496 and b?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 8 = 5*w + 4*r, 3*r = -w - 8. What is the units digit of w + 55 - (5 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 89\/6 (b) 3 (c) 49 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 259 - -624. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -11, 0.5, 0.2, -0.16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -983 divided by 3512?\nAnswer: -983\/3512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -33958, -34017, -34070, -34117?\n\"Answer: 3*b**2 - 68*b - 33893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gxggxxxxxxwgg. Give prob of picking 2 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -53*q + 53*q + 4*q**3 + (8*q - 11*q - 13*q)*(21*q**2 - 3*q**2 + q**2).\nAnswer: -300*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*c - 5. Let r(m) = -4*m**3 - m**2 + 2*m - 1. Let p be r(c). Let y be 188001\/p + 7\/28. What is y rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(720) - (sqrt(720) - sqrt(720)*2*-1)) + -3 + -1 + sqrt(720) + -1 + sqrt(720) + 1)**2 + 5 + -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -20 - (-12 + (16 - 8))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 638*r - 2*x + 1 = 639*r, -2*r - 27 = -4*r - 9*x for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 30361? (a) -2 (b) -0.3 (c) 3\/4 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-120)\/(-4)*15\/(-6). Let l be (-10)\/(-2)*(-30)\/s. Solve -12 = -5*t + l*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3325138 is divided by 9367?\nAnswer: 9220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 59.9 (b) 9\/4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -452*m - 331994 - 2\/13*m**2.\nAnswer: -2*(m + 1469)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5778 and 2754.\nAnswer: 294678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of -4*n**5 - 28*n**2 + 2*n + 10. Differentiate x(c) wrt c.\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*i = -49*i + 32. Let o be 24\/27*(-12)\/i. Let c = -89\/3 - -30. What is the nearest to 2 in o, 0.4, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + 161 + 51. Let k = -35 - w. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 105\/(-30)*27\/(-126)*4\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of 0*c**2 + 4*c**3 - 3\/4*c**4 + 1 + 0*c. Factor a(s).\nAnswer: -3*s**2*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 906995172 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 66631542 times 5\nAnswer: 333157710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18*(-42)\/(-336)*20\/(-75).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13 - -15. Let q(p) = 10*p**3 + p**2 + 11. Let a(l) = 2*l**3 + 2. Give w*q(b) - 11*a(b).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -576242448*o - 505997887 wrt o?\nAnswer: -576242448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -28 - -183. Suppose -5*v = 2*z - v - 180, v = 4*z - 324. Suppose -3*p + 28 = -4*k - z, l = 4*p + 3*k. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 + 16*h**2 - 14*h + 6. Let c(f) = -f**2 + f. Let j(x) = -6*c(x) - g(x). Let s = 12 - 23. Is j(s) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -4*q**2 - 4*q + 8. Let l(a) = 5*a**2 + 5*a - 9. Let u(n) = 5*l(n) + 6*y(n). Let x = 86554 - 86557. Give u(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express f**3 - 2 - 25*f**2 + 29*f**2 + 2 as d + j*f**2 + b*f + g*f**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 58*a**2 - 149*a + 16. Give m(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 3 = s. Suppose -k - 14 = 4*z + 2*k, -s*z + 2*k = 6. Let l(r) = -4*r**3 + r**2 + 2*r - 1. Is l(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23084, 23116, 23158, 23204, 23248, 23284, 23306?\nAnswer: 23308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-100*v + 45*v - 175*v)*(2*v + v - 5*v).\nAnswer: 460*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 6, -k - 4 = -b - 1. Solve 4*q = -b*v, -5*v + q + 0*q = -25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-65)\/(-650) + (-2)\/(-20). Which is the nearest to 1? (a) -0.02 (b) x (c) -2\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9884*o - 9756*o + 5504 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/10 + 3\/5. Is b less than or equal to 14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (112\/98)\/((-10)\/(-1505)) is divided by 65?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/504 and -37\/4460792?\nAnswer: 40147128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 715 divided by -55\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11*a*h*y**3 - 64444*a*h*y**2 - 199384*a*h*y + 24*a*y - y**3 - 1 wrt y?\nAnswer: 66*a*h*y - 128888*a*h - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 1477 = 4*s, -3*x + 3*s + 5683 - 1222 = 0. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3388 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -97*h - 878. Give s(-10).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*(i**0\/i)\/i)**(3\/8)\/(i**13*i*i**(-9)*i))**1 assuming i is positive.\nAnswer: i**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(2*sqrt(88) + sqrt(88) - sqrt(88)) + (sqrt(88) - 2*-2*sqrt(88)))*1)\/(-5*sqrt(288)*-2*-4).\nAnswer: sqrt(11)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8584835 and 2673965.\nAnswer: 163111865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 177 + -175. Let v be ((-3)\/12)\/((-15)\/(-40)). Which is the nearest to -0.05? (a) v (b) 1\/8 (c) y (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x. Suppose -2*k = -4*k - 4. Let g be l(k). Solve -g*b + 1 = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 - ((-10)\/4 - 19\/(-38)). Suppose 0 = 3*s + x*i - 44, -9*s + 12 = -8*s + 2*i. What is the greatest common factor of s and 680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103 = 14*z + 33. Suppose -30 = -5*v - z*r, -5*v + 2*r + r + 30 = 0. Suppose v*p + 88 = 430. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 96*k**3 - 22*k + 63. Is u(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 27\/2, -197, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dbdbwbgbj. What is prob of picking 1 d, 2 b, and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 60, 186, 266, 192, -144, -850, -2034, -3804?\nAnswer: -6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*j + 8*j - 853 + 853 + 0*j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 988423899?\nAnswer: 3, 329474633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 789 or 724?\nAnswer: 724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 6 + 182 = 0. Let t = 147 + w. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -36b3 - -4?\nAnswer: -36ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -220 - -222?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + 206\/80 - 15\/40. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(-2) + (-468)\/(-369). Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 3*l = -21, -5*l + 125 = 6*a - a. What is the remainder when 579\/18 + (-4)\/a is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of w**8\/672 - 17*w**7\/1260 + 7*w**6\/720 + 17*w**5\/360 - 5*w**4\/72 - 128*w**2. Suppose q(p) = 0. Calculate p.\nAnswer: -1, 0, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -8c (base 15) to base 10.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 - 3*y**2 + 4*y + 6. Let s be p(-4). Let v be (2\/4)\/(2\/8). Solve g = -v*g + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (19*u + 10*u + 0*u)*(-3 + 2 + 3)*((-1 + 4 - 1)*(15 + 4 - 3) + 4 - 6 + 1)*(4*u - 3*u - 2*u).\nAnswer: -1798*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 7019597.7 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3723019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/4*-11*(-18)\/99?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jininjinjijiii. Give prob of sequence ijjn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 4*v**2 - 2*v + 1. Let c be n(1). Suppose -11 = -x - c. Let t = x - -5. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5.3 + 8.79. Let j = 3.8 - v. Let k = j - -0.1. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 1452361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - m**2 + 0)*(-2*m + 2*m + m)*(-95*m - 48*m + 94*m) to the form c*m**2 + k*m**4 + f*m + x + s*m**3 and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/731 or -1?\nAnswer: 2\/731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -11*p**3 + 3*p**2 + 2*p - 1. Let b(f) = -28*f**3 + 11*f**2 + 6*f - 4. Calculate -3*b(u) + 8*t(u).\nAnswer: -4*u**3 - 9*u**2 - 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-2) + 56\/16. Let i(h) = -h + 1. Let a(z) = -2*z. Let s(v) = a(v) - 3*i(v). What is s(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the first derivative of -111 + 34\/3*h**3 + 0*h - 57\/2*h**2. What is the second derivative of i(v) wrt v?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -6 - 3861*x + 7693*x - 3827*x - 2*x**2. Suppose 0*f + 5*f = 25. Let y(z) = z**2 - 4*z + 5. Give f*y(s) + 4*m(s).\nAnswer: -3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 4 - 5)*(4*z**2 - z**2 - 4*z**2) + 259*z + 4512*z**2 - 2256*z**2 - 2257*z**2.\nAnswer: 6*z**2 + 259*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4745?\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1109 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 5\/16281483?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let y = 161 - 103. Suppose y = 3*a - 5*j, -a - 2*a = -2*j - 52. Solve 0 = n - 6*n + z - a, z = -n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 658935 is divided by 49.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 268*n - 385. Does 71 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 3 = 1. Let d(s) = -8*s + 3. Let c(z) = 9*z - 3. Let k(x) = -6*c(x) - 7*d(x). Let n be k(4). Solve w*o = o - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 + (-12)\/(-3))*2. What is the tens digit of 51 - (14\/(-4) - (-6)\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -211 + 232 = 7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - ad4?\nAnswer: -ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 0 = l. Solve 0 = -7*w + 2*w - l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 - 25 = -q. Suppose -48 = -q*y + y. Let b(z) = -1412*z - 8. Let o be b(y). Round o to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000085505027 to seven decimal places.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.077625367 rounded to 4 decimal places?\nAnswer: 0.0776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 11 - 13)*(0 + 3 - 6)*(13*c**4 + 3*c**2 - 3*c**2) - 4*c + 4*c**4 + 4*c + c**2 in the form q*c**4 + b*c**3 + p*c**2 + h + i*c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-51)\/4 + 12)*4\/3. Suppose 0 = u - 3*u + 5*o + 17, -2*u = -3*o - 11. Which is the closest to k? (a) 3\/2 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {e: 5, w: 2, h: 1, z: 3, d: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (6 - (-3 + 12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 12*z**2 - z + 20. Calculate the remainder when 59 is divided by b(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 - h - 10. Let j(c) = c**3 + 3*c**2 + 4*c + 4. Suppose 2*d = 7*d + 5. Let o be 6\/(-8) + (-20)\/(-16)*d. Let y be j(o). Calculate g(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**3 - l**2 - l - 2. Let z be y(0). Let h be z\/(-2) + -2 - -3. Suppose -64 = -h*m - 20. Solve 2*f - m = 4*g - 0*g, -23 = g - 4*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppkp when four letters picked without replacement from ppppkkkkkkkkkkpppppp.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -128\/5 (b) -0.2 (c) 4 (d) -3 (e) 7 (f) -3505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -32629 - -32661. Let r(f) = -2*f**3 - 7*f**2 - 3*f + 6. Let d be r(-5). Calculate the highest common factor of j and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 289*t**3 - 11*t - 10550 wrt t?\nAnswer: 867*t**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 AM and 10:52 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 170 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1 and -0.909.\nAnswer: -0.0909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 30 - 18. Let o = y + -1. Let m = o + 1. Calculate the lowest common multiple of m and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/78)\/(8\/(-52)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.7200968 - 1.72. What is l rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**2 + 14*a - 40. Let p be i(9). Solve -x + p*x - 4*o = -4, -x + 2*o = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, p: 6, a: 3, b: 8, f: 1}. What is prob of sequence aw?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 11752 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -5*n**2 - 6*n - 4. Let w(v) = 6*v**2 + 7*v + 6. Let s(h) = -5*p(h) - 4*w(h). Let y(i) = i**2 + 3*i - 7. Let j = 6 + -2. Determine j*y(f) - 7*s(f).\nAnswer: -3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 588333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:57 PM and 11:35 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fse when three letters picked without replacement from {x: 2, s: 2, e: 7, f: 8}.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**2 + 0*h**2 - 991420 + 991420. Let b(z) = -9*z. Let c(n) = 3*n. Let r(s) = 3*b(s) + 8*c(s). Calculate r(k(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 7.03882 to two dps.\nAnswer: 7.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n + 29. Calculate d(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -21 - -43\/2. Let l be (2\/6)\/(3\/(-15)). Sort o, l, 1\/6 in descending order.\nAnswer: o, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 86610090 and 17322018?\nAnswer: 86610090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 16) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dmbgjam. Give prob of sequence jdb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1824)\/(-112))\/(-19)*-14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 less than -312742668671?\nAnswer: -312742668666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 8*k**2 - 166*k - 49. Give p(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-29\/2)\/a**3 assuming a is positive.\nAnswer: a**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1098 and 488?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3591*c**2 + 909*c**2 + 903*c**2 + 900*c**2 + 903*c**2.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 16) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 924312 at least as big as 924312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -7*y**3 - 516*y**2 + 128*y - 1113. Determine k(-74).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4\/3, 2227, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -492 (base 10) in base 6?\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 50 - 71. Let g = -19 - d. Which is the nearest to -2\/3? (a) -0.5 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -5 + 8*u**2 + 2*u**3 - u**3 + 8 + 5*u. Let x = -12 + 5. What is the tens digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2671.\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of -4277*w**4\/4 - w**3\/3 - 49*w**2\/2 + 3*w - 3982. What is the second derivative of d(p) wrt p?\nAnswer: -25662*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/40))**(5\/13) assuming b is positive.\nAnswer: b**(-1\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2922453 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 40, 21, 22, 43, 84?\n\"Answer: 10*m**2 - 49*m + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*((sqrt(65) - (sqrt(65) + sqrt(65)*-1*1))\/sqrt(5) + 3 + -2*(2 + sqrt(832) + -3)))**2.\nAnswer: -600*sqrt(13) + 11800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes before 4:03 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 12*y + 3. Let c be q(1). Suppose 11*u = c*u - 104. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 1 v when three letters picked without replacement from {k: 2, g: 2, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13013\/8 + -1624. Calculate the common denominator of 31\/233 and m.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -309 - -326. Suppose -5*s + 457 + 31 = 3*d, 408 = 4*s - 2*d. What is the remainder when s is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and 49300?\nAnswer: 147900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -128 + 62 + 102*t + 67 to u*t + f and give u.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, 10, 1, 0 in ascending order.\nAnswer: -2, 0, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -258*a - 100 - 63*a**2 - 189*a**3 + 186*a**3 - 188.\nAnswer: -3*(a + 2)*(a + 3)*(a + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from awpms?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + w - 2*w)*(21*w**2 - 145*w**2 - 269*w**2).\nAnswer: 786*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be 12\/96*-3 - (-10)\/4. Let c = 43\/24 - f. What is the nearest to c in 1, -2\/7, -2\/3, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {r: 4, q: 14}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 30088.\nAnswer: 1\/15044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 34334 (base 6) in base 10?\nAnswer: 4882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + 27 + -34 + -13 + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 112468?\nAnswer: 2, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**3 - 10*s**3 + 7*s**3 - 15*s**2 + 19 - 3*s. Is o(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -14. Solve 0 = 3*n + 2 - l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2677, 5320, 7971, 10630, 13297, 15972, 18655?\n\"Answer: 4*i**2 + 2631*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13\/3 - 3)\/((-72)\/(-19 - -1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*g - 6*g + g**4 + 9*g + 2*g**3 - 4 - 6*g in the form b*g + v*g**3 + z*g**2 + h*g**4 + y and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (291*p - 291*p + 49 - p**2)*(-74 + 74 - 2*p) as i*p**2 + j*p**3 + w*p + d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -14279400 divided by -571176?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 9*j + 15 = 6*j, t - 3*j - 11 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -80*(-181)\/28960*8\/(-190)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -2\/236587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 500*i + 17 = 483*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 114443422 + 1?\nAnswer: 114443423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 12430316 (base 8) to base 6\nAnswer: 135132542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -445 = 5*m - 2*l - 444, -4*m - 2*l + 10 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = q - 540, q + 3*q = 0. Let i = p - 112. Suppose 0 = 4*n + 4*r - 68, n - 5*r - i = -3*n. Calculate the remainder when 33 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 3 (c) 61\/5 (d) -2\/7 (e) -2 (f) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 320008*l**5 + 72*l**2 + 1025?\nAnswer: 19200480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -3 (b) 4\/5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65*t + 653 = 523. Let f(z) be the first derivative of -9\/16*z**4 + 9\/4*z - 15\/8*z**t - 11\/4*z**3 + 8. Solve f(u) = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.4, 5, -42.625, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -9\/2 (c) 342 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 AM and 5:52 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1502*a**2*o*p**4 - 2*a**2*o + a**2*p**5 + 14*a**2*p**2 - 109*o*p**2 wrt p.\nAnswer: 36048*a**2*o*p + 60*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(108) + -3.\nAnswer: -6*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor v**4 + 4*v**3 + 3*v**2.\nAnswer: v**2*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 4*v - v. Solve -s = -4*j - 24, -3*s - 4*j - 8 + 0 = v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 142 - 134. Let h be (16\/(-15))\/b*(11 - 6). Let t = -17.93 + 18. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**3 - 14*p**2 + 39*p - 139. Calculate x(-17).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 3 - 46. Let w = 74 + o. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 - 3 - -3 - (10 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 + 12*j**2 - 13*j - 6. Let h be x(-13). Let u(g) = -199 + 12*g - 6*g**2 - g + 2*g + 212. Let d(b) = -3*b**2 + 6*b + 6. Give h*u(m) + 13*d(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3.884269 millennia in decades?\nAnswer: 388.4269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 409221559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -33 + 83. Let p = 10348\/2465 + 1\/493. Find the common denominator of b and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1523702 is divided by 1048?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1168\/(-32)*(-120)\/(-55). Is 0.1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-b - b + 4*b)*(4 - 2 - 4) + 2*b - 1 + 4 - 20 to the form n*b + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 803 (base 9) in base 15?\nAnswer: 2d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 333\/5 + -67. Let v be 55\/15 - (3 + 0 - -1). Let z = 0.021 + -0.621. What is the closest to v in j, z, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 540 and 14505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dief when four letters picked without replacement from fndddgdgfenndid.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.48119 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 42099051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 74.98 to the nearest integer.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -26 (b) 6\/13 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -665804\/45 + 14797. Calculate the common denominator of (12\/(-30))\/((-117)\/(-210)) and d.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 2:11 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -22*u. Let q(b) be the third derivative of 5*b**4\/8 + b**3\/3 - 243*b**2. Determine q(w(y)).\nAnswer: -330*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 451 = v - 3*z - 2095, 10 = 5*z. Suppose -4*l + 1676 + 844 = -3*i, 0 = -4*l - 5*i + v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (2 + (-2 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 805606 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 56 and 13252904?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*o - 11*b + 33, 0 = -3*o + 5*b + 724 - 739 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3657*i**3 - 1912*i**2 + 1912*i**2 + 7815*i**3.\nAnswer: 4158*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12057 + 434135\/36. Find the common denominator of k and 71\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -71705, -143290, -214873, -286454, -358033, -429610, -501185?\n\"Answer: t**2 - 71588*t - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2392 + 16745\/7. Put 1\/12, d, -4\/7, 2\/17, 3 in decreasing order.\nAnswer: 3, d, 2\/17, 1\/12, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 + 7*r - 7. Let b be k(3). Solve -b*v = x - 2 - 9, 0 = 4*v + x - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 2*b**2 + b - 7. Let c be u(2). Is c*((-1)\/1 + 16) - 2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.9092 - -0.0908. Let p = 12 + -8. What is the nearest to -0.1 in 2\/17, g, 3, p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 130007 - 65001 - 14*k + 20*k - 65006.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23266 - -30460. What is the highest common factor of n and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o**2 - o**2 - 6*o**2 + (4*o - o - 4*o)*(3 - 4*o - 3)*(2 - 3 - 2).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 1 - 7) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 94017829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 0*f - 3*f + 4*f - 4 + 4 + f + (2 + 1 - 1)*(-2*f - 2*f - 3*f) + (0*f - 4*f + 3*f)*(0 - 3 + 2)*(1 - 4 + 1) as c + h*f and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - 100010110110000011001010?\nAnswer: -100010110110000011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, 857, 3, 2, -1, -2.\nAnswer: -11, -2, -1, 2, 3, 857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from {r: 9, s: 11}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.079 + 0.121. Let d = -0.362 - -0.062. What is the nearest to d in f, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that 1725*y**3 - 94869*y**2 - 2587830*y - 9000 = 0.\nAnswer: -20, -2\/575, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.2 - 0.2. Let j = -17.9474 - 0.0526. Let t = 0.9929 + -0.4929. What is the fourth smallest value in 2, v, t, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5208055421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 505074 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**3 - 6*b + 4. Let w(v) = -10*v**3 + 31*v - 21. Let x be 3 - ((-2)\/(-84)*4 - 4326\/(-882)). Calculate x*w(o) - 11*z(o).\nAnswer: -2*o**3 + 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 7405 times 311.2?\nAnswer: 2304436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -2624*a**3 - 128*a**2. Let q(r) = 61*r**3 + 3*r**2. Give 128*q(h) + 3*x(h).\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*u**2*z**2 - 283687*u**2 - 884874*u*z**2 wrt z?\nAnswer: -4*u**2*z - 1769748*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -4*(sqrt(150)\/sqrt(3))**2.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/(-4)*(6 - 2). Let k be ((-4)\/m)\/(9\/135). Calculate the least common multiple of k\/8 - 182\/(-8) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23395383 to the power of 1\/2, to the nearest integer?\nAnswer: 4837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/502 (c) -6\/7 (d) 0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2476870 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2636307 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 10740, 10738, 10736, 10734, 10732, 10730?\n\"Answer: -2*j + 10742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 26*q**3 - 4. Let i(z) = -z**3 + 1. What is c(x) + 4*i(x)?\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z**3 + 8*z**3 + z**3 + (-2*z**2 - 1 + 1)*(2 - 2 + 4*z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2343 and 1236891?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -39469 - -41105. Calculate the remainder when m is divided by 77.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 PM and 11:37 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 15 = 0, 2*i + 968 - 2660 = -4*j. What are the prime factors of i?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g - 7. Let p be s(9). Suppose -4*w + 3*b = -20, 0*w + 18 = 5*w - p*b. Factor 2*d - 12*d - 38*d**w - 2*d + 30*d**2 + 4*d**3.\nAnswer: 4*d*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + 25255?\nAnswer: 25252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - 10200?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, o: 5}. Give prob of sequence xo.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.16 - 1.84. What is the nearest to l in 2, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 10*d**3 - 46*d**2 - 296*d + 4. Let w(f) = 28*f**3 - 140*f**2 - 876*f + 11. Let m(k) = -11*v(k) + 4*w(k). Find y such that m(y) = 0.\nAnswer: -4, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*l - 75. Let d = 32 - l. Suppose -d - 31 = -5*a. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1453 and -2972.4.\nAnswer: 4318897.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 131\/6 and (-786)\/12*1\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the first derivative of p**3\/3 - 9*p**2\/2 - 28*p - 1. Let w be d(12). Does 11 divide (-2 - w)*13\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4869 or -12525?\nAnswer: 4869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v**2 + 11*v**2 + 5*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7497, 60839, 205521, 487179, 951449, 1643967?\nAnswer: 2610369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, -3\/10, -38571 in descending order.\nAnswer: 21, -3\/10, -38571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 15, 1, 453\/76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 + 120*o**2 - 3870*o - 35531. Calculate p(-145).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 109 + -101. Suppose 0 = 22*a - 16*a - 42. Suppose 37 = 4*q - 5*r, a*q + 3*r = 2*q. Solve 7*w + o = q*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 123\/((12\/(-4) - -2)\/1). Let s = -105 - b. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22, -21, -12, 5, 30?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1190, -17704, -62528, -149816, -293722, -508400, -808004, -1206688?\nAnswer: -1718606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -1\/2, 0.1, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 5 (b) 5\/3 (c) -170 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91 = 4*p - r + 87, -5*r + 14 = -3*p. Suppose 2*g + 6 = -4*u, -g - u - 9 = -p*g. Solve 21 = -g*n - w, 4*n + w = -w - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 296750033?\nAnswer: 7213, 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*d**3*r + 13741*d**3 + d**2*r + 6*d**2 - 43*d*r + 2*d - 581*r - 3 wrt d.\nAnswer: -42*d*r + 82446*d + 2*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 + 20. Let u be -5*(i - (-14)\/(-5)). Suppose -u*o + 35 = 3*z, 0*z = 3*o + z - 20. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23\/20 - 3\/4. Which is the nearest to 0.2? (a) m (b) -1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/4*i**3 + 0 - 3\/2*i**2 + 3\/8*i**4 - 3*i.\nAnswer: 3*i*(i - 2)*(i + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1363.7 - -793.7. Put -2, c, -1\/5 in decreasing order.\nAnswer: -1\/5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k**2 + 393*k + 19299. Determine u(-96).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**3 + 4*a**2 + 7*a - 2. Let g be m(5). Let i be 7\/2 - 3\/(-6). Suppose i*r - 8*r = -g. Solve 0*y - 2*y - 6 = -r*j, j = -2*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -11*q - 77. Let b be z(-19). What is the greatest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - -2 - (-3 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v. Suppose 3*m = -u + 11 + 13, -u = -3*m + 6. What is j(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -130676 + 130689 - 19*d + 14*d - 2*d**2. Determine a(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -2*f. Let a(c) = -4*c + 1. Let b(g) = 2*a(g) - 2*p(g). Let u(s) = -3*s - 2. Let x be u(2). What is the remainder when b(x) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -25\/12?\nAnswer: -25\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -5*r + 20576 + 3589, r = -5*b + 30201. Round b to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 131 = 4*i - 57, 0 = i - 2*b - 62. Calculate the least common multiple of i and 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22685000.69 minus -25755.2?\nAnswer: -22659245.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 7*v**2 + 22*v - 23. Give q(-6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 33816.4 millennia in centuries?\nAnswer: 338164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 726242530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 788 + 0.03102194.\nAnswer: 788.03102194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 - 4*c**2 + 3*c + 4. Let s be t(2). Suppose -2 = s*y - 134. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 41.53405mm to nanometers.\nAnswer: 41534050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**1\/h)\/h)**(-9\/7))**(6\/13) assuming h is positive.\nAnswer: h**(54\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1182*x + 1188 + 3\/2*x**3 + 291*x**2 = 0. Calculate x.\nAnswer: -198, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 277.5 (b) -2\/83 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 516, 1032, 1548, 2064, 2580, 3096?\nAnswer: 3612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 43 - 23. Suppose 0 = -5*q - t. Put 1, 0, q in decreasing order.\nAnswer: 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1750 and 9450?\nAnswer: 47250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -48 - -190. What are the prime factors of d?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6919*s**4 - 2*s - 7668 wrt s?\nAnswer: 83028*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 - 12*y**2 + 5*y - 64. What is g(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 93 - 68. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2107 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 74 = 40. Suppose 11*s = k*s - 18. Suppose -3*b + 135 + 225 = s*h, 5*h = -b + 580. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 135*(20650\/4248)\/(-175).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*k - 53*k + 36*k.\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*k - k + 3*m, 0 = 2*m. Let i = 3.9 + -4. Is k <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) -3\/4 (b) 60 (c) 1846\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (20*q + 14*q - 5*q)*(15*q**2 - 7*q**2 - 5*q**2) + (0 + 1 + 1)*(4*q**3 + 0*q**3 - 2*q**3) in the form r*q**2 + y*q**3 + w + v*q and give y.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -24 - -39. Suppose -3*u - 2*u - r = 0. Let m be 3 - (-6)\/(u - -1). Put m, 3, -1 in increasing order.\nAnswer: -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -10*b + 11. Give h(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11202111111202201 - 0?\nAnswer: 11202111111202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -1679244 by -66.\nAnswer: 279874\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 100 and 10500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20 and 7744055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(190) + sqrt(190) + sqrt(190)*-1) + sqrt(190))\/(2*(sqrt(10) + sqrt(50)\/sqrt(5))).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 4 + (-4 - 2) - 1 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5291.54948 rounded to the nearest ten?\nAnswer: -5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 4*g + 12333 - 12302 = -4*o, 5*o - 8*g + 71 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 16*h + 69. Let b be u(-4). Let s(n) = -b + 1 - 12*n - 3 - 4 + 13. Calculate s(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 85 and 629.\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 5*q + 4. Let x(g) = -g - 1. Let k(o) = 2*n(o) + 9*x(o). Determine k(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12 + 3010?\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29 + -26. Let q be 1\/(1*(-2)\/(-4)). Suppose 0 = r*t - q*t - 12. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence by when two letters picked without replacement from ytbbhhh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = -3*r + 2*o, 5*r - 2*o = 3*o + 35. Suppose 4*l + 216 = 3*p, -192 = -0*p - 3*p - 4*l. What is the remainder when p is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4223703 and 31141?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 - -13. Let v be (-4)\/10 - (-34)\/10. Suppose -5*o = v*t - 14 - 78, 0 = 5*t + 3*o - 132. What is the remainder when t is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a. Let u = -253 + 256. Let j(h) = -h. Determine u*k(c) - j(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -46 - -44. Let z be 15\/m*(6 + (-140)\/21). Suppose -16 = -13*u + z*u. Solve 0 = -2*p + 2*b - 8, -b + u = 3*p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:29 PM and 5:19 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -8*b**2 - 14*b + 5. Let v(i) = -9*i**2 - 15*i + 6. Calculate -6*g(y) + 5*v(y).\nAnswer: 3*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1067037 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 39226957201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7661251?\nAnswer: 13, 589327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l + 3*l + 0*l + (2*l + 0*l + 0*l)*(3 - 3 - 2) + (-1 - l + 1)*(-1 - 4 + 4) - 7*l + 5*l + 3*l)*(0 - 3 + 5).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -29, -3, -844 in descending order.\nAnswer: -3, -29, -844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 13, -5, 26 in decreasing order.\nAnswer: 26, 13, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -7*q - 20. Let v be (-784)\/42 - 2\/(-3). List the prime factors of m(v).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 91 - 76. Let y(l) = -l**3 + 13*l**2 + 36*l - 3. Let d be y(r). Calculate the greatest common factor of d and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 94*g**2*x - 2*g*x + 28*x - 66 wrt g?\nAnswer: 188*g*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(242)*-6.\nAnswer: -132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/558, -0.4, 40, -31, -1 in ascending order.\nAnswer: -31, -1, -0.4, -1\/558, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u - 596 + 608. Let d(w) = -2*w**3 - w**2 + 3. Let y be (-9)\/3 + -1*2. Let n(x) = -3*x**3 - x**2 + 4. Calculate u*n(q) + y*d(q).\nAnswer: -2*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71 = -4*i - o, -78 = -4*i - 4*o - 10. Suppose -5*a = i*a - 43700. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -208, -920, -2178, -4048, -6596, -9888?\nAnswer: -13990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fukukkufkuuuuu. What is prob of sequence fu?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes after 7:19 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 331 is divided by 254?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6*(-10)\/(-7020))\/(2*(-1)\/(-4)).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 818636 and 2535.\nAnswer: 12279540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -4*v + 1. Let p be a(-8). Suppose 81 = 3*r + p. Let i be 8\/2*4\/r. Which is greater: -4\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -81 - -86. Suppose -h*x + 3510 - 1310 = 0. Suppose -5*j + x = 5*s, -j - 276 = -s - 2*s. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-9)\/(-6)*56\/21. Let i(u) = 8*u**2 - z + 4 - 7*u**2. Let d(x) = 9*x. What is d(i(w))?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 18.2635057 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11177572 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 14999115 = -4*y + 5717114, 9281996 = -4*y + 4*i. What is y rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 177321, 709294, 1595901, 2837130, 4432969, 6383406?\nAnswer: 8688429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -3*j**3 - 123*j**2 - 74*j - 108. Let w be k(-41). What is the greatest common divisor of 198 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2460 and 1357305.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 15*b**3 + 6*b**2 + 41*b + 15. What is the tens digit of h(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7907702581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5604406 - 5?\nAnswer: 5604401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -1 + (2 + -6 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 195 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47 and (-43014)\/(-61632) + (1\/4)\/((-3)\/6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -m - 4*m + 15, 10 = 2*d. Solve -m*l = 4*i + 2, i + 6 = 2*l + 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 2*r + 1 = -4, -5*y + 3*r = 5. Put 0, y, -2, 1 in ascending order.\nAnswer: -2, y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -277 - -289. List the prime factors of 2\/(2\/287) - t\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1077\/49 + 22. Let p = -29179 - -4289359\/147. Let n = t + p. What is the nearest to 0 in n, -4, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.0184? (a) -0.15 (b) -5.9 (c) 0.3 (d) 1\/2 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 346*b**2 - 3*b + 12 wrt b?\nAnswer: 692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q + 108. Let v be k(0). Suppose -2*d + v = d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - (sqrt(2)*3*5)**2)*1.\nAnswer: -450 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 780, 723, 666, 609?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 40 = -b + 2*n, -3*n = -15. Let a be (4\/6)\/((-4)\/b). Does a = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes after 12:31 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 108528 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 1. Let i = -0.011 - -25.811. Let t = -26 + i. Which is the second smallest value? (a) y (b) -12 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 5 - 5 + 2*i. Let k(z) be the third derivative of z**4\/6 - 11*z**2. Calculate k(r(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 4819848259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 57311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 22524 by -5631.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 15716994.3ms?\nAnswer: 0.02598709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1018980 to the power of 1\/2, to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 3*a**5 - 18*a**4 + 15*a**3 + 36*a**2 = 0. What is a?\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 23.5892 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4781785.\nAnswer: 5, 956357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-105 + (-3 - -1))\/(-1). Suppose 5*r - 42 = -s. What are the prime factors of (-2)\/((-11)\/r + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 716.6306 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from zwwwzzzwzzccz?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 0.5 (b) -2\/11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 + 42 - 15)*(3*p + p + 2*p).\nAnswer: 204*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1\/(-7) + (-20575270)\/(-1778)?\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fhhfmkmhhkfqfm. What is prob of picking 1 h and 2 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 + -16. Let s(w) be the second derivative of 2*w + 1\/20*w**5 + 0*w**2 + 0 - 1\/6*w**3 + j*w**4. What is the second derivative of s(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 338777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-18)\/81 + (-7368)\/135. Let w = l - -55. Which is smaller: w or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 177440 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 626 divide 426306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -85 + 410. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 202 + -87. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -14, -15, -16?\n\"Answer: -g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-32)\/128 + 411\/(-84))\/(2\/7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*y + 5282 = 6*y - 8*y. What is the greatest common factor of y and 54766?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 6*h**3 + 11*h**2 + 15*h - 9. Let c(k) = -4*k**3 - 7*k**2 - 9*k + 6. Give 5*b(a) + 8*c(a).\nAnswer: -2*a**3 - a**2 + 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 369\/(-12915)*294\/12.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, r: 1, p: 8, y: 3}. What is prob of picking 3 w?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes after 7:35 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1104*c + 252*c = -21300 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -685 - -690. Solve -5*t + 15*d - 32 = 11*d, 2*t = -d - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*w**2 + 6445*w - 158815 = 0. Calculate w.\nAnswer: -1381\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*h*l*u - h*m**2 + 25*h*m*u + 8*h - 4*l*m*u + 2*l*u + 2*m*u - 4*u wrt m?\nAnswer: -2*h*m + 25*h*u - 4*l*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2008 + 16685.\nAnswer: 18693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-58*k**2 + 171 - 171)*(-4 + 4 - k**2) in the form r*k**3 + n*k**2 + t*k + q*k**4 + x and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:45 AM and 12:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**2 + 559 - 559)*(-96 - 5*o + 96)*(-o + 4*o - 2*o)*(3*o + 2 - 2).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1380 and 1248.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2.65249 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1499, -1251, -1003?\n\"Answer: 248*r - 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the third derivative of -17*o**5\/60 + 3*o**3\/2 - 31*o**2. Differentiate j(n) wrt n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 965 - 8666\/9. Calculate the common denominator of p and 57\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 440326086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3067 - -12275\/4. Sort -13, -6, b in decreasing order.\nAnswer: b, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 3, 24, -2, -43, 52 in decreasing order.\nAnswer: 52, 24, 3, -2, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -80, 2\/7, 0.4195?\nAnswer: 0.4195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 229 - 49 + 95 - 204*m + 201*m. Let v be q(0). Suppose -375 = -4*k + 2*i + v, 145 = k + 3*i. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-3\/10)*a\/(a*a**(-3)*a)*(a**(1\/2)*a)**24)**16 assuming a is positive.\nAnswer: a**(3096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 636*a - 63 = 643*a. Let o(q) = -35*q - 307. Let t be o(a). Solve 3 = 3*u + 5*h, u + 0*h - t = -4*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 440 > 440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2212198 divided by -1106099.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -219*g + 150 = -222*g. Let u = g + 60. Solve 6*d = 4*d + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -86, -138, -190, -242?\n\"Answer: -52*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*s - 19*s - 132 = 0. Let m = s - -80. What is the smallest common multiple of m and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 404609?\nAnswer: 401, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 127 + -125. Solve t + 0 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18404862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -201002112221021102 - -11?\nAnswer: -201002112221021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8.5 + -7. Let w = 2 - v. Let l = 4 - 9. Put w, l, -4 in increasing order.\nAnswer: l, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 160500971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 7 - 2379*o.\nAnswer: -2379*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = 4*j - 4*u, 0 = 5*j + 4*u - 51 - 6. Let k(t) = 63*t - 1. Let f be 2\/10 - 8\/(-10). What is the remainder when k(f) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the second derivative of -d**4\/12 - 4*d**3\/3 + 4*d**2 - 15*d. Give f(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*z = h - 16*z - 39818, h - 39834 = z. Round h to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2728887899865 and -0.1?\nAnswer: 2728887899864.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 128\/(-22) - 98\/539.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Are -0.472 and 2998 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 270*y + 4 - 643*y - 787*y to the form z*y + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (1 - -2) + (-1 + -3 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2 - 1)\/(3 - 4). Let j be 38315 + (-1 - (h + -1)). Let d = 21816 - j. Round d to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(1300)*1 + 3 + 3 + 5))**2*-6 + 3)*4.\nAnswer: -136404 - 21120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/(i**(-1)\/i)*i**(-2\/7)*i**5\/(i*i**0\/i) assuming i is positive.\nAnswer: i**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -23841, -22625, -20609, -17799, -14201, -9821, -4665?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 + -3)*0 + 0 + -2. Let v(f) = -f**3 + 5*f**2 + 8*f - 8. Let h be v(6). Put -1, h, a in decreasing order.\nAnswer: h, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s**5 + 220*s**4 + 460*s**3 + 10*s**2 - 455*s - 230 = 0.\nAnswer: -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of -563*v**3\/6 + 1090*v**2 + 465*v. What is the first derivative of w(m) wrt m?\nAnswer: -563","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -4, 0.01, 3 in descending order.\nAnswer: 3, 0.01, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 148 and 38.\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:21 PM and 12:26 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9 - -11)\/((-846)\/(-3478)). Determine d, given that 8\/9*d**3 + 2*d + 0 + j*d**2 = 0.\nAnswer: -9, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 - -369.\nAnswer: 369.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 52 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3052 and 5516.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 360, 412, 450, 474, 484, 480, 462?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 15, w: 3}. What is prob of sequence hhh?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 AM and 11:26 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2, -9, -2\/23, 0.4, 3406?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 45*(-2)\/((-12)\/9)*(-92)\/207.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 64 - (-1 + 4 - 2 - (-24 + 7)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11361 a factor of 2731043812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + 5*u + 10 + 8, 2*u = -5*w - 45. Let c be 2\/(-6)*w\/(-12). What is the closest to c in -3, 4\/3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1\/219 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 13*t**3 - 13*t. Suppose -z + 3*q - 17 = 0, 2*z + 5*q - 9 = 12. Let y(s) = -3*s**3 + 3*s. Calculate z*d(j) - 9*y(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -26 greater than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 0.2, -31, 2\/13, -9, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 3*d - 3. Suppose -5*k - 37 = 23. Let m = k + 7. Let a(c) = c - 1. What is m*a(t) + 2*f(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 61996849 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -1. Let w = -8 + 5. Let g = w - -4. Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -15*u**2 - 47. Let i(x) = -16*x**2 - 48. Let o(v) = -5*a(v) + 6*i(v). What is the derivative of o(c) wrt c?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/7 and 1\/(-4) - (-186)\/16.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*k + 228 = -24. Factor 4*t**2 - 8*t - k + 30 - 12.\nAnswer: 4*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/9 and 13\/9114?\nAnswer: 27342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4633 is divided by 1521.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/6 - (-24)\/9) + 2027. Let h = s + -1339. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 - -41) + -8*(-1)\/2. Suppose 0*d = -d + 1, -d - p = 3*t. Let o be 1\/(-5)*-8 + t\/(-40). Solve -o = 2*i + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*m**3 - 62*m - 29*m**5 - 25*m**5 + 41*m**5 - 3 + 19*m**5 wrt m?\nAnswer: 120*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -216.4 - -217. What is the second smallest value in -3, -1\/3, 1, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, 106, 408, 998, 1972, 3426?\nAnswer: 5456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 + 3*p**2 + 3*p. Let i be r(3). Suppose 0 = u + 4, i*f = 4*f + 3*u + 12. Sort 3, 1, f.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5259, 10513, 15767, 21021, 26275, 31529?\nAnswer: 36783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 469*x = 470*x + 28. Let h be (-3 - x\/8)*2. Solve h = -3*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - 5. Let a be (-3)\/2 + (-255)\/(-6). Suppose 3*t - 4*x - s = 12, -a = -3*t - x. Calculate the greatest common divisor of 108 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1046.2 + -1046. Let f = -1 + 0.97. What is the second smallest value in -5, q, f, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 3*n + 31, -1930*h + 1929*h = -2*n - 24 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 - p**2 + 3*p + 12. Let y(v) = v**3 - v**2 + v - 1. Let c(r) = s(r) - 2*y(r). Suppose -g = 4*g. Is 7 a factor of c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4401.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 310 - 430. Which is the second smallest value? (a) -1\/6 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 20, -4, 3 in increasing order.\nAnswer: -4, -1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -32133430 (base 5) to base 9.\nAnswer: -452808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 199.067 days to minutes.\nAnswer: 286656.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 76 (base 10) in base 4?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -472, -947, -1422, -1897?\n\"Answer: -475*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 224+11.123\nAnswer: 235.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3 - (-4)\/8*8. Let i be 20\/((5 + -6)*h). Which is greater: -21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*x + 58 - 324 = -128 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**2 - 18*h + 10. Suppose -9*t = -11*t + 430. Calculate the remainder when t is divided by f(-15).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*q**2 + 18*q**2 + 18*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 4 - 366*n - 615*n - 2 as g + v*n and give v.\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1237, 2466, 3695, 4924, 6153?\n\"Answer: 1229*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2656684724?\nAnswer: 2, 17, 359, 108827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 312 + -10240032?\nAnswer: -10234220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -56465497 by 56465497.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the first derivative of -5*f**3\/3 - 87*f**2\/2 - 405*f - 42. Let w(t) = 35*t**2 + 610*t + 2835. Let u(a) = -20*j(a) - 3*w(a). Solve u(m) = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1352692 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence diii when four letters picked without replacement from yiiid?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 96579.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 194663 is divided by 1442?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 9. Calculate the smallest common multiple of (6 - 12)\/((-6)\/s) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 207, 1669, 5595, 13209, 25735?\n\"Answer: 204*v**3 + 8*v**2 + 10*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + n)*(-n - 2*n + n) + n**2 - 8 + 8.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 26144*d**2*h**3*y**3 + 20*d**2 - 3*d*h**3*y**3 - 16*d*y**2 + 5*h**3*y**2 + h**2*y**2 + 2*y wrt d?\nAnswer: 52288*h**3*y**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = n - 34. Suppose a - 2*a + 31 = -w, -5*w = -15. Calculate the highest common divisor of n and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -28*h + 23*h + 220. Calculate the greatest common divisor of h and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -14*b*i**3*o + 2*b*i**3*x + 965*b*i**2*x + 46*i**2 - i*o*x + 3*i*x + 845*o*x wrt o.\nAnswer: -14*b*i**3 - i*x + 845*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 2*b - 20. Let u(x) = 2*x + 3 + 0*x - 2. What is u(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 141 + 29 = 10*f. Suppose -5*g - 5*w + 495 = 0, 15*g - f*g - w = -199. Calculate the highest common divisor of 125 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of c**5\/60 - c**4\/24 + c**3\/3 - 57*c**2. Determine o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 10766 and 0.003807666.\nAnswer: 10766.003807666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -46*f**3 + 3*f**2 - f - 2. Does 6 divide k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/((o*o**0)\/o))**(-9)\/(((o\/o**3)\/o)\/o*o*(o*o*o\/o**(4\/7)*o*o)\/o*o) assuming o is positive.\nAnswer: o**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**2 + 18*x - 5. Let h be g(0). What is the closest to 1 in -1\/2, 1, -2, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*z + 13*z + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**2 + x. Let l(b) = -b**3 + 6*b**2 - 5*b. Let o(d) = -2*k(d) - l(d). Let n be o(3). Suppose -2*a = -n*a - 14. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 220*k**5 + 0*k**4 + 206*k**5 - 463*k**5 - 3*k**4 + 0*k**4 + 687*k**2 wrt k?\nAnswer: -2220*k**2 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 5, r: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 55460*y + 4*y**2 + 38 - 55460*y + (4*y + 3*y - 5*y)*(1 + 2*y - 1).\nAnswer: 8*y**2 + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 797603293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 16775.6 - 22890?\nAnswer: -6114.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1282, -1239, -1172, -1075, -942?\n\"Answer: o**3 + 6*o**2 + 18*o - 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7 + 6.2. Let g = h - -1.2. Let w = -5 - -4.8. Put w, -3\/2, g in increasing order.\nAnswer: -3\/2, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 2682*s - 42. Let t be p(-19). What is t rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.04 - -0.03999951. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -27 - -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + c + 28 = 25, -3*c = 4*k + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*r = 11*r + 17. What are the prime factors of (-20)\/((-33)\/(-144)*4 - r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000022228642 rounded to 7 dps?\nAnswer: 0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/(84\/(-6))*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32287934 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-1))**(-16)*(g\/(g\/(g*g\/(g**(1\/7)\/g*g)*g)))\/(g**(-2\/17)*g))**38 assuming g is positive.\nAnswer: g**(81282\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*a + 5*l + 115 = 26*a, 0*a - 89*l - 46 = -2*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2648753, -2648755, -2648757?\n\"Answer: -2*d - 2648751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10518*w - 5195*w - 5329*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32.4 + 35. Let z = h + -4.4. Let j = 2.8 + z. Which is the second smallest value? (a) -5 (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*h + 17*h - 3 = 0. Suppose 5*b = 5*g - 0*g - 30, 4*g + 5*b = -h. Suppose 7*x = -g*x + 100. Calculate the remainder when 17 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, 11, 13357?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 - 6*j**2 - 2. Let t be k(6). Let u be (1 - t) + (5 - (-129 + 5)). What is the highest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0251 * 4.92\nAnswer: 0.123492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -8 (b) -0.1 (c) 0.4 (d) 2\/7 (e) 11 (f) 1.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 6 = -0. Let v(a) = a**3 - a**2 - 1. Let j be v(s). Suppose j*w + h - 69 = 0, 5*w - 8*h - 115 = -3*h. Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 minus -3307608696?\nAnswer: 3307608695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**2 + 21*d - 82. Determine m(14).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -94.26597598 to two decimal places.\nAnswer: -94.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x + x + 104*x**2 - 54*x**2 + 144 - 53*x**2 + 2*x.\nAnswer: -3*(x - 8)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 AM and 10:24 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3983, 5, -0.1, 4, 1, 48 in decreasing order.\nAnswer: 3983, 48, 5, 4, 1, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -103*f + 198 = -100*f. What is the remainder when f is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -5*j**2 - 16*j - 6. Let p be m(-6). Let g = 1215 - p. What is the tens digit of 4\/6 - g\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14924*t**2 - 27205 with respect to t.\nAnswer: 29848*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 114*k**3 - 63*k**3 + 116*k**3.\nAnswer: 167*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (652395\/(-80290))\/61 + 6\/28?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -4*a**2. Let l(k) = k. Let x(j) = 5*j. Suppose 4*m + 19 = 5*i, 0 = 3*i - 0 + 3. Let s be (-8)\/m*(4 - 1). Let h(b) = s*l(b) - x(b). What is w(h(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 32 - 31. Calculate the highest common divisor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + -3118?\nAnswer: -3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -3392.433 to the nearest 10.\nAnswer: -3390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -u - 13, -u + 16 = u + 4*d. Suppose 2 = u*j, -3*i - j + 2 = -17. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1\/2))**(3\/25)\/(i\/i**(-1\/2))**(-2\/37)*(i\/(i\/(i\/(i\/i**0)))*i)\/(i*(i*i**(-8))\/i)*(i*i**(-1\/3)*i)\/(i\/((i*i**(-3\/7))\/i*i)) assuming i is positive.\nAnswer: i**(359719\/38850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 258, -0.2, 2\/7 in descending order.\nAnswer: 258, 2\/7, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8953\/5870 + -74\/2935. Factor 0 + 33\/2*d + k*d**2.\nAnswer: 3*d*(d + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*o**3 + 12*o**3 - 7*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 2*y - 20 = 0, -455*l + 460*l + 5*y - 10 = 0. What is the fourth smallest value in 62, l, -1\/3, -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -22*p + 6. Let f be d(11). Let u = 395 + f. List the prime factors of u.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 31369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1695 + -1694.9999997757. What is q rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 229 - 216. Let f be (i\/(-4))\/13*0. Solve -4*n + 4 = f, -4*w - w + 2*n = -18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h + 5. Let y be u(-6). Let t be -1 - y - (-7)\/(-7). Suppose c + 2 = t*n, -4*c - n - 6 = -5*c. Calculate the greatest common factor of 56 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - -101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 33 + -85 + 15 - 57\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/29921010 and -119\/180.\nAnswer: 179526060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -938 - -843. Suppose 0 = 4*h - 4*i + 396, 5*h - 4*i + 422 = -69. Is r < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = 2*c - 4*l, 3*c - 9 = -2*l - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -920 divided by 10\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2 - 21.2. Let v = 41 + -62. Let i = r - v. What is the third smallest value in 2\/3, 1\/5, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*w + 0*w - 4*w**3 + 12963*w**2 - 13048*w**2 - 3*w + 2 as a*w**3 + v + f*w**2 + o*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 c, and 1 s when three letters picked without replacement from cogcbcscycc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -2*(-2)\/38 + (-179361)\/(-171) is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (150 - 152) + (-26)\/(-12)*1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4*h = 2*q + 15, q - 2*h = -6. Sort 4, 16, q in ascending order.\nAnswer: q, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*h - 47 = 93 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.4 and 6780?\nAnswer: 6780.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-216)\/21)\/8*((-14)\/77 - 152\/(-3135))\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6512568.\nAnswer: 2, 3, 271357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 4*u + 28. Let b be n(14). Suppose 7*f - 1232 = b. Does 35 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 124, 1\/8, 0.1, -43\/3 in descending order.\nAnswer: 124, 1\/8, 0.1, -43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -1023022 times -146\nAnswer: 149361212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-6 + 252\/30)*6540\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/8)\/((-7)\/(1540\/60)*132\/(-288))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -25 + 27. Suppose 0 = r*a - 6*a + 52. What is the remainder when 63 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*i + i + 2*i)*(-6 + 3 + 1) + 4 + 10 + 2258*i + 17 - 31.\nAnswer: 2262*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 3*k = 6, 0 = 4*p + 4*k - k + 6. Let v(a) = 10 - a + 2 + p. Let o be v(9). What is the greatest common factor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 20 = -0*l. Let a = 8 + l. Suppose 34 = 2*p + 4*y, -7*p = -3*p - a*y - 116. Solve -5*g + 0*g - p = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 226 and 24.\nAnswer: 5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 6 + (-6 - -1) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/3 or -90699712?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 3 + 16 - 38*s - 2. Let i(y) = 13*y - 6. Let d(a) = 17*i(a) + 6*k(a). Let p(h) = h**2. What is d(p(g))?\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 - 53*b**2 + 492*b + 253. Give z(-61).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -24*p**4 - 3*p**3 + 17*p**2 + 3. Let o(h) = -47*h**4 - 7*h**3 + 35*h**2 + 7. Let r(a) = 3*o(a) - 7*u(a). Find the third derivative of r(w) wrt w.\nAnswer: 648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - 6)*5 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from qbzzjjuqa.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 951 - 393. Is k a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -220132 or -220133?\nAnswer: -220133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yggyyyyyyyyyyyyyyyy. What is prob of sequence ggyy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 - 42*i + 5379. What is the smallest common multiple of 200 and l(49)?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 111021 - 11220200111?\nAnswer: -11220012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*h**2 + 2*h**2 - 2*h**2)*(7*h + 3*h + 0*h) + 3 - 3 - 20*h**3 in the form j*h**3 + o + m*h + g*h**2 and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 53040 and 2130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -11101111100110000 (base 2) to base 4.\nAnswer: -131330300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 + 22 - -6) + -33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*a*n**2*z**3 + a*z**2 - 3*a*z + 2*n**2*z**3 + 8*n**2*z - 26*n*z**3 - z**2 wrt z?\nAnswer: 30*a*n**2 + 12*n**2 - 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 2:16 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccd when three letters picked without replacement from {d: 1, s: 3, c: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 - 1528 - 1933 = -137*m. Suppose 0 = -3*l + 1 + 11. What is the remainder when (1\/1)\/(l\/292) is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of h**6\/120 - h**4\/24 + 23*h**3\/6 - 3*h**2. Is d(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 + -7. Let o be 12 - -4*(q - -1). Let f(d) = d**3 - 9*d**2 + 7*d + 6. Give f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*w**5 + 383991*w**3 - 1690030*w**2?\nAnswer: -240*w**2 + 2303946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 46 - -417?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37*g**3*y**3 + 2*g**3*y + 22*g**2*y**2 wrt y?\nAnswer: 222*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 7 = -3*r, 3*s = 4*r - 1 - 4. Suppose 4*u - 39 = y, -r*y - 5 - 33 = -4*u. Suppose 3*a + 3*d = d + 6, d = 5*a + 3. Solve -u = -a*v - 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 32749903.\nAnswer: 32749903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 12 (b) 293 (c) -3 (d) 114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -30529, -61068, -91621, -122188, -152769, -183364, -213973?\nAnswer: -244596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of 11*q**5 + 215*q**4\/4 + 200*q**3\/3 - 10*q**2 - 129. Suppose r(m) = 0. Calculate m.\nAnswer: -2, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11906232, -11906173, -11906122, -11906085, -11906068, -11906077?\nAnswer: -11906118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 153 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(208) + -1))**2 - ((sqrt(52) + 5)**2 + (-1*sqrt(78) + sqrt(78))\/sqrt(6)).\nAnswer: -220*sqrt(13) + 5148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(3) + (sqrt(75) - (sqrt(75) + 1))**2 + 0) + sqrt(1200)*-5*5.\nAnswer: -503*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3776 is divided by 746.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -1126152 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the second derivative of r**6\/15 + 5*r**5\/2 - 9*r**4 - 976*r. Factor z(p).\nAnswer: 2*p**2*(p - 2)*(p + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u - u + u + 0.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -413*t + 405*t = -40. Let f(d) = -2*d - 2. Let z be f(3). Let v be t\/(-6)*z\/10. Sort -2\/7, 4, v in decreasing order.\nAnswer: 4, v, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 71963855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -23 + 9. Let l(c) = -c**3 - 13*c**2 + 14*c + 5. Let y be l(u). Suppose 4*x - 113 - 233 = -5*o, -y*o - x + 349 = 0. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**3 - 2*b**2 + 9*b. Give d(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1265 divided by 1.\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 807627*g - 807627*g + 1039*g**2. Let i(n) = -n. Calculate c(i(v)).\nAnswer: 1039*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 - (-21 - -14) - -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*k + 128*k + 31*k.\nAnswer: 176*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/125 of a kilometer in centimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(2\/9)\/b*b)**(3\/5)\/(b*b*b**6)**(-18))**(-7) assuming b is positive.\nAnswer: b**(-15134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 5, x: 11}. What is prob of sequence yyyx?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 5*l - 6. Let m = -7 + 9. Suppose -k + l = -m*k + 5*z, 4*k + 4*z - 24 = 0. Round k to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of 7*q**2 - 50*q - 136. Let o(r) = -6*r + 24. Let f(z) = 5*o(z) + 2*x(z). Determine f(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - (1 - (-15 - -14))) + -21\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 13 and 120120.\nAnswer: 120120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*d + 19. Let z(m) = -m - d + 12. Let y(t) = 2*t**2. Give z(y(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u - 48 = 0, -468 = 20*w - 22*w + 5*u. Solve 5*p - w = -289 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the third derivative of j**5\/60 - j**4\/6 + 5*j**3\/6 - 101*j**2. List the prime factors of p(-11).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 4*a + 5*h - 23 = 0, -3*a - 19 = -5*h. Factor -9\/5*s**a + s**3 - 1\/5*s**4 + 7\/5*s - 2\/5.\nAnswer: -(s - 2)*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y + 2*y + 3*y)*(-2*y**3 + 5*y**3 + 7*y**3) + 1128525*y**2 + 238*y**4 - 1128525*y**2.\nAnswer: 258*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1 and 2231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express p**3 + 87 - p + 4396*p**2 - 8 + 2*p - 4397*p**2 as j*p + q*p**3 + w*p**2 + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 4729.16555 rounded to one dp?\nAnswer: 4729.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67 + 3 = -66*g + 2. Put 2, -0.5, 0, g, 1.63 in increasing order.\nAnswer: -0.5, 0, g, 1.63, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**3 + 10*s**2 + 2*s - 5. Let h be 3\/15 + (-147)\/(-15). What is the tens digit of o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 458 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 39478, 39691, 40286, 41455, 43390?\n\"Answer: 32*g**3 - g**2 - 8*g + 39455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 104644724 to the nearest integer?\nAnswer: 10230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 12:28 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2*h**2 + 148*h + 3213. What is v(91)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**3\/4 + 24065*i**2\/4 - 822545*i\/4 + 7003915\/4.\nAnswer: 5*(i - 17)**2*(i + 4847)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, 46, -0.3 in increasing order.\nAnswer: -0.3, 1\/5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the second derivative of -b**5\/120 + 5*b**4\/48 + 17*b**2 - b - 42. Let x(p) be the first derivative of q(p). Factor x(i).\nAnswer: -i*(i - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 698669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 544871*q**2 - 259230*q.\nAnswer: 1089742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 7, w: 6}. What is prob of picking 4 t?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -54 + 603361?\nAnswer: 603304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 19\/(-5)*(-25)\/5. Suppose -4*h = -t - 1. Solve 4*m + 10 = -a - 0*m, -h*m = 2*a + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3.673 - 3.58738. What is n rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2948758*m**2 + 134502?\nAnswer: -5897516*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23194 is divided by 420?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/20*4\/(-12)*24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 50 + -28. What is the smallest common multiple of 2 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*d + 5*d**3 + 0*d**3 - 2*d**3 - 299 + 3*d**3.\nAnswer: 6*d**3 + 4*d - 299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the third derivative of 0*u - 73\/6*u**3 + 0 - 27*u**2 + 26\/3*u**4. What is the derivative of z(f) wrt f?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 177*l - 108*l - 417 = 273 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 21587611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*q + 27*q - 390 = 31*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*h = 107*h + 321 - 2265. Solve -h = -3*s - 5*o, -s + 22*o = 20*o + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -8.1 * 2.0976199\nAnswer: -16.99072119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 467 + 1033 = 39*w - 1152. What is the greatest common factor of 935 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -507, 8.\nAnswer: -507, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*d - 630 = -38*d. Suppose -8*s = -s + d. Let q = -18 - s. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1448 + 3069. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p such that p**4\/7 - 4152*p**3 + 211179023*p**2\/7 + 4152*p - 30168432 = 0.\nAnswer: -1, 1, 14532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 - -1030012001?\nAnswer: 1030011330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((-105)\/1638*13)\/(2\/(-4))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 207, -1, -4, 2 in ascending order.\nAnswer: -5, -4, -1, 2, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 15) + 8 + (-3 + 0 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d = -9948 - 4122. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/8 and 11\/189047670.\nAnswer: 756190680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 75*g**2 - 112*g + 23. Let w(f) = -25*f**2 + 37*f - 8. Let r(h) = -2*s(h) - 7*w(h). Factor r(i).\nAnswer: 5*(i - 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-66)\/55)\/(3\/(-70)). Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = s - 1 - 2, 15 = 5*s + 2*j. Let q(x) = x + 1. Let m(k) = 29. Let l(o) = 2*o - 2604. Let g(z) = -l(z) - 90*m(z). Give s*q(p) + g(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -61*x + 375. Calculate v(9).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/5, -4\/9, -1\/54, -2\/9, 437\/2 in increasing order.\nAnswer: -4\/9, -2\/9, -1\/54, 4\/5, 437\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 5*s**2 + 2. Let x(j) = -j**3 - 6*j**2 + 28*j + 7. Let i be x(-9). Let u(g) = -11*g**2 - 5. What is i*u(t) - 5*a(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 2 = -u, -4*u + 4 + 4 = -5*l. Suppose 3*a = -18 - 42. Let m = 65\/3 + a. Is u greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (1 + -10 + 18)) + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 4, -50 in ascending order.\nAnswer: -50, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 6130 = 6*o. Let y = -341 + o. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -7, -257\/122, 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 2*m - 241 = 7*m, 0 = 3*w + 5*m + 763. Let b be (-28)\/(-70)*(w\/(-21) + -1). Are b and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 91.09491nm to millimeters.\nAnswer: 0.00009109491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -815 divided by 2.\nAnswer: -815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 132 and 990?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(240)\/sqrt(12) - (-5 + sqrt(15)\/sqrt(3)).\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 20 = 0, -2*g - 11 = -19*j + 18*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (20 - ((-762624)\/(-1197))\/32)\/((-6)\/(-7) - 1)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -1, 5, 11, 17, 23?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (235\/188)\/(50\/4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 15879147 a multiple of 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10 + 12. Suppose z*i + 0 + 2 = 0, -2*k = 5*i - 175. Suppose -5*d - 4*x + k + 1 = 0, -d + x + 20 = 0. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1986, 18834, 65332, 156306, 306582, 530986, 844344?\n\"Answer: 2471*b**3 - b**2 - 446*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 31669*i**3 - 239*i**2 + 16*i - 1 wrt i.\nAnswer: 190014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 233*z + 339 = 88*z - 96 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -1. Let c(h) = -h + 2. Give -4*c(a) - 11*t(a).\nAnswer: 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 270330338 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (63\/(-7) - -12)*(-35)\/(-60)*4. Calculate the greatest common factor of 1736 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of 37*v**7\/210 - v**6\/60 - v**4\/12 - 59*v**3\/6 + 63*v**2. Find the second derivative of o(s) wrt s.\nAnswer: 444*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oao when three letters picked without replacement from oooa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -6*u + 178*u**2 + 0*u**4 + 0*u**3 - 4*u**3 - 180*u**2 - 2*u**4 in the form v*u + j + o*u**4 + g*u**2 + d*u**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1559220\/(-539730))\/(8\/(-54) - 0)?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/27 + (8 + -28)\/180.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 46 - 48.3. Let t = j - -1.6. Let y = t + 0.3. What is y rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 AM and 3:09 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**2 + 6*l - 15. Determine c(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 64 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2*m**3 + 15*m**2 - 8*m + 6. What is y(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.127697082 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 105819994495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, s: 2}. Give prob of sequence ddds.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 15 = -9*z. Suppose -5*d + z*d + 14 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 3*k**2 - 8*k + 7. Let s be q(1). Solve 5*z = -3*a, -8 = s*a + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**2 + 2290*f + 13560.\nAnswer: 5*(f + 6)*(f + 452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or -3432?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*y**5 + 0*y**5 + 0*y**5 + 4*y**2 - 2*y**5 - 4*y**2 + (y**4 - y**3 + y**3)*(y + 0*y - 2*y).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/36*-12*3\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 3 = l - 4*l, 5*l + 11 = -3*p. Is 6159\/6 + p\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 71*b - 2. Let y(j) = 334610*j. Determine f(y(d)).\nAnswer: 23757310*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 - 16*l**2 + 15*l. Let t be x(15). Suppose 6*o - 20 + 2 = t. Solve 0 = -u + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3\/2, 4, -0.03, -2\/143 in decreasing order.\nAnswer: 4, 3\/2, -2\/143, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -35.2194 - 2.\nAnswer: -37.2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -37439 and 1.1.\nAnswer: -41182.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-120)\/(-273) + (-8)\/28. Put k, 0.4, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 0.5, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 45102.35 kilometers to millimeters.\nAnswer: 45102350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes before 7:23 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13\/6 - 5\/3. Let g(f) = 5*f**2 - f + 6. Let o be g(-3). Let j = o - 56. What is the smallest value in -0.1, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 887*u**2 - 3*u - 16. Let i be r(-3). Suppose -23*j + 31*j = i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 521 and 7329?\nAnswer: 3818409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 2:50 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 5:58 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 + -41\/3. Let q = -58\/3 + 20. Find c, given that 1\/3 - q*c**2 + i*c**4 + 0*c + 0*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 l, and 1 w when three letters picked without replacement from {l: 1, x: 2, w: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 16\/11, -3\/839, -3.3 in decreasing order.\nAnswer: 16\/11, -3\/839, -0.4, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tct when three letters picked without replacement from {c: 3, a: 4, t: 6}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 468 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 31 = -5*d + 10, -z = 4*d + 6. Let w(i) = 6 + 0 - z + 2*i**2. Let c(x) = -24*x. Give c(w(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -8840 divided by 884\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(200)*-3*1.\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(243) - -3*(0 + sqrt(243)) - (((sqrt(243) + 1 - sqrt(243) - sqrt(243)) + -4)**2 + sqrt(243)) - (1 + -4*(0 + sqrt(243)))**2) + 3.\nAnswer: -225*sqrt(3) + 20708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20 - -12012220020?\nAnswer: 12012220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7.0286 and 48?\nAnswer: 337.3728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 2 - (11 - (9 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 + i - i + 3*i - 3*i + (1 - 4 + 5)*(-2*i + 0 + 0) + 0*i + 4*i - 2*i + i - i - i)*(-2 + 3 + 1) + 0*i - 8*i - i in the form r*i + u and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*m*r**3*x**3 - 17*m*r**3*x**2 - 9*m*r**2*x**3 + 2*m*x**3 - 2*r**2*x wrt r.\nAnswer: 24*m*x**3 - 102*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 23895569 and -0.6.\nAnswer: -14337341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of 5*y**4\/4 + 5*y**3\/6 + 2*y**2. Let z be n(4). What is the greatest common divisor of z and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:35 PM and 9:34 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -31 (c) -1511\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5150 - 33?\nAnswer: -5223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (36 - (1 - -27))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 - 11\/2 - 25\/50\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25769172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 123 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 162\/24*(-4)\/3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2806057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 204 - 125. Calculate the highest common divisor of 79 and o.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 5*n**2 - 4*n + 3. Let f be x(4). Suppose 0 = v + 5*r + 104 - 477, 0 = v + 2*r - 361. Suppose -2*c = -v + f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 + -5. Let i be (k + 0)\/((-3)\/(-51)). What is the highest common divisor of 187 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 20688 + -11277. Suppose 0*p + r = -2*p + s, 4*p - 18797 = 3*r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -630*h + 24206 = 4046 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/25? (a) 41 (b) -2 (c) 2\/7 (d) -37.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*p = 163*o - 166*o - 231, o + p = -0*o - 13 - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7655 is divided by 476.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 34739 times 0.05?\nAnswer: 1736.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/(-6)*(-18)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 111*x**2 + 4. Let p(k) = 2*k. Give p(y(a)).\nAnswer: 222*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 719 - 310. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 - 7. Let n = q - -1. Solve 2*i = 3*i + 5*f - 17, -2*i - n = -2*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.0380061 + 0.038. Round h to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 585721481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -24842*m**4 + 429*m**2*q**3 - 24187591*q**3 wrt m.\nAnswer: -99368*m**3 + 858*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*r - 14 = k - 32*r, k + 4 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 402 + -192. Let x = p - 120. Suppose -y - x = -5*o, 4*o + 2*y = 35 + 51. Calculate the remainder when 56 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, q: 1, s: 1, e: 5, u: 1, t: 2}. What is prob of picking 1 q and 1 g?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 3 - 1 = 0. Let x(r) = r**2 + 2*r + 3. Let j be x(b). Solve j*s + 2*s + u = -28, 0 = -s + u - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 + -2. Let u = -396749\/7 - -56401. Let l = u - -277. Put -4, l, t in decreasing order.\nAnswer: t, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 5:39 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**3 - 2*j**2 + 2*j - 1. Let d be b(1). Solve 0 = -5*w - d*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 0*w = 0. Suppose -2*k + w*k = -44. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(57))\/sqrt(3) - (sqrt(19)*-2)**2*4.\nAnswer: -304 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 15 = 2*l - 19, 3*c + l = -1. Put 1, -0.4, c, 95 in descending order.\nAnswer: 95, 1, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 24670 + -8859. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40, -148, -328, -580, -904, -1300?\nAnswer: -1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4216339 weeks to microseconds.\nAnswer: 255004182720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 11:19 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31472 divided by -8.\nAnswer: 3934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**2 - 43*p + 456. Calculate j(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -220 - 37*z + 220 to the form y*z + s and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 128177*c**3 + 104*c - 582.\nAnswer: 769062*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 3*d + 3 = 0, -2*d - d = 3*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 + 24*y**2 - 142*y - 1648. Let m be q(-27). Are 14\/5755 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**6 + 808007*i**4 + 838889*i**2 - 5*i wrt i?\nAnswer: 120*i**3 + 19392168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 39*h**2 + 4754*h - 4754*h + 2*h**2 - 2*h + 2*h + (1 + 1 + 0)*(4*h**2 + 0*h**2 - 2*h**2) as b*h + w*h**2 + o and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000017663032 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 149920 is divided by 6552?\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 4*d**3\/3 + 153520*d**2 - 921136*d\/3 = 0.\nAnswer: -115142, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -9.9464733 to 3 dps.\nAnswer: -9.946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -283 + 170d9?\nAnswer: 16e56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.1 - 0.2. Let u = x - 0.2. Let f = 316.5 - 318. Which is the third smallest value? (a) f (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34\/15 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -8*t. Let z(d) = 0 + 2*d - 2 + 9 - d. Let q be z(-6). Determine g(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11320200001 (base 4) to base 9\nAnswer: 2810374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**3 - 30*x**2 - 235*x + 8546. What is q(27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 + 13*r**2 + 38*r - 33. Give s(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 5*l + 2 = 8*z, l + 6 = z. Let p = 5.13 + -0.13. Suppose 0 = -0*a + 5*a - 0*a. Sort p, a, z, 0.3 in descending order.\nAnswer: p, z, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -165*q**2 + 40*q**2 + 42*q**2 + 43*q**2 + 47*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of 19*z**9\/504 + z**5\/6 - 17*z**2. Find the third derivative of k(j) wrt j.\nAnswer: 2280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 221664600 divided by -15.\nAnswer: -14777640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -10379, -20709, -30987, -41213, -51387, -61509, -71579?\n\"Answer: 26*n**2 - 10408*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1842)\/(-8) - 3 - 4\/16. Let f = 241 - d. Solve -10 = -6*c + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the third derivative of -d**5\/60 + d**4\/3 - d**3\/3 - 196*d**2. Calculate z(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2. Let v(l) = -l + 5. Let r(d) = 5*t(d) - 2*v(d). Let n(b) = 120*b. Determine r(n(u)).\nAnswer: 240*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -135*g**3 + 77*g + 3 + 274*g**3 - 138*g**3 in the form o*g**3 + t*g**2 + h*g + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77 is divided by 54?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 11335454 (base 7) to base 12\nAnswer: 403192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 164, 165, 166, 167?\n\"Answer: v + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and 97.617477.\nAnswer: -19.5234954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.25580993 - -0.25579. Round a to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -35*d + 212. Let z be j(6). Let y be (z - 4 - -2) + 12. Let v = 18 + -13. Solve -v*b - 3 = y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a93 - 0?\nAnswer: -a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (3 + (sqrt(19) + sqrt(19)*-2 + 1 - sqrt(1216)*-2))**2 + -3.\nAnswer: 120*sqrt(19) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3229 + 4222. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1508.647363 rounded to the nearest ten?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 198 and 1104070?\nAnswer: 9936630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -400 (base 16) to base 5\nAnswer: -13044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the second derivative of 13\/2*s**2 + 6*s + 0 - 1\/6*s**3. Let d be k(5). Calculate the highest common factor of d and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (297*i**2 + 3 - 3*i - 306*i**2 + 0*i)*(-i**2 - i + i).\nAnswer: 9*i**4 + 3*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 172*r**2 + 2 - 3*r + 3*r - 163*r**2 as w + l*r**2 + f*r and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1391*f - 1387*f - 22 = -2*m, 5*m - 22 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(-2))\/((-65)\/(-39)*124\/155)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (-44 + -3 - ((-9 + 3 - -9) + -5))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -155\/4 + 39. Let j = -2 - -1.5. Put c, j, 3 in decreasing order.\nAnswer: 3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -3 - -2 - (-34)\/16 and (-7 + 3 - -1) + (-70)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 32, 61, 92, 125?\n\"Answer: b**2 + 26*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of 65*j**6\/3 + 8*j**4 - 14399*j**3\/3 + 657. Find the third derivative of v(o) wrt o.\nAnswer: 7800*o**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 28 + -28.2. What is the nearest to o in 4, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-1 - 0) - (-9 + 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -460696*q**2*x**4 + 202*q**2*x - 4*q**2 + 105*x**6 + 3079*x**2 wrt x?\nAnswer: -11056704*q**2*x + 12600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 14438 times 0.1?\nAnswer: 1443.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 12*y + 15*y - 48*y + 25*y - 1. Let f = 1 - 0. What is l(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2. Let z = 4 - 2. Let p(c) = -c**2 + 2*c**2 + z*c**2. Calculate m(p(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 152198?\nAnswer: 2, 76099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8729353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 4*p - 2. Let x be 3\/8 - (-110)\/80*-1. Let y(m) = -m**2 + m. What is x*k(l) + 5*y(l)?\nAnswer: -5*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -77 + 83. Suppose -i*p + 2*p + 12 = 0. Suppose -h - p*o + 211 = 0, 5*o + 3 - 18 = 0. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 29*c**3 + 3*c**2 - 3*c - 6. Let t(r) = 59*r**3 + 7*r**2 - 7*r - 13. Give 6*t(g) - 13*z(g).\nAnswer: -23*g**3 + 3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 325, 256, 137, -32, -251, -520?\n\"Answer: -25*t**2 + 6*t + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 5984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*v - 20 = -313 - 79 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.05 + -1.05. Let c = 69 + -69.3. What is the third smallest value in q, c, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 273506014*r**2*w**3 + 5*r*w**3 - 154053*r*w**2 + r*w + 2*r - 2*w**2 - w wrt r.\nAnswer: 547012028*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 47041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j + 1. Calculate k(-25).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 17957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26865463.\nAnswer: 293, 91691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be -15 + 234\/13 + 35052. Calculate the greatest common factor of r and 570.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5184 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35257374?\nAnswer: 2, 3, 37, 167, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*z**2 + 223*z**3 + 0*z**2 - 8*z**2 + 749*z**3 to the form x*z + v*z**2 + b + s*z**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*m**4*x**3 + 1141*m**3*x**3 - 484*m**2*x - 6*x**3 wrt m.\nAnswer: 72*m*x**3 + 6846*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-71)\/355*(1 - (-1 + 2)). Let j = 136245\/4 + -33879. Let x = -181 + j. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1956 - 15561\/8. Let k = 15\/8131 - 607289\/3032863. Let h = k + -39023\/4476. What is the common denominator of h and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -539 + 544. Put 0, 0.05, -5, v in decreasing order.\nAnswer: v, 0.05, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 905 = d + 5*z, 0*z = -4*d + 3*z + 3551. List the prime factors of d.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 + 0 + (-1 - 0) - 4. Let z be 12\/3 - (-3)\/f*0. Solve -5*r = -6*u + 2*u - 12, -r = z*u - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7234\/5 + 1447. Let k = -1 - -1.02. Which is the second smallest value? (a) k (b) l (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/63 and -56\/33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 30 + 33 = 0. Let o(a) = 2*a**2 + 14*a - 9*a - 3 - u*a**2. Determine o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.8 - -2.2. Let g = -1 + t. Which is the second smallest value? (a) g (b) 2\/9 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(13) - (sqrt(325))**2) + sqrt(13) - (sqrt(117))**2*3.\nAnswer: -672 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.026 minus -8920307509?\nAnswer: 8920307508.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60707181 is divided by 8672454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 260 and 130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 572*j**3*x**3 + 17*j**3*x - 2*j**2*x**3 - 6*j**2*x**2 - 21*j*x**3 - 11*j + 14*x wrt x?\nAnswer: 3432*j**3 - 12*j**2 - 126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -28342017*g**2*p*q**2 + g**2*p*q - 5*g*p*q + 5589026*g*q**2 wrt g.\nAnswer: -56684034*p*q**2 + 2*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 - 2*x**2 + 3*x + 17. Determine t(-5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyvyvvvyvvvyv. Give prob of picking 4 v.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 210*h = 649*h - 11414 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**2 + 0*w**2 + 0*w**2)*(w**3 + 2*w + 89 + 45 + 306).\nAnswer: -2*w**5 - 4*w**3 - 880*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 41 + 197*y**3 + 84 - 4*y + 71 - 17*y**2 - 33 wrt y.\nAnswer: 1182*y - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 1213991 = -3*w, -4*g + 5*g + 4*w - 607012 = 0. What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 10*c - 16. Let z(q) = -q**2 - 16*q + 2. Let g be z(-16). Let k be p(g). Solve 3*u**k - 2*u**2 - 2*u**5 - 1873*u - 1 - 2*u**3 + 1876*u + u**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 - ((-2)\/2 - -1). What is the units digit of v + (2\/1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.108 (b) 10\/53 (c) 0 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the second derivative of -3*v**5\/20 - v**2 - 4*v. Suppose 2*r - 30 + 12 = 0. Let k(t) = 13*t**3 + 9. What is r*c(d) + 2*k(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/9 in -2\/3, 2\/3, 5, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 1, g: 1, d: 2, z: 1, r: 2, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7734806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 110432 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 1729*t - 3456*t + 1732*t - 4. Let h be (-35)\/6 + 3\/(-18). Let v(g) = g - 1. Determine h*v(d) + y(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 108 and 53406.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(343) - (sqrt(343) + -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 - 7*l**2 + 10*l + 20. Let q be n(-8). Suppose q*h = -5*h + 306. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/14*49\/70\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 43351554 + -1?\nAnswer: 43351553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1253744980 to the power of 1\/2, to the nearest integer?\nAnswer: 35408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -1452*u + 2900*u - u**2 + 6 - 1450*u + 5 + 0*u**2. Calculate v(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 15 (b) -4 (c) -3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 675*s + 32. Let z be p(8). Suppose 11*c - 3*c - z = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/4*-4*3. Let n = -9 - g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 15070*t - 2484. Is l(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 121 - -12440?\nAnswer: 12561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 3*g - 30 = 0, 0 = y - 2*y - 5*g + 24. What is the remainder when 268 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9268 + 13541. Let t be 385196\/90 - 4\/10. Let n = y - t. Calculate the common denominator of -63\/10 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 2 + sqrt(320)*-2.\nAnswer: -16*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -1\/2 (b) 1 (c) -5 (d) -8\/9 (e) 3\/4 (f) 0.1 (g) -3\/127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000139716725 rounded to 6 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.3 + 0.3. Let i = -107 + 106.16. Let g = i + 0.84. Which is the third smallest value? (a) -0.4 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 14*q - 117. Let h be c(9). Solve -4*s = -h*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y**2 + 3*y**2 - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is y in -5*y**3 + 17804095*y**2 - 71216320*y + 71216300 = 0?\nAnswer: 2, 3560815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 34\/5 of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2304)\/14*1239\/(-354). Calculate the highest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41 + 2*r**2 - 48 + 132 - 43.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15.263 + 0.163. What is b rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 260 and 1456.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -5*f**3 - 92015*f**2 - 1011610*f - 919600 = 0.\nAnswer: -18392, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 94471902 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -160, -158, -156, -154, -152, -150?\n\"Answer: 2*g - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*x**2 + 9*x**2 - 13*x + 2*x**3 - 22*x**2 + 7*x**2 to the form y*x**3 + f + v*x**2 + k*x and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 - -7.12. Let s = -1.12 + r. What is the closest to 2\/5 in 0.5, s, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (87\/(116\/4))\/((-15)\/(-19)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2267\/10 + -227. Let y = 1\/20 + t. What is the second smallest value in y, -3, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2*k = -46, 54*k = -j + 57*k - 11. Calculate the least common multiple of 9690 and j.\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1752.773 + 1749. Let r = z + 3.7. Let c = r + 5.073. Put c, 6, -4 in descending order.\nAnswer: 6, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 162845 is divided by 23262.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((q\/q**0)\/q)\/q)\/(q**9\/q))\/(q**(-1\/3)\/(q**8\/q)))**(-10\/9) assuming q is positive.\nAnswer: q**(50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -42 (base 12) in base 2?\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - u + 22 = 0. Suppose s + 1 = 2*i + u, 0 = 5*i. Is 2 - 3 - s*-8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m**4 - 620*m**3 - 11072*m**2 - 36976*m - 34560 = 0.\nAnswer: -135, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-24)\/22*(-4)\/(-8). Let i = 1.7 - 2. Let v = -3 - -1. Which is the second biggest value? (a) v (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8866 - -8866.2. Suppose 0*j - 3*j + 18 = 0. Let v = -8 + j. Which is the closest to v? (a) -2 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13500540 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/10816 (b) -0.8 (c) 0.1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-3))\/((2\/(-25))\/((-29)\/145))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 996 divide 106094807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/y**(-2\/15)*y**(-6\/13)*(y**3)**39 assuming y is positive.\nAnswer: y**(22946\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 59 in -3, 0.5, 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -71*f**3 - 1. Let p(j) = -j**2. Let g(x) = -p(x) + q(x). Let c be g(-1). Suppose 4*n = -5*t + c, -3*t = -0*n + 4*n - 73. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 - 5. Suppose 94 = o*i - 46. What is the remainder when i is divided by 224\/22 + (-4)\/22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -17. Let n(p) = -128*p - 15. What is 2*b(s) - 2*n(s)?\nAnswer: 256*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 + -19. Suppose 3*g = -5*b + 2, 3*b - g + u = 1. List the prime factors of (b\/(-4))\/((-1)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**4 - 3247434*a**3 + 1757621693256*a**2 - 317083155210831328*a - 4756642804003643520.\nAnswer: 2*(a - 541244)**3*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.3200038 + -0.32. Round r to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2*z + 24. Let f(n) = -366084*n**2. Give j(f(s)).\nAnswer: -732168*s**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1116, 2227, 3342, 4461, 5584?\nAnswer: 6711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 2*s**2 - 3230*s + 86936. Calculate b(27).\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -1525 greater than -1526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is (-46835)\/(-57) + (-4)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m - 7. Let l(s) = -62*s + 22*s + 14 + 37*s + 6. Give 6*l(p) + 17*v(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 1\/3, -2\/7, 2, -37435, -0.05, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, 2\/13, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1176*v**3 - v + 7*v**4 + 8 + 1176*v**3 to the form t + d*v + m*v**3 + n*v**2 + r*v**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2277 + 20316*w + 2277.\nAnswer: 20316*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = y. Suppose y*z + 17 = z. Suppose 2*n - n = z. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times -20351?\nAnswer: 2035.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 41*f + 778. What is the units digit of w(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z + 61962 + 762438 = 0. Round z to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (118 + 49 + 58)*(0*r + 2*r - 4*r)*(3*r + r - 2*r).\nAnswer: -900*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 21087847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 5135 = 19*t - 20*t, -15455 = -3*t - 2*h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -7 - 3*f + 0 + 4*f**3 + 4*f**2 + 5*f - 5*f**3. Let l be w(4). Let u = -102.4 - -100.4. Which is the nearest to u? (a) l (b) -2\/17 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -3 (b) 4 (c) -0.277 (d) -0.3 (e) 6 (f) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - 21232011?\nAnswer: -21232003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(2\/9)*a)**(-49)*(a*a\/(a\/(a\/a**(-9\/2))))\/(a\/(a**13*a)*a) assuming a is positive.\nAnswer: a**(-1235\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-106)\/(-53)*(-285)\/(-30).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 7\/1396, -1\/4, 20\/9 in increasing order.\nAnswer: -1\/4, 7\/1396, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 times -8.64?\nAnswer: 0.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6075, 11530, 17007, 22506, 28027?\nAnswer: 33570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bpbbppbbpbbbbbbp. Give prob of picking 2 b.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 76 a factor of 1758488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 4*w + 3973 = 0, 11*w - 14*w + 3179 = 4*c. Calculate the remainder when c is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, 514\/9, -0.3, 0.116, -5, 0.05?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1735943m in micrometers?\nAnswer: 173594.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 198 divide 76407788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3 - -4) + -4 + (-3437)\/(-1). Let n(b) = -3434 + b**2 + b**2 + h. Let q(y) = -2 + 2 + 15*y**2 + 0. Calculate n(q(r)).\nAnswer: 450*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 6638 - 170858255\nAnswer: -170851617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 - -83572.158551.\nAnswer: 83572.158551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.6 - 5.6. Let r = s - -161.2. Let j = -155.0119 + r. Round j to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 j, and 1 c when three letters picked without replacement from {q: 1, i: 1, c: 8, j: 4, o: 1}?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 85902316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 88575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 316*f**2 + 201*f + 438. What is the thousands digit of j(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*u - 3*b - 6, -u + 6*u = -3*b - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 155062 - 108801. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, 10, 2, 267\/640, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -106 (b) -3\/2 (c) -4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17*g**4 + 10*g**3 - 27*g**2 + 3*g - 307217.\nAnswer: -68*g**3 + 30*g**2 - 54*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6919*j + 10251 wrt j?\nAnswer: 6919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in -0.4, -6, 0.3, -6\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 94122430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 AM and 1:22 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 359993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 274 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 71 = 44*w + 27*w. Which is the second smallest value? (a) w (b) -1.17 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -c - 4. Suppose c*h + 1061 = -5*i, 3*h + 5*i = h - 704. Does 16 divide h\/(-12) + 2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -6 + (-273)\/(-15) - (-2)\/(-10). Let u(s) = 6*s + 93. Let c be u(a). Calculate the highest common divisor of 30 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1288 divide 83529376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.4 - -5.4. Let o = -1.1 + -1.9. Let x = j + o. Which is the nearest to x? (a) 3\/7 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 15 - 3*s - 7 + 8 - 1. Suppose 42 + 14 = 7*m. Let n be y(m). Round n to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**2 - 6*b + 11. Let m(h) = h**3 - 15*h - 26. Suppose 0 = -5*w - 2*t - 11, -2*t - 3 + 4 = w. Let s be m(w). Determine c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 50 (base 14) to base 10\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-6) + (-26)\/36. Which is the nearest to m? (a) -1\/5 (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (v + v - v)*(1 - 3 + 1)*(-2*v**2 + 4*v**2 + 4*v**2).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1103 + 1104. Let f = -127\/17 + 75091\/10047. Let a = 1208\/7683 - f. What is the third smallest value in a, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1337, -2672, -4007, -5342, -6677, -8012?\n\"Answer: -1335*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15728 + -9181. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/15 in 1\/5, 12, -1, -7, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 - 722*s + 3662. Determine z(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 + 2*y**2 - y. Suppose 3 - 1 = 2*b. Let f be i(b). Solve 1 = o - f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2164*a**3 + 3 + 444591875*a**2 - 4 + 1 - 444591872*a**2.\nAnswer: -2164*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(396) + -5 - sqrt(396))**2 - (4*1*sqrt(396))**2) + (sqrt(396) + (sqrt(396)*-2 - sqrt(396)) + 4 + sqrt(396))**2*5 + -1.\nAnswer: -4261 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l + 1. Let v(m) be the second derivative of m**3\/2 + 2*m. Let y(g) = -5*g - 1. Let r(o) = 3*v(o) + 3*y(o). Let n(h) = -4*j(h) - r(h). Calculate n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {z: 3, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v and 1 r when four letters picked without replacement from rrvrvrrrvr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1257, -1251, -1245?\n\"Answer: 6*i - 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 3. Let p(d) = -2*d - 1. Let j be p(z). Solve c - j*u + 25 = -4*c, -2*c + 5*u = 29 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 240 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 500 and 20825.\nAnswer: 416500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10117, 19939, 29413, 38365, 46621, 54007, 60349, 65473?\nAnswer: 69205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1100 = -10*b - 0*b. What are the prime factors of b\/(4 - 9 - -3)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*t = 12*t - 28. Suppose -5*f + t = -d - 11, -5*f + 14 = -3*d. Suppose 8 = -d*l + 14. Let n(x) = -x**3 + 4*x**2 - 2*x - 1. Calculate n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-15)\/(-9))\/((-44)\/275646). Let s = b - -10443. What is the common denominator of -5\/6 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1138496352 rounded to 3 dps?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.05 (b) -10 (c) 9 (d) 4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -2*l**3 + 74*l**2 + 112. Let v be z(37). What is the highest common factor of v and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -59750926*p + 400922324.\nAnswer: -59750926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -95 + 99. Let j be (-12)\/4 + -1 + r. Suppose 3*m - 6*m + 198 = j. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 35 = 2*x. Let w = x - -44. Let h(m) = 98*m**2 + 3*m - 2. Let p be h(1). What is the greatest common factor of w and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -132 + 130. Let s be (-8)\/(-20)*(-130)\/6. Let x = 9 + s. Which is the smallest value? (a) -0.5 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*g - 7*g - 6*g + 7*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.917 - -2.007. What is the nearest to -2\/3 in 0.1, 5, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 972 is divided by 243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 82 (base 16) to base 5.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 12*f**2 + 2*f. Does 15 divide c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.048817824 - -2215.208517824. Let z = i + -2215. Let w = -0.16 + z. What is w rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 7*v - 166000. Round v to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 912784, 0, 10, 1 in increasing order.\nAnswer: 0, 1, 10, 912784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a and 1 r when four letters picked without replacement from {r: 1, a: 3, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 1 - 3. Let j be x - (2\/(-5))\/((-2)\/10). Suppose j = -4*v + c + 13, -1 = 3*c + 2. Solve v*s + 8 = 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -114*m + 786. Determine h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 1, -2\/1549 in descending order.\nAnswer: 3, 1, 0, -2\/1549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 11*g - 1. Let b be q(-2). Let o(j) = -4*j - 39. What is the units digit of o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5696 - -5629.49. Let p = -32 + 98. Let o = p + t. What is o rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 4*a + 106240, 0 = l - 420*a + 415*a - 26584. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 12*g**3 - 322*g**2 + 11. Let a(u) = 4*u**3 - 108*u**2 + 4. Determine 8*a(o) - 3*y(o).\nAnswer: -4*o**3 + 102*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -28798195\nAnswer: 2\/28798195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 871386210?\nAnswer: 2, 3, 5, 9682069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*f + 33 = 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -64 - -2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 677 divide 10894284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -73, -20\/9, 4\/503?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -57.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j - j - 3*j)*(-207*j**3 + 3*j**3 + 27*j**3) + j**4 + j**4 - 4*j**4.\nAnswer: 175*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 86954041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*s*u**3 + 5*s*u**2 + 6*s*u + 4*u**4 - 17*u**3 wrt u.\nAnswer: -18*s + 96*u - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 198 or 220?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 15 + 5. Let g = 3 - 2. Calculate the smallest common multiple of u and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 196 = -2024*o + 2021*o, -500 = 8*o + 5*l for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((125\/(-30) - -4)*4)\/((-3)\/202923)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-11)\/(198\/40))\/(18\/(-81)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -531 + 540 - (-15 - 0 - 0) - 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -5*g + 25, -5*g = -4*u - 64 + 14. Suppose -g*s = -s - 315. Is 7 a factor of 14\/s + (-457)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 184 = w, -908 = -5*q + 4*w - 2*w. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -41, -33, -17, 7?\n\"Answer: 4*z**2 - 4*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 639490 and 24?\nAnswer: 7673880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 9 = 3*b, -3*c - 14 + 5 = -3*b. Suppose 3*q - 48440 = -2*l + 119552, 2*q - b*l - 112012 = 0. What is q rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 22050010 = -2*z, 2*r - 9665492 = 3*z - 845507. What is r rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 317*t = 318*t + 4*p + 51, p - 1 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 311 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(2*4*sqrt(220)*-1)\/((sqrt(50)*1)\/sqrt(10) - (sqrt(605)*-2 - sqrt(605))).\nAnswer: 32*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**3\/4 - 106011*q**2\/4 + 234145170*q - 234118668.\nAnswer: 3*(q - 17668)**2*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7090383 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:08 AM and 8:33 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30, -47, -104, -219, -410, -695, -1092?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1981243897, 1981243899, 1981243901, 1981243903?\n\"Answer: 2*d + 1981243895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/((m*m\/(m*m**(3\/7)))\/m))\/m*m**(-1\/9))\/(m*m**(5\/4)*m*m**(-3\/8)*m) assuming m is positive.\nAnswer: m**(-1793\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -187, -141, -105, -85, -87, -117?\n\"Answer: -f**3 + f**2 + 50*f - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:21 AM and 1:05 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 922954711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*j - 20. Calculate the highest common divisor of j and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 5*w**2 + 174*w + 717. What is z(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/w**4*w*w)\/w)**(-6\/5)*w**(-2\/41)\/((w\/(w\/w**(-2\/27)))\/w))**(1\/10) assuming w is positive.\nAnswer: w**(18959\/55350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-27)*(-39)\/(-52)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*j**2 + 8088*j - 8088*j.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1344443 (base 8) in base 16?\nAnswer: 5c923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 193*v - 41*v - 1568*v to y*v + q and give y.\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 33263.802 seconds to hours.\nAnswer: 9.239945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 PM and 4:16 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 4 = a - 0, 4*a - 74 = -2*i. Suppose n = -2 - 1, -3*p + a = -n. Solve -j + 3*q = -2, -5*q - 4 = p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -4\/88107?\nAnswer: -4\/88107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1404200 + -23344?\nAnswer: -1433044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2*a**3 - 2 + (1 - 1 - 1)*(6*a**3 - 3*a**3 - 2*a**3) - 3*a**3 + 2*a**3 + 3*a**3 + (-3*a**2 + 6*a**2 + 2*a**2)*(-2*a + 2*a + a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - (-24 + 19)) + 11 - -26?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2430 divided by 5.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 AM and 4:26 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125372?\nAnswer: 2, 13, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -149, 136, 425, 718?\n\"Answer: 2*x**2 + 279*x - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 131734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -90*j + 93*j + 249. Let y = -79 - j. What is the greatest common divisor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 + -3 + -8 + 4 + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 - 21 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 5*d**2 - 4*d - 1. Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -573*j - 590. Is s(-22) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*d + 3*d - 7*d)*(-5 + 5 + 1) - 2*d - d - d)*(-616*d - 607*d + 20 + 1224*d).\nAnswer: -5*d**2 - 100*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -284 + 129. Let z = o + 164. Let s = -3 - -8. Solve -u - z = -3*t, -3*t + 4*u + 13 = -s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2752 a factor of 441329106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 294372 divided by -5772\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 28, 7, -2, 4 in increasing order.\nAnswer: -2, 4, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2772, 3454, 4136, 4818, 5500, 6182?\n\"Answer: 682*h + 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 13 - (-3 - -3 - -19) - 1 - (-4 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 8) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 27.61 - 29.41. Sort o, 4\/7, -0.77.\nAnswer: o, -0.77, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 34 (b) 4 (c) -28.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-1311)\/(-114)*-8*5\/(-20)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 2*z - 16. Suppose z*h - 40 = -2*g, 3*g = -g - h + 101. Calculate the remainder when g is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, f: 1, g: 1}. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - 5. Let y = -26120\/123 - -637\/3. Sort w, -0.2, 0, y in ascending order.\nAnswer: -0.2, y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the third derivative of -n**4\/24 + 18*n**2. Let p(s) = 18*s**2. Give u(p(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iyiiwjjiwiykiy. What is prob of sequence jwi?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 8*s**3 + 0 - 5*s**3 - 6*s - 1.\nAnswer: 3*s**3 - 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hnnh. Give prob of sequence nhhn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10716?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t = -0*t - 2*h + 2, -5*t + 5*h = -15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 9\/4 (c) 2.1 (d) -4\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 9475061543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of g**3*h**4 + g**3 + 2*g*h - 118*g + 27*h**5 wrt h?\nAnswer: 12*g**3*h**2 + 540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find y such that y + 4 + 6*y - 4*y**2 + 5*y - 4*y - 8*y**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -61, -49, -31, -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l**2 + 21*l + 6. Let y(w) = -4*w**2 - 42*w - 11. Let i(t) = -5*d(t) - 3*y(t). Let k = 11 - 23. Does 15 divide i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/(1*sqrt(242)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -444 (base 10) in base 12?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 100.2 - 121. Round a to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19.1082465 hours in weeks?\nAnswer: 0.1137395625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 + 7*g**2 - 10*g - 12. Let z = 246 - 361. Let h = 107 + z. Let d be r(h). Solve q + d = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 3*k - 3. Let b = 46 + -49. What is r(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 283.4 + -283. What is the third smallest value in -1\/54, 3\/2, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2105, 2948, 3843, 4784, 5765, 6780, 7823?\n\"Answer: -b**3 + 32*b**2 + 754*b + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*b - 2*b - 41*b)*(-2 + 0 + 4).\nAnswer: -104*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-64)\/(-12) - ((-32)\/(-6))\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -32577 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 - 3*c - 117. What is k(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2\/11 - 188*x\/11 - 2106\/11.\nAnswer: -2*(x + 13)*(x + 81)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 2) + -2 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 2*t. Suppose t = v - 4 + 1. Suppose 0 = v*r + 9 - 108. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1152 is divided by 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 205 + -163. Does 9 divide 5*(o - (-5 + 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f + 1. Let n = -10 + 4. Let g(b) = 7*b - 6*b - 4*b - 2. Determine n*g(q) - 15*a(q).\nAnswer: 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20? (a) -5 (b) 15718 (c) 2 (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 14 = r + 7, -2*f - 5 = -5*r. Is -8\/33 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -27216 divided by 140\nAnswer: -972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 5*c**2. Let f(d) = 185312*d**2. Determine f(p(t)).\nAnswer: 4632800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-21)\/(-9) + 4\/6. Suppose l - 118 = -2*z - n*l, -l + 152 = 3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*v = 7*v + 60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-3)\/(5\/((-875)\/15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 9*x**2 + 5*x**2 - 342*x + 342*x. Let f(d) = 5*d**2 + 12*d**2 - 16*d**2. What is t(f(j))?\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 80 - 56. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 273 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 3:11 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -241959 minus -7267?\nAnswer: -234692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*l**3 - 41*l**3 + 3*l**3 + 131*l**3 - 327*l**3.\nAnswer: -317*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*w**2 - w**2 - 2*w**2 - 3*w**2 - 2*w**3 to k + z*w**3 + l*w**2 + d*w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 3*a + 1. Let d be f(2). Suppose 3*o + 4*k = d, 3*o - 4*k = -k - 21. Let p(t) = -t**3 - 3*t**2 - 4*t - 2. What is the units digit of p(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.04965 - 4.25735. What is u rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 2*t + 7*i - 13, -27 = -3*t - 5*i. What is the first derivative of 76 + 18 + 28 + t + 117*x + 18 wrt x?\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 20 (base 4) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 + -1 + -10 + 23. Suppose -b - o = -3. Calculate the remainder when 39 is divided by (-170)\/(-8) - (-2)\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -20 (b) 1 (c) 16192\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8713106 centuries to millennia.\nAnswer: 0.08713106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 + 1. Solve -p*k - k = -25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -1368*h - 699. What are the prime factors of u(-6)?\nAnswer: 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 435910 and -4.\nAnswer: 435906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-24 + 4) + 47866\/(-28930)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (((-2)\/(-56))\/(5\/(-15)))\/((-6)\/8)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -18\/1020395 and 119\/2839360.\nAnswer: 65305280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 100 divide 71761048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 35, 2, -5, 5, -14, -4, 674 in increasing order.\nAnswer: -14, -5, -4, 2, 5, 35, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 0.5, -16, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in fifty-one fifths of a millennium?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -44810, -179155, -403062, -716531, -1119562, -1612155?\n\"Answer: -44781*b**2 - 2*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sj when two letters picked without replacement from {l: 2, s: 2, b: 4, j: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 2205\/(-98)*4\/(-18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.62874km in meters?\nAnswer: 2628.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -8038 - -1718.259?\nAnswer: -6319.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**2 - 15*x + 3. Suppose 6*i - 3*q - 20 = 4*i, 5*i - 3*q - 50 = 0. What is the common denominator of -37\/11 and b(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2656613218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9.931 and 513?\nAnswer: 5094.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -43 + 517?\nAnswer: 4d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 703870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + 9)\/(-35*(-11)\/110)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 33192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/41, 0, 1173, -4\/9, -2 in decreasing order.\nAnswer: 1173, 0, -2\/41, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18878 is divided by 726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is (28\/(-42))\/(2\/(-126)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 AM and 7:51 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(243)*2)**2 - -6*2*sqrt(3).\nAnswer: 12*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 24 = 4*k - o, -5*k = -4*o + 21. Sort -14, k, 0, 4, 1.\nAnswer: -14, k, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.2, -14386, -5\/6, 2\/19 in increasing order.\nAnswer: -14386, -5, -5\/6, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -w + 2*r, 0 = -8*w + 3*w + r - 5. Let s(n) = n**2 + 5*n + 1. Let p be s(-4). Which is the closest to -2? (a) p (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-28)\/8 + 3)*14. Is 3 a factor of ((-60)\/(-35))\/((-2)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 4*f**3 - f**2 + f. Let b be x(1). Solve 0*p + 4*p = b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 9:43 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:29 PM and 3:10 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*o**5 + 33*o**4 - 53*o**3 + 31*o**2 - 4.\nAnswer: -(o - 2)*(o - 1)**3*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -2*h**3 + 73*h**2 - 35*h + 24. Let y be d(36). Let i = 35 - y. Round i to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 + 13*y**2 + 12*y - 131. What is t(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 46, -4, -3, 2, 6.\nAnswer: -4, -3, 2, 6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -486930 divided by 48693.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 459, 598, 845, 1212, 1711, 2354?\nAnswer: 3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 7240276 (base 9) to base 14\nAnswer: 728592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90*f = -85*f - 50. Let s(z) = -8 - f + 28 - 9 - 5*z. Determine s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6591 + 1661 = 89*p - 379*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 64.6 + 12.4. Let q = -77.000039 + f. What is q rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) 2 (c) 9 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 26 times 5750\nAnswer: 149500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*j**3 + 4*j**3 - j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1010 is divided by 272.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 4067854 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0025038112 to 6 dps.\nAnswer: -0.002504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7299520 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1538 is divided by 741?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/1183)\/(11\/((-1430)\/(-60))).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -75 + 119. Suppose 0 = -5*w - 97 + 437. Let i = w + k. Is i a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -559 + 570. Suppose 1953 = f*q + 1920. Find k, given that 27\/5*k - 3\/5*k**4 - q*k**3 - 9\/5*k**2 + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20 - -81\/4. Suppose -4*k + 6 = -2*u - 9*k, -u + 12 = -5*k. What is h in 0*h + 0*h**3 + 1\/4*h**u + 0 - f*h**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 62\/2*(-12)\/6. Let u = j - 149. Is 2\/8 - u\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5824020 and 859.\nAnswer: 5824020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 19454905, 38909811, 58364717, 77819623?\n\"Answer: 19454906*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, 0.03, -78\/14735?\nAnswer: -78\/14735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/21 or -467?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*k*o**2 - k*o - 25559*k + 2*o**2 - o with respect to o.\nAnswer: -14*k*o - k + 4*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 10 = -15. Let s(x) = -x**3 + 3*x**2 + 12*x + 3. What is the remainder when 49 is divided by s(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002118 rounded to six dps?\nAnswer: -0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 2*b - 115 = 6*b, 5*b = 4*v - 471. What is the greatest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -59.690993 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 76.8014455 to 1 decimal place.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (q**4 + 2*q**4 - 2*q**4)*(1177 + 449 - 447 + (5 - 4 - 2)*(0 - 5 + 3)) to b + h*q + k*q**3 + n*q**2 + o*q**4 and give o.\nAnswer: 1181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 19571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (18 - 21 - 10)*(-3 - 1 - 2*t**2 - 1).\nAnswer: 26*t**2 + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w - 3*z - 15, 56*w - 52*w - 3*z - 12 = 0. Let o(u) = 4*u**3 + 7*u. Let n(q) = -3*q**3 - 3*q - 2*q**3 + 3*q**3. Determine w*o(s) + 7*n(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -91177706 - 206218\nAnswer: -91383924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 93 at most 3432\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 41*p**2*w + p**2 - 2*p*w + 5*w + 7 wrt p?\nAnswer: 82*p*w + 2*p - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -1. Suppose 4*k = 2*j + 24, -2*k = k + 5*j + 8. Suppose -3*o = 3, -k*q + 10 = -5*o - 7. Which is the biggest value? (a) 4 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 184*t**2 + 14*t + 33. Let d(f) = 123*f**2 + 10*f + 22. Let m = 182 - 187. Let a(q) = m*v(q) + 7*d(q). What is the derivative of a(u) wrt u?\nAnswer: -118*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1405324 - 10352?\nAnswer: 1354532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.037402 meters to kilometers.\nAnswer: 0.002037402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000221621 to 7 dps.\nAnswer: 0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 758 (base 9) to base 13\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.056 + -28.056. Let k = 28.00000021 + x. What is k rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10504512 rounded to the nearest one hundred thousand?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-64 - 13 - 24 - 161)*(0*z**2 + 3*z**2 + 0*z**2).\nAnswer: -786*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 24236.0000009212 - 24236. Round z to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-10)\/(-4))\/(6\/(-12)). Let b be -1*(1 - 4)*d. Let q = 50 + b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1117 - 4*k + 1117 - k - 2*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 4531533 - 4368467 = 0. Let l be 4 - (i + (1 - -3)). Round l to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 727816429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiiissuiisiiiiuiiii. What is prob of picking 3 s?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 - n + 129. Let l be g(0). Let t be 2 - (l\/27 + 2\/9). Let r = 3 + 0. Put -2\/3, r, t, -4 in decreasing order.\nAnswer: r, -2\/3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) -0.05 (b) -1.1 (c) 101 (d) 0.5 (e) -6 (f) -1 (g) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:11 PM and 9:57 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 137873953.\nAnswer: 7, 43, 458053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -551 rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 504280404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6423 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.18 - -0.18. Let t = b - -29. Let l = t - 28.9946. Round l to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 60*z**2 - 57*z - 406. What is the least common multiple of 22 and x(-8)?\nAnswer: 42790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -77 = 102*x - 91*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*p - 210*p - 594 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 + 3*r**2 - 13552*r - 94872. Determine d(-7).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*u = -0*u + 125. Solve o - u = 0, -2*d + 21 = 3*o + 2*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 221 + -306. Let s = p - -88. Which is the closest to 9? (a) -0.4 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 778 divided by 1816.\nAnswer: 389\/908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-4))\/((530\/(-24))\/5). Let w = 189\/265 + h. Let c = -68.7 - -69. What is the second biggest value in -5, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/(-21))\/(-1 + 3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 8 = l - 0*l, l = -3. Let i(q) = q**3 + 4*q**2 + 3*q + 3. Let s be i(-3). Factor s*d**5 + 2*d**4 + 2*d**2 + 6*d**3 + 4*d**4 - d**r.\nAnswer: 2*d**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of -d**4\/12 - 5*d**3\/6 + 4*d**2 + 2*d. Let b be g(-6). Suppose -15 + 3 = -b*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -10727291800 to the nearest 1000000.\nAnswer: -10727000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 6104117 (base 9) to base 4.\nAnswer: 30121220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the second derivative of 3*t**3\/2 + t**2 + 20*t - 1. Let y(z) = 90*z + 21. Determine 63*m(r) - 6*y(r).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + -2 - (-6 + 7)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 0*k = -5*g + 4, -5*g + k + 7 = 0. Suppose 2*v + 6*j + 11 = j, -2*j = -4*v + 14. Solve 2*z + 2*c - 4 = 4, 0 = g*z - v*c + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 3044530.3 days?\nAnswer: 434932.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) 2 (d) 5.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 6:08 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 171691 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**3 - 20*f**2 + 52*f - 7. Give v(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 2*o - 12314, 4*o = 2*p + 1786 - 7948. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - l**5 - 4 + 4 + l**5 + 2 - 2*l**5 - 2 + (4*l**2 - 2*l**3 - 4*l**2)*(3*l + l**2 - 3*l) + 0*l**3 + 0*l**3 + 2*l**5.\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a + 1 + 11 - 1. Let d(o) = -o**2 - 16*o - 24. Let w be d(-14). Let p be (-3)\/30*w - 14\/(-35). Determine k(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 18 = w. Let n be 2 - 1*10\/w. Is n at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 168? (a) 0 (b) 1 (c) 0.2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sj when two letters picked without replacement from {j: 3, s: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kcuuuecucu. Give prob of sequence kecc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 282744 and 10152.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s + 118052*s**3 - 3*s - s - 118060*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2*(1 - 20\/(-8)). Suppose -4*n - 4 = -4*s, -5*n + b - 19 = 2*s. What is the remainder when 64 is divided by (9 + -31)*(n + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 35 = l - 6*l, 5*n - 27 = 3*l. Let x = -100 + 102. Let d be ((x - 3)*-3)\/(4\/16). What is the greatest common divisor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 724981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(10)\/((sqrt(12)*1)\/sqrt(6)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -403172503622 - 0.5.\nAnswer: -403172503622.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4 - (2 + -1 + 1). Suppose a*n - 14 = 28. Suppose 4*o = n - 5. What is the highest common factor of o and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-1*(-8)\/(-28)). Let u(z) = -1. Let l(w) = w + 3. Let y be (2\/((-6)\/(-3)))\/(-1). Let k(a) = y*l(a) - 6*u(a). Determine k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 33*n**5*z**2 - 448698*n**3*z**3 + 4*n*z**3 + 2873*n*z**2 - 2*n*z - 9*z**2 + 7 wrt n?\nAnswer: 660*n**3*z**2 - 2692188*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of g*i**3*r*t - 3322158*g*i**3*t**2 + 6*g*i**2 + 2*g*r*t + 2*g*t**2 - 4221*i**2*r*t**2 - i*r*t**2 wrt i?\nAnswer: 6*g*r*t - 19932948*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -323, -280, -213, -122, -7, 132, 295?\n\"Answer: 12*w**2 + 7*w - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the second derivative of -t**5\/20 + t**4\/12 - t**3\/6 + 13*t**2\/2 - 4990*t. Calculate l(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 7 = -22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -558676071 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1835977 is divided by 83.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 9*r + 5. Give w(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 69 = -36. What is the remainder when (-1666)\/(-11) - (-6)\/a is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 18945 + 81390 = 0. What is the hundreds digit of y\/46*((-18)\/(-10) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*m = -5*k - 337, m - 37 = -5*k + k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -41\/581 + -6\/83. Let f = -1.7 - -1.2. Sort 1, m, 0, f in decreasing order.\nAnswer: 1, 0, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 185*v**2 - 3*v - 3. Let u(f) = 557*f**2 - 8*f - 8. Calculate -8*h(j) + 3*u(j).\nAnswer: 191*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -1035002*g**3 + 3*g**2 + 4. Let p be r(2). Round p to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79688 is divided by 36311?\nAnswer: 7066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1*3*(-1)\/15. Let a(d) be the third derivative of -1\/70*d**7 + 0*d**3 - z*d**5 + 1\/10*d**6 - d**2 + 0 + 0*d**4 + 0*d. Solve a(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40460257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94*s**2 + 47*s**2 + 15*s**3 - s + 47*s**2 - 23*s**3 - 11*s**3.\nAnswer: -19*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/20 and 11\/10 - (-1 - 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002943724 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 262, 398, 652, 1042, 1586?\nAnswer: 2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:35 AM and 1:21 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5*d + 7 = -3*t, -2*t = -4*d + 10. Suppose -52 = -d*l - 11*l. Solve -j - p - 2*p + 19 = 0, -l*j - 4 = -4*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**3 + 31*s**2 + 17. Suppose -4*a - 15 = -l - 47, -l - 25 = -3*a. What is the remainder when p(-31) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y + 26. Let p(o) be the second derivative of 5*o**2\/2 + o + 30. Give 2*a(l) - 11*p(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 956 + -529. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9.1000138 - 9.1. Round p to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-34060)\/(-195) - (2\/(-6))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (3 + -7604)\/(3\/(-9)). Suppose -27*z + 24*z = -v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/19 (b) -1\/5 (c) -63 (d) 4 (e) -3 (f) 0.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the first derivative of 32\/3*k**6 + 0*k**2 + 0*k**4 - 3*k - 1\/3*k**3 + 0*k**5 + 62. Find the third derivative of c(j) wrt j.\nAnswer: 3840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 3*h**2 - 2*h. Let w be (-7 - -5) + -4 - -2. Determine o(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -13*w**2 + 163*w - 82. Let t be k(12). Solve t*p - 8 = -x, 0 = x - 5*p + 11 + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 7*l**2 - 25*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**2 + 30*b - 44. Let c = 18078 + -18059. Give v(c).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 547346 is divided by 547264?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1943*q**5 + 227*q**4 - 153471*q**2 + 20*q?\nAnswer: 116580*q**2 + 5448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 110905127?\nAnswer: 17, 43, 151717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 72, 19, -48, -117, -176, -213?\n\"Answer: 2*g**3 - 19*g**2 - 10*g + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.22917 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 375 - 1052. Let d = u - -616.2. Round d to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -10100011001000110101 (base 2) to base 5\nAnswer: -132340323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -114 + 269. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*q = -7*q - 852. Calculate the remainder when q is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/311355 and 58\/21645.\nAnswer: 4047615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*a + 3*a - 20 = 0. Solve 4*g = 3*y + 17, -2*y - 9 = -a*g - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 763093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -169*i**3 - 2*i**2 - 2*i - 2. Let u(y) = 344*y**3 + 5*y**2 + 5*y + 3. Calculate 5*m(h) + 2*u(h).\nAnswer: -157*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -101?\nAnswer: -8\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.4 + 832\nAnswer: 831.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1.7 (b) -13 (c) -57 (d) 1 (e) -5 (f) 4 (g) 3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 9158 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -5085 (base 10) in base 8?\nAnswer: -11735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4698.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 127, 130, 133?\n\"Answer: 3*v + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2924459 and 357.\nAnswer: 61413639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 15048376007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (1 + 0 - -1) + 40\/(-21)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*5*(sqrt(162) + -1))**2.\nAnswer: -7200*sqrt(2) + 65200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 29.40047 rounded to zero decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 19*y**3 + 2*y**2 - 14*y + 10. Does 17 divide o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2168485 is divided by 146.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 522131?\nAnswer: 67, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16472 and 166112?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - ((-324)\/60 - (-4)\/10). Suppose -q*r = -7 - 17. Solve -4*z - 3*f - 4 = 0, -2*z + 3*f - r = 5*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.0135 in -546, -7\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-22)*k**(2\/55)*k*k\/(k**(1\/2)*k)*k\/(k**5*k)*((k*k\/k**(-4))\/k)\/((k\/((k\/(k**0\/k))\/k*k))\/k) assuming k is positive.\nAnswer: k**(-2141\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What is 19 plus 0.304397?\nAnswer: 19.304397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 62.94292 kilograms?\nAnswer: 62942.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -11\/40 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 10921516 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**1\/k)**19)**(-2\/7) assuming k is positive.\nAnswer: k**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 0*w - 91 = -4*q, 5*q - 95 = -w. Suppose -3*n - w = -8*n. Let p = n - 8. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 0*n = -n + 4, s - 8 = 3*n. Solve 0 = -s*g - 9 - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes after 2:52 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2*k + 2*k - 13 = 0, 5*r = -4*k + 129. Let x = -1407 + 1407. Is x at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28063.\nAnswer: 7, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34710*l - 161594*l + 196308*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(228)\/sqrt(108) + -1)**2.\nAnswer: -2*sqrt(19)\/3 + 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(((sqrt(19) + -2)*2)**2 - sqrt(19) - sqrt(19)).\nAnswer: -92 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 PM and 3:08 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/45 and -169\/361410?\nAnswer: 1084230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4952804456 to the power of 1\/2, to the nearest integer?\nAnswer: 70376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 23*t**2 - 9*t**2 - 16*t**2. Let x(g) be the second derivative of g**5\/10 - g**2\/2 + 2*g. Let h(k) be the first derivative of x(k). Determine h(l(q)).\nAnswer: 24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence epp when three letters picked without replacement from ccppe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 21545\/16 - 1349. What is the common denominator of c and -99\/182?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1183*t = -1149*t - 68 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/9*p + 2\/9*p**2 + 0.\nAnswer: 2*p*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 90*-5*54\/540?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.024 - -0.02984. Let r = s - 0.002. What is r rounded to 4 decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/55 or -280?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19442050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*o**2 - 34*o**2 - 43*o**2 - 82*o**2 - 70*o**2.\nAnswer: -268*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 7484\nAnswer: -2245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - s = 4. Let w = 48.6 - 49. Sort w, s, -5.\nAnswer: -5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.3 - 0.3. Let j be -1 + (-11)\/(-20) - (-85)\/425. What is the nearest to -3 in g, -1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (1 - (9 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 31 - 25. Suppose b - z*b = 0. Is -1\/14 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(5\/3)*c)**(2\/5)\/((c**(3\/10)\/c)\/(c\/(c**(-1)*c))))**(-10\/3))**(-25) assuming c is positive.\nAnswer: c**(2075\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y + 13 - 19 + 10. Let f(g) = g**2 + 4*g + 13. Suppose 5*v + 5*s = 20, 2*s - 1 = 3. Suppose -2 = k + 5*h, -v*k + 2*h - 17 = -h. Give k*l(u) + 2*f(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 0*h = -2*h + 14, 2*h - 9 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*d**3 + 4*d**3 - 4*d**3 - 3*d**2 + 3*d**2 + 2*d**3 + (0 + 0 + 2*d)*(-5*d + 5*d + d**2) - d**2 + d**3 + 5*d**3 + 4*d**2.\nAnswer: 14*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -3797310 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1563 - 429. Suppose 2*m + u = -m + x, -u - 1519 = -4*m. What are the prime factors of m?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 499478394 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 314410331 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*s**3 - 6*s - 8*s - 19*s.\nAnswer: 2*s**3 - 33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 divided by 5.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 298859 smaller than -22\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/2)\/(12\/(-18)*(-6)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l - 4. Let r be w(3). Find the first derivative of 0*p**2 - 4*p**2 + p**2 + p**r - 1 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 5*i + 29. Let l be b(-5). Let g(d) = 8 - 4 + l + 25*d**2 - 2*d - 4*d. Let r be g(18). Round r to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 13) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be -6 + 64\/12 + 28\/6. Suppose 107 = q*l - 53. What is the remainder when l is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4337 and 0.3?\nAnswer: 1301.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -5*-5*(-1 + (-1*sqrt(180) + sqrt(180) - sqrt(180)) + 3 - (-3 + sqrt(180) + 2 + -5))**2.\nAnswer: -4800*sqrt(5) + 19598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is h in -3*h**4\/4 - 159*h**3\/2 - 2103*h**2\/4 - 582*h + 1188 = 0?\nAnswer: -99, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/((-8)\/(-18)) - 2\/4. Sort -1, h, -11 in increasing order.\nAnswer: -11, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of -2*t**6\/15 - t**5 - 7*t**4\/3 - 2*t**3 - 21*t. Factor p(h).\nAnswer: -4*h*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -182 + -182.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 + 4*d. What is the tens digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v + 4*t + 15, 4*v + 2*t + 3 = -v. Let i = -7 - -13. Suppose i*a - 5 = a. Is a equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 14) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 160 or 4941\/31?\nAnswer: 4941\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 5) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 10 = 13. Let q be 0 + c + 19 + -18. Let y(z) = z**2 + z + 1. Give y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 8 + -531409?\nAnswer: -531401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60960 and 9328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-k - k + k)*(-2 - 1 + 4) - 1009 + 3152 - 74992*k - 1072 - 1071 + 0*k - 3*k + 0*k in the form g + m*k and give m.\nAnswer: -74996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5098\/15 - 340. Let q = 6 + -1. What is the third smallest value in b, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**3 - 8628*b**2 - 22*b - 51 + 14 + 8606*b**2. Let o be x(-21). Suppose 34 = -3*s - j, -2*s - 2*j - 16 = -0*j. Which is smaller: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 752 + 5*h - 5*h + 0*h + h.\nAnswer: h + 752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence crld when four letters picked without replacement from {d: 4, r: 1, c: 1, l: 5, o: 1}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5254*x + 163*x**2 + 5254*x)*(5*x - x - 5*x).\nAnswer: -163*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 930*g + 5585. Calculate n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 68*a**2*p**3 + 10*a**2*p*r + 2*a**2*r + 593*a*p**3 + a*p + a - 2*r wrt a?\nAnswer: 136*p**3 + 20*p*r + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/15*145\/(-58)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14240857\/5 - -24095437849\/8460. Let m be (-25620)\/(-12690) + (1 - 3). Let c = m - k. Calculate the common denominator of c and -37\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -2*l**2. Let v(n) = 51 + 27*n**2 - 51. Determine v(w(h)).\nAnswer: 108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be 31 - (4 + -3 - -3). Suppose -24 = -w*f + 25*f. Put f, 3, -5 in decreasing order.\nAnswer: f, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.009 - -0.811. Let k = -0.08 - q. What is the smallest value in -2\/3, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*u - 29*u = 85 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -48 - -49. Suppose 0 = -4*l - 5*t - 11, 0 + 1 = t. Which is the second smallest value? (a) 0.1 (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 997542.\nAnswer: 2, 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38955, -155841, -350643, -623355, -973971, -1402485, -1908891?\nAnswer: -2493183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 23805574847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 156621851699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z + 392 = 10*z. Let u be (-2)\/(-7) - 28\/z. Calculate the remainder when (145\/(-29))\/((-1)\/2 + u) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 558*l**2 - 738*l wrt l?\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g + 3*z + 18 = -8*g, 4*z = 3*g - 7. Which is the third biggest value? (a) g (b) -1\/29 (c) -0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:25 AM and 8:23 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48132 divided by 6876.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4651429.268 - 0.1?\nAnswer: 4651429.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-8460)\/(-96))\/(-15) - (1 - 7)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(15)\/(sqrt(192)*-2).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -655360 - 27?\nAnswer: -655407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 8 = -7*t + 2*t, 4*t = 4*j + 16. Let d(f) = 13*f**3 + f + 2. Let a be d(-1). Find the common denominator of (-51)\/j + a + 11 and 119\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - (-8 + 4 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3512 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19930 is divided by 328.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 63187365827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -46\/7 + 177\/28. Which is the nearest to s? (a) -1\/5 (b) -14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t**5 - 7120*t**4 + 557888*t**3 - 1602584*t**2 - 557892*t + 1609704 = 0.\nAnswer: -1, 1, 3, 79, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53242.\nAnswer: 2, 7, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/2*1\/2. Let i(u) = 29*u - 27. Let j be i(5). Let k = j + -114. Solve c = -0*f + k*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1163646, 4654603, 10472874, 18618459, 29091358, 41891571, 57019098?\n\"Answer: 1163657*b**2 - 14*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 196, 198, 202, 208, 216, 226?\n\"Answer: z**2 - z + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fifty-two fifths of a millimeter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dsnsssnsssnnss. What is prob of sequence sn?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.2 + 1.542. Let r = j + 0.01. Let s = -0.46 + r. What is s rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 82102 - 82102.2. Let q = 18 + 242. Is v less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 163270.\nAnswer: 2, 5, 29, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 3*r**2 - 15*r + 14. Let p be i(7). Let o = -1 + 1. Suppose v - p - 47 = o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8083123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 1 e when three letters picked without replacement from {j: 1, e: 8, d: 2, g: 5, i: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**3 + 17*v**2 - 36*v + 56. Let h be ((-114)\/4)\/((-396)\/264)*-1. Give t(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -71742, -287002, -645770, -1148046, -1793830, -2583122?\nAnswer: -3515922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*q + 40*q**3 + 29*q**3 + 32*q**3 - 57*q**3 - 4*q.\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 29 = 23. Let h = -13 - c. Let v(i) = -i**3 - 8*i**2 + 8*i - 2. What is the remainder when h is divided by v(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12102 - 1002120?\nAnswer: -1021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uqr when three letters picked without replacement from rqubrb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 208103783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 443782257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5264.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -6*j**2 - 56*j - 16. Let f be t(-9). What is the second derivative of -18*m + 2*m**f + 11*m**3 - 19*m**3 - 1256 + 55*m**3 + 1252 wrt m?\nAnswer: 282*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 450612 and 4?\nAnswer: 450612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 2\/9, 1\/54, 2.3, 125, 5 in ascending order.\nAnswer: -0.5, 1\/54, 2\/9, 2.3, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6724 + c?\nAnswer: -6716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(108) - sqrt(12))\/sqrt(4))**2 + sqrt(24)\/(sqrt(8)*-2)*-1.\nAnswer: sqrt(3)\/2 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 32391, -4.\nAnswer: -4, 6, 32391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11.2 - 233.8. Let h = -244.9 - n. What is the closest to h in -1\/8, 0.14, 0.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kfni when four letters picked without replacement from kknzfiyiz?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 2 = h. Let w be (-4 - (h - 0))\/1. Let n be (w + 4 + -37603)*(-15)\/6. Round n to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -5*d**3 + 246*d**2 + 77*d - 83. What is the hundreds digit of n(48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 5*v - 8 = 0, -n - 6*v + v - 17 = 0. Solve n*c = -0*l - 4*l - 15, -3*l - 8 = -c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 43 in -0.5, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of m**6\/24 - 3*m**3\/2 - 9*m**2. Differentiate c(h) with respect to h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 7 and -0.085106131569.\nAnswer: 6.914893868431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/3*75\/(-2). Suppose 3*s - 61 = -c, 2*s - 74 = -c - 33. Calculate the greatest common factor of h and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rsjrfod. What is prob of sequence dros?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v**5 - v**2 + v**4 - v**5 + 0*v**5)*(-10 - 11 - 29).\nAnswer: 50*v**5 - 50*v**4 + 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35) + 3*sqrt(35))\/sqrt(5) + -5 - 2*sqrt(175)*2.\nAnswer: -16*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -1772*o**3 - 13*o - 84*o**2 - 11*o + 1682*o**3 - 12*o**4 - 15*o**4.\nAnswer: -3*o*(o + 2)*(3*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 5 and -95734.144864.\nAnswer: -95729.144864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11563 - 11559. What is the second smallest value in c, 12, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 4 = 3*a. Suppose -l = 5*o - o + 9, a*o = -l - 3. Let y = 0.1154 + -0.1154. What is the second biggest value in l, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 16463.18ml to litres.\nAnswer: 16.46318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/2 and -54\/2317.\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -4*s**2. Let g(k) = k**2 + 1. Let i be g(2). Let f = -4 + 6. Let j(r) = 4*r**2 + 3*r**f - i*r**2. Give j(t(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 16.2242838us in days?\nAnswer: 0.0000000001877810625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03865 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:31 AM and 8:50 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-13 - -70)*(-4)\/(-3). Suppose k - 2*v + b = 5*k, -3*k + 60 = 3*v. Calculate the highest common factor of 198 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:15 AM and 4:27 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.549, -3, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 360115356*s**2 - 180057645*s**2 - 180057677*s**2.\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 62, 91, 120, 149, 178, 207?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/7, -74\/41, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -2*h + 3. Let q be k(0). Suppose 13 = v - 10. Solve d - 6 = -j, -2*j + 2*d = q*j - v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1705982.\nAnswer: 2, 43, 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 22213259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6.8 + 0.2. Let l = 7.09 - z. Which is the closest to l? (a) -0.2 (b) -2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -40 + 44. Suppose z + b = 0, -2*t = t + 2*z + 17. Sort t, -5, 0 in descending order.\nAnswer: 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12384*b - 6199*b - 6211*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is y in 28*y - 88*y + 25 - y**3 + 46*y**2 - 11*y**3 + y**4 = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -7*k**2 - 2*k - 3. Let u(y) = 15*y**2 + 4*y + 7. Calculate -9*i(v) - 4*u(v).\nAnswer: 3*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 26421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1140 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 8 = 3*o - 12, 4*q = -3*o + 8. Suppose 206 = 2*a + 2*c, c + 570 - 173 = 4*a. Calculate the remainder when a*(2 - 12\/o) is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1312231212 (base 5) to base 15\nAnswer: 440bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -66, -3, 0.9, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 620465082 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 736 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times 13898\nAnswer: -6949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**2 - 10*w - 8. What is q(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5 bigger than 41\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (3*2\/(-4))\/(150\/(-20) - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1446421567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cx when two letters picked without replacement from {g: 1, c: 2, w: 1, b: 2, x: 8, f: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -23, 4, 2, -5 in ascending order.\nAnswer: -23, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -346*q + 487*q - 419*q.\nAnswer: -278*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25955 is divided by 841?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (360\/(-40))\/(3*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 37 - 127 = 0. Let r be (-9)\/6*4\/k. Which is the nearest to -2\/7? (a) -3\/2 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-752)\/(-1880))\/(4\/14 + 62\/(-70)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5746770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 2067120 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -234, -4649, -12006, -22305?\nAnswer: -35546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15236154767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1069, -1055, -1025, -973, -893?\n\"Answer: p**3 + 2*p**2 + p - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {c: 8, d: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -25*r**3 + 8*r**2 + 5*r + 238. Let o(g) = 9*g**3 - 3*g**2 - 2*g - 79. Let y(f) = -8*o(f) - 3*v(f). What is the second derivative of y(n) wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2555*h**6 + 2515*h**6 - 4972*h**6 + 202*h**2 wrt h?\nAnswer: 11760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000127055578 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 3*d = 2*k, -4*k + d + 10 = 0. Suppose -s + 5 = -0*s, k*s - 177 = -2*y. Calculate the remainder when y is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*j + 18*j - 25896*j**2 - 65139*j**2.\nAnswer: -91035*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 0))*1*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 293306, 293253, 293222, 293225, 293274, 293381, 293558?\n\"Answer: 2*z**3 - z**2 - 64*z + 293369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -183962 less than -183967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -5*r - 341, 5*r = -0*z + 2*z - 353. Let t be r\/(-90) - (-1)\/(-6). Which is the smallest value? (a) -4 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 3*u = -3, -i = -0*i + 4*u + 14. Suppose -2*b + i = -8. Solve b = 5*c - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83231*c + 14847*c - 23842*c.\nAnswer: -92226*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -732413\/419 - -1748. Let k = -779\/24721 + u. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.11 (b) 0.03 (c) -5 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - 2*n = 0, -n = -4*z - 16 - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(567)*4)\/(sqrt(27)\/sqrt(3)*4))**2*1.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5496 - 5495.990436. What is m rounded to 4 decimal places?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1277*g - 220 = -1321*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(10) - sqrt(90))*-3)\/(sqrt(20)\/(sqrt(30)\/sqrt(3))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the third derivative of 53*j**6\/40 + j**5\/60 - 11*j**3\/2 - 21*j**2 - 4. Find the first derivative of g(p) wrt p.\nAnswer: 477*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 62.7 (b) 1\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6491, 6516, 6529, 6518, 6471, 6376, 6221?\nAnswer: 5994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.07 - -0.27. Suppose -3*j - 11 = 2*j - 4*o, 2*j + 18 = 5*o. Sort t, -5, j in increasing order.\nAnswer: -5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, i: 3}. Give prob of picking 2 i and 1 x.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjsjjjjjjjjj.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -268.53 rounded to 0 decimal places?\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (90\/(-105))\/((-2)\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1553970 divided by -255.\nAnswer: 6094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 393774 + -393773. Suppose -5*h + 112 = 4*u, -3*h + 3*u + 35 + 43 = 0. Solve -5*o - p = h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 1 = -0*u - 2*u, -5*u = 2*m + 11. Let q(d) be the second derivative of -d**3\/6 + d. What is the units digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 3*j - 4*j + 26, 5*j + 4*t = 88. Suppose j = -2*q + 4*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13471 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 105952 and 0.03.\nAnswer: 3178.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 14 - 10. Suppose t - l*p - 1 = 1, p = 0. Factor k**2 - 4*k**2 + 7 - 10 + t*k - 8*k.\nAnswer: -3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -44\/9? (a) 0.1 (b) -27 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/3)\/s**(-2\/3))**(-1\/4) assuming s is positive.\nAnswer: s**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 901 a factor of 114442317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2*n**2 - 105*n + 58. Let w be t(52). Solve 4*a + w + 2 = 0, 5*a = 3*h - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the third derivative of -2\/105*d**7 + 1\/30*d**5 + 5\/24*d**4 + 1\/3*d**3 + 0*d + 0 - 1\/336*d**8 - 1\/30*d**6 + d**2. Factor p(h).\nAnswer: -(h - 1)*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**5\/((q*q**(-7))\/q))\/((q*q\/(q*q\/(q\/q**(-2\/3))))\/(q**7\/q)))**46 assuming q is positive.\nAnswer: q**(2254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 10374102 divided by 13\nAnswer: 10374102\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**2 - 6*a**2 - 8*a**2 + 467 - 467 - 186*a + 2*a**3 as p*a**2 + o + x*a + j*a**3 and give x.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, g: 1, h: 1, i: 1, k: 1}. Give prob of sequence ikh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -3*u + 21, 5*c - 18 - 5 = -4*u. Let n be c + (1 - (3 - -1 - 0)). What is the derivative of 6*o - 13*o + n*o - 14 wrt o?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - 3649*d = -3650*d + 17, 0 = 4*d - 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11728 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 20042984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 3*x**3 - 25*x**2 + 13*x + 12. Let f be h(8). Calculate the highest common divisor of 104 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 47 - 28. Let b be (u - 15) + (0 - 0). What is the highest common factor of 36 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 151*o = 158*o - 0 - 34, 2*o = -5*x - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 7*c - 6*c**2 - 4*c + 5 - 2 + 5*c**2. Let m be o(3). Suppose 0 = 2*l - 2*q - 62, 3*l = m*q - 2*q + 103. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1091 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*l - l, -4*y + 4*l + 28 = 0. Let s be (-30)\/(-12)*y\/5. Solve 3*j - 5*o - 13 = 4*j, -3*j - s*o = 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*h - 5*h. Let w = h + 1. Let j(u) = 4 - 4 - 2*u. Calculate j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the second derivative of 41\/12*k**4 + 0*k**2 + 0 + 0*k**3 + 3\/4*k**5 - 6*k. What is the third derivative of g(b) wrt b?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 41*h**2 - 11*h**2 - 14*h**2 to the form d*h + j + x*h**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be 18\/(4\/(-6)*27\/(-12)). Suppose 0 = k - 2*s + 3, -2*k - 5*s = -33 + a. Solve -6 = -k*o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -232.4, 2\/33 in decreasing order.\nAnswer: 0.4, 2\/33, -232.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**3 - 134*r**2 - 794*r - 3310. What is g(-128)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 28789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -361\/7 + 363\/7. Let w = 41 - 34. Which is the nearest to g? (a) -3 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-12)\/(-12)*1*75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (10\/36)\/(12\/15). Let b = h - 1\/8. Let n = 8 + -8.04. What is the second biggest value in b, 0.3, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 8*y**2 - 14*y - 2. Let s be g(2). Solve -s*v + 4 = -6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 29 or 2639\/92?\nAnswer: 2639\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 4216 = 5*b, -5*b = -3*z + 2*z - 4196. What is b rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1226 (base 11) to base 12.\nAnswer: b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q - 12. Let s be t(-12). Suppose 48 = 2*m - 22. Suppose 3*u + s*u = -5*j + m, -2*u = -2*j - 2. What is the lowest common multiple of 8 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -7 + (4 - 2 - 3). Let w = u + 6. Let f be (2 + w + 1)*24. What is the greatest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l - 6 + 5 - 1)*(2 - 1 - 2).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1.7, 0.9376, -0.5, -1, -0.1, 6\/67?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 47475 and 51165.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 455896\/147 - (-20)\/12.\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (-q + 4*q - q)*(-q + q - 2*q + (0 - 2 - 2)*(-q + 2*q - 3*q) + 3*q + 5*q - 2*q).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 58?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 2204.355 + 70631.\nAnswer: 72835.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1035810277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 176 - 176. Suppose 4*z + 6 + 2 = 0. Let x be (z - -3)*(1 - -3). Sort q, x, -1.\nAnswer: -1, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -102 - 27*l + 53 + 49 in the form w + q*l and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 341202.4 litres to millilitres.\nAnswer: 341202400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 145 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2994 and 1453706760.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10515 is divided by 582?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.1 - -0.1. Let v = -222 - -218. Which is the nearest to t? (a) v (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -p + 62*p**2 - 9550350*p**3 + 26*p**2 + 1 + 9550344*p**3 to x*p**3 + j*p**2 + a + s*p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 3585.3701?\nAnswer: 10756.1103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22\/(-4)*(-576)\/528 + 159*3 is divided by 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1483 = -7*i + 316. Suppose i = 4*u - a, 0 = -a + 4*a + 15. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -724427\/96 - -7546. What is the common denominator of -51\/352 and b?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -t - 15*t - 15*t + 8*t as l*t + j and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v**3\/3 + 388*v**2\/3 + 18424*v\/3 - 38416\/3 = 0. Calculate v.\nAnswer: -98, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8946104, 8946102, 8946100?\nAnswer: 8946098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 7550*f + 5*z = 7545*f + 40, f + 3*z = 31 - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 6682326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-13)\/(-117)*-3)\/((-2)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 30*q - 2878. Let m be k(96). Solve 5*l + 11 = x + 1, -6 = -m*x - 4*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 8 = -3*s. Suppose 0 = s*v - 15, -l - v = -23 + 3. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -232 (b) 0 (c) -2\/3 (d) 3 (e) -91.1 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, r: 1, v: 1, h: 1, x: 1}. Give prob of sequence cv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -727 = -6*l - 793 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 473351251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -29 + 0 + (39 - -18 - 34) + -28\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 147 and 37779?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 - 11. Let x = t - -4. Let k be (18 + 8)*x\/2. What is the highest common divisor of k and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 - 18*r**2 - 32*r - 934. Give c(-19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**2 + 0*o**2 + 2*o**2)*(18*o + 2*o + 0*o) + 3*o**3 - 4*o**3 + 9*o**3.\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -120.59 from -1.81.\nAnswer: 118.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 215*x - 198*x = 153 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**2 - 5*a + 1. Suppose -3*i + i - 10 = 0. Let b be y(i). Let q be (-6*(-9)\/(-468))\/(-3). Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/15)\/(4\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -2*w**2. Let p(f) = -127739907*f**2. What is p(u(c))?\nAnswer: -510959628*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:14 PM and 10:32 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -200*w**2 - 1975*w**2 - 9131*w**2 - 160*w**2.\nAnswer: -11466*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 3*l + 1. Let a be r(-7). Let h = 22 + a. Suppose 4*q = -h*w + 33 + 103, 5*q = -w + 173. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9324 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -32, -42, -52, -62, -72, -82?\n\"Answer: -10*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -56, -115, -172, -227?\n\"Answer: f**2 - 62*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2040*h - 192. Let y(m) = -4*m - 6 + 0 + 25*m + 1 + 32*m. Determine 192*y(r) - 5*z(r).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let i be (1 + -1)\/(1 - 3). Suppose 0 = -3*p - 0*s - 4*s + 25, i = 4*p - s - 8. Solve p*v = 4*x - 31, 2*v + x - 6*x = -30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + r + 12. Let k = 6 - 11. Let g = -4 - k. Solve -g - r = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -905530 - -3?\nAnswer: -905527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 204623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1716 and 924.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 26 = -5*y - 6, 4*y - 45 = -5*m. Let q(p) = -p**2 + 8*p - 4. What is the smallest common multiple of m and q(3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -31*m**2*z**3 + 9*m**2 + 11 wrt z?\nAnswer: -93*m**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 64804825 to the power of 1\/2, to the nearest integer?\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 - d + 2. Suppose -4*w + 12 = 4*h, h - 5*h - 12 = -2*w. Suppose -5*n - 12 = w*u, 2*n - 3*n - 15 = 5*u. What is f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 4093.97 millilitres?\nAnswer: 4.09397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*v**2 - 6150810*v + 1891623182805.\nAnswer: 5*(v - 615081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l*l*(l\/(l*l*l\/(l\/l**(1\/4))*l)*l)\/l*l))\/l)\/(l*l**5*l))\/(l**(-5\/4))**36 assuming l is positive.\nAnswer: l**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 345 (base 16) to base 14\nAnswer: 43b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) 4 (c) -0.1 (d) -3 (e) -3\/13 (f) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4*y + 4*i = 38, -3*i + 12 = y. Let a = y + -4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -23 + 12765694.\nAnswer: 12765671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 117 and 39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1846 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -136 + 114. What is the closest to 0.2 in 2\/3, 5, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 226986, 227143, 227300, 227457, 227614?\nAnswer: 227771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 46, 23, -1096 in decreasing order.\nAnswer: 46, 23, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/10 and 95\/4658.\nAnswer: 23290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -9*b**3 + 2*b**2 + 12*b - 14. Determine z(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 5*u - 4*l + 5, -2*u = -4*l + 2. Let a be 6 - (12\/u - 4). Solve -a = -5*c - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qc when two letters picked without replacement from {c: 1, j: 2, v: 1, q: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3571?\nAnswer: 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(21)\/sqrt(3)*5 + sqrt(42)\/(sqrt(6)*3).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-14)*637\/(-1183)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -145780238 - 2809762. Round o to the nearest one million.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/131780 and 31\/16500.\nAnswer: 9883500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - -8. Let o = h - -1. Suppose -3*c = 4*l - 353, -o*l = 2*l - 3*c - 448. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 0.4 (c) -41\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3\/(-3))\/((-4)\/12) + -6. Sort -6, d, -2 in decreasing order.\nAnswer: -2, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (129 + 63*v - 129)*(2 + 2 - 5)*(-1 + 2 + 1).\nAnswer: -126*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1802155 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20 - 4*v**2 + 9*v**2 - 38.\nAnswer: 5*v**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 695 = -b - 176*a, -2*b - 32541*a + 32536*a = 2 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 1, i: 1, g: 7, m: 7, a: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 171 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 31 + -32.7. Let l = 2 + p. Suppose -2*r - 2 = -2*o, -4*o - 11 = 3*r - 29. Sort 0.2, r, l in descending order.\nAnswer: r, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(3\/7)*b)\/b*b*b**3)\/(b\/b**(2\/7))**(-35) assuming b is positive.\nAnswer: b**(206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b**2 + b - b)*(-7*b**2 + b + 3*b**2 - 5*b**2).\nAnswer: -18*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*n - 6*n - 19*n**2 + 3*n**2.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = 20 + 7 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1744398 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -10*z**2 - 152*z - 8. What is o(-15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 343 + -121. Let t = l - 224. What is the closest to -0.2 in t, -3, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 300604591 to the nearest one hundred thousand.\nAnswer: 300600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 5*l**2 + 4*l. Let n(p) = -39*p**2 - 33*p. Let h(u) = 4*n(u) + 33*r(u). Give h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 540124 and 208.\nAnswer: 2160496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 4*u - 86 + 138 = 0, -5*u - 25 = -5*k. Suppose 2*l = -2*l + 32. What is the highest common factor of l and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 38 + -17. Calculate the remainder when 40 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 0. Suppose 2*r + 5 - 3 = y. Let a be (-23)\/65 - (-5)\/25. Is r greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 17 = -5*c. Suppose 5*s - 20 = 0, -i + c*s + 2 = 11. Solve -10 = -i*l + 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -132.1 + 445.2. Let c = n - 313. Let w = 0.001 - -2.299. Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 58*r - 9 = -61*r, -15 = -5*d - 4*r. Solve -4*j = 10*q - 5*q, -j - d*q = 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 545598*k**2*z**3 + 3*k*z - 2*k + 129*z**3 - z + 8 wrt k.\nAnswer: 1091196*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 + 111011010001100?\nAnswer: 111011010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*m**5 + 0*m**5 - 5*m**5 + (m**3 + 2*m**3 + m**3)*(1 - 2*m**2 - 1).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3 + ((-54)\/(-8))\/((-6)\/(-16)). Let t(n) = -2*n**2 + n**2 - b + 5*n**2 - n**3 + 25. Determine t(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and 50024?\nAnswer: 150072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -5*s - 5480, -4*s = -0*b + 4*b + 4384. Let p = s - -2022. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 58 * -0.64.\nAnswer: -37.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 AM and 2:36 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8168635 + 8168635 - 7*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 580 a factor of 885509200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, 4, -32854, 1, -11 in decreasing order.\nAnswer: 4, 3, 1, 0, -11, -32854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.3 - 0.2. Let q = 4.1 + -1.1. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = -3*u - 75, 0 = 5*u - 2*q - 0*q + 111. Let o = 14 + u. Let n = o - -8. What is the second biggest value in -2\/9, n, -1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27945166 rounded to the nearest 10000?\nAnswer: -27950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-9)\/((-81)\/(-99))*-1. Let k(d) = -d - 2. Let l be k(-1). Let f be (-1 - l - -1)\/1. Calculate the highest common divisor of o and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 43.55196g to kilograms.\nAnswer: 0.04355196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -181482530 = -11*r - 23852563. Let k be r + 3\/2*2. Round k to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -107.104396 rounded to 1 dp?\nAnswer: -107.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/7 + 3582\/126. Let m be 3*2*7\/c. Factor -1\/2*h**3 - 1\/2 - m*h**2 - 3\/2*h.\nAnswer: -(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 5*j - 4. Let t(s) = -4*s**2. Let n be t(1). Let y be w(n). Let z(r) = y*r + 2*r + r. Let x(q) = q. Determine z(x(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -29667276 divided by 4?\nAnswer: -7416819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2803 - -2797. Put 1\/6, 2\/7, x, 0 in decreasing order.\nAnswer: 2\/7, 1\/6, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 706295482?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2, -9, -42, -103, -198, -333, -514?\n\"Answer: -n**3 - 5*n**2 + 11*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 125486*z**3 - 1185*z**3 - 19064*z**3.\nAnswer: 105237*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14273 - 14276 + 28542 - 217*c**2)*(2*c - 2*c + 2*c).\nAnswer: -434*c**3 - 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20\/17 + -106\/119. Which is the third smallest value? (a) w (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 0, -38, -108, -216, -368?\n\"Answer: -u**3 - 10*u**2 - u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**3 - 7*r**2 - 7*r - 3. Let o be t(-6). Suppose -o*w = -203 - 145. Suppose b + 38 = 2*j - 2*b, 3*b - w = -5*j. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1010325 by 709.\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 360 - 356. Let s(h) = -6*h + 25*h + 4 - x*h + 0*h**2 + h**3 - 13*h + 4*h**2. Give s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -325.4 or -20223?\nAnswer: -325.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 AM and 2:01 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1 + sqrt(2))*6*4 - (sqrt(160)\/sqrt(5)*2 + 3)**2.\nAnswer: -192*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2730)\/(-6)*10\/(-25). Let h = c + 187. Sort h, 2, -5, -13 in increasing order.\nAnswer: -13, -5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 179 + 41 - 10*m - 29 + 3*m. Let c be h(27). Solve -5*z - 2*r - c*r = 7, 0 = z - 3*r + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a**2\/6 + 33239*a\/6 = 0 for a.\nAnswer: -33239, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-90)\/990 + (-1248)\/(-660)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1422686 - -1423605.359. Let j = 920 - q. Round j to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 + 3*s - 8. Let r be m(-5). What is the greatest common factor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/1 - 230\/72. Let b = -529\/90 - 9\/10. Let v = b - i. What is the common denominator of v and -39\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**2)**41)**(-1\/16)\/((g*g**(1\/2))**(-1\/2))**(-29) assuming g is positive.\nAnswer: g**(-215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 - -5. Let i = 10.99999952 + n. What is i rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 119 = 21*c, 0 = -6649*c + 6645*c + 4*n - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -b (base 13) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*p**5 + 9*p**4 - 32*p - 1.\nAnswer: 60*p**3 + 108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-64)\/(-12)*174\/8. Suppose 5*m - 103 - 49 = -3*j, 4*m - a = -j. What is the highest common factor of m and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 17528, 35052, 52560, 70052, 87528?\n\"Answer: -8*f**2 + 17548*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 783899?\nAnswer: 29, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c. Let o(p) = -51578*p**2 - 326. Calculate g(o(f)).\nAnswer: -51578*f**2 - 326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(220)*1 + sqrt(220)))\/(sqrt(5) - sqrt(125)*-1))\/((sqrt(336)\/(sqrt(7) + sqrt(112)))\/((sqrt(12)*1 + sqrt(12))*-2 + sqrt(12))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -345659 + 669659. Round a to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-2))\/(-4*(-210)\/(-224)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -3*f**5\/5 + 4614*f**4\/5 + 89334*f**3\/5 - 912492*f**2\/5 + 2565837*f\/5 - 2270106\/5 = 0. Calculate f.\nAnswer: -27, 2, 3, 1557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 8927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z - 6*r - 1754, -r - 994 = -2*z + 735. What is the remainder when z is divided by 218?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of -v**4\/4 + 7*v**3\/3 - 5*v**2\/2 - 6*v + 3. Let r be g(6). Solve r*k + 2 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 27*z + 4. Let p be d(3). Suppose 0 = -657*s + 151*s. Is s > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 - 8*i**2 - 5*i - 19. Give f(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-46*g + 81*g - 1821*g - 341*g)*(1 - 1 - g).\nAnswer: 2127*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2721 or 9561?\nAnswer: 9561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:02 PM and 6:30 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20856259?\nAnswer: 20856259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 10, -4, -0.17, -21, -0.1 in ascending order.\nAnswer: -21, -4, -0.17, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*r + 11*r - 884 = 0. Let w = -483 - r. Does 53 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5510*q**2*u**2*z**2 - 12*q**2*z**2 - 10*q**2 - 10 wrt u.\nAnswer: -11020*q**2*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 2.915615 to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 34 and 143973?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes before 9:34 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2762255 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 8731717265 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33 and 1353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3\/(-4))\/((-4)\/96). Suppose -6 = -3*v + h. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -5*z. Suppose -14 = -5*i + 11. Let p = i + -4. Let y(a) = 4 - 5 + p - 2*a**2. Determine y(u(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -120*g + 24*g + 3*g**2 + 27*g + 2 - 47*g - 115*g + 2*g**3 to l*g + o*g**3 + f + p*g**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(6\/7)\/f*f)\/(f**(3\/4)*f))\/(f**(-4)*f)**(3\/8) assuming f is positive.\nAnswer: f**(13\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 3*o**2 - 4*o - 2. Let a(l) = 2*l**2 - 6*l - 3. Let q be -6 - (-1 + -3 + 0 - -1). Let d(r) = q*y(r) + 2*a(r). Let m(c) = 3*c. What is d(m(k))?\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 105 a factor of 182805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 6206, -1, 0 in increasing order.\nAnswer: -7, -1, 0, 6206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 + 68 = -18*c. Let t be -1 - (84\/(-3) - -3). Let v = 27 - t. Put c, -4, v in decreasing order.\nAnswer: v, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 138*y + 137*y + 14 = 0, 5*b + 3*y = 35 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 157 + -154. Let h = -9 - -15. Suppose -y*b + 4*a - 4 = 0, h*a = -5*b + 3*a + 3. Solve q + q = b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 1028*q + 7. Let b(g) = -1029*g - 9. Give -2*b(d) - 3*l(d).\nAnswer: -1026*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.33 - 29.67. Let r = a + 26. What is the third biggest value in -1, r, 5, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*u + u. Suppose 0 = -4*n - 12, u*h + n = -0*n + 5. Let j = h - 1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1042 - 27.77211.\nAnswer: -27.87631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0, -1\/22140, -1\/2, 23, -2\/3, 0.5, -4?\nAnswer: -1\/22140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4333829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -16 - 29*k - 14 + 29 + 56 in the form m + h*k and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14659 is divided by 278.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**3\/4 + 633*t**2\/2 - 1275*t\/4 - 1269\/2.\nAnswer: 3*(t - 2)*(t + 1)*(t + 423)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 31013 + 303?\nAnswer: 31322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4161 + 4168. Suppose -3*m = m. Suppose 2*k - 19 - 9 = m. Calculate the greatest common divisor of k and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:32 PM and 9:22 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 - 11 = -p. Suppose -t + 13 = 3*q, -4*t + 4*q + p = -25. What is the smallest common multiple of t and 6\/(-24) + (-50)\/(-8) + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 147862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -991 + 997. Which is the fourth smallest value? (a) 0.05 (b) 0 (c) 0.3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -276078 by -3.\nAnswer: 92026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*m + 44 - 40 + 2*m)*(m**3 - 3*m**2 + 3*m**2) - m**4 - 2*m**4 + 4*m**4 + (3*m**4 - 6*m**4 - 2*m**4)*(0 - 1 + 5).\nAnswer: -21*m**4 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -2*r**2 - 29739*r - 2. Let m(b) = -5*b. Calculate y(m(w)).\nAnswer: -50*w**2 + 148695*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 297*j - 133*j - 77*j + 80 - 2*j**2 - 61*j.\nAnswer: -2*j**2 + 26*j + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -86 - -f217e?\nAnswer: f20f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-460)\/(-138) + (-2)\/(-1) + -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8 + -1 + (-13 - -12). Let a be (y\/4)\/(5\/10). Suppose -a*z = -z + 12. Sort 0, -5, z in decreasing order.\nAnswer: 0, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -8*z. Let r = 40 - 29. Let h(b) = r*b - 2*b - 4*b - 3*b. Determine h(j(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from aegea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - 1135?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*b + 40 = -22*b. Suppose 5*c - 18 = -2*w - 0*w, -b = -4*c + 4*w. Suppose -5 - 11 = -c*f. Put f, 1, -1, 2 in decreasing order.\nAnswer: f, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 + 7*s**2 + 29*s + 64. Let b be v(16). Let r = b - -1851. Let q(l) = -l**3 - 6*l**2 + 3*l - 9. What is the remainder when r is divided by q(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17710374?\nAnswer: 2, 3, 11, 53, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 5:31 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 6*b - 28. Let w be j(5). Let n(c) = w*c**3 - 6*c - c**3 + 15*c + 10*c**2 + 4. Calculate the remainder when n(-8) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 201*v + 37. Let a(c) = -c + 4. Give 5*a(j) - m(j).\nAnswer: -206*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -122, -1\/9 in descending order.\nAnswer: -1\/9, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -17899\nAnswer: 1\/17899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 93693 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -0.34.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/3 (b) 5 (c) -3 (d) -4 (e) -0.91526 (f) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*o - 5*o - 2 - 2*o**2)*((3*o - 2*o + o)*(-3 + 5 + 0) + 0 - o + 0 + 4*o + 5*o - 2*o - 4 + o + 2 - 3*o).\nAnswer: -16*o**3 + 4*o**2 - 16*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**6)**(2\/43) assuming t is positive.\nAnswer: t**(12\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 - 6 = -7*k. Let u(j) = 2*j - k + 5 + 4 - 5. Determine u(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-1\/5))**36)**(-44)\/(h\/h**(-5)*h**(1\/11)\/h)**(-22\/3) assuming h is positive.\nAnswer: h**(5312\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**2 + 15*n - 17. Suppose 7*r + 6*r - 143 = 0. What is the smallest common multiple of y(r) and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes after 1:45 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 0)*(2*t + 305 + 39 - 102) + (1 + 0 + 0)*(2 - 2 + 2*t) + 0 + 0 + t + 3*t + t - 2*t + 0*t + t + 0*t + 3*t - 4*t - t + 0*t - 2*t + 0*t.\nAnswer: 6*t + 484","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o + 3*o - 4*o + (0*o - 3*o + o)*(-11 - 4 + 5) - 3*o + o + 0*o - o - 3*o + 2*o)*(-2*o + 0 + 0).\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of -r**4\/3 + r**2 - 7*r + 13. Let j(w) = -6*w**2. Determine j(i(u)).\nAnswer: -96*u**4 + 96*u**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 3*a. Let h(l) = -74*l**2. Give m(h(f)).\nAnswer: -222*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8792 and 79756.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -733 + -32624?\nAnswer: -33557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1.1737 (b) -2\/5 (c) -2\/7 (d) -17 (e) 15 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -2\/9, -1\/3, -0.1, 3.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -58*p**2 - p - 37*p**2 + 111*p**2 to the form b*p**2 + x*p + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -367.4, 5, -1895?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 840 = -15*v + 50*v. What is the remainder when 1795 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 21 = 4*a - v, -5*v = -a - 21. Let u(b) = -3*b + 4. What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 8.332, -2\/21, 194?\nAnswer: 8.332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**3 - 13*a**2 - 14*a + 12. What are the prime factors of x(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -172*n - 1776 - 4447 = 1861 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8) + sqrt(32) + (1*sqrt(32) - sqrt(32)) + sqrt(32))*-2)\/((2*sqrt(1176) + sqrt(1176) + sqrt(24))\/sqrt(6)).\nAnswer: -5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -14 (b) 0 (c) 4 (d) 0.3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -2*g + 10. Put -2, g, -1 in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**0\/g)**27\/((g\/((g\/g**(-3))\/g))\/g**(2\/15))*((g**(-1\/2))**(-7\/6))**(-22) assuming g is positive.\nAnswer: g**(-377\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -349*u. Let z(g) = -9*g - 4. Let d(v) = 60*v + 27. Let q(y) = -4*d(y) - 27*z(y). What is a(q(x))?\nAnswer: -1047*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 5*l**3 - 3*l - 2. Suppose -2*c = -40 + 46, -k - 2*c = 7. Give j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2201974, 2201971, 2201968, 2201965, 2201962?\nAnswer: 2201959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 143 - 501350896.\nAnswer: -501350753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 2825 divide 8087609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*g**2 + 4*g**2 + 14*g**2)*(2*g - 1 + 1).\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 121, 245, 601, 1309, 2489?\n\"Answer: 20*k**3 - 4*k**2 - 4*k + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {j: 3, d: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (27*r - 48*r - 52*r)*(33 + 84 + 31 - 1 + 1 + 1 + (-3 + 1 - 1)*(3 + 0 - 1))*(r + 3*r - 3*r) as q*r + a + g*r**2 and give g.\nAnswer: -10439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 63 (base 11) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 8 = -4*h, 2*h + 2 = z + 9. Let s be (-8)\/(-20) - (-3)\/5. Solve h*b = 6 - s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 126678 and 473?\nAnswer: 1393458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -4*i - 2. Let w(p) = -31*p - 5. Let j be w(1). Let f be j\/8 - (-5)\/(-10). What is a(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-5898)\/232 - (-13728)\/528 and 2\/(-3) + 14\/(-24)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -131069612 by -131069612.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + 368?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 5*h = 33013, -4*w + 2*h = -12896 - 119266. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nrnnk. What is prob of picking 1 r and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-15)\/(-5) + -6 - -6. Let y(u) = 0 + 2*u**2 - 14*u**2 + 2*u + u**3 + c + 0 + 13*u**2. Let a = 4 - 6. Calculate y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -272 + 298 + 438 = 232*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 117\/5, -1\/5, 5, -0.4, 174.\nAnswer: -0.4, -1\/5, 5, 117\/5, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 12180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/8*(-10)\/20?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1723\/11 - 1417\/9. Let k = 163349\/81 - 2016. Find the common denominator of k and m.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 3*j**2 - 4*j + 5. Let g be b(4). What is the second derivative of 14*w**3 - 17*w + 45*w**3 - 18*w**3 + g*w wrt w?\nAnswer: 246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j + 5 = -155. Let z = -199 - -308. Suppose 5*k - 1 = z. What is the smallest common multiple of j and k?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04741 to three decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify o\/(((o\/(o**(-10)\/o))\/o)\/o)*o**11 assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d*(d*d**(-2\/25))\/d)*d**(2\/13)*d)**(-42))**(1\/35) assuming d is positive.\nAnswer: d**(-2406\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 191866414?\nAnswer: 2, 23, 4171009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.1201 - 0.1199056. Round v to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a + 3*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 714302241?\nAnswer: 3, 238100747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12173.\nAnswer: 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(4\/5)*k\/k**(-5\/4)*k**(-2\/17)\/k**(-4) assuming k is positive.\nAnswer: k**(2357\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, 42, 175, 432, 855, 1486, 2367?\nAnswer: 3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iihiyytyhtjhithiph. Give prob of sequence yj.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Do 1\/13 and -38.34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -155\/156 and 46\/57?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - o + j + 5, -15 = o + 3*j. Suppose o = -p + i + 44, -4*i = -i. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 4*o**3 + 36*o**2 + 33*o + 8 = 0.\nAnswer: -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -11358585.91 to the nearest 10000.\nAnswer: -11360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21991\/4490 - -1\/449. Calculate the common denominator of f and -115\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 + 17. Let d(t) = 10*t + 24. Let j(x) = 9*x + 25. Let o(y) = -4*d(y) + 3*j(y). Calculate the remainder when o(-6) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -157\/3 + 52. Let f = -14 - -7. Let h = -4 - f. Sort h, -2\/9, t.\nAnswer: t, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, b: 1, p: 4, r: 2, f: 1, n: 2}. Give prob of picking 1 b and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23 + -15. Suppose -p - 1 + i = 0. Calculate the greatest common divisor of 63 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.66 - -2.78. Let s = -15.12 + n. Sort -0.5, -0.1, 2, s in descending order.\nAnswer: 2, -0.1, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -96*n**4 - 6*n**5 + 3 - 6*n**2 - 3*n + 6*n**3 + 3*n**5 + 99*n**4.\nAnswer: -3*(n - 1)**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -0.6, -11\/127, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 38*(7\/2 + -3). Let i = -7 + v. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = -4*l - 2*s + 5*s, 0 = 4*l + 3*s + 7. Suppose 0 = x + l - 4. Suppose 3*k + x*k = 20. Solve -2*q = k*h + 18, h + 2 = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 18619404 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x - 1. Let g be k(-1). Is (19 + -2)\/(g\/(-14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 6*x - 3*x. Calculate the common denominator of (-46*3\/(-2))\/(x + -11) and (-291)\/24 + (-1 - -3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 50 + -47. Suppose 10 = -q*g + 19. Find f such that 1\/2*f**g + 0 + 0*f + f**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -b46aa (base 14) to base 15.\nAnswer: -88cbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1*-1.325\nAnswer: -1.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -26 + 34. Suppose 0 = 2*k - 4, -2*j + 0 = -4*k - p. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70832 is divided by 7869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 759, 540, 317, 90?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 - -23. Suppose 0 = 3*m - 2*m - 2, -16 = -3*v - 2*m. Let q(h) = -6*h**2 + 13*h - 8*h**2 + 3*h**2. Let f(o) = 5*o**2 - 6*o. Calculate l*f(b) + v*q(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.2705 and -5.\nAnswer: -5.2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(1 + (-5*(-4 + sqrt(208)\/sqrt(4)))**2).\nAnswer: -3402 + 800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -55 - -94. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from ttvttxktlxklkttktvlk.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -839*y**4 - 290*y**4 - 1511*y**4 - 3*y**4 - 4 + 4 + (-2*y - 1 + 1)*(2*y**3 - y**3 - 3*y**3).\nAnswer: -2639*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-12 + (26 - 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 5*p**3 - 99*p**2 + 74*p - 4. Let x(o) = 14*o**3 - 275*o**2 + 222*o - 11. What is 11*d(f) - 4*x(f)?\nAnswer: -f**3 + 11*f**2 - 74*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -264, -1, 12, -2.2, 5 in ascending order.\nAnswer: -264, -2.2, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 50.35 and -986.\nAnswer: -49645.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-54)\/45)\/(21\/(-15) + 1). Suppose -h*k + 1467 = -81. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1138 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -151 >= -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 431 + -9825272947?\nAnswer: -9825272516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 889299917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be (40\/(-6))\/(12\/(-126)). What is the highest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 24 = 4*m - 78, -f = 3*m - 86. Let y = 3.13 - -1.78. Let k = -0.09 - y. Which is the smallest value? (a) k (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 17*a**3 - 2*a**2 + 2*a - 1. Let f(v) = -2*v - 3. Let u be f(-2). Determine g(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -37046 (base 9) in base 7?\nAnswer: -132246","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(704))**2 - sqrt(704)) + -4 + (-2 + sqrt(704))**2 + sqrt(704) + 1.\nAnswer: -32*sqrt(11) + 1409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -3*j + 3*j + j**3 + (1 + 20 - 1)*(0*j**3 + 3*j**3 - j**3) as v*j + r*j**3 + f + n*j**2 and give r.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -16445*w**4 + 16186?\nAnswer: -65780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0020802668 to 6 dps.\nAnswer: -0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -34.351004759399 and 3?\nAnswer: 37.351004759399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -132*o + 4. Let z(w) = 6*w**2 + 3*w - 1. Let g(t) = -101*t**2 - 51*t + 17. Let p(v) = 2*g(v) + 34*z(v). What is p(j(y))?\nAnswer: 34848*y**2 - 2112*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8171 is divided by 62.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 > 15608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + 0)*-1*(2 - -1). Solve -v*i + 0 = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 41 - 41. What is the biggest value in t, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109658179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((4\/6)\/(8\/4*-6))\/(-1).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 - 174*j + 1112. What is i(7)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**2 - c - 2. Let q be h(-2). Let j = q + 7. Let d be j\/6*4\/(-6). Sort 0.2, d, -4\/3 in decreasing order.\nAnswer: 0.2, d, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -5*z**3 + 4*z**2 - 6*z - 6. Let j(t) = -14*t**3 + 13*t**2 - 18*t - 19. Let c(s) = 11*i(s) - 4*j(s). Calculate c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tttxxtxpxpxiittgxp. Give prob of picking 2 i, 1 t, and 1 x.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 6119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(440)*1)\/sqrt(11))\/(sqrt(88)\/((3*sqrt(88) - sqrt(88))\/sqrt(8))) + 0.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 52 - 53. Let s(t) = -26*t**3 + 2*t**2 + 3*t + 2. Let i be s(d). Differentiate -17 + 100*k - 100*k - i*k**4 wrt k.\nAnswer: -108*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/30)\/((-2)\/(-16)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70*l + 42*l = 756. Sort -1, l, 0, 4 in descending order.\nAnswer: 4, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 257, -80, -2 in descending order.\nAnswer: 257, 2, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 228\/29, -2\/23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from ffffffffffkf.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18631 is divided by 13979.\nAnswer: 4652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 12 (b) -3\/5 (c) -82323 (d) -1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y + 4. Let b be m(-6). Let z be 0 + (3 - b\/2). Let s be (z\/8)\/((-1)\/(-2)). Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24 (base 11) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -41*c + 43*c - 126, 36 = c - 4*o. Solve 0 = -38*l + 26*l - c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 8*i - 4. Suppose -17 = -d - 2*h, 3*d - 2*h = h + 60. Does 41 divide n(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 2*q - 6*q + 19*q. Let g(z) = 17*z - 72*z + 27*z + 32*z. What is m(g(y))?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (45 + -2 - 0) + 26 + 10 + -33?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.29, 1\/2, 4 in decreasing order.\nAnswer: 4, 1\/2, -1.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 - -2. Let g = 14 - i. Calculate the remainder when (9\/6)\/(g\/32) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 70*m**4 + 100*m**3 + 2*m**2 - 31682*m + 1?\nAnswer: 840*m**2 + 600*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - -66) + -390 + 191.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 34 less than -1.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 301 - 13 = 6*r. What is the units digit of 1*(-2 - -3)*r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kj when two letters picked without replacement from kkkkjkkkkjjjkk?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u + 12*u - 5 = 0. Let w be (-3 + 1)*u\/(-2) + -1. Solve w*v = -3*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 654 a factor of 27046824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 11*q. Let c(s) = 4*s. What is 17*c(o) - 6*y(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 18*d**2 - 7*d + 7*d. Suppose -k - 18 = -3*k. Let r(f) = -f**2 + k*f + 3*f - 12*f. Calculate u(r(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 326 - 308.9. Let c = -13.1 + w. Sort -0.5, c, -9\/2.\nAnswer: -9\/2, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**2 - 22*u - 20. Let z be c(22). Let f = z + 25. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30784157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x - 13. Let v be a(17). Let r(q) = -2*q + 3. Calculate r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*(g*g**(-2)*g)\/g)**(3\/16)*(g\/(g\/(g\/(g**(-2\/3)*g))))**21)**(-33) assuming g is positive.\nAnswer: g**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*v + 2 = i + 33*v, -2*i + 4 = -4*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-5))\/(-3 + 84\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 448 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7119, -14242, -21365, -28488, -35611, -42734?\nAnswer: -49857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 37063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 + -2.76. Let k = m + -0.19. Let x = k - 3. Round x to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*l + 26 = -46*l. Which is greater: l or 3\/599?\nAnswer: 3\/599","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -3*u + 21. Solve 10 = -3*g + 2*j, -u*g - 3*j = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 19429 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:08 PM and 10:20 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s**2 + 12*s + 9*s**2 - 12*s + 6*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8544 or 8545?\nAnswer: 8544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -24*u**2 - 38*u + 8. Let c(r) = -8*r**2 - 13*r + 3. Let y(j) = 8*c(j) - 3*t(j). Find the second derivative of y(i) wrt i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10*(-16)\/616)\/((-20)\/(-70))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 4.4, -0.24755.\nAnswer: -0.24755, 2, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/39927924 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**2 + 634*v + 1920.\nAnswer: -2*(v - 320)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 432272 is divided by 61753.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1477246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1054052 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence scc when three letters picked without replacement from uysssqcfsusqcqucus?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 26, -3, 3, 794, 51 in decreasing order.\nAnswer: 794, 51, 26, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4 + 3620\/55 + 2\/11 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10*(-1)\/(-8))\/(21\/1512*3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 214 = 638. Let j = -154 - k. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2243403.\nAnswer: 3, 83089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2812183399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -3193, -1637.\nAnswer: -3193, -1637, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 21.1 + -21.6. What is the smallest value in 1.3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.035 times -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*-2*sqrt(448))\/sqrt(8))\/((sqrt(80)*-2)\/sqrt(10) - sqrt(16)\/(sqrt(8) - sqrt(2))).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -12851*f**3*x**2 - 85*x**2 - x - 8 wrt f.\nAnswer: -38553*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114064 is divided by 37061?\nAnswer: 2881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2141 is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8999233 is divided by 4923?\nAnswer: 4912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - 3 - -2 - -7 - (16 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t - 45 - 195. Let b be (132\/(-10))\/(18\/t). What are the prime factors of (18\/4)\/(11\/b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrrssswppccopcprprw. What is prob of picking 1 p, 1 c, and 1 s?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the second derivative of 0*q**4 - 12*q + 2\/5*q**6 + 0*q**5 + 0 - 11\/2*q**2 + 0*q**3. Differentiate g(h) wrt h.\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12528865.\nAnswer: 5, 2505773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*f - 295*f + 10218 = 0. Solve 0 = 3*l + 3*u - 3, -2*l + 3*u - 34 = -f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 26193*m**2 - 14*m + 4. Is l(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*w + 12 = 2*w. What are the prime factors of w + 1 + 7 + 5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 38 - (90 - 49) - ((2 - 4) + -48).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l = -16*l + 12. Calculate the lowest common multiple of 10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 5*n - 2*n - 15 = 0, -4*v = -2*n - 2. Let r = 4 + 0. Suppose -x + r = -0*x. What is the smallest common multiple of x and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 1 + 5 - 1 - 3 - 6 + 3 + 1 + (-2 + 1 + 2)*(2 + 2 - 5) - 3 + 5 + 0 + 65 + 10 - 12)*(0 - g**2 + 0).\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002259 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4421\/9 + 490. What is the common denominator of x and -161\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2927*y**2 + 3807 wrt y?\nAnswer: 5854*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-258)\/(-171))\/(-5*(-6)\/(-45)). Let r = -191\/76 - q. Let o(s) = 8*s**3 + s**2 + 2*s + 1. Let m be o(-1). What is the closest to r in m, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/10, -2\/11, -171, 2\/19, 1 in decreasing order.\nAnswer: 1, 2\/19, -1\/10, -2\/11, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8807725 is divided by 2055.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is t in -5*t**4 - 18*t**3 + 216*t**2 - 270*t - 243 = 0?\nAnswer: -9, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the third derivative of j**5\/480 + 301*j**4\/96 - 201*j**3\/16 - 3618*j**2. Factor o(r).\nAnswer: (r - 1)*(r + 603)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/22 and (((-87)\/(-144))\/(16\/(-12)))\/1.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (111\/(-148))\/(2\/(-8)). Let 1\/2*u**d + 0 + 1\/2*u + u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -6. Calculate the common denominator of (-129)\/t*3\/90 and 35\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1150832385.\nAnswer: 3, 5, 331, 77263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s + 3*d - 6 = 0, -4*d = 66*s - 63*s - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -106075 + 106075 + 686*h**3 + h**2 - 2*h**3 - h**2 + (-h**2 + 2*h**2 + 3*h**2)*(2*h - h + h) to the form s*h**3 + v*h**2 + m*h + d and give s.\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 + 2. Let p be (-10)\/35 + (-18)\/(-21). Let v = 1.132 + -0.632. What is the second smallest value in m, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 127, 27, -1 in ascending order.\nAnswer: -1, 5, 27, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from {n: 3, j: 1, a: 2, t: 6, l: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -357, 0.69, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -114, -770, -1850, -3342, -5234, -7514, -10170, -13190?\n\"Answer: 2*q**3 - 224*q**2 + 2*q + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 874*r - 13. Let h = -147 - -155. Is y(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -635752.64 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 521, 1107, 1709, 2321, 2937?\n\"Answer: -s**3 + 14*s**2 + 551*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 242\/37, 2\/13, 2658?\nAnswer: 2658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 193 is divided by 10\/6 - (1 + 184\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6*2\/(-66)*(2 + 20)\/(-2). Let 3\/7*o**m - 6\/7 + 3\/7*o = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*h - 576 = -101*h + 180. Solve 1\/2*i**h - 1\/2*i**2 - 1\/2*i + 0 + 1\/2*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 0*c**2 - 10*c - c**2 + 22*c + 8. Let r be q(8). What is the units digit of 11\/(-2 - (-84)\/r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*f**2*s**2 + 22138*f**2 + 1762*f*s**2 - 2*f*s - 4*f + 19*s**2 - 2 wrt s.\nAnswer: -8*f**2 + 3524*f + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -216 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21303, -171888, -580643, -1376652, -2688999, -4646768?\nAnswer: -7379043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes after 7:48 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-3 - -1) + 1900 + (6 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + j**2 + 2)*(-j**2 + 3 - 3) - 345 - 321 + 676 - j**2 + 4*j**4.\nAnswer: 3*j**4 - j**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 324 (base 7) in base 13?\nAnswer: c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**3 + 35*i**2 - 267*i - 7481. What is l(-37)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 + 5*q - 5. What is b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-40)\/(-18) - 2) + 20\/(-9). Let l(p) = 3*p. Suppose 3*a = 2*a + 5. Let n(s) = -s. Let y(o) = a*n(o) + 2*l(o). Determine y(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1951*w - 25*w**4 + 3900*w - 1950*w + (7*w - 11*w**4 - 7*w)*(-2 + 4 - 1) in the form h*w**2 + u*w**4 + f*w**3 + b + v*w and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 8*m - 4 - m**3 + 2*m**3 + 11*m**2 + 3. Suppose -y = 24 - 14. What is the remainder when 55 is divided by j(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 + 10*y**2 + 10*y + 10. Give h(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x + 42. Let b = -48 + 14. Let v be g(b). Solve 5*m = v*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 120 is divided by 108\/12 - (-40)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -233 and 0.08098755.\nAnswer: -232.91901245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p + 0*p + 0*p)*(3 - 6 + 1) + 106 + 50*p - 106 + 4*p - 2*p - p.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 + 2. Let a(i) = -3*i**3 - 2*i**2 - 11*i + 9. Let k(z) = 4*z**3 + z**2 + 12*z - 10. Let o(w) = m*a(w) + 4*k(w). What are the prime factors of o(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 6 - 1 + 7 - 2*c - 5*c**2 - c**3. Let t be (3 - 2)*(50\/(-5) - -5). What is the remainder when 63 is divided by x(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1380, 2773, 4194, 5649, 7144?\nAnswer: 8685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -9 - 27. Let x(c) = -c**2 - 11*c + 10. Let q be x(g). What is q rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 1 + 3)*(4*r + 40*r - 9*r)*(0 - 3 + 4)*(-26 + 5 + 5) as v + d*r and give d.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 100.9 - 13.1. Round y to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-21)\/(-60) + (18\/(-5) - -4). Let i(r) = r**3 + 7*r**2 - 8*r + 4. Let j be i(-8). Suppose -u - u + j = 0. Does t = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, t: 12}. Give prob of sequence ott.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23 - 26. What is the units digit of (-12)\/(-63)*c + 193\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + 0 + (30 - 24). Let j(g) = 9*g**3 + 7. Let b(f) = -6*f**3 - 5. Give p*b(d) + 5*j(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 14705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20855\/48629 - 2\/6947. Which is the closest to 1? (a) 0.01 (b) z (c) 0.434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + -1. Let c = z - 1. Let b(l) = -2*l - 4 - 4 + 0*l + 2*l**2 + 5. Give b(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvvu when four letters picked without replacement from vvuvvuavvvav.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1306, -5187, -11654, -20707?\n\"Answer: -1293*a**2 - 2*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - 10 = -5*r, -9*r + 4*r - 5*y + 40 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2356\/17 + 210731\/1530. Find the common denominator of j and 41\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 92517.148+-48\nAnswer: 92469.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 14588142 != 14588145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 37\/7, 1\/13218, 0 in ascending order.\nAnswer: 0, 1\/13218, 37\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 89 - 9. Let q be 3\/(-6) - (-7400)\/d. Let w = -193 + q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/5 <= -1161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -466\nAnswer: 5\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1 or 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -5, -217, -10, -2 in descending order.\nAnswer: -2, -4, -5, -10, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 280*i = -283*i - 14, -10 = 5*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3532155?\nAnswer: 3, 5, 11, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zmvvzvqvqzw. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 525911819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -16\/9, 11, -0.3 in decreasing order.\nAnswer: 11, -0.3, -16\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 84 - 83.9. Sort -3, o, 28 in increasing order.\nAnswer: -3, o, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmlmlmmmm?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3603464 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 - 337*u + 33210. Let i be j(0). What is the highest common divisor of i and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1371485573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 139440 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**3 + 2*l**2 - 16*l + 1. Let v(i) = -i**3 + 3*i**2 - 16*i. Let n(s) = 3*m(s) - 4*v(s). Is n(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.8, -1.3, 0.2, 0.7, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 48674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1569241 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 8 (c) -5 (d) 99696 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -136*g**2 - 6*g - 9. Let m(z) = 271*z**2 + 11*z + 16. What is 4*m(v) + 7*y(v)?\nAnswer: 132*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 23 + 89. Suppose -7*f - j = f. Let d be 36\/21 + (-4)\/f. Solve d*o = -3*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -392? (a) 0.1 (b) 3\/8 (c) 4 (d) 0.44 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -4476 (base 8) to base 14\nAnswer: -c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 896141 (base 11) to base 16.\nAnswer: 15cb69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + 3*h + 15, -x + 3*h - 2*h + 3 = 0. Let r(z) be the first derivative of -2*z**3\/3 - 6*z + 9. Let y(k) = 2*k**2 + 5. Determine x*y(v) + 5*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 15636 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1179.9 + -10423832\nAnswer: -10422652.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 114431796.\nAnswer: 2, 3, 29, 109609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-23)\/(-3)*(27 + -16 + -14)*-1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -346*t - 12 = -348*t + 5*a, 0 = -9*t - 3*a + 156 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 3*r + r - 3*r - r**3 - 2*r**2 - 4. Does 2 divide x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 365624401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from {a: 7, n: 2, o: 2, k: 7}?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.15 * 77.\nAnswer: 11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1\/2 - (-23598)\/92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 2*i**3 + 34*i**2 + 34*i. Let r(d) = 16*d**2 + 38*d + 22. Let a(y) = -3*y**2 - 7*y - 4. Let t(h) = 11*a(h) + 2*r(h). Give 6*q(m) + 204*t(m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6421.\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**2 - 7*v - 7. Let f(x) = -2*x - 2. Suppose -y + 1 = 3. Let i(p) = y*m(p) + 7*f(p). Let o(t) = -14*t**2. Determine o(i(q)).\nAnswer: -56*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 105779 or 105784?\nAnswer: 105779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - 1.03. Let n = -0.17 + l. Which is greater: -2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 436\/22 + (-6)\/(-33). Suppose 4*y + 4 + 20 = 0. Let t = 2 - y. Calculate the highest common factor of t and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*j**3 + 84325*j**2 - 337360*j + 337380.\nAnswer: 5*(j - 2)**2*(j + 16869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 98*p**2 + 79*p**3 - 48*p**2 - 5 + 0 + 2*p - 48*p**2 + 3 to the form z*p**3 + g*p + c + d*p**2 and give z.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.21, -3, 0.5, 54?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/397 (b) -23 (c) -1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/27999899 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 568771107.\nAnswer: 3, 67, 2829707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*g**4 - 2*g**4 - 2*g**4 + (7*g**2 + g**2 - 20*g**2)*(-3*g**2 - g**2 + g**2) to the form b + s*g + n*g**3 + x*g**4 + u*g**2 and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 1326 (base 8) to base 6.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/17095 or 0?\nAnswer: 2\/17095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -5*u**2 - 4. Let n(y) = -y**2 - 1. Let m(t) = -4*n(t) + v(t). Let s(k) = -2*k - 7. What is s(m(r))?\nAnswer: 2*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/r**18)\/r**(-22))\/((r**(2\/33)*r)\/(r**27\/r)))**(-21) assuming r is positive.\nAnswer: r**(-6916\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be 15\/2*(-8)\/3. Let w = -18 - s. Let x(r) = 3*r**2 + 3*r**2 - 2*r**2 - 2*r - 2*r**2. Calculate x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -197*h - 1131*h + 38512 = 0 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 8.4, -458, -143.7?\nAnswer: -143.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -5*f + 5. Let g(w) be the first derivative of 3*w**2 - 6*w - 117. What is 3*g(q) + 4*r(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of h**3\/6 + 32*h. Let q(f) be the third derivative of 1\/24*f**4 + 0*f**3 + 0*f - 4*f**2 + 0. Calculate q(i(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 61 - 61.37. Let q = z + 0.17. Which is the nearest to -2\/3? (a) -3 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 + 74 = -5*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/(-7))\/((-35)\/(-245))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -5*l - 501928, -43*p - 251003 = -44*p - 4*l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*t**2*x**2 - 2*t**2*x + 768684*t**2 - 160*t*x**2 - 29250*t + 4*x**2 wrt t?\nAnswer: 42*x**2 - 4*x + 1537368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 - -6. Let x = j - 16. Let f = -13.9993 - x. What is f rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-2) + (-1)\/(-2). Suppose -3*u = -2*u - p. Let i = 2 - u. What is the remainder when 1 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -1360*w + 324. Let o be s(7). Let f = o + 3239. Round f to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5650.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -272079*m**5 + 2*m**3 - 90191*m + 9.\nAnswer: -5441580*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4033.6 + -4576. Let q = b + 542.400002189. Round q to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.09871 (b) 0.2 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 - (-9 - (-15 - (-3 - -5)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1*9\/(-1)*2\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -48242892*f*n**2 + 49929483*f wrt n.\nAnswer: -96485784*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*j - 2*j - j + 115*j**2.\nAnswer: 115*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-55)\/(-2 + 30\/10). Sort 1, 5, i.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 29763510*v**4 + 83431552*v - 1.\nAnswer: 357162120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1134876235 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-342)\/(-240))\/57)\/((-24)\/(-32))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -6 + 3 - 2*s + 25. Let c be i(6). Let z be 39\/(((0 - -1) + 1)\/c). Calculate the greatest common divisor of z and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(3\/7))**(-50) assuming w is positive.\nAnswer: w**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of -8*l**3\/3 + 2. Let y(u) = 2*u. Calculate z(y(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001119 rounded to 6 dps?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + 6. Let m = -5 + h. Let v = -213.5 - -214.5. What is the nearest to -3 in m, v, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 34*n - 6658. What is d(195)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -409*w**2 - 3*w**3 + 3 + 407*w**2 + w - 1 - 6*w**4 in the form t + f*w**2 + o*w**4 + c*w + l*w**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(-1 + 2) + -4. Let r be -4 + 21 - n\/1. Suppose 0 = -5*d + 5 + r. Solve 0 = j - 0*j + d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3382044307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (n**2 + 3*n**2 - n**2)*(-9 + 8*n + 3 + 4).\nAnswer: 24*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32, 40, 62, 104, 172, 272, 410, 592?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (935\/165)\/(510\/990)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 4*g - 20. Let t be l(6). Suppose -58 = -t*n - 26. Let v = 251 - 179. What is the highest common factor of n and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*z - 2167 + 575 - 688 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 257*r**2 - 391*r - 202*r**2 + 393*r - r**3 - 129*r**4 wrt r.\nAnswer: -3096*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6718444*j**4 - 835346*j**2 + 1.\nAnswer: 161242656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the third derivative of -z**6\/120 - z**5\/60 + z**4\/12 - z**3\/2 - 3*z**2. Let b(t) = 3*t**3 + 3*t**2 - 5*t + 7. Calculate 2*b(q) + 5*l(q).\nAnswer: q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -9 + 3*t**3 - 4*t**2 + 12 + 3*t**2 + (-18 + 10*t**2 + 18)*(2*t - 5*t + 2*t).\nAnswer: -7*t**3 - t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -4*b + 2*b - 3 + b**2 + 1. Let u(c) = c - 2. Let p be u(6). What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v = -3*q + 359 - 362, 5*q + 3 = 4*q - 3*v + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y**3 + 7*y**2 - 38*y + y**3 - 48*y - 5 + 88*y. Determine w(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 h, and 1 y when three letters picked without replacement from {y: 1, c: 1, l: 5, h: 3, u: 1, k: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-17568)\/(-6) - 7)\/((-2)\/(-34)). Suppose c = -0*l + 17*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/9)\/(763\/218 + 860\/(-246)). Solve i*o = 16 - 98 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -32 - ((71 - 42) + -44)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 241310 (base 6) to base 14\nAnswer: 796a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(3\/42*1). Suppose -167 = -3*k + j, -5 + 1 = -j. Let s = t + k. Solve -2 = n + s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72459 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**2)\/d)**(-43))**(7\/8) assuming d is positive.\nAnswer: d**(-301\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(64)\/sqrt(4))\/sqrt(8).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 4)*(5448*n**3 + 6841*n**3 + 1792*n**3).\nAnswer: -28162*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 504, 880, 1256, 1632?\n\"Answer: 376*m + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.029 * 20047.\nAnswer: -581.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -0.3 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -31*o + 12. Which is the second smallest value? (a) o (b) 5\/2 (c) 20 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b**3 + 3 - 3 + 1 + (-2*b**2 + 3*b**2 - 2*b**2)*(b + b + 0*b))*(-278 + 41 + 7).\nAnswer: 1150*b**3 - 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -5025, -10053, -15081, -20109?\n\"Answer: -5028*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2199259 litres in millilitres?\nAnswer: 219.9259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 10 = -2*l. What is the tens digit of 9\/l*(-264)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96020.2769 rounded to the nearest 100?\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/6 and 145\/268037394.\nAnswer: 268037394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (696\/464)\/(1\/(-1)*(-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is d in 5*d**5\/3 + 110*d**4\/3 + 235*d**3 + 1660*d**2\/3 + 1300*d\/3 = 0?\nAnswer: -13, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -219 - -224. Let i be ((-8)\/t)\/4*(-51)\/34. Determine g so that -i*g**2 + 3\/5*g + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-10))\/(4544\/(-1420))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.606*-304.97.\nAnswer: 184.81182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange t**2 - 21 + 1383*t - 1383*t to j + w*t**2 + p*t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -16 at most -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28 + (24 + -11 - 27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -87\/200 and 93\/4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*f**3 - 9*f**3 + 28*f**4 - 2*f**5 - 2*f**3 - 5*f**3.\nAnswer: -2*f**3*(f - 13)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -3*u + b + 22, 4*b - 20 = 0. Let s be 38\/u + 11\/((-297)\/6). Let x(w) = -w**2 + 5*w - 4. Calculate x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*(j**(-3)*j)\/j)\/((j**(2\/5)\/j)\/j)*j*j*j**0*j*j**(3\/5)*j)**(-2\/7))**(2\/19) assuming j is positive.\nAnswer: j**(-12\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-231)\/(-266))\/(-33)*(-9975)\/210?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -777\nAnswer: -5\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-81)\/(-4) - 9\/(-12). Let m(d) = 0*d**3 - d**3 - 1 + 0*d**3 - 2*d. Let g be m(-1). Solve 2*p + 0*p - g = 3*f, 0 = 4*f + p + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {m: 2, h: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -76, -111, -160, -223, -300?\n\"Answer: -7*m**2 - 14*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -273148, -273147, -273146?\nAnswer: -273145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2, 5, 8?\n\"Answer: 3*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -224*n**3 + 80*n**2 + 8517*n. Let s(t) = 75*t**3 - 27*t**2 - 2840*t. Let w(c) = -3*b(c) - 8*s(c). What is the second derivative of w(h) wrt h?\nAnswer: 432*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -23, -48 in ascending order.\nAnswer: -48, -23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h + 1. What is c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/4, -53, -289, 57\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 49144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 35638193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(275) - (-3 + sqrt(275) + 2*sqrt(275)) - 3*-1*sqrt(275)) + 1 + 0 + sqrt(275) + -2 + -1 + 3)**2.\nAnswer: 80*sqrt(11) + 1115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - -1)\/(4\/(-14)). Let o(p) = -5*p**2 - 11*p - 2. Let s(a) = 9*a**2 + 21*a + 5. Let u(i) = w*o(i) - 4*s(i). List the prime factors of u(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q + 3*a + 1524 - 1503, a = -2*q - 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/300 and 59\/244?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 47583 and 38253.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -2113232201 (base 4) to base 2.\nAnswer: -10010111101110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -456*b**3 + 458*b**3 + 2 - 4 + b**2 - 146*b**4 - 3*b**2 as t*b + m*b**2 + p + x*b**4 + q*b**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -172438*b**3*f**2 + 2*b**3*f + 345338*b**3 - 1386*b*f**2 + b*f + 8*f wrt f?\nAnswer: -344876*b**3 - 2772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 - 9*a**2 - 2*a - 10. Give z(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 7 - 1)*(4*f - 3*f + 5*f)*(-6*f**4 + 3*f**4 + 4*f**4).\nAnswer: -54*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -518.4 + 517.4. What is the biggest value in 3, 3\/5, 2, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 103401337?\nAnswer: 13, 31, 256579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 26 - 86. Let v be (2 - y) + -2 - 0. Suppose 3*i + 0*i - v = 0. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12 + -7. Suppose -q*i - 3*f - 4 = 0, 4*i - 3*f - 12 = i. What is the second smallest value in 4, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -710 * 1\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3882 + 179?\nAnswer: -3703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -299 and 2?\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 5*i - 4. Let y be l(3). Let j(p) = 9*p**2 - 2*p - 6. Let s(c) = -5*c**2 + 196 + 4*c**2 - 4*c - c**2 - 207 + 19*c**2. Determine y*j(a) - 6*s(a).\nAnswer: -3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 772 a factor of 60625778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 7}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2895364 and 2710?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 60 + -30. Suppose 0*t - l = -5*t. What is the smallest common multiple of 2 and 44\/t - 3\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 241758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**3 + 8*a**2 - 5*a - 5. Let i = -16 - -9. Is h(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < 18\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -492 = 4*h - 4*i, 0 = 2*h - 4*h - 4*i - 270. Let p = h + 656. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.0750332 at least -499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u + u - 1 + 3*u)*(0 - 1 - 1)*(5*u - 4*u + 6*u).\nAnswer: -84*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 4)*(-499*q + 499*q + 319*q**2) + 2*q**2 + 0 + 0.\nAnswer: 1916*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -19*a**2 + 2*a - 3. Let c be z(-2). Let d = 181 + c. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -136 (b) 13 (c) 1\/2 (d) -0.4 (e) 17 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 53*i + 61*i + 19*i. Let n(w) = -4*w**2 - 12*w - 6. Let d(s) = 7*s**2 + 22*s + 11. Let b(o) = -6*d(o) - 11*n(o). What is z(b(c))?\nAnswer: 266*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 13752250201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 398 = 4*u - 138. Suppose -741*j - 1198*j = 126*j + 23*j - 68904. What is the remainder when u is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 2*j - 17 = 3*j, -13 = -a + 4*j. Is (-207 + 206)\/(2\/(-14502)*a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 times -29808?\nAnswer: -268272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/40*645\/(-86)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttztttttttttt. Give prob of sequence tzzt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 28.8 - 28.89. Let o be (-524)\/(-143) - (-2)\/13 - 4. Which is the nearest to o? (a) h (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 10360.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (62 - 96 - 52)*(-y**2 - 4*y**2 + 3*y**2) + y**2 + 0*y**2 + y**2 + 0 + 0 - y**2 + (5*y - 10*y + y)*(2*y - 3*y + 2*y) as p + o*y + f*y**2 and give f.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 65\/168 + -3\/56. What is the nearest to 0 in -3, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 90152423.\nAnswer: 193, 251, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 28 divided by 1655839?\nAnswer: 28\/1655839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 59 divided by 3?\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2624 + 2619. Let d(j) = -j + 1. Let i be d(1). Put 4, -7, i, p in ascending order.\nAnswer: -7, p, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - ((-5 - -3) + (-2 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1519*k**2 - 1503*k**2 + 3041*k**2 - 2.\nAnswer: 19*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((sqrt(300)*6)\/sqrt(12) - sqrt(25))\/sqrt(5) - (1 + -1*(2 + sqrt(40)\/sqrt(8))).\nAnswer: -24*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -277 - 4*d**2 + 277 + 4*d**4 - 2*d**5 - 4*d wrt d.\nAnswer: -120*d**2 + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -25, -3, -4, 10 in increasing order.\nAnswer: -25, -4, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, -2\/7, -859.692?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -2*n**3 + 0*n**2 - 6*n + 3*n**3 + 7 + n**2 - 5*n**2. Let r = 7 - 2. Let x be g(r). Solve x*m + 10 = -3*j, -j - 4*m - 25 = m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 297 = -5*t. Suppose 5 = 34*r - t*r. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 0*s + 115 + s - 131. Let w be o(20). Solve -3*k + 31 = -w*j + 9, -j + 4 = 4*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -0*w - 6. Let d(j) = -9*j**2 - 21*j - 4. Let t(v) = -2*v. Let q(y) = d(y) - 6*t(y). Let s(z) = -4*z**2 - 4*z - 2. Give w*q(h) - 13*s(h).\nAnswer: -2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1841 (b) -5\/3 (c) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = n + 133, -12*n + 16*n = -b + 148. What is the remainder when b is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of -20*f + 4 + 3 + 3 + 2*f**5 - 5*f**5. Differentiate p(j) with respect to j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1084651918?\nAnswer: 2, 7, 17, 4557361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/((((-63)\/12)\/(-3))\/(-1)). Let f = 254 + -255. Which is the third biggest value? (a) f (b) -3 (c) x (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 101*z**3 - 9*z**2 - 11*z + 9. Let t be b(10). Let k be t\/4 + 0 - (-2)\/8. Round k to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 194 a factor of 5871956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -202, 13, -0.2, 2\/5, 78, 0, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 9*u - 59. Suppose 6*t - 2 = u. Solve -4 + t = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13.5 - -18. Let g = 4 - t. What is the third smallest value in g, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6*5\/((-15)\/16). Let d be ((-15)\/6)\/(2\/k). Suppose 1 = -l - 1, 0 = 3*c + 4*l - 172. Calculate the highest common factor of d and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(171)*-2 - (sqrt(171) + -3*2*sqrt(171)))\/((sqrt(9) + (sqrt(9) - 6*sqrt(144)) - -6*(sqrt(9) - sqrt(36)))*-2)*3.\nAnswer: -15*sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 5*q + 5, 4*q + c = 6*c + 13. Suppose -3*p + m - 30 = -2*m, -5*p = 4*m + 5. Put -4, p, q in descending order.\nAnswer: q, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-75)\/(-6) + 4\/(-8). Solve j = 7*i - 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*m**5\/2 - 215115*m**4\/8 - 3921057*m**3\/2 + 76388751*m**2\/4 - 58744197*m + 475764597\/8 = 0. Calculate m.\nAnswer: -17853, -329\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be (7 + -7 - -4) + (-690)\/180. What is h in h - a*h**2 - 3\/2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 3*g**4\/4 + 225*g**3\/2 + 16419*g**2\/4 - 8550*g + 4332 = 0.\nAnswer: -76, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3\/(-9))\/((-1)\/33). Let r = 4 + f. Let h(u) = u**2 - 113*u + 442. Let p be h(4). Calculate the highest common factor of r and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z*z**(-1\/10))*z\/(z\/(z\/(z\/z**(-2\/53)))))**(-26) assuming z is positive.\nAnswer: z**(-429\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.66 - 0.56. Let b(j) = -j**2 - 2*j + 4. Let d be b(-4). Let u = 0.3 - 0.4. What is the closest to u in -2, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*-0.260154.\nAnswer: -1.30077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -6*v**4 - v**3 - v + 1. Let j(q) = -41*q**4 - 61*q**3 - 50*q**2 - 6*q + 6. Let k(a) = -6*f(a) + j(a). Suppose k(s) = 0. What is s?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17114333 + 5?\nAnswer: -17114328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*a - 10*a - 16 = -2*n, -n + a + 10 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3218168.\nAnswer: 2, 17, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 26 = -11. Suppose 0 = c*t + 83012 - 27212. Let z = -6060 - t. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 2 + 2 + (0 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -627, -982, -1337?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 2626 times 1810\nAnswer: 4753060","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Suppose p = 3*j - 1703, -2*j + 1150 = -p + 4*p. Suppose -j*b + 574*b = -300. Is -60 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 + (-9 - -13 - 14) + -59.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 90*g**2 - 1 + 5*g - 50*g**2 - 41*g**2. Let o be h(3). Solve 3*d + 9 = 5*t, o*d = -4*t + 10 + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + k = 12, 5*h - 16 = 4*k + 21. Suppose y - 13 - 6 = 2*s, -h*y - 3*s = -160. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25.462 minus 2.3?\nAnswer: 23.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 4*v - 7 = 4*m, 0 = 2*v + 3*m - 16. Suppose 1 - 6 = -g. Solve -2*s = -5*q + 4*q + 1, g*s + 40 = -v*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2 - 6. Suppose -5*b - 5 = c*m + 3*m, -b + 11 = -m. What is the units digit of (25\/15 + -2)*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 divided by -283.\nAnswer: 35\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(((sqrt(5) + 1*sqrt(45))**2 - sqrt(5) - sqrt(5)) + 3*sqrt(5)*-2) + 3 + -3.\nAnswer: -80 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kopekzkozzzekzkkko. What is prob of sequence oko?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/(-2)*(-6)\/12)\/((-22)\/(-44)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (17 + -71 - 21) + -4 + (-7 - 9)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 - 6*o**2 + 5*o - 6. Let y be j(-7). Solve 4*d = 2*d + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-1\/4))**(-17) assuming r is positive.\nAnswer: r**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence reer when four letters picked without replacement from eerdekeerdeder.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, 13, -4, -6, -16 in decreasing order.\nAnswer: 13, 5, -2, -4, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(((v\/(v\/(v\/v**(-2\/31)*v)))\/v)\/v))\/((v**(-28)*v)\/v))**(3\/29) assuming v is positive.\nAnswer: v**(2691\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3211 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(-6)*1)\/1*(8686 + -8848)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 8430\/13, 1, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q = -3*y - 16*q + 15, -4*y + 4*q + 20 = 0. Solve -5*p + w + 7 = 0, 0 = -4*p - p - y*w - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2100, -2109, -2150, -2241, -2400?\nAnswer: -2645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-154 - (-8906)\/61)*(1 + -6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 681826122?\nAnswer: 2, 3, 23, 1646923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-22)\/11*3\/96\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7535628059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 5 - 15 = 0. Let g(z) = -6*z + 2. Let f be g(x). Let u(o) = -o**3 - 10*o**2 - 2*o + 5. Is 11 a factor of u(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 584 - 886. Let h be (g\/30 + 10)\/(2\/(-24)). Which is the second biggest value? (a) h (b) -0.2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z - 14*z = -5. Let m be (-12 + 8 - -3)*z*-5. Solve -2*t + 17 = -0*t - m*w, 2*t + 3 = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-9) + 32\/18. Let m(z) = 0 + z**3 + 4 - 6*z**2 + v - z. Give m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 38 = -2*o, -5*o - 8*a + 3*a + 70 = 0. Let y(r) = -3*r + 46. Give y(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 359616?\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 450\/(-25)*1\/4*-6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2212122 - 112?\nAnswer: -2220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 84756.55 days in hours?\nAnswer: 2034157.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 1252*f**2 - 667*f + 1. Let j(k) = -1253*k**2 + 665*k - 1. Let i(l) = -7*j(l) - 6*u(l). Find the second derivative of i(t) wrt t.\nAnswer: 2518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2644.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8160 = 10*k - 4*k. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 75\/252 + (-122)\/488.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the first derivative of -3*j**2\/2 - 2*j - 1. Let o = 107 + -111. Let c be o\/((-12)\/9) + 3\/(-3). Give d(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 224112 and 53820984?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/7)*u)**(-3\/11)\/((u*u**(-1\/3))\/u*u\/(u**(2\/3)*u)*u) assuming u is positive.\nAnswer: u**(-15\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**2 + 15*v + 1. Let q(g) = g**2 - g + 2. Let h(p) = b(p) + 3*q(p). Give h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.04 + 50.34. Let i = -46.5958 - 0.4042. Let p = i + y. Which is the biggest value? (a) p (b) 17 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 47466443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 - 4*k**2 + 5*k + 6. Let b be a(-6). Calculate the highest common factor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13.85 times -2?\nAnswer: -27.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 107 (base 9) to base 15.\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2184895 divided by -129\nAnswer: 2184895\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*v**3 + 2572573655 - 2572573655.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 7 = -3*d + 17, -2 = -2*g. Suppose 0*v - 4*h = -v + 2, 0 = d*v + 3*h - 8. Solve -11 + 1 = v*j, -24 = -3*f + 3*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58 + 1 + 3 + (508 - 487).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*i**3 + 13*i**3 + 14*i**3 + 17*i**3 - 52*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (6*x**2 - 2*x**2 - 2*x**2 + (5*x + 0*x - 3*x)*(-3*x + 3*x + 4*x))*(-8*x - 8*x + 4*x) in the form q*x**2 + l*x**3 + u + t*x and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - 17*u - 33. Let z be r(19). Let y = -1\/159 + -35\/53. Which is the nearest to y? (a) 4.8 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 27*c + 1005. What is the remainder when 364 is divided by f(-33)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -16 + 45. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of -j**6\/360 - 19*j**5\/120 - 11*j**4\/24 + 5*j**3\/6 + 2*j. Let u(f) be the second derivative of g(f). Is u(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 34\/6 + 14\/(-21). Suppose 0 = -0*r - 5*r - 25, -3*d = s*r + 13. Solve -d*n + n = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.1232 and 9.47626316.\nAnswer: 9.59946316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 980 and 28.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, j: 2, q: 3, g: 12}. Give prob of picking 1 j and 3 g.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1352372 or 1352361?\nAnswer: 1352361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 103 divide 308010170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1.3+12.8733\nAnswer: 14.1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1 + sqrt(2299)*2).\nAnswer: -132*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((6*sqrt(2448)*-1)**2*5 - (((sqrt(153) + sqrt(153) + -1 + sqrt(153) + -2 + sqrt(153) - sqrt(153)) + sqrt(153))**2 + sqrt(153) + 5)).\nAnswer: 69*sqrt(17) + 438183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the second derivative of 0 - 8*n**2 + 7\/3*n**4 - 16\/3*n**3 - 8*n + n**5. Factor c(d).\nAnswer: 4*(d - 1)*(d + 2)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + (-10 - (9 - (-8 - -8)) - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of m**3*o**3 + 2*m**3*o**2 - m**3 + 6*m**2*o**4 - 50*m*o**2 + 2*o**4 wrt o.\nAnswer: 6*m**3 + 144*m**2*o + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 37*a + 1443. Calculate v(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2325838 is divided by 78?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26645, -53292, -79939, -106586, -133233, -159880?\nAnswer: -186527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the first derivative of -r**6\/120 - r**4\/24 + 2*r**3\/3 + 2. Let x(n) be the third derivative of v(n). Find the first derivative of x(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 11005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2, -4039, -0.225, -4, -1, -0.1?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c = -2*n + 12, 2*n = -c - 395186 + 395198 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2502618070.998819 + -2502619812. Let m = o + 1741. Round m to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -3583602.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 14 = 5*m, 6 = -8*m + 11*m + 3*f. Solve -3*h = -5*w + 38 - 9, -m*w = -2*h - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1729921 > -1729920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 206380979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -16045 (base 10) in base 15?\nAnswer: -4b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101988 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 - 5*n**2 + 5*n + 9. Let i be g(-6). Let d = 16 - i. Let h be (-1)\/(-2 + d) - 1. Solve 0 = -h*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 250607152 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 3714000 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - 8. Let c be i\/7*(-2)\/(-3). Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19*q**4 + 22*q**3 + 618*q**2 + 9*q - 110537.\nAnswer: -228*q**2 + 132*q + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -9 and 19.017.\nAnswer: -171.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -6 + 0 - (69 - (129 + (-35 - -63)))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -45\/106 and 10\/96*(-3069)\/310?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 4)*(4*i**3 - 22*i**3 - 10*i**3)*(i - 2 + 2).\nAnswer: 56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -11*z - 178. Calculate c(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -c*s*w - 152575*c*w**2 - 20*c*w - 6*c + 4*s*w**2 - 3*s*w - 17*s + 2*w**2 - 3*w + 12 wrt w.\nAnswer: -305150*c + 8*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 5*t = -3*y - 8, 12 = -2*y - 2*t. Suppose -w - 2*u = 542, -2*w + 0*u - 1077 = -3*u. What is the tens digit of w\/(-15)*((-22)\/(-3) + y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -148 divided by 57\nAnswer: -148\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -6969856.9044+-6\nAnswer: -6969862.9044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1973727 a multiple of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 77 - 65. What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -78263648 rounded to the nearest 1000000?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4084561 divided by 6?\nAnswer: -4084561\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (34\/(-12) - (-90)\/36)\/1. What is the closest to l in 0, 0.4, 0.3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 479 + -1436\/3. Which is the nearest to q? (a) -3\/8 (b) -3 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -7*o**2 + 2. Let g(a) = -8*a**2 - a + 3. Let s(w) = -6*g(w) + 7*y(w). Let h(x) = 3*x + 4 - 4*x - 3. Determine 4*h(t) + s(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -4.0544 and -1244043?\nAnswer: 1244038.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -402 - 411 + 813 - 6436*y in the form s + j*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/11, 236, -9, -0.3 in decreasing order.\nAnswer: 236, -2\/11, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3)\/4)\/(11 + (-46670)\/4240). Solve 105*v - m*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**2 - 7*a - 24. Let c be g(11). Let x(w) = 34*w**3 + w**2 + 0*w + c*w**3 + 1 + 2*w. Determine x(-1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -738, -1395, -1946, -2361, -2610, -2663, -2490, -2061?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.12078 + -0.1276112. What is b rounded to 4 decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of 185*k**4\/4 + 165*k**3\/2 - 2*k + 90. What is the second derivative of h(c) wrt c?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(1008) - (sqrt(1008) + -1 + -1 - sqrt(1008)) - (1*sqrt(1008) + -4))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lbel when four letters picked without replacement from {b: 1, e: 4, l: 2, h: 3, d: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 131060*l + 263. Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (164 - 7 + 104 - 128)*(-17*s**2 - 28*s**2 + 22*s**2).\nAnswer: -3059*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 90 - 88 - (-3 + -23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2935 - -5222. What are the prime factors of t?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 23871252 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most 923\/19769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1465 + 1468. What is the closest to -5 in q, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -7 - 2*q**3 - 2*q**5 + 7 + (-7*q**3 + 3*q**3 + 2*q**3)*(2*q**2 + q - q).\nAnswer: -6*q**5 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*q**3 - 60 - 15*q**3 - 17*q**3 - 76*q**2 + 76*q**2 - 24.\nAnswer: -q**3 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 416 divided by -1828\nAnswer: -104\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 330 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and -5104.\nAnswer: 510.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 28073961889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4164 and 740856.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -184\/277?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2094\/(-110) - (-182)\/5005 - -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 39 + -11. What are the prime factors of l*((-70)\/8)\/(-7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28243782 to the power of 1\/2, to the nearest integer?\nAnswer: 5314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**3 - 13*w**2 + 2*w + 17. Let b be j(-13). Calculate the remainder when (8\/5)\/(b\/(-135)) + -1 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9328, -37309, -83942, -149227, -233164?\nAnswer: -335753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(2\/13)*r**(-6)*(r*r**(-1\/3))\/r*r**(-9))\/((r**8*r**(-3))\/(r**(-8\/5)\/r*r\/(r*r**(-5\/6)))) assuming r is positive.\nAnswer: r**(-2853\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 473170221 and 315446814.\nAnswer: 946340442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.258, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + -c129?\nAnswer: -c126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2660\/2310 - (-160)\/880\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 - 3*u**2 + 4*u + 4. Let s be r(-4). Solve 5*c - p + 3 = 0, -s*p + 12 = -c + 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -48, -232\/339?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 15. Let y = 0.021 + 1.979. What is the smallest value in 1, -0.3, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 38 + -36. Suppose z*f + 0*f - i - 81 = 0, -f - 2*i + 38 = 0. Suppose 4*y + y + f = 0. Which is the biggest value? (a) 4 (b) 1\/8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 105 - 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (r**2 - 3*r**2 - 2*r**2)*(-2 + 2 + 3)*(1 + 1 + 0)*(r - 3 + 3) to c + k*r + j*r**3 + g*r**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 1 = 3. Suppose 4*i = 2*g - 0*i - 14, g + 1 = -p*i. Let z(c) = 0*c - g*c + 4*c - 9. Determine z(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 20\/7, 0, 38, 5.1.\nAnswer: 0, 20\/7, 5.1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52279, -52457, -52641, -52825, -53003, -53169, -53317?\nAnswer: -53441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 2)*(4 - 4 - 2*a + (a + 2*a - a)*(0 + 0 + 2) + 0*a - 2*a - a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.0591664201925 from -101.\nAnswer: -100.9408335798075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-76)\/(-10)*26\/(2392\/(-230)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/145 not equal to 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 38 and 1691.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes after 7:00 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-8)\/(-15)*(-160)\/(-128). Solve 2\/3*r**2 + 0*r - w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 71315820 and 32092119?\nAnswer: 641842380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 960196618?\nAnswer: 2, 17, 151, 187027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190416696 is divided by 355255.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 2 = -10. Let l(p) = p - 1. Let g be l(x). Suppose 3 = 4*n + 19, 0 = g*h - n + 40499996. What is h rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -98, 1, 3, 0.016?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 207 + -202. Suppose -5*x - 2*f + 79 = 0, -2*x - f - o = -37. Let u = -40 - -67. What is the remainder when u is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -123, -212, -297, -378, -455, -528, -597?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -294*-0.3.\nAnswer: 88.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -124.437 + 1197305.437. Let q = 1197181.0500027 - a. Let m = -0.05 + q. What is m rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 23427617 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2 and 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 517 by -11.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 674814.3 meters in kilometers?\nAnswer: 674.8143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -19.604 and -2.061445.\nAnswer: -21.665445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -4*z - 20. Suppose -2*w + 1 = -19. Let f be 3\/(15\/w*2\/(-6)). Calculate the remainder when g(f) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -43 + -c518?\nAnswer: -c55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14 in -2\/85, -2\/5, 2\/19, -0.5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*v - 55 - 17. Let s(x) = 1 + 8*x - 14*x + v + 5*x. Calculate s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1178656345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (63 - 418688\/6720) + (12\/63)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-5)*o*(o\/o**4)\/o*(o\/(o*o**6*o))\/o*o*o*o**(-2))\/((o**(2\/7)*o)\/o*o**8*(o\/o**(-4))\/o**(-2\/3)) assuming o is positive.\nAnswer: o**(-629\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -54*g + 305. Let m(i) = -13*i + 76. Let b(x) = -6*a(x) + 26*m(x). Calculate b(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*y**3 + 10*y**3 - 3*y**2 + 7*y**3)*(4 - 4 - 2*y**2).\nAnswer: -8*y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 2902337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 41214 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/9 or 0.87192?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6.02 + -6.12. Which is the biggest value? (a) -37 (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -22\/5 (b) -1 (c) 9 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = -5*c + 3*o, -19*o + 18*o = -3*c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28 and 3164?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 3*k - 8. Let v be q(4). Suppose d + v = 5*u, 14 = -2*u - 5*d - 6. Suppose u = 3*z + 2*z + 3*i - 35, -11 = -4*z + i. Solve 1 = -s + z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -15, -34, -59, -90?\n\"Answer: -3*w**2 - 10*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 2*c**2 - 58*c + 240. Let a be h(23). Let r = 132 + -87. Let l = a + r. What is the remainder when 34 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -95*v - 2145 + 2335. Sort -11, -5, -3, -1, v.\nAnswer: -11, -5, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1077*n - 911*n - 7138 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000368283 to 7 dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -2*i - 5. Calculate the remainder when (1 - (-11)\/(-3))\/((-1360)\/7140) is divided by t(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1093647 (base 10) in base 6?\nAnswer: -35235103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6537 is divided by 2488.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25 + -19. Suppose 0 = 4*r - 4*c - 20, 2*r + 4*c - 4 = a. Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 86*k**2 - 95*k + 2196. Is g(24) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 6 - 2, -3*a + 3*y + 34788 = 0. Is 62 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 + 15*a - 25. Let u be p(19). Which is bigger: -105 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -36 + -40. Let a = -378\/5 - u. Let 4\/5 - 6\/5*v + a*v**2 = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 10*y**2 - 2*y - 2. Is a(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 10*u + 66. Let a be v(-7). Let s(n) = -n**3 + 6*n**2 - n + 3. Let d be s(6). Let h be (2 + d)\/(4\/12). Which is bigger: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -870 + 869.7. Which is the nearest to 1\/2? (a) q (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -23276935 and -5099302.\nAnswer: -28376237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -4*d - 4. Let p be h(-1). Let i(n) = -n + 1. Let v be i(-8). Suppose -v*b = -4*b + 2*s - 56, 4*b = -4*s + 40. Solve p = -r + 4*r + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - 11\/(-13) - (49 - 46). Suppose -w = -6*w - 5*f - 5, 6 = 3*f. Put s, 2\/11, w, -2\/5 in increasing order.\nAnswer: w, -2\/5, s, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -4088*d + 40862. Give b(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.7, 3, 1\/5 in increasing order.\nAnswer: -0.7, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/21*(-3)\/(-6)*(15933792\/144)\/362.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 1 - 5 - (-1575)\/250.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -674 - -676. Let u(j) be the first derivative of -2\/3*j**3 - p - 1\/4*j**4 + 2*j + 1\/2*j**2. Factor u(g).\nAnswer: -(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c + b - 2 = 0, -10 = -2*c - 2*b + 3*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -4560*q + 6238072. Determine g(1368).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 3*k**3 - 4*k**2 - 2*k + 11. Let p be l(3). Suppose 47*f = p*f - 135. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-46 - -40)\/(-3 + 5 - (-57)\/(-12)). Solve 18\/11*l**3 + 0*l**2 - a*l - 6\/11*l**4 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 48*k**2 - 1056*k + 3. Let h be z(22). Solve h*t = -x + 7, -35*x + 31*x + t - 11 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 + 2)*(1 - 4*u - 1)*(1 - 1 + 2).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(143)*2*-3 - sqrt(143))\/(sqrt(176)*-1) + 5.\nAnswer: 5 + 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 AM and 8:22 PM?\nAnswer: 579","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -2*t**2 + 2*t - 2. Let x = -52 + 54. Calculate q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -6*q**2. Let a(d) = 14*d**2. Determine g(a(w)).\nAnswer: -1176*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 3*f - 11 - 5, -5*k - 2*f + 14 = 0. Let y(r) = -4*r**3 + 5*r**2 - 3*r**2 - 2*r**2 + 11*r**3 + 2 - k*r. Determine y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 12 = 3*x. Suppose -32*i = 805 + 635. Let u be i\/(-50)*(-20)\/(-24). Which is the third smallest value? (a) u (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*l**2 + 34 - 34 + 11*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3360\/15120*6\/(-52)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -34, -52, -46, -10, 62, 176, 338, 554?\n\"Answer: f**3 + 6*f**2 - 43*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 138 and 45379.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.512113 litres in millilitres?\nAnswer: 512.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 717747.4 micrograms in kilograms?\nAnswer: 0.0007177474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 221029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**2 - 19*d + 112. Is 11 a factor of h(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 712.4718 months?\nAnswer: 0.05937265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-39)\/(-78))\/(2\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and 609.\nAnswer: -304.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3433, 6892, 10351, 13810?\nAnswer: 17269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 148 and 166275.\nAnswer: 24608700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of p**7\/10 + 5*p**4\/8 - 12*p**2. What is the second derivative of q(w) wrt w?\nAnswer: 252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195972181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00169773 rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 29*q**2 + 34*q**2 - q**3 - 52*q**2 + (-10*q + 10*q + q**2)*(-q + 2*q - 3*q)*(-1 - 3 + 2).\nAnswer: 3*q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 368 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 89885703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + 4563?\nAnswer: 4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-9)\/15 + (-37)\/5. What are the prime factors of 10\/(-80) + (-641)\/w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*f - 622213 = 11*f - 3296969. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 z, and 1 n when three letters picked without replacement from {j: 1, m: 1, z: 2, l: 1, n: 2, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 5 = 3*t, -9 = 5*a + 2*t. Let q = a + 0. Let g = 5 + q. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and -9054?\nAnswer: -9054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 108859, 217773, 326689, 435607, 544527, 653449, 762373?\nAnswer: 871299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**4 - 275*c**3 + 3915*c**2 - 3645*c.\nAnswer: 5*c*(c - 27)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 5*h**4 - 15*h**3 + 10*h**2 = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of b**3 + 1 - 6*b + 0 - 6 + 2*b**2 - 2. Is 20 a factor of s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/4*18\/15. Let v be 4 + (1 - (s + 341)). Let q be (-1)\/(-3) + 93\/v. Does 1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 - 11210034582194.\nAnswer: -11210034582193.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -264 - 5*d**2 + 264 - 25*d.\nAnswer: -5*d*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -68\/70787 - 1797001\/708436296. Find the common denominator of 67\/6 and b.\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = -4*r + 5. Let l be -4 - (0 - 2) - (-12)\/r. Let t = 0 - -1. Which is the nearest to l? (a) 1\/3 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 17\/(1377\/(-504)) + (0 - -6). Let o = -4.3 - -4.61. Let b = -0.09 - o. What is the closest to 0.2 in -1, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 - 0. Suppose -184 - 116 = -d*s. Let b be (-10)\/4*(-12)\/s. Sort b, -5, 3 in increasing order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of v**7\/280 + v**5\/60 + v**3 + 2. Let j(x) be the third derivative of a(x). Find the second derivative of j(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 8, 42, 62?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*w - 24 = 67*w, -f + 5 = 4*w - 3*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eoeeeeeeeeeeeeeoeeeo. What is prob of sequence oeo?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1510919*x**2 - 416311 with respect to x.\nAnswer: -3021838*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**2 - 5*z - 5. Let m be n(-2). Suppose -2*r + 6*r = -4, -r = -3*x + 7. Suppose 0 = 3*t - x*t + 3*t. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**3 - 2*q**2 - 2*q - 1. Let m(r) = 3*r**3 - 5*r**2 - 7*r - 4. Let z(c) = -4*m(c) + 11*u(c). Suppose -1 = d + 3. What are the prime factors of z(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 103 divide 325995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2*y**2 - y - 4. Let t be m(2). Suppose 268 - 76 = t*j. Calculate the greatest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 23639*n - 1. Let r be d(-1). Let c(u) = -283*u**2 + 61*u. Let g be c(7). Let l = r - g. Round l to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of m**6\/200 - m**5\/25 + m**4\/10 + 304*m**2. Let u(h) = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 22 and 232?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 73, 71, 71, 67, 53?\n\"Answer: -z**3 + 7*z**2 - 16*z + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45672 and 16.\nAnswer: 91344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 4*o + 10. Let z be t(-8). Let c be z\/18 + 6\/27. Let h = -0.4 - -4.4. What is the third biggest value in c, h, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 72, -8, 4, 3, -5, -3, -11 in increasing order.\nAnswer: -11, -8, -5, -3, 3, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = 4*f + 136, -9*f + 2*r = 1037 - 698 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3, 2\/2867, 87, -1\/161?\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -2019798 >= -14138581\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 5, m: 13}. What is prob of picking 4 m?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 6 - n**2)*(-5*n**3 + 7*n**3 - n - 13 - n**2 + 9).\nAnswer: -2*n**5 + n**4 + n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3762 + 16216. What are the prime factors of w?\nAnswer: 2, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*j**3 - j**3 - 5*j**3 + 6*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 0 - 1 - (-115)\/110 and 11\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 35\/1377 and -55\/486.\nAnswer: 8262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 15*y**4 - 63*y**3\/5 - 87*y**2\/5 + 63*y\/5 + 12\/5 = 0.\nAnswer: -1, -4\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a55c - -2?\nAnswer: a560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*x**5 + 13*x**4 - 13*x**4)*(-1 + 14 + 6)*(2 - 2 - 2) - 4*x**5 - x**5 + 3*x**5.\nAnswer: -534*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 37cc (base 14) to base 8.\nAnswer: 23070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 0*a = 40. Let c = a - -14. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7386*d**3*g - 2*d**3*w**2 - d*g*w**2 + 46*d*w**2 + 4*g*w - 4*g wrt d.\nAnswer: -44316*d*g - 12*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-43)\/(-78) + (90\/(-75))\/((-36)\/(-20))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 32*f*t**5 - f*t**3 + 118*f*t**2 wrt t.\nAnswer: 1920*f*t**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -122 - -120.06. Let l = r - -1.14. Which is the nearest to -0.1? (a) l (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 610 (base 10) to base 5.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2661 = 2076. Let h = -1102 + b. Suppose -6*s + h = -87. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*c + 1. Let a(d) = -27*d**3 - 2*d**2 - 3*d - 2. Let b be a(c). Let u = b - 15. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 + 5*j**2 + 2*j - 3. Give d(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 + 4\/10)*15. Let q be 68\/(-20) - k\/10. Let b be (-20)\/(-5) - q\/(-2). Solve 5*t = b*s + 20 - 4, 5*s + 2*t = -11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1204 = 9*c + 5*c. Suppose o - p = -o + 98, -2*o + c = -4*p. Suppose 12*k - o = 9*k. What is the remainder when 31 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -298 = -39*p - 64 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n. Suppose -3*j - s + 11 = 0, 5*s = -18 - 2. Suppose 6*p = -j*y + 3*p + 15, 29 = 4*y - p. Let q(i) = -21*i. What is y*q(a) - 119*k(a)?\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**2 - 7*c + 3. Let g be k(-7). What is the second derivative of 3*m**3 - 6*m + m + g*m wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1\/((-70)\/71 - -1) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*r - 244 + 244)*(5*r - 4*r - 2*r)*(24*r**2 - r**2 - 40*r**2)*(0*r + 7*r - 3*r).\nAnswer: -680*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + -2.1. Let q = 3.75 - 4.75. Which is the nearest to i? (a) q (b) 3\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -194733*a - 10545 = -194828*a for a.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4.229845ml in litres?\nAnswer: 0.004229845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, h: 2, v: 1, u: 1}. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-28.06.\nAnswer: 11.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1409*q + 69962 - 202682 = 2569*q + 2632*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -300 - -1?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 408 divide 79527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2\/5 - 26716*g - 446090410.\nAnswer: -2*(g + 33395)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 3 b when four letters picked without replacement from {z: 2, j: 6, c: 1, s: 4, f: 3, b: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9744)\/4263*147\/12?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 92014 is divided by 432.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 49 in 11, -0.3, -253, -30, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2443675710?\nAnswer: 2, 3, 5, 7, 17, 23, 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.067 (b) -15 (c) -39 (d) -1 (e) -61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fuw when three letters picked without replacement from bwfdbtuuuttubb.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1845464966 to the power of 1\/2, to the nearest integer?\nAnswer: 42959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 73341, 73342, 73343, 73344, 73345?\n\"Answer: n + 73340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/(-14))\/(11\/(77\/(-2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 3 = 2*c, -9*b + 3 = -c - 8*b. Suppose 10*s - 156 - 244 = c. What is the remainder when 359 is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of 6833*v**3\/3 + 5106. Let h(j) = -2*j**2. Give h(x(n)).\nAnswer: -93379778*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r + 3*r + 20 = 0. Suppose -r*d = 4*v - 155, 3*v - 2 = 13. Suppose -d = -4*z + z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 8 = -8. Let q be (-25)\/(-12)*2 + r. What is the closest to 0.1 in 4, -3\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 365 = 9*l. Let q = 76 - l. Solve -22 = -c - 5*n, 0*c - 2*c + 9 = q*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 44, 0, 8442 in ascending order.\nAnswer: 0, 44, 8442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 480?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 26*(-12)\/3*(-1505)\/(-1505)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(245) + -2))**2 - sqrt(245)) + 3 - (3 + (-1*sqrt(605))**2)*-4.\nAnswer: -119*sqrt(5) + 3431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -28\/9 - -139\/36. Factor 0*v - 1\/4*v**2 + 0 - 1\/4*v**5 - 3\/4*v**3 - u*v**4.\nAnswer: -v**2*(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 3 (b) 6 (c) -3 (d) 201 (e) -16.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Do 398 and 1992\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u**2 - 26*u + 26*u)*((-7*u**2 + 3*u**2 + 2*u**2)*(u - 2 + 2) - 3*u**3 + 0*u**3 + 4*u**3).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.08335 + -0.21665. Which is the closest to 0.055? (a) 44 (b) -5 (c) v (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002655488 to five dps.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 892 - 388. Suppose -4 = 4*m - f. What is the greatest common factor of m and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes before 8:04 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 86 - 78. Let n be (4 - z) + 3 + 3. Let k(p) = 6*p**2 + 4*p - 2. Let u be k(n). Solve -5*o + u = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3458705*g**3*q*y**2 - 28*g**3 - g**2*q - 2*g**2*y - g*q*y - 2722*g*y wrt y.\nAnswer: -6917410*g**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(6*(2 + -1 + sqrt(300)*-1 + -4))**2.\nAnswer: 8640*sqrt(3) + 44496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1130*p + 370*p - 15500 = 68500 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3880 - -201657\/52. Suppose -5*p = 2*w - 18, 3*w - 6 = 5*p + 21. What is the common denominator of (-202)\/(-24) + (-6)\/w + 1 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 - k**2 - 5*k - 2. Let t be (8\/3)\/((-12)\/(-18)). Let b be u(t). Let m = b + -136. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + a + 145 = 27, 4*l - a - 484 = 0. Sort l, -2, 0 in descending order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2396480038.\nAnswer: 2, 17, 61, 89, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -33 divided by 33\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/6 + (-55352)\/(-408). Calculate the highest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 289020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + c = -4, -2*c + 3*c + 6 = 5*b. Suppose -b*l + 37 = 5*o, 0 = 4*l - 3*o - 2*o + 1. Calculate the lowest common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -118*f + 119*f + 4*b, 4*b = 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Total of 2 and 0.09.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 62\/19?\nAnswer: 62\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -234 - -15544?\nAnswer: 15310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*c + 710 = 15*c. Suppose 4*v = -2*s + c, -3*s - 4*v = -v - 198. Let q = 9 + s. Does 35 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o + 11. Give k(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 + 11. What is the units digit of (5 + f\/1)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4598581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2058, 8060, 18020, 31938, 49814, 71648?\nAnswer: 97440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of -2*r**5\/25 - 4*r**4\/5 + 2*r**3\/15 + 8*r**2\/5 - 60. Factor i(x).\nAnswer: -2*x*(x - 1)*(x + 1)*(x + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 562093?\nAnswer: 7, 59, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1033 - -1055. Let x be (1 - 31)*(-3)\/(-6). Let d = y + x. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = o - 2 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -665 (b) -380 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 3 (c) -8 (d) 55 (e) 0 (f) 0.3 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*r = 19*r + 138328. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, f: 7, j: 1, v: 5, s: 2}. Give prob of sequence fsd.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 9*v - 442. Calculate m(44).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*q - 60*q**2 - 20*q**4 + 131*q**3 - 56*q**3 - 27*q.\nAnswer: -5*q*(q - 2)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -8840a6a - -2?\nAnswer: -8840a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 + 4*c - 3 + 3)*(-2 - 1 - 1) as k + y*c and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**0*h)\/h)\/h)**(-7)\/(h*(h*h*h\/(((h*h**6)\/h)\/h))\/h*h*h**4\/h) assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -4*n**2 + 2*n + 2. Let v = -625 - -643. Let u(p) be the first derivative of 17*p**3\/3 - 9*p**2\/2 - 9*p + 3. Determine v*o(i) + 4*u(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7634433943\/26155860 + 1\/1538580. Let d = -292 + y. Which is the closest to -2? (a) -0.1 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 + 9. Let h(n) = n**3 + 2*n**2 - n + 6. What is the smallest common multiple of h(0) and (4 - 0 - 2)*j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 3*i**2\/7 + 27999*i - 784020\/7 = 0.\nAnswer: -65335, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 8.112 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-260)\/(-39)*(-72)\/(-60).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3773883314?\nAnswer: 2, 269, 7014653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 14*z. Let u(l) = -13*l + 14. Let n(i) = 42*i - 40. Let c(f) = 5*n(f) + 16*u(f). What is c(b(v))?\nAnswer: 28*v + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + 85\/15 + (-5)\/(-15). Let h be (4\/10)\/((-8)\/(-10)). Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -1\/85, -8\/7, -18?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5.227 + 5.48. Round c to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -210\/4691 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-882)\/168*(-6 - 161\/42 - -10)*-88.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 502357008.\nAnswer: 2, 3, 10465771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ygv when three letters picked without replacement from {g: 2, a: 2, y: 2, v: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.1 - 0.1. Let v be 1005\/(-900) + 9\/((-252)\/(-35)). Which is the closest to i? (a) -3\/8 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*f**2\/6 + 55499*f\/3 + 21144.\nAnswer: -(f - 15858)*(7*f + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 546160097?\nAnswer: 7, 78022871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0117*1.6.\nAnswer: 0.01872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-16)\/24 + 8\/3. Let n be (8\/2 - 4)\/(-4). Let c(q) = q**2 + 5*q - 8. Let f be c(-8). Solve 4*b = 4*o + f, n = -g*b + b + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -6, 8930, 0, 9 in descending order.\nAnswer: 8930, 9, 5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 123173 + 283233 = 4147*h for h.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*x + 28*x - 19*x - 856*x + 867*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 3*v**5 + 57*v**4 + 237*v**3 + 399*v**2 + 300*v + 84 = 0.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*s = -2*t - 20, -t - 1271451 = -1271447 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8 and 2078.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.5, 3\/5, -2, 6, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 84.034 and -0.1409?\nAnswer: 84.1749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 0 + -3 + 4 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (5 + (-13 - -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1449, -2896, -4343, -5790, -7237, -8684?\n\"Answer: -1447*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**2 + 22*n - 8. Is y(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 5*a**2 - 4. Let f(s) = -9*s**2 + 7. Let v(x) = 3 - 8 - x + 0*x. Let h be v(-8). Let u be -4 + 12 + (-3)\/h. Calculate u*b(g) + 4*f(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**3\/7 + 18192*r**2\/7 + 290688*r\/7 + 1162240\/7.\nAnswer: 2*(r + 8)**2*(r + 9080)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -u - 37438, -2*u = -1 - 3. Suppose 2*w - 5856 = z. Suppose q = 8712 + w. Round q to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*y + 23*y + 1 = -62*y + 5*k + 20, 3*k - 15 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -800, -852, -940, -1076, -1272?\n\"Answer: -2*j**3 - 6*j**2 - 20*j - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*g - g + 3*g)*(-2 - 770036*g**2 - 2 + 4 + 850522*g**2) to the form x*g + n*g**2 + f + z*g**3 and give z.\nAnswer: 160972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*q**3 + 2 - 2 + (-2487*q**3 + 591545 - 591545)*(0 - 1 + 3).\nAnswer: -4972*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15 - 12. Suppose 3*g - y + 0*y = 16, -p*y = 3*g. Let k be 9 + (-2 - -1 - 1). Solve -3*x + 12 = -4*o, k + 5 = g*o + 3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12120 (base 4) in base 12?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/296 and 199\/(-597) + 1\/((-1110)\/(-5113)) + -4.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, x: 1, e: 5, i: 2, r: 3}. Give prob of sequence lxi.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3943 + 3949. Let y(w) = 7*w - 44. Let m(t) = -7*t + 44. Let b(r) = 4*m(r) + 5*y(r). Let d be b(u). Let n(k) = 6*k - 1. What is n(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13813 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -4972552 + -2.001.\nAnswer: -4972554.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -17.553 - -14.713. What is the second biggest value in g, 5\/2, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.329 and -8.72.\nAnswer: -2.86888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of k**8\/3360 + k**7\/504 - k**4\/12 - 2*k. Let x(t) be the third derivative of h(t). What is the third derivative of x(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13486 - 9207. Is j 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 ezezejeezpxjzxeejje. What is prob of sequence ejjp?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7540 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (1 - 0 - (12 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, f: 7, c: 5}. What is prob of sequence ffcm?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 25 = -5*p, -4*p - p = 4*k + 25. Solve -3*c + 27 = 5*v, k = c - 6*c + 4*v + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.8 - 1.3985?\nAnswer: 0.4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -57, -7154, -26385, -63816, -125513, -217542, -345969?\n\"Answer: -1011*g**3 - g**2 - 17*g + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1151 - 1095. Calculate the greatest common divisor of o and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1153*s - 417*s = -910*s + 17946 - 87078 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 46*l - 44*l - 2*l**2 + 1 + 0 + 5*l**4 - 3*l**4 as n*l**3 + c + t*l + x*l**2 + i*l**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*3*sqrt(156) + sqrt(156) + 3*(sqrt(156) - (1*sqrt(156) + sqrt(156))))\/((-3*sqrt(132)*1)\/sqrt(704)).\nAnswer: -56*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 + 7. Let p be 114*(1 - ((-9)\/(-2) - 3)). Let v be p\/21 + 1\/((-14)\/4). What is the nearest to 10 in -4\/3, o, v?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.5 - 0.5. Let o = -114 + 303. Let x be (-1)\/((-14)\/24)*o\/(-18). Put w, x, -2\/7 in ascending order.\nAnswer: x, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 46 + 81. Suppose -3*i - i = -3*f - 249, f = -2*i + o. Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 19820 at least 20349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1058019, -2116035, -3174051, -4232067, -5290083, -6348099?\n\"Answer: -1058016*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -1 + sqrt(891).\nAnswer: -4 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -2189 at least as big as -2191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 57 - 36. Let n be 51\/j + 9\/(-21). Suppose n*t - 16 = 104. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {x: 4, v: 7, h: 2}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21 + -24. Let w = -5 - -1. Sort w, g, 5.\nAnswer: w, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -96? (a) -7 (b) -1\/4 (c) -3\/16 (d) 0 (e) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1141\/147 - (7 - 0). Let a(x) be the second derivative of p*x**3 + 1\/70*x**5 - 4\/21*x**4 + 0*x**2 - 5*x + 0. Factor a(f).\nAnswer: 2*f*(f - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**2 - 11*v + 107. Let g be c(-17). Suppose -3*j + g*p - 6*p = -2539, 3*j + 2*p - 2537 = 0. Is 77 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 5*(27\/63)\/3\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 179\/163212 and -187\/18270.\nAnswer: 2448180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -34165 (base 9) to base 12.\nAnswer: -111ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -449 = -132*d + 475 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes before 9:37 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -15323172.3 rounded to the nearest 1000?\nAnswer: -15323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the second derivative of u**5\/40 + 203*u**4\/24 - 2*u**3\/3 + 5*u. Let k(c) be the second derivative of n(c). Is k(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 8, n: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add -859 and -0.035.\nAnswer: -859.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n**4 - 6325*n**3 - 365135*n**2 - 6242795*n - 33487350 = 0. Calculate n.\nAnswer: -30, -13, 1321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, s: 7}. Give prob of sequence scs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3483273946 to the power of 1\/2, to the nearest integer?\nAnswer: 59019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9466 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-24\/5)\/x**(-4\/3)*(x**(2\/29))**(-43) assuming x is positive.\nAnswer: x**(-2798\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 90\/(-10) + 14\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 2*m + 8. Let s be b(-6). Let j = -3 - s. What is the units digit of -2*(j*-3 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -156949.85 to the nearest one thousand.\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 - 2. Let l(k) = k**3 - 3*k**2 + 4*k - 2. Let g be l(a). Suppose 5 = -g*o + 23. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 + 2*u + 24. What is g(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lbllkkl. What is prob of sequence kkbl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the first derivative of -5*l**3\/3 - l**2 - 3*l + 65. Calculate b(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 10\/(-5)*6\/(-4). Suppose 0 = -5*h - 4*x + 42, x - 3 - 25 = -c*h. What is the smallest common multiple of h and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 12225\/79 or 2\/5?\nAnswer: 12225\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**4\/2 + 125*f**3 - 10458*f**2 + 296227*f - 571787\/2.\nAnswer: -(f - 83)**3*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**8*w**(2\/13))**48 assuming w is positive.\nAnswer: w**(5088\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t**3 + 51969*t**2\/4 + 356211*t\/2 + 505089\/4 = 0.\nAnswer: -4317, -13, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 22042079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -12*b**2. Let j(d) = 5*d**2 - 7. Suppose 0 = -w + 11 - 4. Let v(r) = 5*r**2 - 6. Let m(p) = w*v(p) - 6*j(p). Determine k(m(s)).\nAnswer: -300*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00340408842 rounded to 7 decimal places?\nAnswer: 0.0034041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6, -3, 1\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11 - -21. Suppose 0 = -3*z + z + l. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of 2*r**3 + 4*r. Let j be f(9). Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4820*y**2 - 101226*y + 126.\nAnswer: 2*(y - 21)*(2410*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3526913, -7053826, -10580739, -14107652, -17634565?\nAnswer: -21161478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8356 is divided by 380.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**7*a)\/((a**(-2\/13)*a)\/a)*((a*a*a**(-2\/5)*a)\/a)**7*(a**(-1))**(2\/67)*a**(2\/3)*a\/(a\/a**(3\/2))*a assuming a is positive.\nAnswer: a**(613811\/26130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a**2 + 2646789*a - 28431415 with respect to a.\nAnswer: 2*a + 2646789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 32*t**3 - 7*t**2 - 63*t + 225. Give p(4).\nAnswer: 1909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4883392.\nAnswer: 2, 76303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -268929 by 6.\nAnswer: -89643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1214806173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j + 0 + 0 - j + j - 11*j + (3 - 1 - 1)*(3 - j - 3) + (-1 + 4 - 1)*(-3*j + j - j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - 30*v + 168. Solve 5*f + 5*w - 20 = 0, -v*f + 3*f - 12 = -3*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/5? (a) 5\/2 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -600, -345, 2, 0, 34 in decreasing order.\nAnswer: 34, 2, 0, -345, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2599 + -2595. Which is smaller: h or 44\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes after 10:38 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 13 = -2*r, -19*x - 3*r = -17*x - 7. Suppose 5*z + 3486 = 5*o + 151, -2*z - 1314 = 3*o. Is (z\/(-9))\/(x\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -423 + 17*u**2 + 281 + 142 - 3*u.\nAnswer: 17*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 129791 and 20.\nAnswer: 2595820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 - 27 + 15*i)*(-51*i + 34*i - 46*i).\nAnswer: -945*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -6, 1, 12, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + -3)\/((-288)\/42 - -7). Let o(w) = w**3 + 23*w**2 + 42*w + 27. Let r be o(v). Let i = 17 - 10. Solve -4*p = i - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + l = -23, -l = -2*p - 4*l - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4198\/33 + -380\/3. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1081408691?\nAnswer: 11, 3539, 27779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 895, 3320, 7355, 12994, 20231, 29060, 39475?\n\"Answer: -k**3 + 811*k**2 - k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 30*p + 18*p + 11*p = 105, 0 = -4*p. Is 5 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-118 - -129) + (-41)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 294 and 28616?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5532, -4, 0, 3, 1, -3 in decreasing order.\nAnswer: 5532, 3, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 57 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-5))\/((6\/(-4))\/1)*(-308825)\/(-12353)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 105897579 to the power of 1\/3, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 183667 (base 11) to base 10\nAnswer: 282971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(112)*-1*-4 - sqrt(112) - sqrt(112))**2 - ((1 + sqrt(112) - sqrt(112)) + -4)) + -1.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1106 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2, 5, -9 in ascending order.\nAnswer: -9, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 90649, 90663, 90685, 90715, 90753, 90799?\n\"Answer: 4*g**2 + 2*g + 90643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r**2 - 37 + 110 - 38 - 35.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -30480, -60994, -91512, -122034, -152560, -183090, -213624?\n\"Answer: -2*f**2 - 30508*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the first derivative of d**3\/3 + d**2 - 6*d - 1. Let y be 4\/(-18) + 1*(-172)\/36. List the prime factors of w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1046*t + 660*t - 1006*t.\nAnswer: -1392*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2*1)\/((-5)\/20). Suppose 0*q + q = b. Solve 2*f + 7*p = 5*p - q, f - p = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-2*sqrt(104))\/(((1*sqrt(132))\/sqrt(11) - sqrt(12) - sqrt(12))\/sqrt(6)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ozyt when four letters picked without replacement from {z: 2, o: 1, y: 1, t: 1, u: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 145981550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = a + 4*i - 12, 0 = -a + 2*i - 8. Put 1, 3, a, -3 in increasing order.\nAnswer: -3, a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 556 (b) -1 (c) 4 (d) 986 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -100825 - -580852827\/5761. Let f = d - -167033\/103698. Calculate the common denominator of (164\/(-12))\/((-10)\/9) and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.4 - -0.34. Let o = 0.44 - y. Let t = o - 1.5. Is -2\/5 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -203143*m - 2437711. Calculate q(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from xbdaabii?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.8 - 2. Let l = 0.01 + -5.01. What is the second smallest value in l, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 14, p: 1}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -3280015.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**2\/9 - 77560*q\/9 + 155128\/9.\nAnswer: -2*(q - 2)*(q + 38782)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = 13*l + 39. Let m be l\/(-15)*3 - (1 + -3). Solve t - 3*z = 9, -7*t + m*t + 10 = z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -2*x**2 - 5*x - 4. Suppose -9 = -3*q + 3*t, 4*t - 22 - 2 = -5*q. Suppose q = -m + 3*m - 2*p, 2*m - 3*p - 9 = 0. Calculate k(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59934307 to the power of 1\/2, to the nearest integer?\nAnswer: 7742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 2273*o - 9059. Give p(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1013\/7 - -145. Let a be 1\/4 - ((-270)\/48 - -6). Let m = -43 - -42. What is the closest to -2\/3 in a, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -76898.6 and 62915.\nAnswer: -13983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 17*l - 191 - 166. Suppose 5*c - 4 - 18 = -3*g, -4*g + l = 5*c. Which is bigger: 184 or g?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (3 - 1 - 3) + 116 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 5, 0.5, -4, 3, -20 in decreasing order.\nAnswer: 5, 3, 1, 0.5, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 99949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -39.775371300351 + -4\nAnswer: -43.775371300351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 5, -1\/393, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 246 by 82.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbbl when four letters picked without replacement from {l: 2, b: 2, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 16110073 or 16110067?\nAnswer: 16110073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 7\/2, 0.1, 0.14, -4\/3, 13, 8\/9 in decreasing order.\nAnswer: 13, 7\/2, 8\/9, 0.14, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -16*c**3 - c**2 - 2*c + 2. Let q(z) = 465*z + 467. Let s be q(-1). Let r(g) = -79*g**3 - 5*g**2 - 11*g + 11. Determine s*r(m) - 11*i(m).\nAnswer: 18*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 5 = x + 5, 0 = 2*x - v + 5. Suppose 5*h - 3*d = -76, -2*d - 4 = 2. Sort x, h, -1 in increasing order.\nAnswer: h, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1928.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.3 from -32.4683.\nAnswer: -32.1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - 5*c + 3*w + 100, -4*w + 220 = 2*c. Let t = -55 + c. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -18 - -27. Suppose 5*x - l*x = -12. Solve x*t + 17 = -2*s, -2*s + s - 5*t - 19 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence psz when three letters picked without replacement from ezzpspezzepsppe.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 49 + (-10 - ((-33)\/(-22)*14 - 39)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 165 and 99165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b - b + b)*(b - b + b**2) - 20*b + 413*b**3 + 25*b - 7*b.\nAnswer: 411*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in 5, -0.4, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 576.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (-6 - 9 - -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*l + 101 = 46. Suppose -3*g + 3121 = -4*z, -l*z = 8*g - 3*g - 5190. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) 19\/4 (c) -1\/14 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31874 is divided by 2897.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -7*f - 24. Let j be w(-24). What is the greatest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.315 + -0.313. Let q = j - 0.002. Which is the closest to q? (a) 4 (b) 3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in 36, -1, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 233, 0, 5.\nAnswer: 0, 2, 5, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 7308 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 8. Let p = -805.99 - -802. Let m = 0.01 - p. Which is the closest to 1? (a) j (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*v**2 + 2*v**2 + 3*v**2 - 4 - 8*v**2 + 13*v + 5*v**2 in the form c + m*v**2 + a*v and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -478 + 1126 + 4*f + 605 + 6994.\nAnswer: 4*f + 8247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + -2 + (sqrt(704) - -2*(0 + sqrt(704))) + 0)*3*4*1)**2.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/(-7))\/((-3)\/(-7)). Let u(b) = -b**3 - 8*b**2 + b + 9. Let l be u(-8). What is the second biggest value in f, l, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 91, 2, 219, -3 in ascending order.\nAnswer: -3, 2, 91, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + -4. Let f(u) = 3*u**3. Let r be 23\/7 - 2\/7. Let x(s) = -r*s**3 + s**3 + 3*s**3. Determine j*f(y) - 5*x(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1248578116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8920976601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -35 + 37. Find the third derivative of -186*j**4 + 186*j**4 - 6*j**5 + 25*j**q wrt j.\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(147))**2 + sqrt(3) - (sqrt(3) - 4*(sqrt(3)*1)**2).\nAnswer: 56*sqrt(3) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1594, 1598, 1602, 1606?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - -6 - 0 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -55 + 2*o**2 + 49 - 2*o**2 - 125 - o**2 as z + m*o**2 + s*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29.31 - -25.3107. Let q = x - -4. What is q rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -123 + 123. Let m(b) be the second derivative of -1\/3*b**3 + 2*b + u - 1\/2*b**2. Differentiate m(f) with respect to f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 + 6*w**2 - 4*w - 10. Calculate the remainder when p(-4) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/4 or -7.55?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*z - 2*o + 8, -11*z - 19 = -6*z + 2*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3960 - -3940. What is the closest to -0.1 in -9, q, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m - 13*m - 8*m + 21*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-1*(sqrt(68) + sqrt(68)*1 - sqrt(68))*-3)\/(sqrt(100)*-2 - (sqrt(144) + (sqrt(144) - (sqrt(144) + sqrt(144) + sqrt(144)*-1)) + sqrt(144))).\nAnswer: -1 - 3*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 4, -787, -1, -4.\nAnswer: -787, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 PM and 6:24 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -2*l - l**2 - 4*l**3 + 2*l**3 + 3*l**3. Let x be y(-3). Let n be (x\/(-3))\/(-2)*-1. Calculate the highest common factor of n and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 + 4 + -16 + 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + o = 79, 3*h = h + 5*o + 23. Let z = -147713\/1206 + 1102\/9. Let x = 1242\/67 + z. Calculate the common denominator of x and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2\/3*a**4 + 0 + 0*a + 0*a**3 + 2\/3*a**5 + 0*a**2 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.06 - 0.24. Which is the third smallest value? (a) -1\/3 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 165083915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 2 y, and 1 i when four letters picked without replacement from ixyyaayayx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 282 = 1398. Suppose u = -2*t + 864, 4*t = -u + j + 1394. Suppose l - t = -5*i, i - 5*l - 74 = -l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 3507*n**3 + 5*n**2 + 308*n + 7. Let z(r) = 1754*r**3 + 2*r**2 + 151*r + 3. Let s(a) = -2*o(a) + 5*z(a). What is the second derivative of s(t) wrt t?\nAnswer: 10536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 35, 73, 111, 149?\n\"Answer: 38*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5953718 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - 2. Let q = r - 0. Let z = 0.2 + -0.6. What is the biggest value in q, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 221*v**2 + 8 + 0 - 8 + 30*v**2 in the form w*v**2 + j + g*v and give w.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -0.1801337154591.\nAnswer: -1.8198662845409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1069.6182656 - 2?\nAnswer: 1067.6182656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -21*l - 29*l + 64*l. Let i(r) be the first derivative of 0*r - 9 - 1\/2*r**2. What is i(q(o))?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1160 is divided by 372.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 1059522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -1 + 1 + (5 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(27\/12) - (8 + (-120)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64808 is divided by 4277.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -t*u**5 + t*u**2 - t*u - 2*t - 7*u**5 + 1102*u wrt u.\nAnswer: -20*t*u**3 + 2*t - 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 3*w + 1. Let o = 564 - 571. Let l(y) = 1. Let t(d) = d + 5. Let h(f) = 3*l(f) + t(f). Let r be h(o). Determine m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the first derivative of 129*d**2\/2 + 2*d + 6. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 165282513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*x - 2797 - 3 = 0. What is the highest common divisor of x and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -299*h**5 + 125*h wrt h.\nAnswer: -5980*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w - 1 = -3*p - w, 2*p - w = 3. Suppose 5*i - 5 = -j, -5*i - p*j + 5 = j. Sort 3, i, 5 in ascending order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 79 = -15. Let z be (n\/(-28))\/((-2)\/(-7)). Suppose -3*x = 5*k - 86, -z*k = -x + k + 38. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -11943.567525864 and 11.\nAnswer: -11932.567525864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i**2 + 308*i - 5182. Determine a(135).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -33345, -133371, -300079, -533469?\n\"Answer: -33341*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/36 and (102\/(-16))\/3*(-36)\/(-42)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16544785 and 13235828?\nAnswer: 66179140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1557*z + 3*z**3 - 15*z**3 + 4491*z + 10*z**3 - 1559*z - 1375*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 + -1. Let m be i\/14 + 7860\/(-21). Let q = m - 96. Round q to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1633*w - 30046 = 14066 + 57134 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 32945 + -4.123?\nAnswer: 32940.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 2*x - 6 + 6 + (x - 2*x - x)*(1 + 2 - 4) - 2 + 2 + x - 2 - 14*x + 2 + (-3*x + 0*x + x)*(0 + 3 - 2) + 0*x - 5*x + 3*x as q*x + j and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -66303, -133108, -199913?\n\"Answer: -66805*d + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -3*g + 5. Suppose -q - 3*n + 41 - 28 = 0, -2*n = 4*q - 12. Let p(j) = -j + 1. What is q*m(w) - 6*p(w)?\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 91292+736707496\nAnswer: 736798788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/36 - (-35)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -d**3 + d**3 - 2*d**4 + (2*d**2 - 4*d**2 + d**2)*(-2*d**2 + 2*d**2 - d**2) + d**4 + 2*d**4 + 0*d**4.\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 105*d**3 + 140*d**2. Let w(v) = v**3 + v**2. Calculate g(f) - 140*w(f).\nAnswer: -35*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 3270, 3268, 3264, 3258, 3250, 3240, 3228?\n\"Answer: -z**2 + z + 3270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18500 divided by 148.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 2 - 14. Suppose 0*l + 8 = 4*l. Suppose -2*n + 4*t = -m, -l = -n - t + 1. Does 3 = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4659194737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 57a (base 12) in base 6?\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -2*b**3 - 6*b + 424. What is the remainder when t(0) is divided by 74?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q = 16*o + 18, 0 = o - 3*q + 23 - 38 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -408716 + 14?\nAnswer: -408702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, 24, -33 in increasing order.\nAnswer: -33, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/42)\/((-7)\/((-196)\/(-40)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -3*h**2 - 3*h - 4 + 3 + 4*h**2 + 0. Let y be d(-1). Suppose 12*p - 17*p + 5 = 0. Solve -y + p = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -49*m - 691. Let p be o(-14). Put p, 68, 4, 0 in descending order.\nAnswer: 68, 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10000000 - -1?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1645 (base 11) in base 15?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - t - 5*x = 1, 2*t + 2 = -4*x. Let z = t - -1. Let u = -0.1 - 3.9. Which is the closest to 2? (a) u (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - 1. Let h(v) = -v + 1. Suppose -5*f = -4*q - 2, 2*q + 19 = -5*f - q. Let s(k) be the second derivative of k**4\/12 - 38*k. Calculate d*h(b) + f*s(b).\nAnswer: -2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 366 + -362. Suppose -4*s - 23 = -0*q - 3*q, q = -4*s - 3. Let g = d + s. Solve g*i + 7 = -5*f, -i - i = -5*f - 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2726546 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2069 = 5*z + t, 9*z - 5*t - 433 = 10*z. Let l = -230 - z. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16977\/(-5659)*(1 + (2\/(-6))\/((-3)\/(-12)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -386 - -392. Solve m = -2*m + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from nnqqqqqq?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 4*b + 64 = 0, p - 3*b + 4 - 8 = 0. Calculate the highest common divisor of 32 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 divided by -330.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 16787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 12 (b) 7840 (c) -11\/9 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -380.159 - -4.8.\nAnswer: -375.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j - 3*j - 6 + 4*j. Suppose 2*n + 0*d + d + 25 = 0, 0 = -3*n + d - 25. Let r be v(n). Solve r*p + p + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 387, 0, -8, 21 in descending order.\nAnswer: 387, 21, 6, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 381126 = -15*j + 18*j, 4*j = 2*z + 508182. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -239, -479, -719, -959, -1199?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 28*k + 5. Let z(l) = -323*l - 57. Let u(c) = -57*o(c) - 5*z(c). Let b(h) = 132*h. Calculate u(b(n)).\nAnswer: 2508*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 + -1)*(-2)\/(-8). Let s = -452 + 2287\/5. Let o = s - 103\/20. Which is the nearest to f? (a) -2\/9 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3238146 and 99.\nAnswer: 35619606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 31*h**4 - 29*h**4 + 2*h**2 - 9*h**3 - 4 in the form y*h**3 + r*h + z*h**2 + j + a*h**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2691 - -2693. Let q(o) = -o**3 - 2*o**2 + o + 2. Let j(i) = 3*i**3 + 7*i**2 - 4*i - 7. Give k*j(w) + 7*q(w).\nAnswer: -w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80 - -57 - -15 - 31.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 483*w + 330 = 478*w. Let t be 71 - (3 + 1 - 1). Let c = t + w. Solve -c*u - 3 = 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1120 - -1134. Suppose 24*s = 21*s + 15. Put a, -3, s, -1 in descending order.\nAnswer: a, s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6312089, -12624190, -18936279, -25248350, -31560397, -37872414, -44184395, -50496334?\n\"Answer: q**3 - 6312108*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5 take away -5.302?\nAnswer: 10.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-1 + 0 + 0)*(2 - 1 - 3) + 0 - 2 + 1)*(-3 - 1 + 2)*(t + t - t) to the form a + s*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 293.3861us in milliseconds?\nAnswer: 0.2933861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppi. What is prob of sequence pii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/5 at least 293.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:40 AM and 7:53 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51795.\nAnswer: 3, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2 + -24858256\nAnswer: -24858254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 5:53 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -147*m + 2495. Determine g(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y = -5*y - 266. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -15204 divided by 21\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(704) + -4 - 3*sqrt(396)*-1)**2.\nAnswer: -208*sqrt(11) + 7452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1010104572 divided by 14854479?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-31)\/(-465))\/(7\/126)*(-12)\/(-18)*-100.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -37070, -36409, -35750, -35093, -34438, -33785, -33134?\n\"Answer: -p**2 + 664*p - 37733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 349200 and 624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 97*k - 399. What is s(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -33*u**2 + 32*u - 49. Let p(w) = 101*w**2 - 86*w + 146. Calculate -3*p(r) - 8*q(r).\nAnswer: -39*r**2 + 2*r - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -29 and -26.2.\nAnswer: 759.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 45 - 36. What is the remainder when 52 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 187405 + 1507*q**2 - 187403 - 45*q**2.\nAnswer: 1462*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 2*u = -66, 2*p + u - 3*u - 18 = 0. Let g(k) = 3*k + 2. What is the smallest common multiple of p and g(3)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20 and 8990060.\nAnswer: 8990060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - -2. Suppose -j*x = -6*x + 16. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*z + 165 = -46 + 103 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21250489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p\/(p*p**6*p))\/p)\/p**2)\/(p\/(p*p*p*p*p*(p\/(p\/p**(-1))*p)\/p*p*p*p))**(5\/2) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7793059.5 microseconds in hours?\nAnswer: 0.00216473875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1038 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from {z: 9, y: 2, w: 6, e: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-1 + sqrt(242) + 1 + 2 + 2*sqrt(242) + (sqrt(18) + -4 + 2*(sqrt(2) + 0))*-6)**2.\nAnswer: 156*sqrt(2) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 2*z + 4 + 3, 11 = y - 4*z. Suppose 0 = 3*q + 5*g + 1 + y, q = -2*g - 2. Let n = 3 + q. Solve 0*k + 11 = -2*i - 5*k, 3*k = n*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 3*w. Let c be (4\/8 - 4) + -2 + 11. Let m(q) be the first derivative of -c*q**2 + 8 + 0*q. What is m(s(a))?\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.7412772 hours?\nAnswer: 2668597.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 c, and 1 v when three letters picked without replacement from ccscddvldcl?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 17d326 (base 14) in base 9?\nAnswer: 1524370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 + -12. Let y be 20\/a*72\/(-30). Calculate the remainder when 27 is divided by ((-21)\/(-12))\/(1\/y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37 = -713*g + 723*g - 157 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -637*z**3 + 12 + 3548*z**3 - 12.\nAnswer: 2911*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*s**4 - 16971*s**3 - 6002430*s**2 - 1499547*s.\nAnswer: -3*s*(s + 707)**2*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 + (-3549)\/2)*(-1 + 11). Is b*(56\/20 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10001 + -1011101?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 470559 and 15407313.\nAnswer: 4659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 15682234 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 0.764.\nAnswer: 0.1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-1*sqrt(726) - (sqrt(72)\/sqrt(2))\/sqrt(6)))\/((-1*sqrt(384))\/(sqrt(2) + sqrt(18)\/sqrt(225) + sqrt(2))).\nAnswer: -33*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 6*l**3 - 22*l**2 - 10*l. Let x(w) = 18*w**3 - 66*w**2 - 28*w. Calculate 17*j(s) - 6*x(s).\nAnswer: -6*s**3 + 22*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 4*c**2 - 3*c + c**2 + 2 - 4*c**2. Let h(v) = -v**2. Suppose r - 3*r + 6 = 0. Let m(i) = r*h(i) + p(i). Calculate m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*u - 3*u = -1024. Let y = -58 - u. Is 6 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 12198972719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*v - 3*p + 17 + 2, -2*p + 2 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -4, m = 4*f - 8 + 1. Let g(i) = -3*i**2 + 3*i + i**3 - 4 + f + 0*i**2. Let z be g(5). Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (77 - 13*n - 77)*(-4 + 5 - 3)*(-253*n + 231*n + 219*n + 1).\nAnswer: 5122*n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 218506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/1114113 and 155\/62328.\nAnswer: 8912904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9620812 is divided by 801734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 8:22 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7714042?\nAnswer: 2, 7, 551003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-164)\/((-2)\/(-8)*-8). Suppose -2*j = -p - 66, 2*j - 8 = 6*j. Let t = p + k. Solve -24 = -4*m - 0*m - 3*l, 3*l - t = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 601*o**2. Let j(r) = 1236*r + 3. What is j(s(n))?\nAnswer: 742836*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 5*q**2 - 64*q - 22. Let c be t(11). Solve 11*j + 15 + 18 = c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1233884 divided by -4\nAnswer: -308471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 10*q - 13*q + 28, 0 = 5*q - 2*h - 48. What is the smallest common multiple of 220 and q?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18492\/589 - 1032\/31. Is s >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.08 + -0.32. What is the second biggest value in -1\/2, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 216*h**2 - 1511*h - 94. Give r(7).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*q + 1 - 2 + 0*q - 5*q.\nAnswer: 22*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.26 minus 4197506765?\nAnswer: -4197506764.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 1362*l + 888. What is s(-1)?\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 21 + 4 + 26 - 24*z**3 wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -280 + 307 - ((-1 - 1) + 13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -2*f - 26. Let p(j) = -5*j - 91. Let y(b) = -2*p(b) + 7*r(b). Let g(s) = -158*s + 3. What is g(y(i))?\nAnswer: 632*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15*(57\/494)\/((-45)\/(-20))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 46*h**5 - 1053*h**3 + 1053*h**3 + (0*h**3 + 4*h**4 + 0*h**3 + (3*h**3 - 5*h**3 + h**3)*(-6*h + 0*h + h))*(4 - 3*h - 4).\nAnswer: 19*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -26684*j**3*s**4 + 48*j**3*s + 2*j**2*s + 22*j*s wrt s?\nAnswer: -320208*j**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, -3\/2, -4, -2\/31, 0.1, -14\/3, -28?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1, -1.5, 1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 58407030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -10*f**3 - 6*f + 6. Suppose 2*t - 30 = -3*t. Suppose 3*m + 38*s - 15 = 35*s, 0 = -5*m + 4*s - 11. Let a(u) = u - 1. Give m*r(n) + t*a(n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -6\/13, -0.2, -6\/7, 5 in increasing order.\nAnswer: -6\/7, -6\/13, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -457, -905, -1353, -1801?\n\"Answer: -448*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 7*u + 94. Let s be -1 + 0 + -14 - (-3 - -1). Let a be d(s). Solve 5*x - 2*l = 25, a*x + 34 = 6*x - 5*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 1400*c. Let x(j) = 127*j. What is 3*i(y) - 32*x(y)?\nAnswer: 136*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -223478 = -5*v - 36*v - 40085. Does 63 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-480)\/(-18))\/20*6\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 334395 and 15120?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ckjd when four letters picked without replacement from {c: 1, j: 1, k: 2, d: 2, g: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -12324985 or -36974959\/3?\nAnswer: -12324985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 120\/(-16)*18*6\/648?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:27 AM and 3:28 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (7*p - 17*p + 7*p)*(168 + 98 - 140) in the form y + s*p and give s.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - -6)*(15 + -14)*2. Let z(g) = -g**3 + 13*g**2 + 16*g - 17. Let y be z(p). Solve y*n - 4 = 12*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 327870 (base 9) to base 4.\nAnswer: 233313303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6 + -464?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2856206192 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12120, -23200, -33236, -42222, -50152?\nAnswer: -57020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*a - 3*a**2 - 7*a)*(a + 2*a - 5*a)*(-7*a**2 + 2*a**2 + 13*a**2).\nAnswer: 48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/122 (b) -0.8 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 3234474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 625984 is divided by 138?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 30 (b) -0.079 (c) -0.01 (d) 2\/15 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 9104687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -122 and -122 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -300078\/299 greater than or equal to -1003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 - 3*v + 2. Let s be i(-4). Let q be (2\/(-5))\/(s\/10). Determine n so that -1\/4 - n - 3\/2*n**q - n**3 - 1\/4*n**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*j = 26*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 286*t + 283*t - 568*t + 19. Calculate g(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6684163 is divided by 3419?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t\/((t*t*t*t**(-21\/5)*t)\/t)*t)\/t**7*(t**(1\/19)\/t)\/t**1 assuming t is positive.\nAnswer: t**(-451\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -3*j + 6, -3*j - 3*m + 3 = -3. Suppose 2*f + 3*h + 38009 = 0, 0 = -f - j*h - 2*h - 19012. What is f rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 458479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -109770 to the nearest one thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 348 + -3 + (-28)\/(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.74553 to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1346 and 53259874.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -163 - 2237 = 150*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/x**(-3\/2))\/(x\/(x**(-1\/6)*x)*x))\/(x*x**(1\/4)*x*x**(-5\/6))*(x**3\/x)\/x**(-1\/2)*(x\/(x**8\/x))\/x**(-2\/15) assuming x is positive.\nAnswer: x**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**3 - 6*o**2 - 6*o - 7. Let j be n(-6). Suppose 36*x - 13573 = j*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 12:14 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 + (-2)\/(2\/(-3)). Suppose j + 3*j + 33 = -b*a, 48 = -5*a + j. Which is greater: -11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.14, 4\/3, 1, -5, 5 in descending order.\nAnswer: 5, 4\/3, 1, -0.14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 69675 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/30 + 56\/(-140). What is the closest to 6 in 3, q, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of w**4\/4 - 72*w. Let y(q) = 39*q**2. Give y(x(n)).\nAnswer: 351*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 860 + 250 = -111*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(125) + -5 + sqrt(5))*1.\nAnswer: -5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1909, 2125, 2343, 2563, 2785?\nAnswer: 3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 10 - (9 - (-25 - -69))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 PM and 2:44 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 16840 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 126.5598533 and 5?\nAnswer: 632.7992665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + h = 52, -149 = -2*p + 2*h - 133 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is y in 4*y**4 + 4603528*y**3 - 4603564*y**2 - 36828208*y + 55242384 = 0?\nAnswer: -1150883, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, u: 3, s: 1}. What is prob of picking 1 s and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*w = -13*w - 285. Suppose -w*c - 642 = -98*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(54)*2 + (sqrt(36)\/sqrt(2))\/sqrt(3))*6)\/((-2*sqrt(363) - sqrt(363) - sqrt(363))*-5 + (-6*1*sqrt(363) - sqrt(363))).\nAnswer: 42*sqrt(2)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 34 - 30. Suppose r*f - 40 = -0*f. What is the derivative of -1 - 2*l + f - 5*l wrt l?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -4*q + 5209, -q - 2*s + 1437 = 151. Determine j, given that 939*j**2 + q + 5376*j + 1869*j**3 + 752 - 497*j**3 + 3765*j**2 = 0.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 - 3*u. Let d be k(4). Suppose -d*t = -0*t + 12. Let g be 9\/2*(-2)\/t. What is the highest common divisor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 1\/4*m**4 + 1\/4*m**3 - 1\/4*m - 1\/4*m**2.\nAnswer: m*(m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + 29. What is the remainder when o is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 11, 2\/19, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by -129.\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36\/(297\/44*(-4)\/18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (w**5 - 3*w**5 - w**5)*(-7 + 2 + 2).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (19 + -62 - 3) + 12.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 660464351 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7434*c*p**4 - 2*c*p - 354*c*y + c + 77329*p**4*y + 7*p**2*y - 3*p**2 - 2*p*y wrt p.\nAnswer: 178416*c*p + 1855896*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-492)\/15)\/((-6)\/(-15)). Let t = v - -91. Solve -u = 2*b + 2*u + t, 5*u = 4*b - 37 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10 + -14. Let r = -0.21 + -9.79. Put 0.2, r, q, 0.5 in increasing order.\nAnswer: r, q, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o - 2. Let x(h) = 3*h - 8. Let i(d) = -6*b(d) + x(d). Let q(m) = -3*m + 3. Calculate -2*i(s) + 3*q(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 50486836007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 20052677 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/(-1)*(0 + -4). Let b be (6\/k)\/(6\/(-136)). Suppose -3*q = -5*i - b, -4*i = -2*q - 2*i + 24. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1044414341 to the nearest integer?\nAnswer: 32317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9332595 is divided by 654.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*x = 8*x + 240. Solve 1 = -5*v + u, -5*u = 3*v - 2*v - x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t - 4. Let m be j(3). Find the second derivative of 0*q**m + 2*q**2 - 3*q - 4*q**2 - q**2 wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-36969)\/81468 + 1\/2. Let i = -7\/372 + c. Let g = -152\/219 + i. Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4697 + 436817\/93. Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 4. Let i(n) = n**3 - 3*n**2 + 2*n + 1. Let j be i(g). Suppose j = 5*f - 3. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/26795572 and -41\/53204?\nAnswer: 1259391884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1944239 = -106*i - 81*i. What are the prime factors of i?\nAnswer: 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z + z + 7*z + 2*z + z - 4*z + (-1 - 3 + 3)*(4 + z - 4))*(z - 2 + 2)*(49*z + 11*z + 38*z).\nAnswer: 392*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j + 4, j = 9*n - 4*n + 47. Does -12 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -ca3 (base 14) to base 11\nAnswer: -1969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, d: 3, j: 2, u: 4, c: 1, z: 1}. What is prob of picking 1 c and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 - 418*o**2 + 12.\nAnswer: -418*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -252545414 to the nearest one million.\nAnswer: -253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 274150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 22, 32, 42, 46, 38, 12, -38, -118?\n\"Answer: -g**3 + 6*g**2 - g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 12, -14, -40, -66?\n\"Answer: -26*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -208282.\nAnswer: -1\/104141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1460 and 22?\nAnswer: 16060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 3*y - 3. Let r be -2 + 3 + 1 + 0. Suppose 5*v - 18 = 2*v. Calculate the least common multiple of t(r) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -81 + -15 + (11 - (-9 - -9))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1633 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -158550 divided by 3\nAnswer: -52850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -66 + 64.9. Suppose -23*u + 17*u + 18 = 0. Which is the closest to m? (a) -0.1 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/8)\/((-4)\/8). Let v = 3.57 - -0.23. Let t = 0.2 + v. Sort k, 2\/11, t in decreasing order.\nAnswer: t, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 3*h. Let g(n) be the second derivative of n**3\/6 + 6*n. Let a(l) = 3*l. Let b(v) = -a(v) + 5*g(v). What is b(t(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 8*u**2 + 11*u - 12. Let l be x(9). Let r(v) = v - 1. Let q be r(l). Let i = q - -1. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, b: 7}. What is prob of sequence bbb?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + f = 8, f - 2*f - 4 = -3*q. Suppose -10*m + 0*m = 0. Put 1, m, q in decreasing order.\nAnswer: q, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 208 = 40926*r - 40930*r - 8*w, 2*r = -3*w - 101 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*l**2 + 1500*l*n - 2*n - 1249 wrt l?\nAnswer: 4*l + 1500*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of -s**4\/12 + 2*s**2 + 14. Let z(f) = f**2. What is n(z(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -243685*h - 19*h**3 + 6*h**3 + 243803*h to the form r*h + f*h**2 + j + w*h**3 and give r.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1c0a59 (base 16) in base 2?\nAnswer: 111000000101001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -38 - -43. Which is the nearest to r? (a) 0.4 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 6, k: 4}. Give prob of picking 1 k and 1 r.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that t**4\/8 + t**3\/8 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 24423514 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 + 18*k**2 + 28*k - 139. Determine u(-16).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2511b (base 13) to base 14\nAnswer: -1ac68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 540\/(-3402)*(-63)\/35\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 5 - -8 - 3 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -457364100 rounded to the nearest 1000000?\nAnswer: -457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -95*z - 7. Let c(o) = 7*o + 2. What is 3*c(h) + r(h)?\nAnswer: -74*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1590 and 848?\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5150 = -26*i + 934. Suppose -249*r = -i*r - 720. Calculate the highest common factor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v + 4*v - 100. Calculate the least common multiple of v and (2\/(-8)*1)\/(45\/(-360)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -x - 4. Let r be (-1)\/x - 1\/(-2). Let l(i) = 35*i + 19. Let n(p) = 79*p + 41. Let b(g) = 9*l(g) - 4*n(g). What is b(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40 - (26 + -47) - (-11 + 1 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 663 = -645. Solve -2*m - g*o = 1, -3*o + 14 = -5*m + 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20055 - -36516. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/2*(-25)\/25.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -157\/4 (c) -21 (d) 0 (e) -3\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 40, -1\/5, 29627 in decreasing order.\nAnswer: 29627, 40, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 5*y**3 - 85*y**2 + 150*y = 0.\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -10038*c = -8276*c - 22906 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*d - 42. Suppose -3*l + d = 2*m + 3*m, -4*m = -8. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -7*k. Let u(t) = 3*t - 4*t - 2*t + 4*t. Give d(u(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/(2*1\/(-2)). Suppose r*o - 35 = 1. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-8) - (-15)\/12. Let h be o*3*(-1 + 2). Suppose -2*u - 38 = -3*v + v, h*u = -4*v + 41. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 254481 or 254499?\nAnswer: 254499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 65, 9, -7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -2\/3, 0.4, -1\/3 in ascending order.\nAnswer: -2\/3, -1\/3, 0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n*n*n**(-2\/7))*n)\/(n\/n**(-6)))\/((n**(4\/5)*n*n)\/(n\/n**(2\/17)))*(n**3*n*n*n*n\/n**(5\/3)*n)\/(n\/(n**(-1\/6)*n)*n**(-1)) assuming n is positive.\nAnswer: n**(-5231\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 3*n**3 + 88*n**2 - 329*n - 2334. Let u be s(-32). Factor 3*p + 1\/8*p**u + 18.\nAnswer: (p + 12)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -227.0431758 to 0 dps.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -3*i**3 - i**2 - 2. Let l be d(2). What is the units digit of (-215)\/l + 1\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5818 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 21 = n. Sort 68, -2, n, 3 in decreasing order.\nAnswer: 68, n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*o**2\/4 - 81*o\/8 + 39\/8 = 0. What is o?\nAnswer: 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -18073a (base 14) to base 16.\nAnswer: -ceaf0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2387*k**2. Let d(r) = -3*r. What is d(y(z))?\nAnswer: 7161*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-28)\/(-84)*(-27)\/(-12). Suppose i**2 + 0*i + 2*i**3 + 0 - 9\/4*i**5 - z*i**4 = 0. What is i?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence al when two letters picked without replacement from {a: 3, r: 1, g: 4, l: 5}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 43705437701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-2\/7)*b)**36\/(b**(6\/7)*b*b**(5\/3)*b) assuming b is positive.\nAnswer: b**(1201\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 18973819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 470, 499, 520, 521, 490, 415?\n\"Answer: -2*q**3 + 8*q**2 + 19*q + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in 40, -141, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*s - 0. Suppose 5*x - s*n + 53 = 0, 1 = 5*n - 9. Let d(y) = -3*y - 3. Calculate the remainder when d(x) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -i - 3 - 7, 5*i = -5*p - 10. Let w = 10186\/7 + -407181\/280. Let b = -9\/8 + w. What is the biggest value in b, 4\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -2*o**2\/13 + 150338928*o\/13 - 2825224159023648\/13 = 0.\nAnswer: 37584732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -56 - 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 446337 is divided by 1807.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.56 + 0.36. What is the nearest to 0 in 2, -2\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 1 + 4 - 6*k**2 + 17*k - 28. Let x(m) = m**2 - 8*m + 9. Let c(s) = s**2 - 7*s + 8. Let r(u) = -5*c(u) + 4*x(u). Give -6*a(b) + 34*r(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmmmffm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11\/3? (a) -1 (b) 0.1 (c) -4\/7 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 + 17. Suppose 0 = k + 4, -3*a + 4*k = 3*k + 59. Let n = 34 + a. Calculate the remainder when n is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1358945145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 133811931 and 804.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4.6, -1\/5, -2\/3, 0.08?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -14.0503 rounded to 1 dp?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -3*k - 14. Let n be i(-10). Suppose s + l = 21, 4*s - 66 - n = -3*l. Let z = s - -6. What is the remainder when 74 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -23 divided by -115\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1423559, -5694829, -12813613, -22779911, -35593723, -51255049, -69763889?\nAnswer: -91120243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/192 and -145\/1021224.\nAnswer: 8169792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**3 - 4*h**2 - 7*h + 2. Let x be s(5). Is -8 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in 0.19, -2\/19, 2\/17, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**2 + 82 - 51*x**3 - 82.\nAnswer: -51*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -477.000331 - -477. Round d to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*x + 321 - 310 + x)*(x + x**2 - x) + x**3 - x + x in the form b*x + j*x**2 + u*x**3 + n and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-16)\/(-40) - (-12)\/(-5). Let h(b) = 14*b - 1. Let j be h(2). Suppose 2*l - 3*l = 3*p - 11, -3*p = -3*l - j. Sort p, d, 3 in descending order.\nAnswer: p, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 327 divided by 1071\nAnswer: 109\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 631*f - 154 + 39 - 26*f**3 - 256*f - 375*f in the form k + c*f**2 + m*f + a*f**3 and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 26 = -0*j. Let g = -8 + j. Suppose 3 = 2*i - g*k - 10, 8 = -2*i - 2*k. Is -3 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -3*w**2 - 10*w - 6. Suppose -13*c - 10 = -14*c - 4*a, -3*a + 33 = 5*c. Let y(v) = -5*v**2 - 21*v - 13. Give c*y(d) - 13*m(d).\nAnswer: 9*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 15*q**2 + 359*q + 948. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-8) - 2021\/(-376). What is the smallest value in w, 0.3, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**2 - 2*k. Let r be l(-3). Let s = -11 + r. Suppose -s*c + c + 421 = 4*f, -5*c - 2*f = -711. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 83 - 46. Suppose c = 6*o - 11. Suppose -6*j + 10 + o = 0. Solve 2*z - 20 = -j*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 986 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 + 4)*(2*l - 2 + 2) + 274*l + 580*l - 150*l.\nAnswer: 710*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1222559 is divided by 1727.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 64290 + 15435 = 1711*z - 4114 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000073638 rounded to six dps?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v**4 - 130930*v**3 - 857133245*v**2 = 0 for v.\nAnswer: -13093, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 825945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 721 - 488. Suppose -29 = 4*h - t. Suppose -h = -4*u + 9. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -14216 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 198262.6 decades?\nAnswer: 19826.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 2:37 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -121 + 15 = 2*g. Let j = g + 55. Is -86*(45\/(-14) - j\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91725907.\nAnswer: 7, 13, 1007977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6949.1 - 6591. Round i to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwv when three letters picked without replacement from {w: 2, v: 2, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -38 - -60. Calculate the greatest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -18314, -18384, -18454, -18524, -18594, -18664?\n\"Answer: -70*q - 18244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 431 is divided by 77.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 86 + -50. Suppose -8*b + 124 = 20. Suppose 3*d + 3*f = z, -15 - b = -2*d + 2*f. Is d 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 45588?\nAnswer: 2, 3, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f - 15. Suppose 6 = 2*q + 4. Let k(s) = -3*s + q + 2*s + 1 + 6. Calculate 6*a(v) + 11*k(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 + 9*k**2 + 61*k - 5. Calculate f(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 160\/3 + -54. What is the nearest to s in 2\/5, 2\/19, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 AM and 7:44 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/15 in 2\/5, -6, 33?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/(-20)*(-1 + -4). Suppose 72 = l*d + 2*d. Let t be (-1)\/(-2) - (-6)\/4. Calculate the greatest common divisor of t and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105 = n - 2*w, -w = n - 6*n + 516. Let r = 101 - n. Is r - -2 - (-4 + 25*-37) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -278*o + 275*o + 3494 = -5*m, 3*o = m + 3514. Calculate the greatest common factor of 51 and o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 39818511 or 39818504?\nAnswer: 39818511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 = -83*j - 33 - 325 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 33252 or 33253?\nAnswer: 33253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 236, 1027, 2376, 4283, 6748, 9771?\n\"Answer: 279*f**2 - 46*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 22*x + 130. Let p be l(-6). Let g be ((-77)\/22)\/((5\/p)\/(-5)). Let t(k) = -4*k**3 + 1. Let b(n) = -9*n**3 + 3. Calculate g*t(y) + 3*b(y).\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 + -6. Let l be (1 + 3 + 3 - 1)*2. What is the least common multiple of q and 5 + (-20)\/(l\/(-3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5.1988 - 983.6412. Let p = b - -989. Is 0.1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 254*o**3 - 511*o**3 + 259*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 p, and 1 k when three letters picked without replacement from vvovppppspvvpk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -243594 <= -243598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 2*d + 32, -3*d = -5*u + 1449 - 1398. Let m(h) = h**2 + h. Let t(l) = -2*l - 9*l**2 + 2*l - 7*l + l. Determine u*m(r) + t(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (159\/(-2438))\/((-3)\/(-4)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 249 = 2*l - 274, -2*l = 5*k - 533. Let s = l - 264. Solve -3*v - 2*y + 21 - 8 = s, -v = y - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the second derivative of f**4\/12 - 773*f**2\/2 + 838*f. Let j(r) = 3*r. Determine u(j(k)).\nAnswer: 9*k**2 - 773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, r: 4}. Give prob of sequence rrrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4126*b**2 + 6819*b**2 - 7706*b**2 - 5*b**4 + 156*b**5 wrt b.\nAnswer: 9360*b**2 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4, 7, -2\/7, -1, -3, -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (0*m - 5*m + 4*m)*(-1 + 130*m - 58*m - 1)*(-3 - 4 + 5) in the form f*m**2 + t*m + u and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 264.3 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 705547 and 56461.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 70\/(-990) + 148\/814?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 - -5)*(5\/1)\/10. Let a(n) be the second derivative of n**3 - 1\/12*n**h - n**2 + 0 - 3*n. Calculate a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 187806711773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*u + 12*u + 10*j = 620, 2*u = -4*j + 662. Calculate the remainder when u is divided by 245.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -134*v. Let n(i) be the third derivative of -2 + 0*i**3 + 1\/60*i**5 + 4*i**2 + 0*i + 0*i**4. Calculate n(c(a)).\nAnswer: 17956*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-37 - -38) + 7\/(-35)*-10. Let l = 1240\/21 + -59. Which is the fourth biggest value? (a) 3\/4 (b) -5 (c) l (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -75\/3206992 and 115\/5612236.\nAnswer: 22448944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.13 plus 448857765?\nAnswer: 448857764.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*b = -13*b + 660. Suppose -4*g = -8*x + 3*x - 10, 3*g + 5*x = 25. Suppose -r - g = -b. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(294))\/sqrt(6))\/((sqrt(7) - sqrt(175))*-2) + -1.\nAnswer: -1 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 8*j + 226. What is f(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (1017*y + 16*y**3 - 1017*y)*(0*y - 2*y + 6*y)*(-3 + 2 + 0).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 53598.4 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 253606 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 + -14.7. Let t = 1.3 - o. What is the second smallest value in 0.5, t, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffx when three letters picked without replacement from cgtfx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) 1\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the first derivative of 8*w**5\/5 - 5*w**4 - 8*w**3 + 40*w**2 - 32*w + 70. Factor o(y).\nAnswer: 4*(y - 2)**2*(y + 2)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 + 10. Let l = y + -27. Let p be (-15)\/6*24\/l. Which is bigger: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11.9 + -1.9. Let p = 9.8 - c. Let z = 5.13 - 0.13. Is z less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*t**4 - 5 + 6*t**4 - 32*t**6 + 2*t**2 - 2*t**4 + 19*t**6 wrt t.\nAnswer: -1560*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -301, -583, -867, -1153, -1441, -1731, -2023?\n\"Answer: -s**2 - 279*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 15 = 4*x, 3*x = -0*x + 2*o + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xbb. What is prob of picking 2 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 + 9*a**2 + 10*a + 9. What are the prime factors of l(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47871 - -0.095922452?\nAnswer: 47871.095922452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -32*v + 33. Let f(t) = 37*t - 32. Determine 6*f(n) + 7*z(n).\nAnswer: -2*n + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 8251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5689*c**2 + 2 + 3 + c - 5 + 5696*c**2.\nAnswer: 7*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1023 + -31?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.02 + 1.98. Let h = 0.125 + -0.225. What is the nearest to n in h, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 5*p - 3. Suppose 0 = -4*w + 5*u + 32, -2*u + 50 - 10 = 5*w. Let q be s(w). Let o = -23 + q. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -5*sqrt(288)*-5*-1)**2 + (4 + (sqrt(288) - (sqrt(288) + -4 + 1)) + -4)**2.\nAnswer: -2400*sqrt(2) + 180025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 30059844 divided by -3\nAnswer: -10019948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 28*h - 44150. Let b(g) = -2*g - 26. What is b(j(k))?\nAnswer: -56*k + 88274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from llllrllhallllalolro.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 0.3, 1.4, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -31\/3 - -91\/9. Let k = -32.7 + 30.2. Which is the closest to 1\/2? (a) k (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -19459, -19458, -19457, -19456?\n\"Answer: n - 19460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17104156*a**5 + 10*a**2 - 2*a + 3146 wrt a?\nAnswer: -1026249360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 104 + -102. Let h(p) = p**2 - p**i - 1 + p**2 + 0*p**2 - p. Let j(f) = 5*f**2 - 9*f - 6. Let c(a) = -6*h(a) + j(a). Factor c(y).\nAnswer: -y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -422 - ab?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2279221 to 4 decimal places.\nAnswer: -0.2279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3757 - 2562. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.3 + -0.7. Let u = -7.8 + 7.904. Let m = u + 0.096. Put h, m, 2\/3 in ascending order.\nAnswer: h, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 greater than 2621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 702743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3921 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 4 = -2*s. Suppose -2*i + s = -0. Let c be 7\/(-2) + (-1)\/2. Sort i, 3, c in decreasing order.\nAnswer: 3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.81 - 0.57. Round m to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 38879\/6328 + -1\/904. Calculate the common denominator of g and -10\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, t: 5, r: 1, s: 3}. What is prob of picking 1 r and 1 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of -10*l**5 + 10*l**4 - 8*l**3\/3 - 4. Factor d(q).\nAnswer: -2*q**2*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1309, -1205, -1101, -997, -893?\n\"Answer: 104*h - 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 4)*(-5*c**3 + 5*c**3 + 6*c**4) - c**3 - c**4 + c**3 + (-2*c**3 - 2*c**2 + 2*c**2)*(2*c - 2 + 2) - c**4 + 0*c**4 + 0*c**4 - 6*c - 2*c**4 + 6*c.\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the third derivative of f**5\/40 + 7*f**4\/24 - 52*f**3\/3 + 5*f**2 + 17*f. Let z(p) be the first derivative of c(p). Give z(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6141287?\nAnswer: 67, 71, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-1)*1\/(-1)*(-1)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and -0.38.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = 14*r - 42. Suppose 3*i + 9 + 3 = r, -4*f + i = -844. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1, 16, 47, 92, 151, 224, 311?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 32 - 29 = 4*j - j, 0 = -v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 19811*d**4 - 99*d**3 - 35*d**2 - 2*d + 19047.\nAnswer: 475464*d - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 52260 and 2340?\nAnswer: 156780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 4*r. Let d = -7 - r. Let m = d + 56. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 817 is divided by 399?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -4*h + 18. Let c = -9 + h. Suppose 60 = c*n - 235. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence le when two letters picked without replacement from beblli.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18194522, -18194524, -18194526, -18194528, -18194530, -18194532?\nAnswer: -18194534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.209, -7, -2, 12\/23?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 14\/1)\/(28\/42).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -16*t + 1. Let g be k(1). Does 17 divide ((-132)\/g)\/((-4)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 PM and 1:43 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*m**4 - 494*m**3 + 327*m**2 - 1837*m wrt m.\nAnswer: 264*m - 2964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.1 (c) 5\/537 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8\/145 - 181\/9860. Let u = 579\/476 + r. Find x such that 0 - 58\/7*x**4 + 6*x**5 + 0*x + 8\/7*x**3 + u*x**2 = 0.\nAnswer: -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -271 + 127 = -36*y - 180. Which is the nearest to -2? (a) -0.2 (b) y (c) 1.6 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 3*b + 2 = -0*b, 5*t - 23 = -2*b. Let s(m) = m**3 - 6*m**2 + 5*m + 6. Let q be s(t). Let l be (-1 - 1) + 8\/q. Does l = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, m: 5}. Give prob of picking 1 m and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 166 + -663\/4. What is the smallest value in a, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*h - 126 = -35*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*j - 3*v - 137, 4*v + 4 = 8*v. Solve 36*k - j*k = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -335*h + 17144. Determine i(50).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -24.09911 plus 3304195?\nAnswer: 3304170.90089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2938320 and 7364280.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/9 + 22*h**2\/3 + 478*h\/9 - 182\/3.\nAnswer: 2*(h - 1)*(h + 13)*(h + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6671*p - 3308*p - 3365*p + 4.\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 260 = u - 183, -2*u = -4. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:11 AM and 6:57 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/253680 and 11\/2448.\nAnswer: 12937680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1563067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2 - -3)*(0 - (2 - 1)). Let d be (-9)\/(-18)*(1 + t). Which is smaller: 4\/13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30767113, -30767116, -30767119, -30767122?\nAnswer: -30767125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 502881?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 269886 + 254850 = -1333*y + 7134*y - 153981 for y.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (23902\/444 - 54)\/((-22)\/3)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the first derivative of 5*u**4\/4 + 2*u**3 - 3*u**2 - 7*u - 5. Let g(j) = -11*j**3 - 13*j**2 + 13*j + 15. Give -6*g(l) - 13*i(l).\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -1 (b) 2\/5 (c) -0.04 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 4, m: 3}. Give prob of sequence lm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 - 5. Suppose 0*l + t*l = -10. Is 21 - -1 - 2\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4596 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(104)\/sqrt(4))\/(-2*sqrt(200) - sqrt(200)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 + (-1)\/(3\/(-132)). Let n = f - 1. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(15\/(-20)) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -215260000 to the nearest 1000000.\nAnswer: -215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 134*(-82)\/8241*((-45)\/(-2))\/3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.158 + -0.158. Let f = 0.7 + -0.73. Let h = 0 - 1. Which is the smallest value? (a) w (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 - 11*p**2 + 11*p - 35. Let m be l(-21). Suppose 10*t = 18*t - m. Does 37 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 12 = -f. Suppose 16 = 4*h + f*r, -h + 3 = 3*r + 1. Suppose -4*k - 2*o = -39 - 49, -5*k + 80 = -h*o. Which is greater: k or 19?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 256 - 256. Let k(c) be the third derivative of 0 + 1\/10*c**5 + w*c**4 - 4*c**2 + 0*c - 2\/3*c**3. Differentiate k(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8\/(-24)*(-6)\/(-8). What is the third smallest value in 2, -4, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -6*g. Suppose 13*l - 10*l = g. Suppose l = n + 2*x + 6, 5*n = x + 18 + 7. Solve 4*m + 0*m - n = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 37\/4 + -9. Put s, 2\/5, -5 in descending order.\nAnswer: 2\/5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -m + 71. What is the remainder when m is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22 + 5 + -47 - -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/2 at least as big as 29006464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 - -11. Suppose g*b = b + 15. Suppose -3*d - 63 = -b*u, -3*d - 3 = -0. Calculate the remainder when 34 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/75605 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*o + 0*o - 44358 - 5*o.\nAnswer: 2*o - 44358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 63 + -54. Put n, -5, 3, -2 in ascending order.\nAnswer: -5, -2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -732.7 - -733. Which is the biggest value? (a) -33\/7 (b) 1 (c) -0.3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 g, and 1 z when three letters picked without replacement from {l: 1, v: 2, f: 1, g: 2, h: 2, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 140542374 divided by 73?\nAnswer: 1925238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 55814 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2*(-15)\/6 + 0. Let c(g) = -g**2 + g + 1. Let b(a) = 4*a**2 - 8*a. Let s(n) = -b(n) - 5*c(n). Give s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -194*b*k**3 - 176*b - 1804467*k**3 wrt b.\nAnswer: -194*k**3 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1 - 325*n + 234369*n**4 + 44*n**5 - 234369*n**4 wrt n.\nAnswer: 880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 47312\/32 + -2*(-3)\/(-12). Suppose 0*j = 3*j + 2*b - t, 4*j = -b + 1974. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 111 + -109. Let x(l) be the first derivative of -v + 3\/2*l**2 - 2*l. What is the first derivative of x(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -125 - -122. What is the biggest value in 3\/4, -0.2, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7.3*-15261.\nAnswer: -111405.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 937.903 centuries to years.\nAnswer: 93790.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 230 - -3?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence arsi when four letters picked without replacement from {s: 3, a: 3, w: 2, i: 1, r: 1, u: 3}?\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -8*i - 23*i - 2*i in the form d*i + f and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 64401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 30 = 2*g. Suppose 23*a - 26*a = -450. Let h = a + -129. Solve 3*n - h = -g*u + 3*u, -5*u + 3*n = 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4926*0.511.\nAnswer: 0.2517186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + -10111101201022?\nAnswer: -10111101201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - p = -8. Solve -4 = 2*k - 5*h, -4*k + 0 = -2*h - p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1456, 1541, 1686, 1891?\nAnswer: 2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 954 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:24 AM and 6:34 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 4*c - 182 = 0, -h - c = -2*h - 172. Let o = h - -891. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from jcjtj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1076*o**3 + 4185*o**2 - 15686525 wrt o?\nAnswer: -3228*o**2 + 8370*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 110173621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 28261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832)*-2 + 5 - (1*sqrt(832) + -5)) + (sqrt(13) + -1 + -1 + sqrt(1573)*2)**2 + 0.\nAnswer: -116*sqrt(13) + 6891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from tjtptttdjtjp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02819126 rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are 5586 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are -22\/22188385 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*f*o - 162184*f*y**3 - 4*o*y**2 - 8*o*y - 51*y**3 - 20*y**2 wrt f.\nAnswer: -2*o - 162184*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*o**4 + 3*o**4 + o**4 + (-1 - 2*o**2 + 1)*(1 - 1 + o**2) to s*o**4 + k*o + q + t*o**2 + l*o**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -25.2, -2, -3.\nAnswer: -25.2, -3, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18584 + -18587. Which is the nearest to 3\/74? (a) -0.3 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5717140 divided by 103948.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -43571907.699967 + 43571886. Let m = 21.7 + d. What is m rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 466303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 3) + 2 + 0 + -7 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6313, 6281, 6235, 6181, 6125, 6073, 6031?\nAnswer: 6005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 + 3.8. Let y = 68 - 63. Suppose 1 = 4*s + y*q - 3, 2*s - 3*q = 2. Which is the third biggest value? (a) r (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.267023g?\nAnswer: 267023000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of -1\/6*d**6 + 0*d**2 + 2\/3*d**3 + 19*d**5 + d - 46 + 0*d**4. What is the third derivative of n(c) wrt c?\nAnswer: -60*c**2 + 2280*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 10 + 26*u**2 - 1082*u**2 - 8 to y*u + o*u**2 + x and give o.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 69 = -17*u, -34*x + 31*x + 5*u + 13 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -39 - -44.3. Let t = d - 0.3. Let w = 4 - t. Which is the closest to 1? (a) -0.5 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + 3 - (0 + 2). Suppose 6 + r = 4*x. Find the first derivative of -v**4 + 3 - x + 3 wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {k: 2, d: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 + -2.95. Let d = -0.05 + s. Are d and -10\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10.534 - 7.534. What is the smallest value in k, -0.3, 1\/7, 170?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -142 + 542 = 5*w. Let i = w + -76. Solve 24 - i = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 4, 0, -20, -3 in increasing order.\nAnswer: -20, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10, 88, 250, 476, 766?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 188 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 12 = 4*b, s - 4 = 2*b - 0. Suppose -n + b*n + 32 = 0. Calculate the remainder when n is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-134*y - 159*y + 54*y)*((y - 3 + 3)*(2 - 2 + 4) + 5 - 2*y - 5).\nAnswer: -478*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(304) + sqrt(304) + (-2*sqrt(304)*4 - sqrt(304)) - (sqrt(76) + -5 + 0))**2.\nAnswer: -300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -535.64128 rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 19*n**2 - 75*n + 25. What is the units digit of m(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that g**4\/4 + 120*g**3 + 35007*g**2\/2 + 753032*g - 24682623\/4 = 0.\nAnswer: -249, -119, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be (590 + -2)\/(2\/17). Let t be -3 + (3 - 2) - l. What is t rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15\/23 not equal to -0.013492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 330256188 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q + 0*q + 3*q)*(-2*q**4 + 0*q**2 + 0*q**2) + (2 - 2 + 2*q**2)*(0*q**3 - 2*q**3 + 0*q**3) + 2*q**5 - 4*q**5 - 4*q**5.\nAnswer: -14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 168*m**3*y**3 - 2*m**3*y + 2*m**3 - 8*m*y**3 - 3*m*y**2 wrt m?\nAnswer: 1008*m*y**3 - 12*m*y + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -52*i - 8. Is 9\/169 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:16 PM and 2:01 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2224 - 2203. Let x = -2 - -17. Let p = x + 108. Calculate the remainder when p is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4119055423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 + 19*c**2 - 229*c + 52. Give j(-28).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 1139938710 = 1139938711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 5:49 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*f - 630 - 808 = 918 - 508 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/15 - 114\/(-10). Suppose -5*l + 3*l + 3*o + u = 0, l + 5*o = 32. Suppose -9 = -13*m + l*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 37*y**2 + 6*y**2 - 38*y**2 + 3*y**3 + 4*y in the form n*y**2 + x*y + l*y**3 + i and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -13287592 divided by -4?\nAnswer: 3321898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-1300)\/(-432) - 3)\/5. Let m(k) be the third derivative of -1\/27*k**3 + 0*k - 1\/36*k**4 - o*k**6 + 9*k**2 - 1\/90*k**5 + 0. Factor m(x).\nAnswer: -2*(x + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4323.9783 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15952346.\nAnswer: 2, 7976173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/110 and 7\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-66)*(-18)\/(-2820)*94?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f = -4*n + 66, 7210*n - 7211*n + 450 = 13*f + 96 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.47*-80\nAnswer: 37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -12631669697 minus -276?\nAnswer: -12631669421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 3832 divide 2604326832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/4)\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-26)\/(-8) - 3)\/(5\/(-160))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -29741 + 43329. Does 209 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*i**2 - 22*i**3 - 4*i**2 + 26*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 855 = 4*f, f - 3*o - 645 = 4*f. Let a be (-1)\/(-1) + 23808\/f. Let v = 554\/5 + a. What is the common denominator of 89\/2 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 6 = -b, -20 = -3*i - 2*i + 5*b. Suppose -31*o = -477 - 267. Suppose -40*p = -52*p + o. Solve 3*l = -l + 20, -i*w + p*l = 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 15063073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 128, 257, 388, 521, 656, 793?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 111213509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 159 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**6\/h*h\/h**(-9))**(12\/7)\/(((h\/(h\/(h*h*h\/(h\/(h\/((h**(-1\/2)\/h)\/h)))*h*h))*h)\/h**0)\/(h**(-5)*h**9*h)) assuming h is positive.\nAnswer: h**(311\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 686*h - 15*h**3 - 1373*h + 687*h + 4 as y*h + r*h**3 + j*h**2 + s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, k: 1, y: 2, j: 2, t: 1, z: 1}. What is prob of sequence zr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/8 - 65\/(-20). Suppose -z = -3*a - 16, u*z - 2*a = 37 + 47. What is the least common multiple of z and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 72\/4165 and -12\/7595.\nAnswer: 129115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/(-3))\/((-5)\/(-210)). Let u be o\/12 - (-4)\/(-6). Suppose u*h - 100 = -h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, -16, -1\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffeorjjjfr. What is prob of picking 1 j and 1 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qz when two letters picked without replacement from iciizmqzsqmzis?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-32)\/(-12)*(-12)\/(-8). What is the closest to -0.3 in m, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of -33*m**2 + 0*m**3 + 0*m + 0 + 77\/12*m**4. Let u(o) = 5*o. Calculate -2*l(r) + 63*u(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 349872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -124*m + 78*m - 1773*m**2 + 46*m.\nAnswer: -1773*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b + h = -155, -5*b - 5*h - 49 = -7*b. What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in 0.3, 3\/4, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 6*u + 67. Determine c(15).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 955 divided by -2.\nAnswer: -955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1605 + 1603 + 5696*v**2 - 5671*v**2.\nAnswer: 25*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -2*u**2\/5 + 2308*u - 3329290 = 0.\nAnswer: 2885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 74*t**2 - 123*t**2 + 47*t**2. Let i(u) = -u**2 - 53. Give p(i(j)).\nAnswer: -2*j**4 - 212*j**2 - 5618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -34\/15 and 101\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18516, -18291, -18066, -17841, -17616, -17391?\nAnswer: -17166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/8 and (6 + 4235\/(-3))\/(-228) + -5 + -1?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (57 + -41 - 33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 53626993 to the nearest integer?\nAnswer: 7323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 834713207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.435 - 9.435. What is the second biggest value in k, 1, 1.16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -259 - -377. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14 - -7) + 11 - 2 - 25?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 22 - 10. What is the remainder when 44 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**3 + 14*s**2 + 14*s + 15. Let u be l(15). Suppose -4*i + 19*i - 195 = u. Solve -2*v = -2*f, -f - 2 = 4*v + i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*u - 32 - 7. Let w(s) = -s**3 - 11*s**2 - s - 7. Let b be w(-11). Suppose 4 = -b*i + 20. Solve 4*k - 2 - 2 = -i*x, u*k + 13 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {p: 1, u: 1, i: 1, j: 1, r: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.03838 or -6394?\nAnswer: -6394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*l**2 - 931515 + 931515.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 7 + 10)*(-3*y**3 - y**2 + y**2) - 31 + 19 + 14 + 6*y**3.\nAnswer: -6*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -646 + 1111. Let w = h + -290. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -16*c**3 + 10*c**2. Let u = -23 + 20. Let z(v) = -5*v**3 + 3*v**2. Suppose 16 = 3*j + 3*b - 26, 16 = 4*b. Determine j*z(y) + u*o(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*(sqrt(605) + 3*sqrt(605)))**2.\nAnswer: 348480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.25 - 0.05. Which is the nearest to 0? (a) -5 (b) -2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 204341 (base 8) to base 10\nAnswer: 67809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + d = 0. Let l(m) be the first derivative of 0*m**3 + 1 + d*m**2 + 2*m + 1\/4*m**4. What is the derivative of l(c) wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, w: 6, j: 4}. What is prob of picking 1 w and 1 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 239687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -3*d - 1. Suppose 0 = -2*y - 0 - 14. Sort d, y, -5 in decreasing order.\nAnswer: d, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 152244600 a multiple of 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 21111042330 + 0?\nAnswer: 21111042330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1 (b) 128 (c) -60 (d) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 18\/15 - (-8649)\/155. Are q and 402\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 4*x = 3*m - 28, 5*x = -3*m + 2. List the prime factors of (4 - 2)\/(2\/m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2578136447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 - 3*k**2 + 3*k**2)*(k**3 + 14 - 8 + 0*k**3).\nAnswer: -k**5 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**3 - 3*p**2 - 3*p - 2. Let f be l(3). Let x = 7 + f. Is 6\/x*(-618)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**4 - 695*h**3 - 16*h - 162. Let m(g) = g**4 + 347*g**3 + 9*g + 81. Let a(z) = -7*m(z) - 4*s(z). What is the second derivative of a(x) wrt x?\nAnswer: -36*x**2 + 2106*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -45*r + 21*r + 23*r. Let u be x(-4). Let g = -384.09 - -384. Which is the biggest value? (a) g (b) 1\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75) - ((sqrt(75)*-3 - sqrt(75))**2 + sqrt(75))) + sqrt(9)\/sqrt(27).\nAnswer: -1200 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a + 2 + 43. Let q = 613 + -616. Put a, 0, q in increasing order.\nAnswer: a, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -26*r**3 + 2*r**2 - 4*r. Let j(v) = -35*v + 2244. Let q be j(64). Let z(p) = -p**3 - p. Determine q*z(o) - a(o).\nAnswer: 22*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggggrrgggrg. Give prob of sequence rggg.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l - 17*l + 36*l - 2*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(-11\/2)*x)\/(x**(-2\/5)*x))**(-6\/11))**(-24) assuming x is positive.\nAnswer: x**(-3672\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 14350 divided by 35\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**3 + 9*v**2 - 17*v + 12. Give n(8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q + 13*q = 10. Suppose -3*f + 10 = -q. Solve -3*v = -13 + 4, -f*d - 3*v = -9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -p**4 - 114284*p**3 - 457124*p**2 - 457120*p = 0.\nAnswer: -114280, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/(-10)*(-320)\/(-24). Let a = q + 30. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + -20112322213?\nAnswer: -20112322222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 1845.39ml to litres.\nAnswer: 1.84539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**2 - 2*o - 3. Let b = -119 + 85. Let u = -27 - b. Let t be a(u). What is t rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 6, w: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 360\/19 - 16\/57. What is the common denominator of -24\/7 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -257 - 43 = -6*w. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -q**5\/6 - 47*q**4\/2 - 2515*q**3\/3 - 2375*q**2\/3 + 1677*q\/2 + 4891\/6 = 0.\nAnswer: -73, -67, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 36523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -295 or -294?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*v + 66*v = -8715. Let c = v + -1245. Solve -4\/3*j**5 + 4\/3*j**3 + 0*j - 4\/3*j**4 + c + 4\/3*j**2 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -5 (b) 147 (c) 98\/17 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 353222, 706441, 1059660, 1412879?\nAnswer: 1766098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 7408, 33690, 77494, 138820, 217668, 314038, 427930?\n\"Answer: 8761*m**2 - m - 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15\/(-24)*-12)\/(180\/840).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q + 3. Let o be p(0). Suppose a + 5*n + 21 = 0, 7*a - 2*a + n = 15. Let i(c) = o*c**2 + 3*c + 3 - 7*c - a*c**2. What is i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2966*v + 35605. Calculate l(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 136, 2\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3520.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 0*r**4 + 2*r**4 + r**4 + (20*r**3 + 190 - 190 + r)*(-3*r - 4*r + r) + 3*r**4 + 2*r**4 - 6*r**4 as m*r + s*r**3 + d + j*r**2 + z*r**4 and give z.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 21 = -2*y + 3*c, -5*y + 3*c = 39. Let b be 24\/90 - (-2)\/y. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**3 - 10*a**2 + 7*a - 17. Does 27 divide y(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4230, -8524, -12818, -17112, -21406, -25700?\nAnswer: -29994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z**3 + z**2 + 7*z + 23. Let r be b(0). Solve 5*v = -4*s + 2, -4*v = -3*s - 2*s + r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -144\/7 + 1324\/63. Let i(k) be the third derivative of 0*k - 1\/9*k**4 + 0 + 1\/90*k**5 + l*k**3 - 3*k**2. Factor i(b).\nAnswer: 2*(b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/6 and 77\/1686.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*q - 120*q + 107*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68*r + 140348 = -126892. List the prime factors of r.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -7*w - 15 + 22*w - 10*w + 26*w**2. Let x be g(6). Suppose -x = -7*c + 4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (14 + -3)*(7 - -11). Suppose 29*y + m = 38*y. Calculate the smallest common multiple of 4 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7)\/14)\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from axeeexexeeaaxgmxm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -21 + 21.02. Let o = 0.98 + k. Which is the smallest value? (a) -1\/4 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 - 6*c**2)*(-2*c - 2*c + 5*c) + 7*c**3 + 18*c**3 - 43*c**3 as o*c + n + s*c**3 + w*c**2 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (v - 2 + 2)*(-1 + 18*v + 2 - 5*v).\nAnswer: 13*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1272 is divided by 195?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 32205 and 3711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are 397 and 11548\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (9\/5 - 1)*(-19)\/38. What is the third biggest value in -4\/7, -0.5, j, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1203, 2803, 4929, 7845, 11815, 17103, 23973, 32689?\n\"Answer: 44*m**3 - m**2 + 1295*m - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.07 - 0. Let u = -0.04 + b. Let v = -0.02999949 + u. Round v to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*f - 145*f = -600624 + 602334 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 13*h**3 - 5356*h**2 + 112*h - 46142. Calculate o(412).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1911942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 788055 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: What is -189200 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 4*d**2. Let v be z(1). Suppose 1086 = -v*c + 5*c. Suppose 5*f - c = 379. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s. Let g(k) be the second derivative of 55 - k**3 + 9*k - 55. Determine f(g(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -7 + (25 - 25 - -3) + 2 + -58?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 138338*f**5\/3 + 2104*f**4 + 24*f**3.\nAnswer: 2*f**3*(263*f + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 + -9. Let y(p) = -p + 11. What is the units digit of y(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f**3 + 7*f**2 + 130*f - 309. Give u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 108 - 86. Solve -v = -4*y + d, -5*d + 0*d = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 1041*f - 443. Let m(w) = -7*w. Calculate p(m(c)).\nAnswer: -7287*c - 443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*i = -4*i - 5*a + 25, -3*i - 10 = -2*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1443*r**2*z**3 - 2*r**2*z - 4*z**2 - 36*z wrt z.\nAnswer: -8658*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 58 = 2*f + 136, f - 107 = -2*x. Let w = 1 + x. Let q(a) = 11*a**2 + a - 1. Calculate the remainder when w is divided by q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (45 - 60) + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 5 = -17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1469 + 1466. Put -14, -2, -1, y in decreasing order.\nAnswer: -1, -2, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 657\/(-135) + (-2)\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 17*z - 10. Let l = 3667 + -3669. Let d(b) = -6*b + 3. Calculate l*p(h) - 7*d(h).\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.34 and -307.7.\nAnswer: 104.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:23 AM and 10:42 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r. Let q(l) = 18*l - 1. Let k(v) = g(v) - q(v). Let a be k(-1). Solve 5*o = 5*y - y - a, -o = 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16154 - 7030. List the prime factors of a.\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence txt when three letters picked without replacement from tmxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.10847 + 0.20847. Which is the closest to y? (a) -112 (b) -9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 374992286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 157*q - 144. Is s(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (112*48\/(-1536))\/(2\/(360\/(-21)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 3 w when four letters picked without replacement from uweweweweeeeeeeuwee.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 3034231, 6068362, 9102493?\n\"Answer: 3034131*g + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 421201 is divided by 271.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*c + 3*c + c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17 - 15. Suppose -l = j, 4*j - c*l = -l + 15. Suppose j*a + 0*k + 5*k - 10 = 0, -a - 3*k - 2 = 0. What is the highest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 120 = 3*k, -6 = 2*v - 5*k - 66. What is the smallest common multiple of v and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8790145 divided by -13?\nAnswer: -676165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2*u - 40. Suppose -7*q - 190 = 3*q. Let y be a(q). Let n(l) = -2*l - 2. Let t(i) = 4*i + 4. Determine y*t(w) - 5*n(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20153 is divided by 8387.\nAnswer: 3379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(-5) + (-46)\/(-10). Let x(m) = 4*m**2 + m + 7 - 2*m**2 + m. Is x(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of x**7\/6 - 41*x**4\/24 + 41*x**2. Find the second derivative of z(n) wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.58 times 0.807581?\nAnswer: 2.08355898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of -3 + 0*q**4 - 2\/5*q**5 + 0*q - q**3 + 0*q**2. Find the third derivative of p(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -94\/5 in 5, 0.2, 0.31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/7, -2\/31, 3\/8, 39, -15.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3773647.\nAnswer: 19, 198613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2427343 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes after 10:57 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, w: 4, d: 2, a: 3}. What is prob of picking 1 a and 2 d?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 5*f - 10 = 0, 12*y - 7*y = 3*f + 18. Let j(w) = w + 4. Calculate j(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 140 = 2*i - 22*l + 192, -2*i = -2*l + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25164213.\nAnswer: 3, 8388071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -62*o**2 + 5*o - 1. Let k(c) = -186*c**2 + 16*c - 4. Let h(n) = 2*k(n) - 7*v(n). Suppose -8 = a - 6. Is h(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 90*b + 570. Calculate a(-17).\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f - 5*f + 4*f)*(-42 + 87 + 3).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.06*0.96737661\nAnswer: 0.0580425966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 90 = -290. What is the derivative of -14 + 14*s - 19 + q wrt s?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 294440 and 148920?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8*7.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 957386889.\nAnswer: 3, 29, 499, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -164504059 + 0?\nAnswer: -164504059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -2 + 47 + 3 + 2 is divided by 89\/7 + 6\/21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-57176)\/36756)\/((-1)\/27).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1425178748 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 19878587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -511 - -513. Suppose -4068 - 628 = -4*t + p*a, 2*a = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-30)\/(-45) - (-7)\/3. Let w be -8 - (12\/(-3) + z). Sort -5, 0, w in increasing order.\nAnswer: w, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/(15\/(-1))*2\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 4825 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhnhhhhnhh?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the second derivative of 1\/2*w**2 - 30*w + 2 - 1\/2*w**3 + 1\/12*w**4. Give u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*z - 11018 + 13696 = 0. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 68\/10 + (-1)\/(-5). Let k = 1065 + -1060. Let t be 16\/6 - (-1)\/3. Solve t*n = -k - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjiijj. Give prob of sequence jjji.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10185 and 9648105?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 43371 and 2379?\nAnswer: 563823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -100110617, -100110615, -100110613, -100110611?\n\"Answer: 2*z - 100110619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, w: 1, m: 1, h: 2, x: 1, d: 1}. Give prob of picking 1 d, 2 h, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4*(-75)\/50*8708\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-11)\/35 - 678\/2373. Sort -67, b, -5, 4\/7 in descending order.\nAnswer: 4\/7, b, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73500.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3 > -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 45 + -46. Suppose -2*y = 4*x + 4, x - 3*y = 5*x + 6. Which is the second smallest value? (a) p (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4130633 + 41454211. Let n = 66423578 - a. Round n to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 3 - 1000806*b - 2 + 1000805*b + 5.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 23 + 6. Let q = a + 57\/2. Let x = -443\/33 + 144\/11. What is the second smallest value in q, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 4*z - 1225 - 36403, 3*z = 2*k - 75236. Suppose 0 = -346*c + 350*c - k. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 3*g + 17*g - 17*g. Let l(v) = -11*v - 1. What is 2*l(z) + 9*o(z)?\nAnswer: 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((1*sqrt(14))\/sqrt(7) + sqrt(22)\/(sqrt(33)\/sqrt(3)) + 1) - (-5 + (sqrt(200) + (sqrt(200) - (3*sqrt(200) + 1)) + sqrt(200))**2)*6.\nAnswer: -8*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 8696419*i**4\/7 + 52178516*i**3\/7 + 104357040*i**2\/7 + 9938768*i + 16\/7 = 0. Calculate i.\nAnswer: -2, -2\/8696419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-55)*(491436\/1533)\/(-204).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19167404 divided by 9583702?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6359632 or 6359629?\nAnswer: 6359632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -26, -4, -7 in decreasing order.\nAnswer: -4, -7, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4067340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1875922*y**4 + 2*y**2 + 2509006*y?\nAnswer: 45022128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (366\/(-10))\/((-6)\/30). Suppose -3*i + d + h = -4*d, 0 = d + 3. Let f = 9 + -1. Calculate the highest common divisor of i and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - ((0 - (-3 + -13)) + -14 - -10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 75712*p**3\/3 - 24544*p**2\/3 + 860*p\/3 - 8\/3.\nAnswer: 4*(7*p - 2)*(52*p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.3204 and 1270.4.\nAnswer: -407.03616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*f = 12*f + 40*f - 170 + 1970 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be -17 - -16 - -6*(-8)\/(-12). Determine t, given that -t**2 - 1\/2*t**p + 0 - 1\/2*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-3)*(-21)\/(-35)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 358 a factor of 63589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is (1 + -3)\/10*-279445 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 5 + 7. Suppose 2*v = -w + 4*v - 62004, -v = i*w + 247998. What is w rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -s + 5*x, 0*s + 5*s - 15 = -4*x. Solve 0 = 4*i - 3*i - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (169*o - 1538*o - 934*o - 838*o + 576*o)*(0*o**3 + o**3 - 3*o**3).\nAnswer: 5130*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -166*i - 288*i - 46*i + 34*i - 35882 = 0 for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8353155 = 45*j - 66183360. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2334753, -5, 5 in descending order.\nAnswer: 2334753, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1040826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 4*z + 930 - 235 = 0, -3*z = 5*u - 1151. Suppose -5*n - u - 666 = 0. Let m = 341 + n. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4158 + 4160. Put -7, 13, q, 4, 5 in decreasing order.\nAnswer: 13, 5, 4, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/4*(-68)\/(-54825). Let d = 69869\/3225 + r. Find the common denominator of d and -65\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5864*g**5 + 360*g**4*z - 351134*g**2*z + 28*g**2 wrt g?\nAnswer: 351840*g**2 + 8640*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 2*b - 4, -w + 7*b - 6*b = 0. Sort 4, w, 2, -11 in ascending order.\nAnswer: -11, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m**4 - 19*m**4 - 2*m**4 + (m**4 + 2*m**4 - m**4)*(-1 + 3 - 1) as u*m**4 + x*m + n*m**3 + b + v*m**2 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 3*d - 6 = 0. Suppose 4*a = -2*g + 22, d*g - 6 = -0*g. Put -5, 5, a in ascending order.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 100 - 75. What are the prime factors of 24360\/o - (-6)\/10?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*t**2 - 4*t**2 - t**2 + (2*t - 3 + 3)*(3*t - t - 3*t) + 3*t - 3*t - 2*t**2 - 1 + 19*t**2 - 2 - 21*t**2 to the form m + h*t**2 + g*t and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0019874911 to 6 decimal places.\nAnswer: -0.001987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*s - 19*s = -11*s + 1958. Let h(d) = -d**2 + 10*d + 8. Let m be h(-6). Which is greater: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -49*b**2*j*y**2 + 4*b**2*j*y + 2*b**2*j + 6*b**2*y**2 + 618*b**2*y - 65*b*y - 2414*j*y**2 wrt y?\nAnswer: -98*b**2*j + 12*b**2 - 4828*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 7*u**2 - 4*u + 2. Let j(o) = -6*o**2 + 3*o - 2. Suppose -2*a + 0*a + 4 = 0, -3*a - 54 = -4*y. Suppose 0 - y = -3*r. Calculate r*j(i) + 4*v(i).\nAnswer: -2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(190)\/(sqrt(810) - 4*sqrt(810)))**2*-5 + 2.\nAnswer: -95\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/7 + 2894*r - 40524\/7.\nAnswer: 2*(r - 2)*(r + 10131)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 21, -3, 5, -1760, 0 in descending order.\nAnswer: 21, 5, 2, 0, -3, -1760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 452\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -167\/30 and -62\/21399.\nAnswer: 213990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 366156, 732312, 1098468?\nAnswer: 1464624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 182 - 1272\/7. Let i = 9\/5 - 104\/55. Let y = i - 9\/22. Sort j, -2, y in decreasing order.\nAnswer: j, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, 5, 37, 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1119, 2245, 3381, 4533, 5707, 6909, 8145?\n\"Answer: u**3 - u**2 + 1122*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 77*a = 78*a + 6*s + 2, 3*s = -2*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 2*h - 4. Let d be 800\/15 - h\/(-6). Is 6 a factor of 1\/(((-3)\/(-1))\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9928*m**4 + 2*m**2 - 589*m + 3522279.\nAnswer: -39712*m**3 + 4*m - 589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1317, 4739, 21163, 53139, 105851?\n\"Answer: 864*a**3 + 8*a - 2189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 8*z**2 + 138*z - 46*z**2 + 13*z**2 + 84*z + 16*z**2 to the form k*z + v + b*z**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r*r*r*r**(4\/7)*r*(r\/(r\/(r\/(r*(r*r**(-5\/6))\/r)*r)*r))\/r)**(-36) assuming r is positive.\nAnswer: r**(-1362\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*n - 2*n + 0*n + (-2*n + 4*n - 4*n)*(3 + 1 - 5) - 1 + 1 + n)*(-2*n**3 - 5*n**3 + 4*n**3) to v*n**3 + f*n + u + i*n**4 + r*n**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be 5*1\/(-2 - -3). Suppose 23 = z*n + 8. Let s(w) = -1 - 1 + 4 - 6 - n*w. Give s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4\/9, -1\/2, -715500?\nAnswer: -715500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2356?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 1462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 - 5*f**2 - 79*f - 239. What is y(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 + 4420.\nAnswer: 4425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 2*q + 10 = 0, 0*n + 3*n + q = 5. Suppose n*t - 4 = 3*v - t, -2*v + 6 = -5*t. What is the units digit of (-51)\/(-9) - v\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-12)\/(-4)*4\/3. Let p = 6550 + -6573. Put -4, p, r, 3 in descending order.\nAnswer: r, 3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3498 + 98?\nAnswer: -3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 18*d = 34. Solve -5*z + 2*b - 2 - 18 = 0, -d*b = -3*z - 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58 - 109 + 5889*o - 8371*o + 51.\nAnswer: -2482*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence opo when three letters picked without replacement from ppooooo?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 14.2 and 1448?\nAnswer: 20561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/90 and -121\/2020170.\nAnswer: 6060510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 115039780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - 43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (104\/(-76))\/(-13) - (1 - 1)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 9:08 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -7*t. Give w(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110*w - 179185 = 527235. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6\/11, 3, 3\/4, 0.2, -1, 1, -10 in descending order.\nAnswer: 3, 1, 3\/4, 6\/11, 0.2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/(-35)*(-1)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 133331792 plus -0.21?\nAnswer: 133331791.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14.1 + -14. Let o be -2*(7\/42)\/((-1)\/(-15)). What is the nearest to 0 in 4, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.1 + -7.1. Let a = u - -5. Let i = 0.2 - 0.3. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50110 rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3956 + 3968. Which is the closest to 2? (a) 4 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-346 + 99 - 33)*((3*j**2 + 0*j**2 - j**2)*(0 + 2 + 0) + 3*j**2 + j**2 - 2*j**2 + 0*j + 2*j**2 + 0*j + 110*j - 7*j**2 - 110*j).\nAnswer: -280*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 962 and 558?\nAnswer: 268398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -214 - -1440?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 times 0.37\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:46 AM and 11:18 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (125\/5)\/5 - (-24)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - 1) + 21 + (617 - 617) + -152?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllltllllllll?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59835 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 572.3705 millennia to centuries.\nAnswer: 5723.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 444741586 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**2 + 4*v + 5. Let m be x(4). Suppose 0 = -5*b + 73 - 3. Let j = b - -41. What is the greatest common divisor of m and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2256 + -2264 + (-1 - 55)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of -4\/15*a**5 - 4\/3*a**2 - 2\/9*a**6 + 4\/9*a**3 + a**4 + 47 + 0*a. Suppose w(k) = 0. What is k?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9312871.\nAnswer: 89, 104639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2170718 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -352, -5, 7 in descending order.\nAnswer: 7, -4, -5, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -29.36 (b) 914 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2802 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -357*j - 225 = 132 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 5*t - 9 + 1, -5*r - 20 = -5*t. Suppose -3*m + v = -t*m - 23, -m + 19 = -2*v. Let s be 8\/28*(-42)\/m. Is -1 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kjjjjjkj. What is prob of picking 2 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(91)\/(sqrt(224)\/sqrt(2)) + -1*2*sqrt(832))**2.\nAnswer: 51597\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37, -27, -19, -13, -9, -7, -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 - 42476?\nAnswer: -42472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 58 - 123 = -3*t, 65 = t + 3*z. Suppose -10 = 4*n - 2*s + 228, n + t = s. Is (12\/(-10))\/(4\/n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 172.7, 0.49574 in decreasing order.\nAnswer: 172.7, 0.49574, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 102043 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kvbvkkbvkkkv. Give prob of sequence vk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.08 and 0.118568381898477.\nAnswer: 0.038568381898477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5578340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be 399*(-7 + 3)\/12. Let t = g - -99. What are the prime factors of 11781\/t*(-2)\/3?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 270176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27210689*h**3 + 24496857*h**2.\nAnswer: 163264134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and -0.00156?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by -37739.\nAnswer: 8\/37739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -470*t - 3238 = -633*t + 837 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -19, 2, -2 in descending order.\nAnswer: 2, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 48*p**4 + 140*p**3 - 858*p**2 - 1694*p - 744 = 0.\nAnswer: -31\/6, -1, -3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -313 and 6.626.\nAnswer: -2073.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*j + 366 - 146. Suppose -6*c + 8 = -2*c. Solve -c*w + j = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 415*w - 14874 = 1429 + 712 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1505519993 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 4*m**5 + 4*m**4 - 4*m**3 + 5*m. Let w(p) = -7*p**5 - 9*p**4 + 9*p**3 - 9*p. Let a(n) = 9*k(n) + 4*w(n). Find the second derivative of a(b) wrt b.\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p\/(p**(2\/5)\/p)*p)\/p*p\/(p\/p**(-2\/9)))\/(((p\/p**(1\/3))\/p)\/p)**(4\/7))\/((p\/(p\/(p\/p**1*p*p*p))*p*p*p**(-1))\/(p**8\/p**3)) assuming p is positive.\nAnswer: p**(989\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 5 = -2*h. Let z(g) = -3*g**3. Let m be z(h). Sort m, -4, -2\/5.\nAnswer: -4, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 5)*(-3*s**2 + 5 - 5).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - -510015?\nAnswer: 510012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-13)*j**(-9))\/(j**15)**5 assuming j is positive.\nAnswer: j**(-97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from nnnnnnnnnzznznna?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2082175527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 + 2*s)*(8*s - 8*s - 7*s**2) + 4*s**2 - 6*s**2 + 3*s**3 - s**3 to l*s**3 + z*s + v + x*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -2512 * -1.39.\nAnswer: 3491.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 7\/3 of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7.136 + 0.064. Let d = 6 - r. Let g = d - -0.2. Which is the closest to -1? (a) -4 (b) -1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1427 and 0.5.\nAnswer: 713.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -4 + 5 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 2*s. Let x(o) = -o. Suppose -3*p = -2*p + 5. Determine p*x(n) - 4*q(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -124944 by -57.\nAnswer: 2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -405539, -1622174, -3649899, -6488714, -10138619, -14599614?\n\"Answer: -405545*j**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-6)*2442\/(-11803).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -109\/24 and 22\/(-66) - 5*7\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**2 + 5*u + 3. Let z be i(6). Find the common denominator of -29\/22 and 1*z + 106\/(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 42*j - 116. Let p be g(3). Suppose 6*v - p*v = -152. Let d(i) = 11*i - 6. Let r be d(4). Calculate the highest common divisor of v and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 25\/6 in -105, 7, 0.66, -4, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1507970 divided by -1\nAnswer: 1507970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, c: 4, k: 2}. What is prob of sequence ckoo?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2352, 1752 in increasing order.\nAnswer: 0, 1752, 2352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*b + 6*b + 6*b**4 - 45*b**4 wrt b?\nAnswer: -468*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 285 = 7*y + 12*y. Solve -3*w + 0*w = -y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppvvvpp. What is prob of picking 3 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes after 12:12 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -89*w + 87*w. Let y be 1265\/1848 + w\/18*4. Are y and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, -2, 1 in descending order.\nAnswer: 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00310869 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 14118*u. Let z(b) = -49*b**2. What is p(z(l))?\nAnswer: -691782*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(2420) + sqrt(960)\/sqrt(3))\/((sqrt(80) + sqrt(80)*2)\/sqrt(8)*-5))**2.\nAnswer: 1352\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 39314206111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4 - (-1888)\/20)*1060\/(-8). Let y = j - -179038. What is y rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w - 2*w - 3*w + 11.\nAnswer: -2*w + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 71.90811 litres in millilitres?\nAnswer: 71908.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 10*r**2 + 266*r - 108. Let m be w(-27). Let o = -3 - -4. What is the closest to 1 in o, m, 21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/(-6))\/((-22)\/330). Let g(z) = -3*z - 1. Let c(o) = -2*o - 1. Calculate s*g(a) - 6*c(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of j**2*w*z + 3*j**2*z - 7*j*w*z + 2*j*z - 15 wrt w.\nAnswer: j**2*z - 7*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b**2\/19 - 6*b\/19 - 8\/19 = 0. Calculate b.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the first derivative of -5*f**4\/16 + 5*f**3\/2 + 35*f**2\/8 - 177. Find x such that g(x) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) -0.3 (b) -0.67 (c) -0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*h - 2*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -11 - (13 - 9) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 94\/2162*276*1\/426.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 644270202 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 + 3 + -4 + 0. Suppose -3*d - y = -2*f + 7, -4*f + 3*d = -15. Solve 0*q + q + 16 = f*l, 2*l - 11 = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15992*u**2 + 1023*u + 23 - 23 - 1023*u to the form b*u + l*u**2 + p and give l.\nAnswer: 15992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {r: 2, s: 4, h: 2, e: 3, d: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17*2)\/(((-2)\/(-18))\/(37\/(17649\/(-53)))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 824248964 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7684907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -1, 0, -0.3, 68.57, -2, -2\/7?\nAnswer: 68.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 2*l - 8*l**2 + 9 - 16 + 9 + 1.\nAnswer: -8*l**2 - 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -23*q**3 + 43*q**2 - 21*q - 1. Let v(t) = -11*t**3 + 22*t**2 - 11*t. Let w(a) = 2*f(a) - 5*v(a). Factor w(p).\nAnswer: (p - 2)*(3*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 - 10. Let q be (w\/(-32))\/((-2)\/8). Let d be -4 + (-1)\/((-2)\/(-2)). Put d, -3, q in descending order.\nAnswer: q, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -109*y - 1059. Calculate h(-9).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cecc when four letters picked without replacement from {e: 3, q: 7, a: 3, c: 4, h: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 15013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:07 PM and 8:27 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -14*l**3 - 11*l**2 - 70*l + 134. Let q(g) = 3*g**3 + 3*g**2 + 18*g - 34. Let d(v) = 2*h(v) + 9*q(v). Determine d(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -2*x - 5. Suppose 1 = k + 5, -118 = 5*q + 2*k. Let m = 22 + q. Let h(i) = -10 - 4 + m + 11*i - 17*i. Calculate 5*h(o) - 14*t(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2 - 392*m - 19208.\nAnswer: -2*(m + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41521 - 5954. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/2)\/((220\/(-924)*-21)\/(95\/2))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -2*q**2 + 29*q - 99. What is m(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**2 - 6*l - 14. Let h = 24 - 16. Let q be n(h). Let u be q\/5 - (-56)\/35. Solve 2 = -u*p - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 + 15*t + 35. Let u = 29 + -25. Suppose -2*b - 2*r - 34 = -5*r, -62 = 5*b + u*r. Let y be z(b). What is the highest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 376858?\nAnswer: 2, 61, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 7.100766 weeks in days?\nAnswer: 49.705362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-15)\/10)\/(12\/(-128)). Suppose -w*j = -0*j - 112. What is the remainder when 19 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 11) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-4295816)\/(-287))\/(4\/7)?\nAnswer: 2, 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 258661.1 - -1037389.1.\nAnswer: 1296050.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 0 - (11 + -14 + -4 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -9, -8, -7, -6, -5, -4?\n\"Answer: m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 16 = -c - 3*j, 3*c - 24 = -j. Let t = 7 - c. Suppose y + 3*y = 4*i - 12, t = 3*i + y - 17. Calculate the highest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1052984 and 1052981 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes after 10:21 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 139889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(432)*-2 - (1 + sqrt(432))*3)**2 - -5*(1*sqrt(432) + -5).\nAnswer: 300*sqrt(3) + 10779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (13\/(-2)*8\/(-20))\/((-1359)\/13590)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (108 - 99) + (-4 + 2 + -3 + 0 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 3*j**3 - 19*j**2 - 84*j + 561. What is d(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*i**2 + 29*i**2 + 6*i**2 - 10*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**2 - 7378*u + 7634155. What is m(920)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 225439*x**2*y**3 - 172*x**2*y**2 - 3*x**2*y + 47*x + 215*y**4 - 131 wrt y.\nAnswer: 1352634*x**2 + 5160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 40122\/(-2972) - 36\/(-4)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4964 and 296599.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 6*x = -55. Suppose x*o + r = 4*r + 28, 0 = 2*o - 4*r - 14. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9*-14*(-23)\/207?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 4*c + 28831212, 0 = -11*v + 8*v + 2*c + 43246806. What is v rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -1 + -2 + 4 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -3*d**3 - 2*d**2 - d + 2. Let n(w) = -16*w**3 - 11*w**2 - 4*w + 11. Determine -11*c(h) + 2*n(h).\nAnswer: h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14440.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -131.8 and -426?\nAnswer: 294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of -y**5\/20 + y**2 - 2. Let d(k) be the second derivative of l(k). Let u(g) = -g + 0*g + 0*g. What is d(u(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*z**2 + z**2 - 2*z**2 + (2*z + 4*z - 5*z)*(20 - 20 + 5*z))*(252*z + 2*z**2 + 85*z**3 - 252*z - 2).\nAnswer: 595*z**5 + 14*z**4 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 14 divided by 6298\nAnswer: 7\/3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1820, 5482, 9144?\nAnswer: 12806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kyyq when four letters picked without replacement from {k: 4, q: 6, y: 5}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 340300.3 litres?\nAnswer: 340300300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -431*w - 121. Let f(m) = -1179*m - 363. Let h(b) = -4*f(b) + 11*t(b). What is h(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -17, 1, -51, -0.3, -1\/2, -11\/3 in ascending order.\nAnswer: -51, -17, -11\/3, -1\/2, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**2 + 3. Let g(f) = 852*f**2 - 1704. Let h(b) = g(b) + 568*s(b). Let y(l) = 2*l**2. Calculate y(h(k)).\nAnswer: 161312*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 478505699507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47766 divided by -38.\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 94 + -98 + (12 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**3 + 4*d**2 - 5*d + 3. Let h be v(-5). Let g(x) = -1 - 5 + x**3 - 3*x**3 + x**h. Let z(r) = r**3 + 7. Give -7*g(w) - 6*z(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, w: 5, r: 1, e: 1, i: 1}. What is prob of picking 1 r and 1 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 3*q + 235 = 2*q, -2*y + 88 = -4*q. Suppose 2 = 2*k - 4*j - y, 120 = 5*k + 3*j. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -2*x**3 - 43*x**2 + 20*x - 36. What is k(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -125\/211818 and -15\/564848.\nAnswer: 1694544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 177144 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25\/(900\/(-54))*(-2)\/9*-51.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832) + 2 + sqrt(832))*2*-3.\nAnswer: -96*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 8*f**2 + 2*f + 10. Let q(r) = -5*r**3 - 1. Let x be q(1). Let y(g) = -7*g**2 - 2*g - 9. Let b(n) = x*o(n) - 7*y(n). What is b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -52 - 10\/4*16\/20. Let s be 18\/v + 7\/3. Suppose 3*z - 22 = -s*r + z, -2*r + 42 = -2*z. Solve -5*a = -4*b - r, -a - 3*b = -2*a + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**2 + 18*y - 10. Let j be v(0). Let m(s) = s**3 + 9*s**2 - 13*s - 5. Calculate m(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18200*a - 137*a**3 - 2*a**2 + 9101*a + 3 + 9100*a - 1 in the form o*a + c + p*a**2 + d*a**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = 4*f - 62. Suppose 5*h - 15 = -0. Let i(z) = -z + 6*z**2 - 2 - 1 - f*z + 0*z**h - z**3. Give i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iddidiiidddii. Give prob of picking 1 i and 3 d.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.484 - 0.016. Which is the third biggest value? (a) 0.2 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r**2\/4 + 29036862*r + 281046451602348 = 0. What is r?\nAnswer: -19357908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12258287 is divided by 1307?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 284 + -103. Let j(g) = -124*g - 10. Let t be j(-1). Let c = r - t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of -l**4\/54 - 71*l**3\/27 - 70*l**2\/9 + 1460*l. Suppose y(r) = 0. What is r?\nAnswer: -70, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -7\/2, 0.7, 47639?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1210879 minutes to milliseconds.\nAnswer: 7265.274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -47*i + 11*i - 3133*i**4 + 3088*i**4 wrt i?\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.2, -39.16, 11, 0.115?\nAnswer: -39.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -50.85 + 0.85. Let g = -107 - o. Let s = 85 + g. Which is smaller: s or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/3 (b) -4412 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 21.4 in 4, -4, -3, -5\/6, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes after 12:17 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 + 7*m**2 + 12*m + 12. What is a(-7)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 21*z - 57. Calculate m(-26).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -3*n**2. Let b(i) be the third derivative of 0*i**3 - 1\/12*i**4 - 8*i**2 + 0 + 0*i. Give b(u(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -5*a - 3*o + 33, -3*a + 19 = 2*o. Suppose -3*n + 6 = 3*s, n - a*n + 38 = -2*s. Solve -2*r = -4*k - n*r + 19, 4 = k + r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 34.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9710, 19403, 29074, 38711, 48302?\nAnswer: 57835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50650486, -50650494, -50650508, -50650528?\nAnswer: -50650554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-2)*(-391)\/23. Let a(u) = u - 17. Let c be a(m). What is the remainder when 4431\/35 - (4\/(-10) + c) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.3409 - 0.0409. Put k, -3\/4, -2, 13\/5 in decreasing order.\nAnswer: 13\/5, k, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*w**2 - 12*w + w**3 + 13*w + 9*w**2 - 13*w.\nAnswer: w**3 + 35*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (b + 4*b - 3*b)*(5 + 5*b - 5)*(4*b - 4*b + 2*b).\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/2 - 3\/6. Let w = a + 7. What is the nearest to -1 in w, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -319.0192 - -319. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 215 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/132 and 7\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -5, -4, 11, -829, 0.5, 21, -42?\nAnswer: -829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 + 6*m**2 - 7*m + 1. Let a be v(-7). Let o = 13 - 8. Sort a, o, -1.\nAnswer: -1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(80) + 0 - (sqrt(500) + 0 + 4))**2 - ((sqrt(660)*1)\/sqrt(11))\/(sqrt(36)\/sqrt(3)*4).\nAnswer: 831*sqrt(5)\/4 + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-4 + sqrt(12)\/(sqrt(12)\/sqrt(2)) + ((sqrt(700) + sqrt(28) + sqrt(28))\/sqrt(2))\/sqrt(7)))**2.\nAnswer: -64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -61*p**2 + 420*p + 59. Give y(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -1 + sqrt(396) - sqrt(396))**2 - ((-6*(sqrt(132)\/sqrt(3) - sqrt(44)))\/sqrt(4))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.5 + -3. Suppose 83*p + 200 = 123*p. Let z = -2.5 + 0.5. Which is the nearest to z? (a) p (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17 - -19. Find the common denominator of (21\/(-84))\/(18\/(-848)) + -5 and (-4)\/(((-312)\/(-76))\/l).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -65*a - 1. Let l be -7*((-1)\/3)\/((-16)\/(-48)). Suppose 0*f - 3 = n + f, n + 3*f + l = 0. Let o be u(n). Which is smaller: o or 65?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/3*(-3)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 0*i**3 - 1 + 6*i**2 - 13*i**2 - 2*i + 3*i**2 - i**3. Calculate w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 3, b: 3, x: 6, d: 1, q: 1, c: 1}. Give prob of sequence qcb.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01816761 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1759053, -5, -1, 0 in descending order.\nAnswer: 1759053, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g - 260 = -20. Is 16 a factor of 553\/35 - (g\/25 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24871.\nAnswer: 7, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4\/5*a**2 - 696\/5*a + 30276\/5 = 0 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 24 + -24.022. Let f = -0.02187 - u. What is f rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**1\/k)\/k)\/k*(k\/(k\/k**(-5)))\/k)\/(k*k**(-2)\/k*k)**(-28) assuming k is positive.\nAnswer: k**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20\/8)\/(14535\/513).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 215729892 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 15 = 0, -3*s = 2*h + 3*h - 40. Let o be ((-2)\/h)\/((-1)\/5). Suppose o*b + 48 = 5*b. Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3149 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15 and 4680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, i: 3}. Give prob of picking 1 j and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8 - -5. Let n = -4.01 + 0.01. Let x = n - o. Is 2\/5 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195957518149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 90788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 + 6*v - 14. Let p be s(4). What is the hundreds digit of (-4)\/(-6) - (686\/p - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 30216940 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-654)\/545)\/(((-12)\/160)\/1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of 3*i**2\/2 + 6*i + 1. Let y be z(7). Suppose -p + y = -4*t, -2*p + t = -t - 30. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the first derivative of 103*o**7\/7 + 2*o**5 + 2*o**3\/3 + 2287*o**2\/2 + 986. Find the third derivative of t(y) wrt y.\nAnswer: 12360*y**3 + 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 66 = 26. What is the common denominator of (s\/16)\/(48\/66) and 5\/9?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2*p**2 + 1. Let q be x(1). Let m be q + -1 - 6\/(-1). Suppose m*v + 36 = 5*u, -v - 17 = -4*u + 3. Calculate the lowest common multiple of 10 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/(l\/l**(1\/7))))\/l)\/l*l*l**16 assuming l is positive.\nAnswer: l**(111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 741 - 76 = -122*v - 677 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-1*sqrt(1100) + 3 + -3*(-1 + sqrt(1100)) + -5)**2 + -4.\nAnswer: -160*sqrt(11) + 70397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 - l - 92. Let y be j(0). Let s = y - -90. Let q be (-10 - -7)\/(s - 0 - -1). Solve 7 = -2*b - i - 8, -q*b + 4*i = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -3*r**3 - 15*r**2 + 12*r + 60 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, b: 1, x: 1, z: 1, q: 2, j: 1}. What is prob of sequence jb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -192443.9 - -192444. Let i = 9403\/16 + -588. Which is bigger: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*y - 2*y + 3*y - 3*y - 4 + 4 + (y + y - y + (0 - 3 + 2)*(2*y + 2*y - 6*y))*((1 + 0 - 6)*(4 + 1 - 6) + 2 - 2 + 5) to l*y + n and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 52 + -77. Let a = w + 39. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 224101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 61730701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/6 or -22033?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*m - 268 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -9 + 5 + -2 - (6 + 4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from 685667229677.\nAnswer: 685667229673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5 and 45349615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 18072432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 4*m - 5. Find the common denominator of -95\/14 and (-186)\/16*m\/(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/16)\/(-293 - -292). Solve -1\/4 + o*t - 1\/4*t**4 + 1\/8*t**5 + 1\/2*t**2 - 1\/4*t**3 = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2050561 - 1010561. Suppose i - 5*i = c. What is i rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.03 * 1368.5\nAnswer: 41.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 998062 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-78)\/(-21) + 8\/28. Suppose 5*h - 6*j = -j + 55, 2*h + s*j = 46. Suppose 0 = -2*k - x + h, -k + 7 = -2*x - 3. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64255610.\nAnswer: 2, 5, 41, 53, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the second derivative of -5*n**3\/6 - n**2 - 20*n. Determine g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the second derivative of x**4\/12 - 3*x**3\/2 + 5*x**2\/2 + 2*x. Let j be k(9). Let b be 0\/(-1) + j\/((-20)\/(-8)). Solve -5 - 5 = -b*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 251, 424, 721, 1148, 1711?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (6 + (-21)\/3 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 4*s - 43. Let k(q) = q**3 - q**2 - 2*q - 29. Let t be k(4). Let y be a(t). Put -5, 9, -4, y in decreasing order.\nAnswer: 9, y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4 and 156069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*o + o + 9. Let t = -16 - -27. Suppose 4*j = 2*j - d - t, -3*d - 17 = 4*j. Which is greater: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5954 + b**3 - 6*b**2 + 5954 as j*b + s*b**3 + f + l*b**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 - 0 - (2\/3)\/(661\/(-115014))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, e: 3}. Give prob of sequence mm.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 777 a factor of 2134804392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 37 + -4. Suppose -g + t = -58. Calculate the highest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -108, -2\/1931, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j, 1 y, and 1 e when four letters picked without replacement from {y: 5, z: 3, e: 7, l: 1, j: 2}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 278\/15 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 - -11. Let h = -57\/224 + -1\/32. Put 0.3, h, q in decreasing order.\nAnswer: q, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8835513?\nAnswer: 3, 19, 155009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/10*167\/(40080\/15520)*-5?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -4340, -4300, -4250, -4184, -4096, -3980, -3830, -3640?\n\"Answer: b**3 - b**2 + 36*b - 4376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide 2239050384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = m - 216. Let h(c) = -2*c**2 - 12*c + 4*c**2 - 12 + 4. Let t be h(7). Calculate the greatest common divisor of t and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (99\/18)\/(-2 - -3). What is the nearest to -1 in -2, 2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -4*r + 1. Let c be t(-1). Suppose -c*v - 5*o = -30, -1 = o - 0*o. What is the derivative of 15 + v*u**2 + 14*u**2 + 22*u**4 - 21*u**2 wrt u?\nAnswer: 88*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d = -6*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 7627*o - 27. Let h be b(5). Suppose 68*q - 40*q - h = 0. What are the prime factors of q?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*l**2 - 5291469*l + 3401676 = 0.\nAnswer: -125988, 9\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/12*(1377\/18)\/(-17)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3 + 20746*i**2 - 41488*i.\nAnswer: -i*(i - 20744)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 148373470 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.2072424 - 2.25223. Let i = r + 0.045. What is i rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13157 is divided by 2300?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*t**3\/6 - 32015*t**2 - 192085*t\/6.\nAnswer: -5*t*(t + 1)*(t + 38417)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, j: 7, g: 3, i: 3, l: 1, r: 3}. Give prob of picking 2 j and 1 x.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1135973.\nAnswer: 151, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = l - 2*c, 43*l - 40*l - 15 = -c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - s - 11 = -4*l, 12 = 4*s. Suppose 0 = -2*x - l + 10. Solve 5*d = -3*y + 21, 3 + x = -d + 5*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -16.8, 1\/2, -1, -9, 494, 3 in descending order.\nAnswer: 494, 3, 1\/2, -1, -9, -16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -13264.2 and 2.\nAnswer: -26528.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6226038 and 429?\nAnswer: 68486418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -14*n**2 + 7*n - 3. Let d(k) = -2*k + 1. Let v(i) = 3*d(i) + x(i). Let h(z) = z**2. Calculate h(v(t)).\nAnswer: 196*t**4 - 28*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**2 - 3*z + 2. Let k be g(-3). Suppose 2*y - y = k. Suppose y = 5*o - 3. Solve 2 = d + 2*i, i = -d - 0*i - o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 25 = 4*d + d, -12 = 3*d + 2*n. Let l = 6610 - 6606. Put d, 0.1, l in descending order.\nAnswer: l, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -7*m**3 - 5*m**2 - 8*m - 7. Let i be v(-1). Solve 2*c - n + 7 = 3, i*n - 8 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuhh when four letters picked without replacement from shhsssssurusvhssvv?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -5*u - 27*u**4 - 3*u**2 - 12*u**2 + 29*u**4 in the form v + j*u**4 + i*u + n*u**3 + h*u**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 107, 104, 97, 86, 71, 52, 29?\n\"Answer: -2*p**2 + 3*p + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6 - (-6 + 10)) + 6. Suppose -6*h + u*h - 2 = 2*o, -3*h = o + 1. Solve -4 = -4*i - 3*m + 2*m, -5*m = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 278117142 and 282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.8 - -1. Let k = -11.5 - -6.2. Let i = 9.3 + k. Which is the nearest to 0.1? (a) i (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 393263778?\nAnswer: 2, 3, 65543963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42384163 is divided by 257.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 263805851 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17550)\/756 - 161\/(-42)*6.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-230*k - 308*k + 46*k)*(7*k**2 - 2*k**2 - 3*k**2).\nAnswer: -984*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-68)\/18 - 4\/18. Let x be 2*-1 - (d + -13). Let n = x - -1. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a - 2*o - 14 = 0, -4*a + 1 = 5*o + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 3*k = 46. Suppose z = 5*v - k, 3*z + 4 = 2*v - 0*v. Let c(a) = -z*a - a + a. Let f(r) = -2*r. Give f(c(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -6*m**3 + m + 1. Let f(q) = q - 9. Let y be f(8). Let j be t(y). What is the units digit of 22\/j + 3\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 38280, 38291, 38308, 38331, 38360?\nAnswer: 38395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*g*t**3 - 31*g*t*v + 20*g*v - 3*t**3*v - 42846*v wrt g.\nAnswer: -4*t**3 - 31*t*v + 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9787\/19 or -514?\nAnswer: -9787\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3368, -3370, -3364, -3344, -3304?\nAnswer: -3238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 900776647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is ((-318426)\/36 - 5)\/(147\/(-18) + 8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (25*u**2 + 18*u**2 + 19*u**2)*(2*u - 2*u + u).\nAnswer: 62*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ygrgyyrryxr. Give prob of picking 1 x and 3 y.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 18\/955 and 68\/746619.\nAnswer: 3733095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {y: 3, q: 4, c: 4, j: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2348971869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 13*k - 72. Let l = -342 - -348. Calculate v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 44*i**2 + 4*i**3 - 3*i**3 - 246 - i + 246 to the form o*i**2 + u + x*i**3 + n*i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 723, 1627, 4089, 8889, 16807?\n\"Answer: 130*k**3 - k**2 - 3*k + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-388)\/(-15) + 4\/30. Let u be h\/2*-1 - -3. Is 10 a factor of 5\/(u\/14)*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -44*h**2 + 1712*h + 212. Give m(39).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/((a*a\/a**14*a)\/a))*a)\/a)\/(a*a**(-8)) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 5*v + 62 = 158, 29*v - 270 = -5*w + 42*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**3 - 615*w**2.\nAnswer: -5*w**2*(w + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the first derivative of 0*c**3 + 0*c - 3 + 1\/4*c**4 - 1\/2*c**2. What is the second derivative of i(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**2 + 6996*n + 3013020.\nAnswer: 3*(n + 570)*(n + 1762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -82*k + 31. Let y be i(4). What are the prime factors of 1\/(20\/20 - y\/(-298))?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27324280861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1132661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2494 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 864 + -370. What is the highest common factor of z and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*f + 2, 5*f - 2 = 3*h. Let t be 26729982\/(-54) + (-2)\/(6*h). Round t to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 7:28 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 34230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38795942.\nAnswer: 2, 31, 173, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -r**6 - 31*r**5*y**2 + 4*r**2*y**2 - 4*r**2 + r*y**2 wrt r?\nAnswer: -120*r**3 - 1860*r**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let r(a) = 20*a. Let q(t) = 7*t - 2. Let u(p) = 3*q(p) - r(p). Let l = -1 - 0. Let x = 1 + l. Determine u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 57766 and -29.\nAnswer: -1675214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 3*c**2 + 37*c + 34. Calculate the remainder when v(-14) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*q - 5 + 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 3, q: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2824 + 2824 + 705*l**3.\nAnswer: 705*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 159 - 158. Let c = -47 - -47.08. What is the third smallest value in 3\/4, t, c, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/31, 0.25, 4, -0.5 in increasing order.\nAnswer: -0.5, -2\/31, 0.25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 0 = 2*n. Suppose 2*v - 3*o - o - 40 = 0, -v = -3*o - 22. What is the greatest common divisor of n and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -147 by 5.\nAnswer: -147\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -342 = 9*i - 15*i. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 3*w + 790 = 3*s, 4*s - 2*w - 632 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 6 + 2)*(-3*q - 5*q + 5*q).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 10924 (base 13) to base 10.\nAnswer: 30112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 794726920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - -4. Suppose 3 = -l + 9. What is the least common multiple of m and (7\/(-21))\/((-2)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2427 is divided by 1159.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/371, -6, 0.4051, -0.5?\nAnswer: -2\/371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -5*x**4 - 5*x**3 + 19838 + 4276*x + 4207*x + 990*x**2 - 383*x - 1478 = 0.\nAnswer: -6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7727281 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 9293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.03125796 and -79675976?\nAnswer: 79675976.03125796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**3 + 6*f**2 + 4*f - 43. Let k be g(-11). Which is smaller: -691 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the third derivative of 4*y**4 - y**2 - 26*y - 7\/3*y**7 + 49\/72*y**8 + 172\/45*y**5 - 28\/45*y**6 + 0 + 16\/9*y**3. Suppose o(w) = 0. Calculate w.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21011411 (base 5) in base 4?\nAnswer: 222022323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.102 - 42.898. Let v = -25.1049 - -0.1049. Let y = v - f. What is the third smallest value in y, 3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q + 5 - 3 - 3)*(q**2 - q**2 + 5*q**2) - 13*q - q**3 - 40*q + 23*q + 2.\nAnswer: 14*q**3 - 5*q**2 - 30*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 376*d - 20. Let y be g(1). Suppose 0 = -2*i + 472 + y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 2*v**3 - 3*v**2 - 6*v - 1. Let q = -54 - -58. Suppose 0 = -0*j + 4*j + 2*x - 60, 4*x = 2*j - 20. What is the remainder when o(q) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-2) - (-364)\/(-104)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 72*c + 19. Let y(r) = -19*r - 5. Let w(h) = 5*b(h) + 19*y(h). Let o(t) = -19041*t. Calculate w(o(z)).\nAnswer: 19041*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**2 - 8. Let o be s(-3). Let c = 0 + 0. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -61 smaller than 84257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 3*x - 113 + 23, -2*x - 76 = -2*f. Suppose -3*u = -u - f. Solve 3 + u = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:06 AM and 11:18 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13920\/(-19488))\/(((-1)\/12)\/(((-9)\/3)\/30))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -12 and 127.\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 10 - -395c?\nAnswer: 396c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2c - -321?\nAnswer: 2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 + 57451?\nAnswer: 57452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/6 - 16\/24. Suppose 6*v - 189 + 33 = p. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -240553, -240976, -241399, -241822, -242245?\n\"Answer: -423*k - 240130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -34, -64, -78, -70, -34, 36, 146, 302?\n\"Answer: w**3 + 2*w**2 - 43*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -386, -393, -410, -443, -498, -581?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 51921.5 litres to millilitres.\nAnswer: 51921500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 - 7*h + 9. Let x be v(6). Suppose x*p - 6 = -5*i, 0*i - 4*p + 8 = i. Does i = 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((9 + 0)\/72)\/1. What is the third biggest value in -1, r, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -0*z + 3*z. Let p(t) = -6*t**2 + 8*t + 8. Let i(h) = 2*h**2 - 3*h - 3. Let l(n) = z*p(n) + 8*i(n). Let x(k) = 2*k**2 + 2 - 2. What is l(x(r))?\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.7642 - -0.7242. Let q = 84 - 418\/5. What is the nearest to q in 4, 0.4, s, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 3*x + 1. Let m = -7685 - -7679. Let i(l) = -3*l - 1. Determine m*b(z) - 5*i(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qngn when four letters picked without replacement from {n: 4, q: 1, g: 2, y: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 5 (c) -8\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000392 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be -8*((-25)\/(-10) + 4). Let o = n - -68. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 + 9*j**2 + j + 13. Let p be o(-9). What is the first derivative of -4 - 4*x**p - 4*x**4 + 2*x**4 wrt x?\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000026583 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2 + 1220*a - 186050.\nAnswer: -2*(a - 305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3cb1a + -4?\nAnswer: 3cb16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 5*f - 63 = 0, 5*f - 9 - 15 = -w. What is the remainder when 112 - (-4)\/(1 + 3) is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 232*x**4 + x**2 - 15*x**3 - 66*x**4 + 25*x - 169*x**4 to z*x**4 + p*x**2 + b*x + h*x**3 + q and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 59*a*s*y - 49*a*y + 2*a - 2*s*y**2 + 2*y**2 wrt s?\nAnswer: 59*a*y - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 149638417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -10, 5*o + g + 65 = 2*o. Let u be ((-8)\/(-14))\/(o\/(-14)). What is the smallest value in -1\/5, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -3 (c) -0.05 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.186 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-91)\/910*(6\/(-3))\/(-2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1096294 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 10697305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -15*w + 6*w - 15*w + (-4*w + 3*w + 3*w)*(1 - 2 - 1).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -123684 - -150?\nAnswer: -123534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44, 205, 474, 851, 1336, 1929?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -587421899, -587421908, -587421929, -587421968, -587422031, -587422124?\nAnswer: -587422253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + 37 + (29 - 44).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/3 + 40\/15. Suppose -m + 0 = -d. Solve 0 = m*x - n - 10, 0*x + 3*n = -3*x + 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92552605 to the power of 1\/2, to the nearest integer?\nAnswer: 9620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31021 = -13*n + 11*n + 5*g, -77640 = -5*n - 5*g. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:04 PM and 9:18 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -2\/13, -100623, -30?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of -m**6\/120 + m**5\/60 + 23*m**3\/6 + 19*m**2. What is d(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n - 24208 = -n. What are the prime factors of n?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = 4*i + 4*h, -5*i = -10*i - h + 83. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -193055 divided by -4.\nAnswer: 193055\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 171218 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(50) - sqrt(2)))**2 + -3 + 3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/1411740 and -8\/207.\nAnswer: 1411740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does -25582 = -25583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1614 + 425?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -10*b + 68. Let m = 159 + -151. Let t be w(m). Let o(a) = a**3 + 11*a**2 - 11*a + 10. Determine o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11 and 3141941.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1131)\/90 + 3136\/(-5880) - -11?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.05? (a) -2724 (b) 5 (c) 1\/8 (d) 3 (e) -21 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 243565064590 take away 0.2?\nAnswer: 243565064589.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 114 divide 15126774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -7*z - 6. Let y(g) = -2*g - 2. Let b(p) = -w(p) + 3*y(p). Let j(m) = 2*m + 105. What is b(j(c))?\nAnswer: 2*c + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1*45*((-8)\/(-528))\/(16\/(-176))\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-32)*(-20544)\/14552.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 3552 by 13.\nAnswer: 3552\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 17*f**2 - 18*f - 16*f**3 - 12*f**3 + 27*f**3 + 16. Let o be z(16). Put o, -1, 0 in decreasing order.\nAnswer: 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 5:54 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the first derivative of -4*k + 45 - 6*k**2 - 16\/5*k**5 + 20\/3*k**3 + 3*k**4. Find y such that g(y) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 2*s - 50 + 316, -5*k + s + 681 = 0. Calculate the remainder when 7397 is divided by k.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2688 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6099, 12293, 18371, 24333, 30179, 35909?\nAnswer: 41523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**3 + 13*p**2 + 27*p + 52. Let f be h(15). Let g be 2\/(-4)*2 + 42\/f. Solve 0 = -5*l - 15, 5*v + 3*l - g*l - 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -42\/5 or 385563?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20 + -101?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.5430503 + -0.5489. Round k to 4 decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) -7 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f - 2*f**2 + 7*f**2 + 5*f**2 - f**2. Let m(c) = c**2 - 8*c + 15. Let j be m(2). What are the prime factors of g(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1207559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-16))\/(126\/112)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as 2\/25401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 5654.\nAnswer: 11308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from whb. What is prob of sequence ww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h. Let i = -30 + 24. Let q(k) = k + 8. Let z be q(i). Let l(o) = o + 0 + z - 2. What is -l(n) + 2*x(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p - s - 216, -4*p = -0*s - 2*s - 216. What is the remainder when 537 is divided by p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 6.4 times 0.0182\nAnswer: 0.11648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 351\/7 + -1776\/35. What is the closest to 125 in c, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 7:02 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 11*a - 17*a + 36*a - 3*a.\nAnswer: 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -246 - 16. Let z = k + -48. Let h = -46 + z. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*s**2 - 4864*s**3 + 4*s**2 + 2418*s**3 + 2407*s**3.\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1981 + 1116. Calculate the highest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 1 - 45)*(-3*u + 3*u - u**2 + (1 + 3 - 2)*(-2 + u**2 + 2))*(-3*u + 3*u + u**3).\nAnswer: -51*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of -1.8354 and 22.0438.\nAnswer: 20.2084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/207 and -31\/897.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -475*t**2 - 4*t - 2. Let c be l(-2). Let u = c - -9131. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2100261*j**2 + 49*j - 612515666 wrt j.\nAnswer: 4200522*j + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes after 8:52 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l**2 + 6*l - 4. Let d be s(-6). Let j be 76\/(-48) - 6\/d. What is the biggest value in 1\/5, -2, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 3:21 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -35378*0.4\nAnswer: -14151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 8:01 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, -12, 0.29, -0.21, -1\/3 in decreasing order.\nAnswer: 0.29, -0.21, -1\/3, -12, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(260) + sqrt(260) + 4*sqrt(260))\/sqrt(5) + sqrt(52) - sqrt(52))\/(sqrt(16)\/(sqrt(16)\/sqrt(4))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -5*d + k + 19, 0 = 18*d - 4*k - 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-5)\/b**6)**(-13\/4)\/(b*b\/(b*b**(-7)*b*b)*b\/(b**(-4)*b*b)*b**(-4)\/(b*b*b**(4\/7)*b*b)) assuming b is positive.\nAnswer: b**(989\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -448.3015 rounded to one decimal place?\nAnswer: -448.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/9? (a) -1 (b) -3 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/2))**(-3\/49)\/(v**(-2\/33)*v**(2\/5)*v) assuming v is positive.\nAnswer: v**(-21163\/16170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (241\/2)\/((-27)\/(-6) - 4). Suppose -240*r = -y*r + 20. Solve j + r = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 36*q. Let u(r) = r. Let p = -727 - -740. Let f be 1\/(-6)*(p + -7). What is f*w(y) + 27*u(y)?\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*t + 5*t - 768. Let c = t + 67. Solve -j - 9 = -7*b + c*b, -2*b - 2*j + 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f + 5*z + 119, -5*z = -0*z + 15. Suppose -12*b + 47 = 11. Calculate the remainder when 2\/(-5) - f\/5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3588000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 3*m**4 - 2088*m**3 + 482901*m**2 - 37292400*m + 36811584 = 0.\nAnswer: 1, 216, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (585\/(-130)*2\/(-21))\/(6\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 + -8. Suppose 4*h = t + 23, 2*h - 34 = -2*t - p*t. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-l + 2 - 2)*(l + 10*l + 3*l**3 - l**3) to the form t*l + i*l**4 + p*l**2 + q + m*l**3 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 PM and 7:40 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2234341154 + -43?\nAnswer: -2234341241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18 - -17.6. Which is the smallest value? (a) -1 (b) -3 (c) 3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 682 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14*m**2*x**6 - 9*m**2*x**3 + m**2*x**2 + 455*m**2 - 8*x**3 - 5 wrt x?\nAnswer: 1680*m**2*x**3 - 54*m**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -313608 + -1258?\nAnswer: -314867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1383, -2244, -3103, -3960, -4815?\n\"Answer: g**2 - 864*g - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 200162917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 - -3)*(49 + 1). Suppose -3*a + 14 = -7. Suppose -3*z + a = -p. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6\/29 - -17\/58. Let m = 3 - 3. Find x, given that -1\/2*x**2 + m*x + n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 141*z. Let f(d) be the third derivative of 11*d**4\/24 - 37*d**2 - 13. What is f(v(q))?\nAnswer: 1551*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-12)\/18)\/((-2)\/18). Let i be 4\/j + (-8)\/(-6). Let d be i\/(-6)*(-4 - -1). Solve 2 = -o + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 58 = q, -2*q + 6*q = 5*o - 62. What is the remainder when 107 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of 13*a**4\/24 - 1925*a**2. Let s(p) = -4*p + 8. What is s(q(d))?\nAnswer: -52*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5603016729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 + 3*r - 3. Let l(d) = 2*d**2 + 7*d - 5. Calculate 3*l(w) - 7*v(w).\nAnswer: -w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 359 - 207. Let l = -90 + o. Suppose 48 = 5*i - 5*s - l, -i + 3*s + 22 = 0. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8230, 16505, 24780, 33055, 41330?\nAnswer: 49605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34*-0.34.\nAnswer: 11.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10011110111100 + -10?\nAnswer: -10011110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.14 + 0.04. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -7. Let d(f) = 8. Let v(t) = 6*d(t) + 7*x(t). Let b(z) = 6 - 3 - 5 + 8 + 2*z. What is -b(w) - 6*v(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 51*l - 762. Let r be b(15). Solve 0 = -r*i + 244 - 229 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 12 = 16. Is 12 a factor of (-1460)\/x - 26\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 150 and 360?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 301575399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5 - (6 - (-3)\/(-1)). Suppose 2*i - 3*l - 12 = 0, 5*l + 3 = -i + c*l. Suppose 63 = -0*j + i*j. What is the highest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28821564.58999981 + -28821565. Let f = 42 - 41.59. Let q = f + i. What is q rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) 11764 (c) 0.5 (d) -2 (e) 0.2 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (20*21\/(-2058))\/((-1)\/7). Let k = 1270\/2247 - -2\/321. Solve 0 - 6\/7*x**3 - g*x**2 - k*x = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/75 of a week in seconds?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11509 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 71*v**2. Let s(r) = 104*r**2. Calculate s(j(h)).\nAnswer: 524264*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*c**2\/4 + 12968001*c\/4 - 77807574.\nAnswer: -3*(c - 4322643)*(c - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -872544 - 15?\nAnswer: -872559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 80\/21 and 97\/7662?\nAnswer: 53634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/7 + (-10)\/14. Let x(m) be the third derivative of m**5\/20 + m**4\/12 - m**3\/3 + 3*m**2. Let b(s) = -s**2 - s + 1. Calculate t*x(q) - 2*b(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 162225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**2 + 11*p + 29. Give i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 114500*m = 114494*m + 582 for m.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8031559.\nAnswer: 139, 57781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(468) + 0 + sqrt(468))*6 - sqrt(468))**2 + sqrt(468) + 1 + -1.\nAnswer: 6*sqrt(13) + 56628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-4\/9)*v**(2\/25)\/v)\/(v*v\/(v\/v**10))**(-46) assuming v is positive.\nAnswer: v**(113768\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5, -39, -91, -161, -249, -355?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(176))\/sqrt(8))\/(-3*(sqrt(11) - sqrt(891))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/120 and 1\/286278760.\nAnswer: 858836280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + -10 + (0 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 - ((-6 + -1 - -12) + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of -p**7\/14 - 11*p**6\/40 + 9*p**5\/80 + p**4 - p**3\/2 - 5*p. Solve t(k) = 0 for k.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -5*o + 269, -3*o - 4*r - 53 = -206. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5921 is divided by 54?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1253856 and 8825.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 52249*o**2 - 24496.\nAnswer: 104498*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -31*f*p*u*w - 152*f*w - p*u*w - p*u - 8*p + 29*u + w wrt f.\nAnswer: -31*p*u*w - 152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (1 + -3 - -20) + (-7 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23084352*f*u**2 + 3*f*u - 14*f - 2*u**5 - 134226*u wrt u.\nAnswer: 46168704*f - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*z + 4*z - 3*z**2)*(-5*z + 3*z - 3 + 2).\nAnswer: 6*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -2*k - 3. Let l be 2*-4*1\/(-4). Let w be l*(-1 + 15\/6). Determine h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 5*g + 25. Give t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 23 + 4*n - n**2 - 17 - 8. Let f(x) = -x**2 + 5*x - 2. What is -4*f(a) + 5*o(a)?\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -940 - -504. Let g = -436.333 - n. What is g rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 + 20*r**2 - 4*r + 15. Let x be j(-20). Let h = -96 + x. Let q(g) = -g + 5. Let p(c) = -c - 1. Let i(z) = 6*p(z) + q(z). Calculate i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - -5.94. Let g = h + 0.05. Let o = 1.01 + g. Sort -2, 3, o in increasing order.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7192 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/1325375 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 84967.39mg?\nAnswer: 0.00008496739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*z + 3 + z + 4*z)*(-3*z - 1 + 1) to the form o + b*z**2 + c*z and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3128\/3685 - -36\/737. Sort 1\/3, 0.0497, b in increasing order.\nAnswer: b, 0.0497, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1088) - ((sqrt(1088)*-2 - sqrt(1088)) + -2)**2 - (sqrt(1088)*1 + -1)**2) + (sqrt(34)\/sqrt(2) + -4 - 1*sqrt(17)*-2)*-1.\nAnswer: -10881 - 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the first derivative of j**5\/60 + 5*j**4\/24 - 16*j**3\/3 + 27. Let c(h) be the third derivative of u(h). Give c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 16 + 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (42 - (14 + -10 + -4 - -5)) + 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence opo when three letters picked without replacement from {o: 2, p: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -3334*t**2 + 873*t**2 + 478*t**2 - 2222*t**2. Let g(s) = -s**2. Determine g(r(j)).\nAnswer: -17682025*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of 0*t**4 - 9\/2*t**2 + 0*t - 5*t**3 + 1\/5*t**5 - 42. Find the second derivative of l(f) wrt f.\nAnswer: 12*f**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 121 a factor of 934412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 36822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -72*b + 531. Let z be j(11). Let w = 178\/77 - 16\/11. Find the common denominator of 3741\/z*2\/(-6) and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 51 + (-5 - -5) - (5 + (0 - 4 - -4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -22 + -209. Let o = -222 - n. Suppose 4*d + 16 = 5*d - 5*v, -v = 3. Solve -y + o*j + 7 = 4*j, -j = d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + v + 0*v - 16 = 0, -2*n - 15 = -5*v. Let u(y) = -y. Let z be u(n). Let j be (4*1)\/(2\/z). Solve -1 - 3 = -2*t + 4*w, 2*t = -2*w + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*d - 3 = 4*d, -7 = -5*k + 3901*d - 3898*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 - s. Let c(h) = 10*h - 19*h - h**2 + 13*h - 1. Give c(y) + 3*o(y).\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1755.643nm to meters.\nAnswer: 0.000001755643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (z - z + 3*z)*(z - 7*z + 4*z) + 0 - 24*z**2 + 2 + 22*z**2 to the form b + u*z**2 + n*z and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 215.0525 millilitres to litres.\nAnswer: 0.2150525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*-1*-3*sqrt(44))\/(sqrt(576) + sqrt(576) + sqrt(576)*-2*-5 + sqrt(576) + sqrt(576) + sqrt(576))*-6)**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 10 = 0, -z - 4*z + s + 195 = 0. Suppose -7*b - 7*b + 182 = 0. Calculate the remainder when z is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1d7b + 4?\nAnswer: 1d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 339*m - 339*m - 24*m**4 + m**4 - 1 + 1 + (-2 + 5 - 4)*(3*m - m**4 - 3*m) + 11 + 12*m**4 - 11 in the form y + v*m**2 + z*m**3 + j*m + r*m**4 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.01 - -1.41. Let l = -10.4 + v. Let s = -15.2 - l. What is s rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (204 - 204 - 163*w)*(-7*w**2 + 0*w**2 - 6*w**2).\nAnswer: 2119*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 33*w + 110. Give j(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17 - -25. Let v(z) = -z**2 + 9*z - 6. Let i be v(u). Suppose -i*y - 5*o - 114 = -13, -3*y + 2*o = 161. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 4*j - 12, -2*j + 1 = -2*p - 3. Suppose -5*b + 6 + 23 = p*m, -2*m + 9 = b. Let y = m + 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1611 divided by 3.\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 6) to base 12.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 24800625943 + -1.\nAnswer: 24800625942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -3*o**3 - 13*o**2 - 10*o + 21. Let g(n) = n**3 + n**2 + n. Let t(d) = 2*g(d) + r(d). Let x be t(-10). Is x >= 2\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11.5 - 11.3. Let a = -22 - -65\/3. Sort s, 1, a.\nAnswer: a, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 144670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 + 1 - 18\/3. Let a(d) be the second derivative of d**5\/60 + d**4\/8 - d**3\/2 + d**2 + 2*d. Let l(s) be the first derivative of a(s). What is l(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 4 - 6)*(1666*z - 8613 + 8615 - 10091*z).\nAnswer: -16850*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 6*z - 5. What is the tens digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 43895249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -6*o + 31. Give t(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*s**2 + 3*s**2 + 4*s**2)*(0 - 1 + 0)*(3411*s - 3411*s - 37*s**3).\nAnswer: 74*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -2*d**3 + 106*d**2 + 223*d - 173. Determine u(55).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 43225576, 43225569, 43225562?\n\"Answer: -7*q + 43225583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1973972 divided by 58058?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -222*b + 2834. What is v(13)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -22257 or -22245?\nAnswer: -22245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y. Let b(d) = -7*d - 2. Let l(q) = b(q) + 2*p(q). Let w(h) = -30871 + 30870 + 84*h - 37*h - 49*h. Give 3*l(c) - 5*w(c).\nAnswer: -5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**2 - 38*d - 186. What is i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -6*u**2 + 0*u**4 + 4*u**4 + 10*u + 4*u**2 - 5*u**4 - 2*u**3 as i*u**2 + a*u**4 + f*u**3 + b + r*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 212690 divided by -147?\nAnswer: -212690\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -800*k - 11689 = 23511 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**5 + 2*x**5 + 2*x**5 + 3*x**5 - 2*x**5 - 2*x**5 + x**5 + x**5 - x**5 + (3 - 3 + 2*x**4)*(0*x - x - x) - 10*x**5 + 43*x**5 - 16*x**5.\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 17203, -2\/5.\nAnswer: -2\/5, 0.4, 17203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 489795 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 52 + 229844?\nAnswer: 229896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 2816990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the first derivative of 2 + 1\/3*z**3 + 1\/2*z**2 + z - 2*z**4. What is the remainder when 17 is divided by d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 0 (c) 4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/97965691 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be 72\/15 - ((-4)\/(-5) + -1). Solve -3 + x = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 336*f**2 + 224*f + 2340. What is the hundreds digit of j(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t**2 + 7*t - 7. Let d(b) = -b**2 - 4*b + 4. Give -7*d(s) - 4*y(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1685 - 305. Suppose -j = -2*o + 1202. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/((-315)\/259) - (1 - (5 - 8))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 34*m**3 - 3*m**4 + 18*m**3 - 3*m + 20*m**3 + 0 as r + d*m + k*m**3 + b*m**4 + p*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -10002 (base 3) to base 14.\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -7 - 21 + 4*w + 2*w - 3. What are the prime factors of h(12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1010 + -8\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 38900196 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -254, -41, 310, 799, 1426, 2191, 3094?\nAnswer: 4135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -2 + sqrt(50))**2 - (0 + sqrt(200)*-2).\nAnswer: -40*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -1220453 (base 7) to base 11.\nAnswer: -a7480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (22 + 1 + -22)*2\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ezwqlrzzwewre. What is prob of picking 1 w and 1 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -2*b + 48. Let m be s(17). Calculate the highest common factor of m and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -4*r + 12. Let b be j(0). Is (-274)\/((-32)\/b + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 30\/(-36)*-6 + -5. Let a(y) = 3*y - 1. Let b be a(-1). Put 1, b, m in ascending order.\nAnswer: b, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -7 - 9. Suppose 0 = 3*g, 3*g = -6*h + 4*h + 188. Suppose -q = -5*q - 5*t + h, -q - f*t + 18 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.58 in 5, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 410*(-84)\/34440*41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*y - 12*y + 2 = 11*y + 4*j, 6*y - 2*y + j - 7 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**2 + 6*o - 22. Determine b(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 2*y - 3*v + 23 = 0, -14 = 4*y + 2*v. Let z be (-231)\/22*y\/(-3). Let w(p) = 189*p - 4. Let d be w(z). What is d rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2551 + -451. Suppose -d + 1272 = -2*f, 2*f = -4*d + 2958 + i. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 38 = -1. Let b(h) = h + 41. Let f be b(11). What is the highest common factor of i and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.03 * 14.3.\nAnswer: -0.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -28.4 * -7172.31\nAnswer: 203693.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/2*((-63)\/(-14))\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-257 - -248 - (0 - 7)) + (-3 + 2 - -43).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2b4 (base 15) to base 7.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence equs when four letters picked without replacement from {q: 1, s: 1, e: 2, o: 1, u: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 201101 - -10?\nAnswer: 201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/23)\/w*w**(-3\/13)*w*w)**(2\/43) assuming w is positive.\nAnswer: w**(434\/12857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 9917, 19847, 29787, 39731, 49673, 59607, 69527, 79427?\n\"Answer: -w**3 + 11*w**2 + 9904*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(176) + sqrt(176) + 2 + 4)**2 - (-4 + -1*sqrt(176)) - (sqrt(55)\/(-4*sqrt(5)) + sqrt(77)\/(sqrt(63)\/sqrt(9) + sqrt(7)) + sqrt(11)).\nAnswer: 395*sqrt(11)\/4 + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*f**3*o + 15*f**3*q**2 - f**3 + 390*f*o*q**2 + 2 with respect to o.\nAnswer: 3*f**3 + 390*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(1\/2)\/o*o\/o**(1\/5))\/(o\/o**3)**7)**(1\/77) assuming o is positive.\nAnswer: o**(13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 24 - 22. Suppose 4*t - 5*c - 322 = 0, -o*t = c + 75 - 243. Let h(v) = -4*v - 3. What is the remainder when t is divided by h(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1164853\/60 + -19413. What is the common denominator of 13\/165 and r?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}