{"text":"Question: What is the closest to 0.1 in -3, 0, -2\/3, 119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 674 - 857 = -183*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -638 = 4*a - 638. Put a, -6, 19 in descending order.\nAnswer: 19, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 4, 3\/5, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -451895279, -903790556, -1355685833, -1807581110, -2259476387?\n\"Answer: -451895277*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1495711872 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/12 - (-850)\/204?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -u**4 + 112542*u**3 + 502*u**2 - 4*u + 16?\nAnswer: -24*u + 675252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 11*n - 45. What is q(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1*3)\/(2\/18). Suppose 544*p - 86122 = -99722. Do p and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 5, 1\/4, -3, 3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 106, -3, 0, -5 in increasing order.\nAnswer: -5, -4, -3, 0, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 53524 + 33?\nAnswer: 54001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + i = 6*i + 11, -10 = -2*i. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*h + 3*h. Suppose 0*i + 4*i = h. Suppose i = 4*s - 13 - 51. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:41 AM and 12:59 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 7a (base 12) to base 14.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 33 + -102432?\nAnswer: -102344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*u - 2*u - 80. Suppose 0 = 27*a - 23*a - u. What is the second derivative of h**4 - 7*h + 22*h**5 + a*h**4 - 6*h**4 wrt h?\nAnswer: 440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 251*d**2 - 166896*d + 166896*d as v*d**2 + w*d + b and give v.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -89 (c) -2\/3 (d) 2 (e) 7602 (f) -1\/8 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4192 + 53855. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-21))\/(438\/(-2555))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 - 68*l**2 - 47*l + 101. What is the tens digit of z(69)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-38232)\/(-1656) + -33 + 10.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3516.034 milligrams to tonnes.\nAnswer: 0.000003516034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*s - 4 = -3*b + 16*s - 30*s, 0 = 2*s - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/25)*o)\/o**(-1\/6))\/((o*o**(1\/8)\/o*o)\/o*o\/(o\/(o*o*o*o*o\/((o*o\/(o\/(o*o**(-10)))*o)\/o*o*o)*o*o*o))) assuming o is positive.\nAnswer: o**(-7727\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 63\/(-84)*16 - 3\/((-6)\/8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 47*z**3 + 10*z**2 - 22*z + 42. List the prime factors of q(4).\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.23839ug to grams.\nAnswer: 0.00000323839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17 - -8. Let y = 5 + h. Let d = -1 - -3. Sort 2\/5, d, y in decreasing order.\nAnswer: d, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 7004779760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 80.9436kg?\nAnswer: 0.0809436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 183*j - 171*j = 24. Solve 15 = j*h - 3*x + 4, 4*h + 13 = -x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1791.004kg to grams.\nAnswer: 1791004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(3\/2)*t**42*t\/t**36*t**(3\/7) assuming t is positive.\nAnswer: t**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 31361 + 13?\nAnswer: 31374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3159.3 rounded to the nearest ten?\nAnswer: -3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 - (5 + -3 + 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**2 - 2*z + 3. Let k be h(5). Suppose -8*d + k = 2. Find the third derivative of -52*o**2 - 4*o**2 + 9*o**d - 27*o**5 + 22*o**2 wrt o.\nAnswer: -1620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 4*l + 44, 5*f = -0*l - 3*l - 31. Let s = 42 + f. What is the remainder when s is divided by ((-81)\/6)\/((-3)\/4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.03 - -0.03. Is 23 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 3*i**2 - 4*i - 39. Let o be h(13). Calculate the common denominator of ((-15)\/96)\/(24\/o) and 25\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the first derivative of -2977*m**6\/6 + m**5\/5 - 2*m**3\/3 + m**2 - 1690*m - 2407. What is the second derivative of q(i) wrt i?\nAnswer: -59540*i**3 + 12*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 34 - 19. Let r = -2 - -2. Let k be -55*3*(-1 + r). Calculate the greatest common divisor of k and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 80*x - 207*x - 3 + 6*x as q + r*x and give r.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 + -1 + (117 - (-38 + 71)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16 + 22. Solve 2*v - b = -0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 - -11. Suppose 0 = -5*z - 4*p - 2, -25 = -5*z + l*p - p. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 3)*(-3*a + 5*a + 6*a)*(-33 - 28 + 11) + (0 + 1 + 1)*(-1 + 1 - a) - 2*a + a + 2*a - 2 - 2*a + 2 to the form w*a + c and give w.\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3.791+-801325.4431\nAnswer: -801321.6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - -2 - -23) + (540 - 559)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24975270 is divided by 8325084.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (11 - 14) + 4*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of y**6\/3 - 494*y**5 + 189725*y**4 + 2291540*y**3\/3 + 1148245*y**2 + 766322*y - 5685. Suppose o(r) = 0. What is r?\nAnswer: -1, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -33\/4110925?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 11, y: 1, c: 5}. What is prob of picking 1 e, 1 c, and 1 y?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the second derivative of 1\/21*g**2 + 41\/105*g**5 + 5*g + 17\/63*g**3 + 53\/315*g**6 + 29\/63*g**4 + 13\/441*g**7 - 5. Factor q(u).\nAnswer: 2*(u + 1)**4*(13*u + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 3112522 and 2.\nAnswer: 3112524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (-8)\/(-40) + 3714\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 17416 times 3\nAnswer: 52248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -9*l**2 + 58*l + 2. Let c(w) be the first derivative of -65*w**3\/3 + 405*w**2\/2 + 15*w - 66. Let f(y) = -2*c(y) + 15*q(y). Factor f(t).\nAnswer: -5*t*(t - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 + -13. Let q be (4\/(-20))\/((-4)\/w). Which is the nearest to 1? (a) 0.4 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/57)\/((-1)\/(9 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 716*a**3 + 783 - 508*a**3 - 7*a + 7*a wrt a.\nAnswer: 624*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the first derivative of u**5\/8 - u**4\/6 + 11*u**3\/3 + 29. Let q(f) be the third derivative of n(f). Differentiate q(z) wrt z.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m - 871. Let x(y) = y + 850. Give 2*i(d) + 3*x(d).\nAnswer: d + 808","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16 - 15. Let m be 4\/((8\/20)\/a). Suppose -3*s - 5*h + 4 = 0, -3*s + h - m = s. Put 5, s, 3 in ascending order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 63.8 - 65. What is the second biggest value in -5, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -7 + (-2 - -1) + 54 + -55.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7911011855\/3966 - 1994708. What is the common denominator of -95\/6 and o?\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16518 divided by 5?\nAnswer: 16518\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.18*0.07\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 150 = -2*s. Suppose -j + 4*f = -29, -5*f - 5 + s = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/((-8)\/24 - -2). Let l(b) = -b + 10. Let s be l(5). Suppose -2*q = 5*n + s, 0*q = -2*q - p*n + 1. Put q, -5, -4 in increasing order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 107 - 79. Calculate the highest common factor of 378 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -264*a. Let m(y) = 2*y**2 - 2*y - 2. Let r(q) = 4*q**2 - 5*q - 5. Let k(s) = 5*m(s) - 2*r(s). Give j(k(h)).\nAnswer: -528*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -37 divided by 1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -21\/2 (b) 162 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -119 - 108. Let h = t - -3404\/15. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 1.2, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 238 (base 11) to base 2\nAnswer: 100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 + 15*q**2 - 6*q + 1. Is x(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*l + 4571 - 2285 - 2286.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -35, 2, 61, 148, 269, 430, 637?\n\"Answer: i**3 + 5*i**2 + 15*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of q**8\/1064 - 17*q**7\/1995 + 37*q**6\/1140 - 13*q**5\/190 + 5*q**4\/57 - 4*q**3\/57 - 15*q**2. Find y, given that c(y) = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (32 + 9 + 1375*w - 1234*w)*(6*w**2 - 4*w**2 + 0*w**2).\nAnswer: 282*w**3 + 82*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -9.514, -32, 4, 4\/9, -4\/3, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -2*i + 3*u, 4*i = -2340*u + 2329*u - 32 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -80 + 149. Suppose -9*k = -15 + p. Is (-23 - -5)\/(1\/k) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72912 a multiple of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 106042 divided by 52?\nAnswer: 53021\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -462 - -c?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 383977 is divided by 54852.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 23436823343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.925 - 0.725. What is the second smallest value in s, -101, -1\/5, 3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 5067626*t. Let i(r) = 16*r**2. Give i(m(k)).\nAnswer: 410893332414016*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 166 a factor of 788987833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 6, l: 2, f: 9, o: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 135 - 91. Let u = 575 + 289. Suppose -28*m = -4*m - u. Calculate the least common multiple of n and m.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.05 - 0.45. Let u = 1 - 1. Let k = -9 - -6. Which is the closest to u? (a) k (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of -n**8\/48 - n**6\/120 - 23*n**5\/30 + n**3\/6 + 83*n**2. What is the third derivative of c(x) wrt x?\nAnswer: -420*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/4)\/((-127)\/254).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4180 - -9.117022\nAnswer: -4170.882978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2a2b - 4?\nAnswer: -2a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -1091*x**3 + 165*x**2 + 20*x - 7. Let s(b) = -545*b**3 + 83*b**2 + 8*b - 4. Let g(z) = -2*i(z) + 5*s(z). Find the third derivative of g(o) wrt o.\nAnswer: -3258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1b + -44951?\nAnswer: -44970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 117\/4000370 and 27\/4000370.\nAnswer: 4000370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p - 4. Suppose -2*o - 15 = 3*o. What is u(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 263836 and 568.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/59887340 and 63\/16.\nAnswer: 239549360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**3 + 3*s**2 + 2*s - 3. Let f be o(3). Let i(x) = 0*x + x - f*x. Let d(c) = 6 - 21 + 16 + 9 + 2*c - 19. Give d(i(t)).\nAnswer: -4*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11000100 + -12100?\nAnswer: -11012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5626 - -11338. Is 168 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35621626 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 63214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 10) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 275*l + 3499 - 1299 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 63, -1, -4.\nAnswer: -4, -1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x + 53 = -17*u, 3*x + 2*u + 2323 = 2324 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001045 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 172\/5 (b) -0.8 (c) 62 (d) -98 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + ((-153)\/(-4))\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3554917 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 21978*j + 28. Let s(a) = -5495*a - 6. Calculate -9*s(x) - 2*t(x).\nAnswer: 5499*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x + 9. Let p be h(7). What are the prime factors of ((-496)\/(-40))\/(p\/5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -23 - -23. Let r = 4 + -4. Solve r*x - 3*x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 805 = z + 5*r - 400, -r + 1225 = z. List the prime factors of z.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -188*g + 19. Let h = 14 - 17. What is the hundreds digit of v(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4604711393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14 + 2021301234?\nAnswer: 2021301303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290269 is divided by 15276.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wbwwbwywmyybwwmw. Give prob of picking 1 b and 2 w.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/(-6))\/3*-34*(-1)\/(-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 4, -350, -7, -2, -3 in ascending order.\nAnswer: -350, -7, -3, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3836000 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -11.3, -0.5, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*q + 987 = -69*q + 175 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.487 + -1.547. Let h = 0.5 + -0.7. Put g, h, 3\/2, -5 in descending order.\nAnswer: 3\/2, g, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:17 AM and 7:18 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-13)\/(208\/76) - (-1)\/(-4). Let i be -1*(-4 + 9 + t). Which is the fourth smallest value? (a) 2\/3 (b) 2\/9 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000173572201 rounded to 7 decimal places?\nAnswer: -0.0001736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 53*m - 2. Let h(f) = 6*f**2 + 9*f + 21. What is the remainder when o(2) is divided by h(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 50601, 1\/4, 5 in descending order.\nAnswer: 50601, 5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of 13*i**5\/6 + i**4\/2 - 19*i**3\/6 - 18*i**2. Is h(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u - 5*u + 2*u)*(3 - 2 + 1) + (-1 + 2 - 3)*(3 - 3 + u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uy when two letters picked without replacement from yuu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3821 + 84406 = 71*s. What are the prime factors of s?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -21 - -21.1. Let n = 44 + -45.2. Is a at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169412 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1199, -1200, -1191, -1166, -1119, -1044, -935?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 525 - 544. Let z(g) = 4*g - 4. Let n be z(2). Sort -2, -4, b, n.\nAnswer: b, -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 719*m - 157*m + 1686 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**3*u**2 + b**3*u + 32*b**3 - b**2*u + 15*b**2 + 21*b*u**2 - 3*u**2 wrt b?\nAnswer: 12*u**2 + 6*u + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -104*q - 4*q**2 - 18 - 80*q - 92*q + 252*q. What is m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 19*i. Let w(z) = -z - 3. Suppose 3*m + 3*b = 6, 3*b - 8 = -4*m - 1. Let v(q) = q + 1. Let j(p) = m*w(p) + 3*v(p). What is j(o(g))?\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -64020 - -63950. Suppose 3*c = -5*o - 360, -5*o + 5*c = -0*o + 320. Is o > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (9 + -22 - -5 - 2) - 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-35)*26*5\/12. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -1735*d**2 - 3*d + 3. Let y be i(-3). Let b be y\/(-4)*(-15)\/(-5715). Let q = 3\/254 + b. Which is greater: 11 or q?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 345*o = 624*o - 301676283. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 7*v. Let j(k) be the second derivative of 3*k**4\/4 - 72*k. Give j(g(q)).\nAnswer: 441*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + ((-7420)\/(-42))\/1 + 1\/3. Solve -6*r - x + 146 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 10, 87860, -107 in ascending order.\nAnswer: -107, 10, 87860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 - 2*z**2 + 12*z - 1. Give k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 6\/5, -0.3, -4, -17, -2\/95?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 10 = -2. Suppose -5*p + i = -6. Let j = -5 + 7. Solve -j = p*q - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, 1, 4 in decreasing order.\nAnswer: 4, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b*b**(-2\/7)*b))\/b**(-9))\/((b**(-5)*b)\/((b**(-2\/11)*b)\/b)) assuming b is positive.\nAnswer: b**(932\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4219304, -4219415, -4219710, -4220279, -4221212, -4222599, -4224530?\nAnswer: -4227095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 252 and 2100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -699ec0 (base 15) in base 11?\nAnswer: -2936901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 344 - 720. Let s = -139 - o. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -141*a + 73*a + 2920 = -28*a. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.1059 + -0.1059. Sort 9, f, -32.\nAnswer: -32, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 164 + -106. Suppose r = 5*o - n, 2*n - 68 = -5*o - 2*n. Suppose -o = -u + 17. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-12)\/(-10)*(-630)\/27. Let a = h + -30. Let f = 62 + a. Solve f = -3*y - 2*d, d + 12 = -6*y + 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 25678, 25681, 25684, 25687, 25690?\n\"Answer: 3*f + 25675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**2 - i + 20. Calculate p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 8456 = 41335*l - 41637*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find t such that -5*t**2\/4 + 14345*t\/2 + 83045475\/4 = 0.\nAnswer: -2115, 7853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -9*a + 22. Determine w(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 152009960 rounded to the nearest one million?\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-z**2 + 7 + 0*z**2 + 2*z**2)*(24*z + 546 - 13*z - 547) to the form b*z**3 + l*z + m + k*z**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -3*o**2 + 7*o - 1. Let a(n) = -26*n**2 + 4*n - 1. Let j(s) = -33*s**2 + s - 1. Let t(l) = 4*a(l) - 3*j(l). What is 4*t(i) - 7*z(i)?\nAnswer: i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 45 - -214?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -33 and -0.4.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -615 and 28180.\nAnswer: -17330700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -10628*t = 10614*t - 21279*t - 1147 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the second derivative of -t**4\/6 - 26*t**3 - 1521*t**2 + 2652*t. Let h(m) = 0. Calculate m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.57 less than 78?\nAnswer: 76.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 195 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6175 is divided by 2039?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (105\/14)\/15*(-8)\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21585*u - 6*u**3 + 43203*u - 21629*u.\nAnswer: -6*u**3 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 363667 is divided by 1838.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -34500 or -34497?\nAnswer: -34497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -108 = -5*j - 3*b + 28, 0 = 5*b + 15. Let p(t) = t**3 - 30*t**2 + 30*t - 24. Let k be p(j). Suppose -6*q = -5*q. Sort k, -1, q.\nAnswer: -1, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhbbbbbbbbhbbb. Give prob of picking 1 h and 1 b.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k**(2\/39)\/k))**(-10) assuming k is positive.\nAnswer: k**(-760\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56463 is divided by 64.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1817537 is divided by 908702?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -364 - 2*a**3 - 360 + 1088 - 362 - 19*a to the form p*a**2 + u*a**3 + k + o*a and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/18 + 254\/72)\/(805\/3220). Solve 32*x - 29*x = -w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1586777, -1586762, -1586731, -1586678, -1586597, -1586482, -1586327?\n\"Answer: f**3 + 2*f**2 + 2*f - 1586782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 0*h**2 - 2 - h**4 - 2*h**2 + 3*h**2 - h**3 - h**4 in the form g + t*h**3 + b*h**2 + q*h + f*h**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 797 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -102959 (base 10) in base 13?\nAnswer: -37b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5498093?\nAnswer: 1723, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {w: 1, a: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 0)\/((-5)\/10*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -568.5 * 0.3\nAnswer: -170.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -551*a. Let r(k) = -k**2 + 7*k + 14. Let l(y) = y**2 - 6*y - 12. Let c(o) = -7*l(o) - 6*r(o). Give x(c(v)).\nAnswer: 551*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 115 = 211. Let s = i - 14. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*m**3 - 40184*m**2 + 33573632*m + 112359040.\nAnswer: 4*(m - 1676)**2*(3*m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 3 + 4)*(-2*u**3 + 4*u**3 - 3*u**3) + 3*u - 3*u - u**3 + u**3 - 2*u**3 + 3*u**3)*(-85 + 3 + 19).\nAnswer: 63*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 - 3*z**2 + 2*z - 4. Let k be j(3). Let a(v) = -4 + v + 3 + k. Let i(h) = -h. What is -2*a(p) - 3*i(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 545490 * -4\nAnswer: -2181960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 PM and 7:37 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 plus -17317596?\nAnswer: -17317596.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (18 + -17 + 6 - 77) + (5 - 4) + 5\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12 + 28. Suppose -q + 3*y = o, -q = -y - y + 12. What are the prime factors of 3 + -1 + (1 - q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.386 take away -40?\nAnswer: 38.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 64*g**2 + 2*g - 3. Suppose 0 = 5*j - 2*u - 1868, -5*j + 1874 = 11*u - 7*u. Calculate the remainder when j is divided by p(1).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-5580)\/(-160))\/31)\/((-6)\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(3\/8)*m*m\/m**(-6))\/(m**(-12)*m*m*(m**(4\/5)*m)\/m))**(-39) assuming m is positive.\nAnswer: m**(-27417\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/((t\/(t\/(t**3*t)))\/t))**16)**(21\/5) assuming t is positive.\nAnswer: t**(-672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.18 + 0.08. Let o = 1.2 - 0.2. Put o, d, 1\/7 in descending order.\nAnswer: o, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -55240*n + 72 + 55240*n + 1067*n**2 wrt n.\nAnswer: 2134*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2149 is divided by 514?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004619747 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -442.6 - -445.6. Which is the closest to 2? (a) -4 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53669 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -390952 or -390954?\nAnswer: -390954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 13 + -e7d?\nAnswer: -e6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 3465, 1, 4 in descending order.\nAnswer: 3465, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yoodoooooyyocoyyc. Give prob of picking 3 y and 1 d.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 + 7*q**2 - 10*q - 6. What is b(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rzzo when four letters picked without replacement from {z: 7, o: 2, r: 4, i: 5}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -7*r**3 + 10*r**2 - 6. Let x(v) = 2*v**3 - 1. Let a(l) = 12*l**3 - 29*l**2 + 21. Let j(g) = a(g) + 4*x(g). What is 6*j(b) + 17*t(b)?\nAnswer: b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -65165, -65193, -65221, -65249?\n\"Answer: -28*b - 65137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**5 - 7*x**4 - x**5 - 13*x**2 + 4*x + 4268*x**3 - 4253*x**3.\nAnswer: x*(x - 4)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 5276*b**2 + b - 2. Let r(t) = -t + 3*t - 7 - 3*t + 2*t. Let m be r(5). Let i be y(m). Round i to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70482983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 346\/(-34) - ((-203)\/21 - (-6)\/(-18))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 40*1*54\/8. Let j = r - 149. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 242824, 971217, 2185200, 3884773?\nAnswer: 6069936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -6669363, -0.3 in decreasing order.\nAnswer: -0.3, -3, -6669363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) -185.7 (c) 0.5 (d) 1\/10 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (450\/120)\/(-5*(-7)\/(-168))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 3*v = -2*w - 116, -2*w = -4. Suppose 3*y - 3*r - 21 = 0, 5*y + 4*r + r - 35 = 0. What is the remainder when v is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(120)*-2)\/sqrt(6).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 24788*y - 149355. Determine m(6).\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1, 0.2, -2, -0.07.\nAnswer: -2, -1, -0.07, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -6937, -13885, -20831, -27775, -34717, -41657, -48595?\n\"Answer: f**2 - 6951*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 12 = -0*u. Suppose -6 = -u*v - 0. Solve -c - v*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141425 is divided by 141415.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -0.2, -0.12, -1078451 in decreasing order.\nAnswer: 4, -0.12, -0.2, -1078451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -36795500 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be -15 - -16 - (0 - 1). Suppose -4*q = -v - 1, 2*q + 4 = -0*v + j*v. Suppose v = -2*y + 11. Solve -w - y = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1905320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = f - 8. Suppose 16 = -4*o - 4, 0 = 2*d + 2*o + f. Solve 5*i + d*w - w = -11, 3*w = -4*i - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -131*k - 8162 = 4*k + 102*k - 2474 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 82 - 20. Suppose 3*h + t - 71 = 0. Suppose 0 = -c + 3*c - 2*w - 1966, 5*w - 2917 = -h*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105549151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1445 = -16*n + 11*n. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 270 - 65. Suppose 4*n = 5*n - o. Calculate the remainder when n is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22146993 divided by 297?\nAnswer: -74569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2725763 + 8930738\nAnswer: 11656501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 27 = 5*f, 2*b = 4*b - 2*f - 12. Suppose -2*c - 12 = -7*c - h, 0 = -c + b*h + 12. Let m(i) = -1 + 1 - c*i. Let s(u) = u**2. Calculate m(s(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**2 + 5*p + 8. Let h be a(6). Let v be ((-1)\/h)\/((-1)\/12). Let d = -12 + 15. What is the greatest common divisor of d and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-4 - ((-6 - 1) + 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -2*b**2 - 14*b - 8. Calculate the remainder when 13 is divided by p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 24*z**3 - z**2 - 2*z + 1. Let j(m) = m**3 - m**2 - m + 1. Give j(n) - q(n).\nAnswer: -23*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**3 - 12*p**2 + 2*p + 26. Let y be i(-12). Let v(b) = -36*b**2 + 67*b**2 + 3*b - 33*b**2 - y*b**3. Let l be v(1). Which is smaller: -2\/161 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -14*l**3 - 6*l**3 - 208*l - 4*l**2 + 202*l in the form c*l**3 + p*l**2 + b*l + t and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d. Let l(f) = 8*f + 1. Let s(z) = -7*z - 1. Let g(r) = 5*l(r) + 6*s(r). Let p = -1643 - -1644. What is p*t(m) + g(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be 19*(-3)\/5*195\/(-117). What is the greatest common divisor of 1254 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.43, -4, 0.107?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3463, 6926, 10391, 13864, 17351, 20858?\nAnswer: 24391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h**3 - 636 - 446*h**2 + 636.\nAnswer: -h**3 - 446*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of 0*j**4 - 8*j**2 + 0 + 0*j**3 - 2\/105*j**7 - 4\/15*j**5 + 0*j + 0*j**6. What is the third derivative of a(w) wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -97\/60352 and -11\/5750.\nAnswer: 7544000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.0544164 + -68.\nAnswer: -70.0544164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 + 31*a**2 - 24*a + 254. Give i(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 2 g, and 1 p when four letters picked without replacement from {c: 2, p: 1, n: 2, g: 9}.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 615.9033ml to litres.\nAnswer: 0.6159033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0*v**3 - 10 + 4 - 5*v**3.\nAnswer: -5*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 - -8. Let p(s) = -s**3 - 9*s**2 + 10*s. Let x be p(h). Solve 0*v + 3*v = 5*n + 8, -4*v + 4*n = x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4839 times 1.01086?\nAnswer: 4891.55154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 5*v + 54, -5*h + 3287*v = 3285*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 26 - 54. Let b = 5073 + -5040. Let v = b + p. Solve 4 = -v*f + 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -996, -2037, -3122, -4257, -5448, -6701, -8022, -9417?\n\"Answer: -p**3 - 16*p**2 - 986*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pvpvmmpp. Give prob of picking 1 v and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes before 5:37 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from melmmyemykbbmmekbm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -5*v**2 + 2*v - 5. Let r(h) = -13*h**2 + 6*h - 14. Determine -11*k(y) + 4*r(y).\nAnswer: 3*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:38 AM and 4:24 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 382 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (995*i**5 + 1815 - 1815)*(-3 + 4 + 13).\nAnswer: 13930*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 97371589*m**5 + m**4*p + 4*m**2*p - 2132*m**2 + 4289 wrt m.\nAnswer: 5842295340*m**2 + 24*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 68317.515 hours to weeks.\nAnswer: 406.651875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37 - (17 + -37 - (-15 + 0 + 2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 83 (base 15) to base 14\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13 + 12.967. What is s rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16848319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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 nearest to -1\/4 in -0.5, -118\/5, 2\/35, 5\/256?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/7 - 330\/(-21). Suppose q + p = 3*q. What is the units digit of 4\/1*4\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kqfq when four letters picked without replacement from {f: 2, u: 1, k: 1, q: 2, l: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + -2)*(3 + -2). Suppose 5*b + 6 - 26 = z. Solve b*x + 6 = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*f + 7 + 60 + 45 + 43 - 9 - 10*f.\nAnswer: f + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 1476*i. Let v(p) = 151055*p. What is o(v(y))?\nAnswer: 222957180*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + -2 + (139 - 4). Suppose -2*c - 2*c + 112 = 3*x, 4*x + c - d = 0. Calculate the lowest common multiple of x and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6913727 is divided by 62852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2 + p + 1. Let t be v(0). Let f be 0\/(-2*t\/2). Let k(q) be the third derivative of q**4\/24 + 5*q**3\/3 + q**2. Determine k(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2*(3 - 7))\/(3\/33). Calculate the highest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1553 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 137 + -213 - (-60 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes after 1:14 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 + 2 + -2 + 2. Suppose h*r - 3 = 5*r. Let t be (-9 - r)\/((-3)\/6). Solve t = 5*j + 4*a, -5*a = -7*j + 3*j + 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 279 = s + 38, 5*q - 20 = 0. Calculate the smallest common multiple of 6 and s.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -52*y - 2. Let a(n) = -103*n - 4. Let o(j) = -3*a(j) + 5*c(j). What are the prime factors of o(1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - -5. Let r = z + 3. Find the second derivative of 2*f**4 - r + 0*f - f + 2 wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 12) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16191?\nAnswer: 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the second derivative of 16*i**5\/25 + 8*i**4\/3 + 34*i**3\/15 + 4*i**2\/5 - 5*i. Factor q(v).\nAnswer: 4*(v + 2)*(4*v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**2 + 6*i + 8. Let t be f(-5). Solve -3 = -2*n + 6*w - t*w, 0 = 4*n - w - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(1\/(-8)*-2). Find the first derivative of -v*k**3 + 3*k + 2*k - 4 - 5*k wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b. Let f(y) = -18*y - 11. Let d(n) = -f(n) - 2*t(n). Is d(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - 8150?\nAnswer: -8151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*x**2 - 3379416*x - 6758848.\nAnswer: 4*(x - 844856)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 14 = 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-175031 + 88296 + 87783)*(-2 + 2*h + 2 + (-4 + 5 + 2)*(3*h - 2*h + 0*h)).\nAnswer: 5240*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 49580 by 207.\nAnswer: 49580\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -517*k**3 - 536*k**3 + 1037*k**3.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34533\/5 - 6905. Determine g so that 6*g + 8\/5 - q*g**2 = 0.\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67343*k - 33672*k - 2*k**3 - 7*k**2 - 12*k**2 + 4*k**3 - 33671*k.\nAnswer: 2*k**3 - 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 21\/73295 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 4*w + 8 = -3*t, 5*w = -t - 9. Let l = t + 4. Is l at least -1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 288*u + 3*n + 3 = 290*u, -5*n = -4*u + 5. Solve u = -2*o + 5*a - 10*a - 10, 0 = o - 5*a + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 3\/7 (c) 1\/6 (d) 0.06 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-783)\/(-12))\/((-27)\/132 + 222\/(-407)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14 - -22. Let m(v) = v + 4. Let c be m(-1). What is the third derivative of -9*i**2 - 47*i**c + 47*i**3 + j*i**5 wrt i?\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/6)\/(60\/2080*13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1041 + 227?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 65657*c*l + 42033*l wrt c.\nAnswer: 65657*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 14.8 (b) 9 (c) 67.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 3*v + 40. Let j be p(-12). Let k be (2\/j)\/(8\/(-48)). Let m be (-23 - (-1 - (1 + k)))\/(-1). What is the highest common factor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 419, 461, 503, 545, 587, 629?\n\"Answer: 42*l + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1611\/231 + (7 - (8 - 84\/(-14))).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*b - 2*b + 13*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 1339 by -103.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6*-0.949.\nAnswer: -0.5694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -209*d**3 + 988*d**3 - 777*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52 - 52 - 10*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4761 - -58239. What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*l**5 + 155*l**4 + 820*l**3 + 1550*l**2 + 250*l - 625 = 0. Calculate l.\nAnswer: -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -11.271+105401045\nAnswer: 105401033.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3761.97 + 3762. Sort -9, 0, 0.1, 0.4, z.\nAnswer: -9, 0, z, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32299403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29 - -365. Let o = -124 + t. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 103888.\nAnswer: 103888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1870 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 18 + 4*p - p - p. Suppose -5*t + 50 = 10. List the prime factors of g(t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -75640 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/(-6)*-5*((-68796)\/405)\/49.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 4*q**2\/3 + 19123488*q + 68570211241152 = 0.\nAnswer: -7171308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -10*k + 9. Let b(a) = 32 - 29 - 2*a - a. Let m(y) = 7*b(y) - 2*f(y). What is the tens digit of m(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0\/(-3 + 6 + -2). Let t be (j - -8) + (-12)\/4. Suppose 2*r - t*a - 69 = 97, 0 = -2*r + a + 150. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19.86 - 19.36. Put 3, 0.343, f in descending order.\nAnswer: 3, f, 0.343","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from msrhggg. What is prob of picking 3 g and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -13*k**3 - 54*k**2 + 10*k. Let h be t(-6). What is the greatest common divisor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ouoooooouuoooooooou. Give prob of sequence uooo.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**3 - 52660*p**2 - 16303665*p.\nAnswer: 5*p*(p - 10833)*(p + 301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 81 - -5?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*w + 99 = -113*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.35 and -1.36814.\nAnswer: -1.01814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 185*v**2 + 17*v + 83. Suppose -3*b - 18 = -q, -2*q = 41*b - 43*b - 8. Is u(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6943474 or 6943477?\nAnswer: 6943474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -89, -70, -37, 16, 95, 206, 355?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 448 divide 300353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 36403913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1371, -796, 455, 2718, 6329?\nAnswer: 11624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h. Let l(n) = -2*n. Let p be l(1). Let j be 2 + 12\/(-1 + p). Give x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 82759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be 10\/35 + (-24)\/(-14). Let l(o) = o**2 - 3*o**2 - 6*o + 3*o**d. Let v be l(5). Sort -1, v, 3 in decreasing order.\nAnswer: 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21799 is divided by 10295.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 2\/7, -0.1, -3 in descending order.\nAnswer: 2\/7, -0.1, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 4 + -2 + (3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes after 5:08 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 - 12*j**2 + 14*j + 15. Let c be t(-13). Solve c = 3*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0 (b) 3 (c) 2 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(-4) + (-309)\/(-12). Suppose -5*y - o = 4. Does 3 divide 22\/3 + y\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(13\/(-6))*(-96)\/144\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + 56516?\nAnswer: 56521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 PM and 10:43 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 39881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20128 - -20194. Solve -b*q - 119 - 145 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/1380874840 and 19\/22.\nAnswer: 15189623240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -621, -641, -687, -771, -905, -1101, -1371?\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the second derivative of -q**3\/6 - 7*q**2\/2 - 3*q. Let g be d(-10). Calculate the highest common divisor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -130122 (base 4) to base 5\nAnswer: -24233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 753 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -192745898.2206 and -9?\nAnswer: 192745889.2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -514.2473 + 54.1133. Let d = n - -460. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*k + 55. Let p = k + 46. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**3 + 6*l**2 - l - 2. Let y be q(5). Suppose c - y = -c. Suppose 0 = 2*d - 5*p - 23, -3*p + c = -4*d - 4*p. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*c**2 + 13394972*c + 41 - 13394972*c.\nAnswer: -24*c**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z + 5*k - 23, 0 = -5*z + k + 5. Let y be 1 + 3\/(1 + z). Suppose -y*j = -3*j + 26. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8931 is divided by 308.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 3914136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 570987.6*-226.\nAnswer: -129043197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 15, 3, 0 in decreasing order.\nAnswer: 15, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o**3 - 20*o**2 - 22*o - 70. Let w be m(-10). What is w rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 - 6*u**2 - 2*u - 4. Let v(w) = 2*w**3 + 11*w**2 + 3*w + 7. What is -10*g(j) - 6*v(j)?\nAnswer: -2*j**3 - 6*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*k - 28 = -8*k. Let f = -22\/3 - k. Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -574 divided by 14\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -91 + 91 - m**2 - 2*m**2 + 3*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 - 4*h + 2)*(0*h + 0*h - 2*h).\nAnswer: 8*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 8:42 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, w: 3}. Give prob of picking 3 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n + 5. Suppose -4*r = -7*r. Suppose -5*t - i + 41 = -0*i, r = 2*t + 4*i - 20. Let f = 3 - t. Calculate z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -244578 divided by 6.\nAnswer: -40763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 767 and 708.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 3 - 3*x)*(-1 + x + 1) - 2*x**2 + 0*x**2 + 0*x**2 to s*x**2 + c + l*x and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 3804 = 4*i, 4*i - 4*r = 5*i - 945. Let u = -970 + i. Let g = -2.98 - 0.02. Which is the nearest to -0.2? (a) 0.5 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -67*a + 1292. Calculate the remainder when i(17) is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l - 2*l = 5. Let m = -76 - -75. Sort l, m, 2\/9 in decreasing order.\nAnswer: l, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15 and 549.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -945857.71+-13943\nAnswer: -959800.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 44*x**2 - 13*x - 5. Let d(h) = -84*h**2 + 26*h + 11. Determine -2*d(s) - 5*m(s).\nAnswer: -52*s**2 + 13*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -8\/13*f**2 + 898\/13 - 3590\/13*f = 0 for f.\nAnswer: -449, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -177\/851?\nAnswer: -177\/851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4262883 and 447978?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/6767 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/3, -7, 37, 5, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2658 is divided by 661?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 280 and 27755?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4443476?\nAnswer: 2, 127, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 274296890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 896 - -565. What are the prime factors of z?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 + -13.16.\nAnswer: -12.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 4421.053845 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:25 PM and 12:37 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 8) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 1)\/(-6)*4\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 0.5, 2\/5, 0.049, 2 in decreasing order.\nAnswer: 2, 0.5, 2\/5, 0.2, 0.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-24)\/72 - 633\/(-1890). Let t(k) be the third derivative of -7*k**2 - 1\/60*k**5 + 0*k**4 - m*k**7 - 1\/90*k**6 + 0 + 0*k + 0*k**3. Factor t(g).\nAnswer: -g**2*(g + 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7277457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 3*r + 10 = 0. Suppose 0*i = -i - r. Sort -1, i, 0, -7 in ascending order.\nAnswer: -7, i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(-2)*(-6 + 6). Solve z = -q + 1 - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 125382.\nAnswer: 2, 3, 20897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -610*g - 1096*g + 1 - 1 - g - 2*g + 4*g + (1 - 1 + g)*(2 - 4 + 6).\nAnswer: -1701*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -53556 - -409?\nAnswer: -53147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -4*l + 372, 7*l - 271 = 4*l + f. Suppose -94 - l = -3*s. Let t = s + 4. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -4. Suppose 5*j + u*i - 19 = -0*j, 0 = -3*j + 2*i + 21. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -437*d - 13 = 3*j - 435*d, 5 = -3*j + 2*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - r**2 + r - 2. Calculate i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-16))\/(2\/12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 - -208989.132.\nAnswer: 208997.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -145334827*m**3 - 55345*m**2 - 50.\nAnswer: -872008962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -504 - 33303?\nAnswer: -34211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(605)*-3*-1.\nAnswer: 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, 41, 0.3, -10, 0.06, -137?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 2 - 2)*(3 + 2*s - 3) - 179*s + 82*s + 90*s)*(2*s - 2*s - 2*s**2).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 - -15. Let p be 2\/w - 1185\/(-135). Let o be ((-4)\/3)\/(3\/p). Is -4 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -59364748632.\nAnswer: -59364748618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -7. Let w = -2.11 - -0.01. Let l = 2.2 + w. Which is the nearest to l? (a) 0.2 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.289997 + 0.29. Round i to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54, 109, 164, 219, 274, 329?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 + 162*z**2 - 3856*z - 272. Determine p(133).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 139382943 to the power of 1\/3, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 891491.\nAnswer: 891491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 7920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 356, 34, -494, -1222, -2144, -3254, -4546?\n\"Answer: g**3 - 109*g**2 - 2*g + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -3*r. Let n(f) be the third derivative of 9*f**2 + 0*f + 0 - 5\/24*f**4 + 0*f**3. Give y(n(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -12*s**3 + s**2. Let i be a(-1). Let c = 8 - i. Let w be (-13)\/(-5) - 2\/c. Solve -w = -g + m, 4*g + 2 - 15 = 3*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the second derivative of -p**8\/20160 + p**7\/3780 - 235*p**4\/12 + 27*p. Let b(v) be the third derivative of l(v). Factor b(c).\nAnswer: -c**2*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 + 0. Suppose -m - m = -z. Suppose 3 + 0 = -m*o + 2*d, 3*o = -5*d + 23. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - ((0 - (2 + 1)) + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -4 (c) -2\/7 (d) 0.2 (e) 7\/3 (f) 50196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + (-7)\/(35\/(-20)). Let c(s) = -3*s**3 - 5*s**2 + 5*s - 5. Let v(l) = -4*l**3 - 8*l**2 + 8*l - 8. What is j*c(y) - 5*v(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-3*(sqrt(10) + sqrt(10)*-1*4))\/(sqrt(10)\/(sqrt(25)\/sqrt(5)) - -5*sqrt(72)).\nAnswer: 18*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2709034987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*0.712.\nAnswer: 0.2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11479 + 11487. Factor 2\/3*y**3 + 32*y - v*y**2 - 128\/3.\nAnswer: 2*(y - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6062.\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -454*c**5 - 14*c**2 - 76801*c.\nAnswer: -9080*c**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 5*m = 36, l - 2*m - 2 = 6. Calculate the remainder when 63 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -3*n - n. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 329472104 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: Suppose -t = -0*t - 75. Suppose -3*d = 2*d - t. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.06 + 2. Let f = 4.06 + j. Let y = -8.4 + 8.2. Which is the closest to -0.1? (a) 0.4 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b + 8. Suppose -f - r = 13, 2*f + 21 = 9*r - 10*r. Let k be p(f). Suppose -9*g = -k*g - 972. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 916334880.\nAnswer: 2, 3, 5, 67, 28493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/9)\/(3\/3*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(3\/2)\/b*b**(-4\/3)\/b*b**2\/b*b\/b**(-2\/11)*(b*b**(-6))\/(b\/b**(-4)*b*b)*b*b\/((b*(b**(-4)*b)\/b)\/b*b)*b\/((b\/b**(5\/4))\/b)*b assuming b is positive.\nAnswer: b**(-449\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 - 14 = -8*u - 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*o - 61*o + 19*o)*(3 - 3 + 2).\nAnswer: -94*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -119 - -128. Solve 3*v + 12 = v + 2*p, 3*p = r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21695783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 122*c**5 + 163*c**3 + c**2 + 421*c + 654 wrt c.\nAnswer: 2440*c**3 + 978*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 - -5. Suppose -28 - 59 = 24*f - 39. Put i, -0.05, f in decreasing order.\nAnswer: -0.05, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4608498432 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*a - 132 = -31*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(-2) + 1\/(2\/16). Let y be 104\/18 + 2 + 4\/18. Suppose 2*g - n = y, 2*n + 2*n = 4*g - 24. Solve -v*f + g*f + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1431769086 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and -481490?\nAnswer: -1444470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 654 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 6:45 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, -188097, 9?\nAnswer: -188097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 62020.\nAnswer: -18606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 82904 or 82905?\nAnswer: 82905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2403 + 2348. Sort -0.4, 3\/8, b in decreasing order.\nAnswer: 3\/8, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -156*t + 9. Let j be h(-2). Suppose -4*m - 271 = j. Let u = m + 292. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-14 + 2771\/204)*2\/(-5). Sort d, -35\/2, 11, 2\/9.\nAnswer: -35\/2, d, 2\/9, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + -3*(-2 + (1 - -2)). Let r(h) = 6*h**3 + h**2 - 1. Give r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 5*t**3\/6 + 18970*t**2\/3 - 120478150*t\/3 + 146620682000\/3 = 0.\nAnswer: -12008, 2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.112 (b) 1.6 (c) -2389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 1:56 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 3 = -3*o. Suppose -5 = b - 1, o*p - 5*b + 4 = 0. Let u(a) = a**3 + 10*a**2 - 4*a - 11. Is u(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/6 - (18\/(-4) + 5). Is 3 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, -7, -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 + 8. Suppose -o*p = -19 - 14. Calculate the smallest common multiple of 5 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 12*u**5 + 6824*u**4 - 106832*u**3 + 363832*u**2 - 340924*u + 77088 = 0.\nAnswer: -584, 1\/3, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvr when three letters picked without replacement from {n: 1, r: 1, v: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -12*f - 39. Calculate the remainder when o(-5) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 + 6\/14 + (-1786)\/(-14). Let f be ((-1)\/(-3))\/((-15)\/5725). Let y = f + w. Which is the closest to 0? (a) -1 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-112)\/1904*17\/(-2)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 - 5*v**2 + 12. Let p(b) = b**2 + 1. Determine -k(m) - 3*p(m).\nAnswer: m**3 + 2*m**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**2 + 3*h + 2. Let m be i(-3). What is the first derivative of c**2 - 6*c**2 + 5 - 2*c**m + 0*c**2 wrt c?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 280782 is divided by 117?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a2 - -4?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 33*g - 5. Let h be x(1). Suppose h*n = 23*n - 19500000. Round n to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.49545 to two dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 147 divide 118517280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 39974 divided by 19987?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 797, 2404, 4313, 6512, 8989, 11732?\nAnswer: 14729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.16927*3499.\nAnswer: 592.27573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 49420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 662.8399 + 0.1601. Let r = 666.252 - i. What is r rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 21062955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 101100022011210 (base 3) to base 9\nAnswer: 11308153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -140460 + -35?\nAnswer: -140515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 16112475427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i*i*(i\/i**(2\/5))\/i*i)\/i*i)**(-14\/3))**6 assuming i is positive.\nAnswer: i**(-504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8501, 16993, 25485?\nAnswer: 33977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23409\/13 - 1803. Is -1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 5*g + 44. Let a be s(9). Let o be (-4)\/10 - 2\/(-5). Suppose -a*q + 87*q + 6 = o. Solve -l + 5*j = -28, 4*l + 0 + q = -3*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -b - 7 - 15, 4*u - 22 = 5*b. Let n = -7 + u. Does 3\/2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of (-4 - -10)\/((-3)\/(-224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18 in 3\/4, 3, -99\/5, -0.2, 2\/3?\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (4\/6)\/((-8)\/(-1020))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 20655632 by -4.\nAnswer: -5163908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 19aa40806 - 2?\nAnswer: 19aa40804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3420 and 72770.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2)*w**4)**(4\/9)\/((w*w*w**(-1))**(6\/11)\/((w*w\/w**1)\/(w\/((w\/w**2)\/w)))) assuming w is positive.\nAnswer: w**(-164\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be 100\/3*(10 - 13). What are the prime factors of (12 + -19)*m\/14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o. Let c(y) = 1134*y**2 - 413*y. Determine t(c(k)).\nAnswer: 1134*k**2 - 413*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 83.144703482 and -589.4?\nAnswer: 672.544703482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*b*x**3*z**3 - 23418*b*x**3*z**2 + 6*b*x**2*z**3 + b*x**2*z**2 + 2*b*x*z + 262*x*z**3 + x*z**2 wrt x?\nAnswer: 18*b*z**3 - 140508*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*u - u. Let s be ((-56)\/(-70) + 814\/(-680))\/(882\/(-112) - -8). Do s and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 29*f**4 + 1 + 10*f**3 + 38*f**4 + 22*f**3 - 2*f - 86*f**4 in the form w*f**4 + p*f**3 + y*f + b*f**2 + t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 6 = 31. Suppose q*n = 2*n + 474. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2003\/90 + 19\/45. What is the common denominator of -1 + -2 + 294\/24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 135334465?\nAnswer: 5, 7, 149, 25951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-85)\/(-20))\/((2 - 3)\/(-4)). Suppose -15 = -8*a + g. Suppose 0*t - t = -10. What is the least common multiple of a and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1197980?\nAnswer: 2, 5, 7, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**3. Let d(g) = 4*g**3 + 12*g**2 + 40*g. Let z be (-10 - -4) + 8 - (-1)\/(-1). Let i(p) = z*d(p) - 8*b(p). Find q, given that i(q) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 5*p - 1881 = 0, 6*p - 10*p + 1881 = 3*b. What are the prime factors of b?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-seven quarters of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -3\/7, -0.5, 8, -6\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 + 13. Suppose 4*r = -4*o + 72, -10 - m = -5*o. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 9*o. Let k(b) = 12*b**2 - 45*b**2 - 125 - 15*b**2 + 125. What is k(s(h))?\nAnswer: -3888*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 168 = 18*f + 3*f. Let m(v) be the first derivative of -v**3\/3 + 5*v**2 + 3*v + 1. List the prime factors of m(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 510*x - 515*x + 51325 = 0. Is x a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -147.01 - -150. Let o = -296.99 + i. Does o = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -2*s**3 - 3*s**2 - 3*s - 2. Let h = 3 - 8. Let j = 11 + h. Calculate the smallest common multiple of j and x(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + f - 3*f = -384, 3*x = f - 230. Let q = -23 - x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 183 + -108. Let b = 81 - n. Calculate the lowest common multiple of b and (-1)\/(-4) - (-261)\/12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42071\/19 - -2215. Is 2 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1032 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11574539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 798 divided by -6?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5*(2 + 4 + (2 - -9)). Which is bigger: 105 or k?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9969\/75644 - -1466855021\/297432208. Let i be (-5895)\/(-2949) - (-2 - -4). Let j = z + i. What is the common denominator of -26\/3 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-5))\/(12325\/2588250)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/3))**24\/(o**4)**14 assuming o is positive.\nAnswer: o**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 6*o**3 - 20*o**2 - 11*o**3 + 3*o**3 + 9 - 7 in the form v*o**3 + h*o**2 + l*o + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -119\/3224?\nAnswer: -119\/3224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 29*o**2 + 3*o - 3 - 2*o**4 + o**3 - 29*o**2 in the form w*o**4 + p*o**3 + v + f*o + c*o**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 + 9*n**2 - 9*n + 5. Let s be u(5). Let x = -32 + s. Solve 3*h = -5*i + x, 0*i - 14 = -4*h - 2*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/(-110))\/((-12)\/(-16)). Let r = -8\/55 + s. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.0173 and -27.6035?\nAnswer: -0.47754055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-1\/5)\/q)\/(((q**(-2\/3)\/q)\/q)\/q))\/(q**(3\/2)\/q**(-2))*(q*q**0)**(26\/5)*(q*q\/q**0*q)\/q**(1\/3) assuming q is positive.\nAnswer: q**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*n**2 - 2*n**2 - 2*n**2 + (-67*n - 122*n - 70*n + (5 - 4 - 3)*(-n - 5*n + 4*n))*(194*n + 65 - 65).\nAnswer: -49471*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -292*d**3 + 11108*d**2 + 144*d**3 + 145*d**3.\nAnswer: -3*d**3 + 11108*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mpmppm. Give prob of picking 2 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 13262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-2) - (2 - 1). Let z = v + 0. Let u = 619 + -4329\/7. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 7*j**2. Let s(u) = -22*u - 29. Let g(f) = -f + 4. Let n(h) = 7*g(h) + s(h). Calculate p(n(x)).\nAnswer: 5887*x**2 + 406*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.32*2.478\nAnswer: 0.79296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63898.\nAnswer: 2, 43, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30747 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 12875267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28043919 is divided by 9347969.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.4 - -0.2. Let l = x - 0.8. Which is the second biggest value? (a) l (b) 1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 276 divide 180175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 21379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-6) + (101\/(-100) - (31640\/210)\/113)?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 - 3*z + 1. Let p be i(-3). Suppose -3*w + 5*d + 34 = 6*d, -3*w + 10 = -5*d. Let x be (7 - w)\/(21\/(-2)). What is the closest to x in 2\/3, p, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 - 29*t**2 - 54*t + 6. Let x be j(-27). Solve -5*u = -3*u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d + 16. Let h be q(11). Suppose 0 = -3*k + h + 67. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 11*q**2 - q + 1. Let j be z(1). Let p be 15 + ((-25)\/2)\/((-955)\/382). Solve 3*m - v + 0 = j, 0 = -5*v + p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*h**2 + 3 + h**4 - 1 + 5*h - h - h in the form c*h**4 + v + m*h**2 + k*h + u*h**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7067 = 21*k + 21682. Which is greater: -1368 or k?\nAnswer: -1368","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1705, -3411, -5127, -6847, -8565, -10275, -11971?\n\"Answer: q**3 - 11*q**2 - 1680*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/(-2))\/((-5)\/(-50)). Let j(r) = 18*r**2 + 687*r + 117. Let k be j(-38). Sort 2, k, z.\nAnswer: z, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -748012, 1\/6, -1\/2 in decreasing order.\nAnswer: 1\/6, -1\/2, -748012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d + 5. Let p be i(-4). Let z = -112.6 - -41.9. Let h = -75.7 - z. What is the smallest value in h, p, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h - 1. Let u(z) = -16*z + 2*z + 4 + 8. Let x(b) = 12*o(b) + u(b). Let w(r) = -2*r**2. Give w(x(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 455 and 207521041?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-3 + (sqrt(162) + -1 - sqrt(162)))**2 + (2*(sqrt(8) + sqrt(72)))\/(sqrt(144) + (sqrt(144) - -2*sqrt(144))).\nAnswer: sqrt(2)\/3 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is 29421 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39334 is divided by 339.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 384491.\nAnswer: 23, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z**2 - z - 1. Suppose 0 = -5*c - 4 - 1. Let p be l(c). Let h = -143 + 143. Solve h = 5*q, p*a - 6*a - 16 = 3*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (288\/4992)\/((-48)\/520).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 - 9. Let s = -1 - b. Let c = s - -12. What is the smallest common multiple of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -3*l**3 + 2460*l**2 - 4908*l = 0.\nAnswer: 0, 2, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 5*r - 2*a - 20 = 0, 5*a = -4*r + 6. Suppose -r*q + 6748 = -15972. Suppose 7*t - q + 297 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f - 3 = -2*f - d - 65, -2*f - 3*d = 26 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 59771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -36018 - -36018.4. Which is the third smallest value? (a) l (b) -4 (c) 1\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 4, q: 5, j: 8}. Give prob of picking 2 b and 1 j.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {j: 1, k: 1, w: 1, t: 1, d: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 708 minutes after 3:46 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p - 8. Let q be j(-4). Solve 0 = x - 5*x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence asav when four letters picked without replacement from vaddvvddvvusvavv.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i - 3*t + 6 - 0, 0 = 4*i - 3*t + 20. What is the nearest to 3 in -0.3, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1435\/6 + -239. Let w = 388 - 2717\/7. Sort w, 1\/4, -6, r.\nAnswer: -6, w, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54728837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8.87 - 11.87. Let m = 0.3 - 0.2. Suppose 0 = 2*n - 0*n. Which is the closest to m? (a) n (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 86*c - 339. Let h be a(4). Solve 3*l = 3*n + 3, h*n - 10*l + 17 = -11*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 23 + -27 - (1 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 86920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from rxxoxojpx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(2*(21\/7)\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8129168?\nAnswer: 2, 508073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 17*u**2 - 31*u - 322. What are the prime factors of x(-11)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*j**2 + 2*j + 362*j**3 - 50*j**3 + 49*j**3 in the form m + t*j**2 + n*j**3 + p*j and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 - u + 3084. Let m be c(0). Let z = 14367481 + -287411353\/20. Let g = m + z. What is the common denominator of -17\/14 and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 8*v**2 - 18*v + 247. List the prime factors of h(25).\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**3 + z**2 + z - 1. Let o be w(0). Let q(n) = -2*n. Let u be (-3 - -3)\/(5*(-6)\/(-10)). Let d(i) = -9 + u + 3 - 2 + 7. Give o*q(s) - 2*d(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/54 and 79\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-170)\/(-40))*(-8 + -80).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 301513151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -113 - -117. Find the second derivative of -o*z**2 + 20*z**2 + 31*z + 6*z**2 + 14*z**2 wrt z.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of 6*m**2 - 23\/3*m**3 + 0*m - 26. Find the second derivative of u(c) wrt c.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6801248 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1*(1*-9 - -2). Let b(n) = 150*n - 8*n**2 - 8 - 345*n + 199*n + 32 + n**3. Let w be b(v). Solve 0 = -5*g - 2*f - 33, 34 = -5*g - 3*f - w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1542898, 3085726, 4628554, 6171382, 7714210, 9257038?\n\"Answer: 1542828*d + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 49472081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be -333*3\/(-282) - (6 - 3). Let k = x - 2\/47. Factor 0 + 1\/4*v**3 + 1\/4*v - k*v**2.\nAnswer: v*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 111\/30926 and -103\/39762?\nAnswer: 278334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 37*g - 38*g + 80*l + 313, g - 4*l = 9 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14 - -24. Let t = 10 - v. Let d = 0.1 - 0.5. What is the third smallest value in d, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 111 a factor of 371410773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 138498.8ml in litres?\nAnswer: 138.4988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2499 and 294.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.087123*0.228.\nAnswer: 0.019864044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yhmm when four letters picked without replacement from {r: 5, h: 1, w: 1, m: 2, y: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*d + 11*d - 1385*d**2 - 19*d - 7*d**4 + 6*d**4 + 5573 with respect to d.\nAnswer: -4*d**3 - 2770*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**3 - 3*b**3 + 3*b**3)*(-4 - 1 - 5) + (1 - 3*b**2 - 1 - 2*b)*(119*b - 52*b - 10 - 63*b).\nAnswer: -22*b**3 + 22*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -4*t**2 - 16*t - 146. Give i(7).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + (-1 - (1 + 0)) + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -8, 3, 13, 299 in descending order.\nAnswer: 299, 13, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the second derivative of -u**8\/1344 + u**7\/2520 - u**4\/12 - 7*u. Let d(v) be the third derivative of w(v). Find the third derivative of d(z) wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -4*l - 12. Suppose 2*k - 2*v - 21 = 3, -4*k = 2*v - 60. What is the least common multiple of o(-8) and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(875)*4 - sqrt(35))\/sqrt(7) + (3 + sqrt(80))**2*6.\nAnswer: 163*sqrt(5) + 534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 506*c**2. Let s(v) = -9*v**2 - 10*v**2 - 2*v**2 - 8*v**2 + 30*v**2. Determine s(i(p)).\nAnswer: 256036*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1902.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2)\/(-6) + (-206)\/(-132) and 1708\/(-126)*24\/(-32).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uohghuhpguu. What is prob of picking 3 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.5 + -0.5. Let b = 0.16 + 11.84. Let s = 12.2 - b. What is the third biggest value in g, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*f + 0*f + 3*f)*(-2 + f**2 + 2)*(2 - 4 + 0) to the form o*f + q*f**2 + v*f**3 + t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-16 - -3) + 15 + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in -3, 28444, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of -g**6\/60 + g**5\/20 + 11*g**4\/24 + 5*g**3\/6 - 2*g**2 - 1667*g. Let k(f) = -f**3 + 2*f**2 + 6*f + 3. What is 7*k(p) - 4*l(p)?\nAnswer: p**3 + 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 6*c**3 + c**2 - 2*c - 10. Let a(w) = 7*w**3 + w**2 - 3*w - 12. Let x(o) = 4*a(o) - 5*i(o). What is x(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -404, -771, -1134, -1493, -1848, -2199, -2546?\nAnswer: -2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -7385 (base 11) in base 12?\nAnswer: -57a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 182\/3 + -60. Let h = -146 - 54. Let g = -1802\/9 - h. Which is the nearest to g? (a) -0.3 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 10 = 31*p - 30*p, 2*p = 5*u + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 - z**2 - 3*z + 5. Let r be a(4). Let f be 3\/4 + (-1)\/(-4). Let v = r - f. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 + 116*x + 1113. Determine d(-11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 4*j**2 - j - 3*j**2 - j + 2 + j**2. Let m(d) = -d**2 - 1. Suppose -8*b + 17*b + 36 = 0. Give b*m(v) - i(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -11510 (base 6) to base 12\nAnswer: -b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express r - 12*r - 10*r - 2 - 7*r + 106*r**2 + 5*r in the form y + m*r + n*r**2 and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*y - y**2 - 3*y + 11*y**2 + (-2*y + 2 - 2)*(-2*y - 3 + 3) + 0*y - 2*y**2 + 0*y.\nAnswer: 12*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and -2.56.\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-2 + sqrt(405) - sqrt(5) - (-2 + sqrt(5) + 2*sqrt(5)))**2 + ((1*sqrt(550))\/sqrt(10))\/(5*((sqrt(11) - (sqrt(11) + sqrt(99))) + sqrt(11))).\nAnswer: -750 - sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 246\/11, -2\/13 in increasing order.\nAnswer: -2\/13, 0.3, 246\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1049*q**3 + 495*q**3 + 357*q**3 + 319*q**3.\nAnswer: 122*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32 and 4512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26521\/63 - 421. Let w(j) = -j**3 + 5*j**2 - 3*j - 5. Let b be w(4). Is g less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -13800 divided by -46\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -125*y**5\/3 + 42304225*y**4\/3 - 53584940*y**3 + 192905360*y**2\/3 - 87991840*y\/3 + 4512400 = 0. What is y?\nAnswer: 2\/5, 1, 2, 338430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -37 - -3. Let q = t - -103\/3. Let j be 42\/110 - 12\/66. What is the closest to q in j, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3501578986.\nAnswer: 2, 1750789493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*b - 3*b + 0*b)*(-495 + 245 + 232)*(-1 - 4*b + 1) in the form r*b + q + j*b**2 and give j.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -9407, -19191, -28973, -38753, -48531, -58307?\n\"Answer: g**2 - 9787*g + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 20*w**3 - 14*w**2 - 37*w - 22. Give x(-3).\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -5*n**2. Let l(x) = 58*x**2 - 6*x + 1529. What is l(t(i))?\nAnswer: 1450*i**4 + 30*i**2 + 1529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of 4*j**3\/3 - 3*j**2\/2 + 24. Let v(h) = 2*h - 4. Let x be v(3). What is q(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-4)\/(-5))\/(2\/15). Let o = 1054 - 1044. Let z(r) = 0*r + 9 - r**2 + 6*r - 5 - o. What is z(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001738643 to six dps.\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1983?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*z + 5*z + 36*z = -7*z - 324 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 707 and 24543?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2399*0.04.\nAnswer: -95.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*r + 0*r = 0. Suppose 4*u - 135 = -5*s, 2*u + 2*s - 59 = 9. Suppose 7 = -4*z + u. Put z, -1, r in ascending order.\nAnswer: -1, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -2*r**3 - 3*r**2 - 2*r + 2. Suppose -2*s + 6*s - 8 = 0. Suppose 0 = s*c + 6 - 2. Give n(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 281\/4 - 389\/6. What is the common denominator of -1*136\/(-6)*13890\/(-214832) and o?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.483 + -1.483. Is m less than 483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2101 - 240?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2 and -25038118400131?\nAnswer: 25038118400129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (143\/(-22))\/((-1)\/2). Suppose -14*s + w*s + 232 = 0. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000079722 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 16*c**3*i + 3*c**2*i + 96*c - 10198*i wrt c?\nAnswer: 48*c**2*i + 6*c*i + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*p - 2*p + 22 = 0. What is the second derivative of 248*x - 246*x + 18*x**p + x**3 + 0*x**3 + 2 wrt x?\nAnswer: 6*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {k: 2, w: 2, t: 3, c: 6, q: 1, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 2*o. Let w(q) = -1045455*q**2. Calculate w(h(a)).\nAnswer: -4181820*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/39501 and -80\/1197?\nAnswer: 39501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 2424357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1*7*20\/910 + 6695\/(-5070)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1873128*g**2 + 3*g - 103852 wrt g.\nAnswer: 3746256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9333299 is divided by 795?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 45774591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 + 22 = 4*b. Let l be (6\/4)\/((-6)\/(-8)). Suppose -l*z + 47 = 3*u, -3*z = -z - u - 27. What is the smallest common multiple of b and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 11*k = -17, 4*k - 1006 + 1016 = -2*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 5*x + 4*h - 13, 5*x = 5*h + 25. What is the remainder when 1 + 0 + (2 - (-12)\/2) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 37 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 21439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1088\/8)\/8*2\/(-28))\/(30\/(-105)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 4 - 8 - 4*j + 0. Let k be q(-2). Suppose -9 = -k*t - w, -5*t + 3*w - 2 = -9. Solve -t*h = 6, a + 3*h + 4 = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 328426, 328414, 328388, 328342, 328270, 328166, 328024, 327838?\nAnswer: 327602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 3748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a**(-1\/6)\/a)*a**(1\/3))**(-11\/2))**(7\/6))**10 assuming a is positive.\nAnswer: a**(-1925\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the first derivative of 2*j**6\/3 - 4*j**5\/5 - 32*j**3\/3 - 118. Find the third derivative of w(t) wrt t.\nAnswer: 240*t**2 - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*v - 682*v**2 + 28*v - 240*v**2 + 919*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(1\/6)*r\/(r\/(r**(-12)*r)) assuming r is positive.\nAnswer: r**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1479991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**3 - 1. Suppose -4*p + 2*p = -8. Calculate the remainder when 17 - ((p - 1) + -4) is divided by i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 - 1)*4\/18. Let l = -55\/7 - -213\/28. Sort 0.3, l, a in descending order.\nAnswer: 0.3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109017619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26893.00003079 - -26893. What is s rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 240 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6357553, 12715108, 19072663?\nAnswer: 25430218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1747921*44\nAnswer: 76908524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 84*v**2 + 6387*v + 67. Determine a(-76).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10461 + -5464. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10907814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2559 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 0*j = -2*j. Put 2, 5, j in increasing order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8432 + -6432. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 1343*b**3 - 3*b**2 - 6*b - 14. Let a(q) = -4028*q**3 + 9*q**2 + 17*q + 39. Let c(w) = 6*a(w) + 17*m(w). What is the third derivative of c(k) wrt k?\nAnswer: -8022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 195\/13*(-2)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (3234\/28)\/33*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -2*s - 10. Suppose -s*r = -0*r - 10. What is the first derivative of -2 + 2*l**r - 1 + l**2 - 1 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand v**4 - 4*v**4 + 2*v**4 + 0 - 2*v**4 + 0 + 3*v**4 - v**4 - 3*v**4 + (2*v**3 + v**3 - 4*v**3)*(1 - 2*v - 1) + 0*v**4 - 3*v**4 + v**4 + 2 - 16*v**4 - 2.\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 4, b: 2, w: 1, v: 1, h: 3}. What is prob of picking 1 v and 2 b?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 PM and 1:46 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a**2 - 34*a + 70. Let b be s(15). Solve 4*u = m - 6 - b, 2*m - 14 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2379305 divided by -29.\nAnswer: 82045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -401 - 2042304?\nAnswer: -2043105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/((-42)\/110) + -2. Let o be 15\/6 + 1452\/168 - 5. Let t = f - o. What is the third smallest value in t, 1\/6, 0.1, 1\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k**(-1\/5))*k**(-3\/17))**(2\/9) assuming k is positive.\nAnswer: k**(4\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 4*c = 13, 6*a + 17 = 3*a + 4*c - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (22 - 14) - (12 + (-2 - 1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -163 + 550. Suppose -5*l + 148 = 2*y, 2*y = -3*y - 4*l + r. Let d = 167 - y. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -137*l = -428*l + 3783 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = 2*t - 8, 9 = 3*l - l - 5*t. Solve y + 17 = -4*y + 3*q, l*y + 6 = 2*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 10 (b) 0.5 (c) -0.0066\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 + 1. Let x(z) = z**3 - 5*z**2 + 4*z. List the prime factors of x(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + -4. Let g(c) = -2*c**2 + 7*c + 1. Let n(s) be the first derivative of -5*s**3\/3 + 21*s**2\/2 + 4*s - 3. Let r(a) = -8*g(a) + 3*n(a). Give r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**2 + 5*u + 11. Let g(x) = -x**2 - 4*x - 12. Let d(r) = -4*f(r) - 3*g(r). Give d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1000519\/712549 + 3516057381868\/35445750005. Let y = -4\/9949 - h. Let w = -101 - y. What is the third biggest value in w, -1\/8, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/(-5))\/(52\/130). Let c(q) = q**3 - q**2 + 8*q - 22. Let s be c(x). Solve 0 = -4*n + 2*u + 30, u + s = -3*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -13329 and -3864566069?\nAnswer: 3864552740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ca when two letters picked without replacement from {u: 3, e: 1, c: 1, g: 2, a: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-477))\/((2\/(-42))\/(168\/1176))\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11303 + 20150. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2568, -2566, -2564, -2562?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 671*o - 429*o + 1224 = -4584 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -316451*k**2\/6 - 632897*k\/6 + 5\/3.\nAnswer: -(k + 2)*(316451*k - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*o + 4980 - 384 = 380. Calculate the highest common factor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i - 2*i + 3*i + (-3 - 3 + 4)*(-i - i + 4*i))*(8*i**4 + 0 + 0).\nAnswer: -48*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 542 and 1355?\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 2*q**2 - 15*q - 1036. What are the prime factors of r(69)?\nAnswer: 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9211 + 41*f**4 - 777*f**4 + 8998*f**4 + 282 with respect to f.\nAnswer: 33048*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the third derivative of -23*t**7\/30 - t**6\/60 + 527*t**5\/60 + 128*t**2 + 3. What is the third derivative of l(q) wrt q?\nAnswer: -3864*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 344012 + 4?\nAnswer: 344016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 4 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4\/3, -7, 4, -95?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -4, 4, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 5.962 to 1 dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 6, 1739\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from beeboqjo. What is prob of picking 1 j and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -37? (a) 1 (b) -3 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 375527840 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-6))\/(34\/68)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -9*d + 155. Let z be i(17). Suppose -16 = -j - 2*g + 11, 87 = 5*j - z*g. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h**3\/5 + 821*h**2\/5 + 3272*h\/5 + 3268\/5 = 0. What is h?\nAnswer: -817, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2\/5, -8.8 in decreasing order.\nAnswer: 1, 2\/5, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the second derivative of -5*n**4\/12 + 9*n. Let a(r) = -2*r. Give m(a(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-2 + 6 + -3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -3*l + c + 4, -2*l + 8 = 4*c. Suppose -l*o + 9 = -3. Sort 2, 0, o.\nAnswer: 0, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -9*h. Let s(r) be the second derivative of 3*r**3\/2 + 83*r. Calculate s(k(z)).\nAnswer: -81*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 36\/301 and 157\/1290.\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 3*g**5\/7 - 330*g**4 + 6870*g**3\/7 + 25320*g**2\/7 - 6873*g\/7 - 23010\/7 = 0. Calculate g.\nAnswer: -2, -1, 1, 5, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*3\/(-36)*(32\/12)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2157 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39, 40, 19, -24, -89?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9586752 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((15*-1)\/(-1))\/((-34)\/((-2516)\/185)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -186 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6255968, 6255970, 6255972, 6255974, 6255976, 6255978?\nAnswer: 6255980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rwwwhnwwhhhhhhhhw. What is prob of picking 1 w and 1 h?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 191, 182, 169, 152?\n\"Answer: -2*g**2 - 3*g + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 41 = 4*y, 0 = -8*b + 5*b - y + 19. Let t(o) = -8*o - 13. Let j(z) = 7*z + 12. What is b*t(i) + 6*j(i)?\nAnswer: 2*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -4*t + 3*t + 22, -3*t + 3*x = -72. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 635*k - 4352 + 4352 - 19870*k to the form v + l*k and give l.\nAnswer: -19235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**2 - 5*f - 2. Let a be r(-2). Suppose 6 + 9 = 5*w. Suppose 0 = w*y + 2*y. Put y, 2, a in descending order.\nAnswer: a, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 336 and 822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 98*y + 0*y**2 + 434*y + 2*y**2 - 39*y + 1528*y in the form r*y**2 + s*y + d and give s.\nAnswer: 2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4.46 - 187.46. Let d = g - -182.9999839. What is d rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 344 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 1 = -23. Let u(j) = j**2 - 7*j + 3. Let t be u(6). Let a = t - l. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 4*a = 22, -9*a + 8*a = -s + 2. Let b(h) = -2*h**3 + h**3 - 8 - 4*h**2 + 7. What is b(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4611462*m**2 - 10092837 wrt m?\nAnswer: 9222924*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of 0*b**4 - b**3 + 0*b**2 - 3\/5*b**5 + 3 + 0*b. What is the third derivative of y(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5989 and 1062426?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2176 and 2816?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1947 divided by 1?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 3*y = -186, 4*w = -0*w + 3*y - 249. Let c = -54 - w. Let s be c\/(-201)*(-680)\/(-15) + 2. Put -1\/5, 0, s in increasing order.\nAnswer: -1\/5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.3, -1, 2370.06, -3 in ascending order.\nAnswer: -3, -2, -1, -0.3, 2370.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 3*m**3 + 8*m**2 + 10*m. Let s(b) = b**3. Let l(y) = -2*s(y) + x(y). Let j be l(-8). Let w = j + 167. Calculate the remainder when w is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 AM and 7:26 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from {k: 7, d: 2, a: 3, y: 4, f: 3}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -4 + 0*p - 144*p**3 - 2*p**2 + p + 143*p**3 + 0*p**2. What are the prime factors of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 5*m + 4, m - 2 = 3*i - 5. Factor 4\/13*d - 2\/13*d**2 + m.\nAnswer: -2*d*(d - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 264653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1304 a factor of 562486920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -706842 divided by -963\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 89005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 5*g + 32, 2*g + 15 = -g. Differentiate -2*w**2 + 4 + r + 0*w**2 - 7 with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*v*v*v**(-1\/4))**1\/(v*(v*(v\/v**(-13\/2))\/v*v)\/v*v**(-1)) assuming v is positive.\nAnswer: v**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 2*t + 3*b - 14, -23 = 3*t - 4*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 42*v + 2*v**3 + 6*v**2 - 6 - 26*v - 15*v + 0*v**3 to p + o*v**3 + j*v + x*v**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (18\/(-55))\/(621\/135 - 33). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/54 + -6*4\/(-108). Factor w*x**2 + 2\/9 - 1\/3*x.\nAnswer: (x - 2)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 59*r - 75 + 21*r**3 - 85 + 250 - 79. Let y(q) = 4*q**3 + 12*q + 2. What is 2*d(f) - 11*y(f)?\nAnswer: -2*f**3 - 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 22 = 5*j, -2*j - 3*m = -0*j - 2. Suppose 52 = j*c - 76. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -66 + 60 - (-3 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and 0.0425 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -483\/607 or -2?\nAnswer: -483\/607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4234479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 60.6734 litres to millilitres.\nAnswer: 60673.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3904 + -894018\/229. Let f = -444\/1603 + t. Let a be 6\/10 + 1 + -1. What is the nearest to -0.1 in f, a, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(224) + sqrt(224) + 5*-3*sqrt(224) + sqrt(224))\/(sqrt(16)\/(sqrt(2) - -2*sqrt(2)) + sqrt(8) + sqrt(512)).\nAnswer: -18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -0.3 and -2175181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let p = -9.6 - -10.1. What is the closest to -1\/6 in 4, 8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(612) + -1 + -4 - (5 + sqrt(612)*3))*3*5)**2.\nAnswer: 53640*sqrt(17) + 573001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10540 - -10585. Let i = 105 - -45. Calculate the smallest common multiple of i and w.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (72 - 940 + 290 - 280 - 114)*(3*l - 48*l + 2*l).\nAnswer: 41796*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 127676841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 112 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1694)*-4 + sqrt(1694) + sqrt(168)\/(sqrt(12)*4))\/(4*-1*sqrt(6)\/(sqrt(6)\/sqrt(2))).\nAnswer: 131*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8220.00008154 + -8220. What is k rounded to 6 dps?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (n + 0*n - 6*n)*((-1 + 0 - 2)*(3*n - 3*n - n**2) + n**2 + 0*n**2 + 0*n**2) to p*n**2 + v*n**3 + j + q*n and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/1573 or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.6 - -9.3. Let z = t + -9.7. Which is the closest to 2? (a) -3\/8 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 2 x when four letters picked without replacement from zzxxxxxxxxxx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 37 - a763?\nAnswer: -a72c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 65 + -55. Suppose 4*r - 4*c = -11 - 9, 2*c = 5*r + b. Suppose -3*w + 191 + 364 = r. What are the prime factors of w?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4.692507343 to three decimal places.\nAnswer: 4.693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + c - 3*l - 9 = 0, -4*l - 12 = 4*c. Suppose 2*m = -c*m - 3*b - 15, 0 = -m - 3*b - 15. Let j be (-2 - 2)*1 + 9. Is j smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 7*k = 0. Find the third derivative of k*g**4 - 3*g**3 + 3*g**3 - g**2 - 2*g**4 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1a4 + 1?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -78285, -156575, -234873, -313179, -391493?\n\"Answer: -4*c**2 - 78278*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 34575428 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 134*y - 131*y + 9 = 3*m, 4*m = -4*y - 28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - 8. Let o be ((-10)\/(-1))\/(z\/(-3)). What is the tens digit of (-4)\/(((-16)\/o)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 108, 197, 270, 321, 344, 333, 282, 185?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/50 and 83\/380.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -9693, -19402, -29113, -38826, -48541, -58258, -67977?\n\"Answer: -o**2 - 9706*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24815 and 544705?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x + 451 = 22*y - 265, 0 = -y + 33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 141 - 41. Suppose 3*h - z = 1013. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 - -21. Let w be (k + -6)\/(0 + -3 + 4). Put w, -4, -3 in increasing order.\nAnswer: w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 6613148 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1\/4, 31, 47.8, 58?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 14 (b) 31988 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**4\/(z\/z**2))\/((z*z**(5\/3))\/(z*z*(z*z*z**(2\/15)*z)\/z)) assuming z is positive.\nAnswer: z**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2\/3 (c) 8 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nbp when three letters picked without replacement from {p: 6, b: 2, n: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 762 + -3809\/5. Sort 0, c, -1 in descending order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -768650801*k**4 + 1029629*k**2 - 2*k + 9 wrt k?\nAnswer: -18447619224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4\/15, -5, 28419, -1, 1 in descending order.\nAnswer: 28419, 3, 1, 4\/15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:01 PM and 4:07 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be 42\/5 + 4\/(-10). Suppose -r = -3*k - s, -4*k + 0*s = -s - 20. Is 5 a factor of 19\/k - 2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11.3 + 1.3. Let p = 5 + g. Which is the nearest to 1? (a) p (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-2)*20\/(-30). Let b = 6 - 4. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6512 (base 7) to base 9.\nAnswer: -3148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -66 - -66. What is the third biggest value in s, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 6*r - 9*r = -1820, 2*v + 4*r = 714. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 23\/42 (b) 0.3 (c) 1\/8 (d) -193 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/8 greater than -1\/1495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 326020957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -7*k**3 - 3*k + 514 - 517 + 5*k**3. Let t(j) = j**3 + 2*j + 2. Let l = 2 - 4. Give l*p(r) - 3*t(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**2 - 2*u + 3. Let k(o) = -5*o**2 + 4*o - 34. What is -12*j(d) - k(d)?\nAnswer: -7*d**2 + 20*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-17))**(-2\/53) assuming t is positive.\nAnswer: t**(34\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 482 divided by -10?\nAnswer: -241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1959245*t**5 - 6447162*t.\nAnswer: -39184900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 2*n**2 - 15*n**3 + 32*n - 74*n + 29*n + 16*n**3 as b*n**2 + g*n**3 + i + c*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -6*u + 259. Let v = -34 + u. Suppose 0 = -4*t + d + 528, d + 378 = v*t - 18. What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 334 is divided by 100.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 598667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 23220100121 + 1?\nAnswer: 23220100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 767 (base 14) to base 2.\nAnswer: 10110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3024.07 + 3041. Let g = 17 - m. Let f = 0.070036 - g. Round f to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.3 + -4. Let o = 0.3 - f. Let x = 0.9 + 3.1. What is the closest to -0.2 in x, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.5 (b) 4783 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g**5\/11 + 6*g**4\/11 + 34*g**3\/11 + 18*g**2\/11 - 32*g\/11 - 24\/11 = 0 for g.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be 28\/(-3) + 1\/3. Suppose -9 - 1 = -2*u. Calculate the least common multiple of u and ((-140)\/21)\/(6\/v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/(-1)*(0 - (-55)\/33). Suppose o*q + 2*j = 2562, 0 = -q - 5*j + 6*j + 511. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -18\/13 in 16, -0.0524, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1b72841 (base 12) in base 8?\nAnswer: 26316461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -331765, -1327048, -2985803, -5307988, -8293561, -11942480, -16254703, -21230188?\n\"Answer: 7*n**3 - 331778*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 - -5. Let w be (-54 + m)*8\/(-6). Let f = w + -2389\/30. Calculate the common denominator of -69\/10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*x**3 + 171*x - 192*x - 240*x + 14*x**2 wrt x.\nAnswer: 30*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 403739 - 1241124 = -29*h + 697527. What are the prime factors of h?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, 2\/5, -4, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -7*h + 1. Let m be x(-1). Let a(r) = m - 2*r - 3*r**2 - 20 + 6*r + 8. Let v(d) = -20*d - 77. Let w be v(-4). Calculate a(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 + -13. Suppose -5 = -j*z + 7. Let n be 1\/((-18)\/(-15) + -1). Put -2, n, z in increasing order.\nAnswer: -2, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1346884031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4898 + 4695 + 4901 - 14494 - 65*b**2 - 50*b**2.\nAnswer: -115*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 7979 (base 10) to base 11.\nAnswer: 5aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1340\/17 - -78. Which is the smallest value? (a) -3 (b) n (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10314606 to the power of 1\/2, to the nearest integer?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.3403085g?\nAnswer: 0.0003403085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -17 (b) -1 (c) 0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 3314*h**2 + 91*h**4 - 3314*h**2 + (h - h + 2*h**3)*(-2*h - 3*h + 6*h).\nAnswer: 93*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 37 - 29. Suppose -3 = -s - 0. Suppose -77 = -4*m - s*l - 8, 16 = m + 2*l. Calculate the smallest common multiple of m and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -3*o + 2*p + 11, 3*p = -5*o + 4. Is o bigger than 88\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.76022 tonnes to micrograms.\nAnswer: 760220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 AM and 9:39 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uehe when four letters picked without replacement from {e: 4, h: 5, u: 10}.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 915799 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1569, -3083, -4539, -5937, -7277?\nAnswer: -8559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16408 - 16407. Let o(r) = -1 + 3 + 3 - 2*r. Let s(x) = x**2 - x - 1. Calculate q*o(k) - 2*s(k).\nAnswer: -2*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/420 and -74\/35385?\nAnswer: 141540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lbbbblbblbl. What is prob of sequence bllb?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5454, 5446, 5438?\nAnswer: 5430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.054, 3\/2, 1\/5, -2\/3, 19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(94\/24 + -4). Suppose -p + 4*p - j = 0. Solve 0 = -p*r + z + 9, 2*r + 3 = z + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -122*n**6 - 34*n**2 + 2 wrt n?\nAnswer: -14640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82 = u - 4*n, -212 + 75 = 2*u + n. Does 12 divide (-8)\/(-10) + (-4984)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 18*a + 170. Let k be m(-8). Solve 0 = -6*s - k + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.16 + 1.16. Let u = 5.1 - 1.1. What is the nearest to u in m, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 535343*k - 535348. Give s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/((-31)\/(682\/(-16)))*116\/29?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 835 + 17\/((-17)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3753363 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -112100111001000 - 1?\nAnswer: -112100111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {c: 1, b: 4, u: 2, e: 1, i: 2, o: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.01 - -0.29. Let z = -4\/57 + -11\/114. Which is the smallest value? (a) z (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 5*w - 28 = -0*w, 4*u + 5*w - 21 = 0. Is u\/1 + 30 - -2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -96 - -67. Let n = 70 - b. Calculate the highest common divisor of n and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-168 + 12*j**2 + 168 + (-2 + 2 - j**2)*(5 - 5 - 2))*(2*j**3 - j**3 + j**3).\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 20700 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -69*z + 5. Let g(r) = 49*r - 4. Let b(s) = 4*g(s) + 3*y(s). Let x be (-3 + -1)*15\/20. Let p = x + 2. What is b(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -73409.26+-0.14061\nAnswer: -73409.40061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -26 and 0.6?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 745678, -2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -150? (a) -0.5 (b) 7 (c) 0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (2 - (-4 - -6))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*q**2 - 26*q**2 + 22*q**3 - 25*q**2 - 23*q**3 + 75*q**2.\nAnswer: -q**3 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add 0.4 and 1659280014.\nAnswer: 1659280014.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((1\/(-4))\/(232\/32))\/((-142)\/(-1704))?\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = c + 94 - 104, 55 = -4*b + 4*c + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-6) - (-2)\/24. Let y be 18\/(-14) - 4\/(-14). Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1492 + 1489. Sort 85, -0.2, t.\nAnswer: t, -0.2, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.17802797 to 2 dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 904 and 70851?\nAnswer: 566808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7 - -4)\/(3\/(-2)). Suppose -2*c - 25 = -5*g, 2*g + x*c - 32 = -8. Suppose -d + 3*d - 22 = 0. What is the remainder when d is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -4443 (base 5) to base 15\nAnswer: -2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 4203745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*n**2 + 81*n**2 - 3*n**2 - n**3 + 15*n**2.\nAnswer: -n**3 + 68*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6.534 + 0.066. Let h = -13.6 + t. Let w = -0.1 - -0.1. Which is greater: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -1 + 4*t - 4*t - 159*t**2. Let j be m(2). Let l = j + 894. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 111, 0, 1.\nAnswer: 0, 1, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 150736 (base 14) to base 10\nAnswer: 731324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 80\/112*((-6)\/(-50))\/((-36)\/(-30))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ep when two letters picked without replacement from rtretrsrrespeetr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 9:55 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7996197001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 37*v*z**2 - 21*v*z + 100871787*v + 58315*z wrt z?\nAnswer: 74*v*z - 21*v + 58315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 361 divided by -2?\nAnswer: -361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 136 - 132. Let s(h) = 2*h**2 - h - 1. Let t be s(2). What is the third biggest value in t, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 7*c + 9. Let o(f) = 4*f + 5. Let a(s) = -3*m(s) + 5*o(s). What is a(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*j + 0*j - 2*j**5 + j**4 + 4*j**5 - j**4 + (-2*j - 3*j**4 + 2*j)*(2 - j - 2).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001010001001100101 - 10?\nAnswer: 10001010001001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9818160 and 21520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2 times -47\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 3*r + 15. Let l(v) = v + 7. What is 9*l(t) - 4*n(t)?\nAnswer: -3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -17722.3 in -5, 3, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 195144, 195152, 195160, 195168, 195176, 195184?\n\"Answer: 8*x + 195136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2978 take away 17203702?\nAnswer: -17203702.2978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z - 27*z = -7686. Suppose -2*t + 2475 = -2*n + z, -3*n = 5*t - 5120. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aqnaqaaaxaawaxaaaqx. Give prob of picking 1 q, 1 n, and 1 a.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 + 30*v**2 - 26*v - 66. Calculate the remainder when 49 is divided by q(29).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3858345 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = a - 6. Suppose -2*z = 2*z - a. Solve -i - 9 = -3*c, -z*c + 25 = -5*i + 3*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*v - 53*v + 10 = 0. Solve 2 = v*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((-3*4*sqrt(209) + sqrt(209))*2)\/((sqrt(132) - -5*-5*sqrt(132))\/sqrt(12)) + 0)**2.\nAnswer: 11*sqrt(19)\/2 + 3595\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**2 + 10*h\/7 - 4\/7.\nAnswer: 2*(h + 1)*(7*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 569, 571, 573, 575, 577, 579?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -40638*w**3 - 2*w - 120504?\nAnswer: -121914*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3254.7106057 - 6.3027043. Let w = -3261 - o. What is w rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 5*d - 57. Suppose 11 - d = g. Which is the nearest to 1? (a) 5 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -73 divided by 1\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + 0*l - l)*(-4 + 0 + 3) + (1 - 1 - 2*l + (3*l - 7*l + 2*l)*(-83 + 29 + 19))*(3 - 1 + 5).\nAnswer: 478*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 280 - 395 = 0. Suppose -18*w = -23*w + n. Let v be 9\/12*4 + w. What is the highest common divisor of v and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1017 - -36?\nAnswer: 35.8983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -2715 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-5*(sqrt(19) + (sqrt(19)*-1 - sqrt(19))) + sqrt(114)\/(sqrt(6) - sqrt(6)*2)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (22 - 6 + 2)*(7127 + 24*w**3 - 7127 - 4*w**2).\nAnswer: 432*w**3 - 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1941997752 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (6*290\/(-45))\/(4\/(-78))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -525450 (base 6) to base 13.\nAnswer: -165a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*l + 17523 = 21*l + 6*l. Calculate the remainder when l is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 397142244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/18 - 4\/18. Let s(t) = t**3 + 32*t**2 + 118*t + 3773. Let a be s(-32). What is the nearest to 0 in v, -3\/2, a, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -266859, -266963, -267067?\nAnswer: -267171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the first derivative of 2*n**5\/5 + 319*n**4\/2 + 22684*n**3 + 1224724*n**2 + 2382032*n - 502. Factor i(f).\nAnswer: 2*(f + 1)*(f + 106)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Express -19 - 9*w + 9 + 10 as o + c*w and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -111 - -87 - (7 - 77)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7781 or -7778?\nAnswer: -7778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4 + 20 + -22)*18\/4. Calculate the highest common divisor of d and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -2*i - 16. Let s(r) = 1. Let h(z) = z - 4. Let x(n) = h(n) + 4*s(n). Let o(g) = j(g) + 4*x(g). Let k be o(12). Is 7 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 13*h - 14 = -3*n + 14*h, 0 = 5*n - 7*h - 110 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12015333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.124*-40.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of -3*k**5\/20 - k**4\/2 + 3*k**3\/2 + 11*k + 12. Let h(d) be the first derivative of z(d). Factor h(t).\nAnswer: -3*t*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3605727669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64837803.\nAnswer: 3, 21612601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 - 19*k**2 + 10. Let c be q(-19). Let i(r) = 3*r - 14. Let p be i(c). Suppose -6*n + p = -2*n. Solve 5*h - 4*h + n = 0, -x = h - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 807227666 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -371 by -2.\nAnswer: 371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2004 is divided by 215.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 27\/12 - 6\/24. Let k be (1\/i)\/((-9)\/(-234)). Find the second derivative of -17*q**3 + 5*q**3 + k*q**3 + 5*q wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 213? (a) -7 (b) -4 (c) 4 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 516 = -82*z + 39*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -227\/5*v - 45*v**2 - 2\/5.\nAnswer: -(v + 1)*(225*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -224, -169, -104, -23, 80, 211, 376, 581?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 664c - 11?\nAnswer: 663b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1075457760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5270 = 405*w + 122*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14126, 28331, 42532, 56729, 70922, 85111, 99296?\nAnswer: 113477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t, 1 p, and 1 y when four letters picked without replacement from {p: 1, y: 1, t: 2, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 140, 278, 418, 560, 704, 850?\n\"Answer: w**2 + 135*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -100\/33 - -37\/11. Which is the closest to 0.2? (a) -0.4 (b) 2\/83 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1\/3, -1, 3, -264, 360, 6\/13?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -112222*a**3*t**3 - 242906041*a**3 + 169*a*t**3 wrt t?\nAnswer: -336666*a**3*t**2 + 507*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 445135759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 21 = 7. Suppose 22*x = -63*x + 2720. Calculate the remainder when x is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eoee when four letters picked without replacement from onooeennooe?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 - -6. Let q(k) = -3*k - 4. Let o be q(-3). Suppose o*w = 2*w. Put a, w, -4 in decreasing order.\nAnswer: a, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, 20, 172 in ascending order.\nAnswer: 0.05, 20, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*g**2*m*o - 3558741*g**2*m + 29*g*m*o + 73*g*m + 28*g*o - 343*m*o wrt g?\nAnswer: 4*m*o - 7117482*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10001 - 9976. Let q be 152\/15 + 14\/(-105). Let l be (-1 - -1)*(-5)\/q. Solve r = -l*x + 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 97*u - 2831 = -88*u + 2904 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 17 = 6*d + 5*q, -4*d + 8 = q. Suppose d*r = -r + 80. Let p = -400 - -419. Is r less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1857 and 72.\nAnswer: 44568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/435 and -57\/40?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1.1, 5, 3, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + 40 + -32 + 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) -2 (c) -556\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**2. Let q(d) be the first derivative of 35*d**2\/2 + 5. What is q(l(b))?\nAnswer: 35*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/9)\/((-2)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -47650605 divided by 292335?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (56\/(-49))\/(4\/(-42)*1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -63983340 rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 21 + 3 = 0. Suppose 472 = -h*v + 1690. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*f**2\/3 + 3238*f\/3 = 0. What is f?\nAnswer: -1619, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 957 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) -10 (c) 30588 (d) 2\/5 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 2*b**3 - 4224*b**2 - 110840*b - 718368 = 0. What is b?\nAnswer: -14, -12, 2138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 3*b - 15, 2 = k + 5. Let n be b\/(((-2)\/33)\/1). Let d = -81 - -50. Which is greater: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t - 4*t - t + 2*t. Let z(x) be the second derivative of -8*x**3\/3 + 18*x. Determine z(m(n)).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((q\/(q**2\/q))\/q)\/q)\/q)**(-1\/4))**4\/(q**(-7)*q\/(q\/(q\/(q*q*((q**(-1\/5)*q*q)\/q)\/q)))*q*(q**(-5)\/q)\/(q\/q**(-6)*q)) assuming q is positive.\nAnswer: q**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 equal to -424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -110134232 + 3?\nAnswer: -110134224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2.2 (b) 31421 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of a**3\/2 + 7*a**2\/2 - 3*a. Suppose -2*k - 1 = -3*n, -2*k - 4*n - 13 = -3*n. Give o(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-1\/2)\/(q*q**(2\/13)*q)*q*q**(3\/7)\/q*q*q**(2\/13) assuming q is positive.\nAnswer: q**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1, 1342, -14, 0, -57 in descending order.\nAnswer: 1342, 2, 0, -1, -14, -57","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Is (-1*1)\/((-4)\/452) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9212\/(-34545))\/(2\/63)?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1108, -2047, -10616, -27305, -54820, -95867, -153152?\n\"Answer: -451*i**3 - i**2 + 5*i + 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-21))\/(((40\/(-5))\/24)\/(-17))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 81*l + 14. Let y be a(-2). Let n = y + 204. Calculate the greatest common factor of 616 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 395*c**2 - 1. Let h(u) = 2*u**2. What is h(p(i))?\nAnswer: 312050*i**4 - 1580*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -8\/2169?\nAnswer: -8\/2169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 - -10. Suppose -6*n + 8 = -u*n. Suppose -4*b + 5*b = n. What is the greatest common factor of b and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-9)\/99*566\/(-100). Let k = c + -4\/275. Which is greater: k or -44?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 2 + g**2 - 2*g - 5*g + 2*g - g. Suppose 2*r = 4*d - 18, 2*d + 0*r + r - 15 = 0. Let t be y(d). Solve 4*j - t*b - 6 = 0, -3*b + 5 = -j + 14 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-20)\/7)\/(16\/(-56)). Let d(u) = 12*u + 0*u - u**2 - 2*u. Let a be d(c). Solve a = -j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - w = 7 + 5, w + 8 = i. Suppose 0 = i*p - 7 - 1. Suppose p*r + 5*j + 57 = 4*r, -r + 5*j + 41 = 0. What is the remainder when 31 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -143 + 93. Let x = p - -75. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (810\/30)\/((-2 - -3)\/(-22)). Let a = -251 - l. What is the greatest common factor of 49 and a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 - ((18 - 36) + 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -252.411127 plus 22?\nAnswer: -230.411127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 15*o**4 + 2*o**3 - 35634*o**2 - 358988 with respect to o.\nAnswer: 60*o**3 + 6*o**2 - 71268*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 268 and 369773?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.01? (a) -0.045 (b) -4\/3 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 0 + 8. Let x(f) be the first derivative of 1\/2*f**2 + 4*f + 2. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 199 + -199. Suppose 9*w - 590 - 382 = r. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of -5*q**9\/3024 + q**5\/24 - q**3 - 6*q**2. Let h(d) be the first derivative of b(d). Find the second derivative of h(s) wrt s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 220*11.6.\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.6 - -2.12. Let h = j - 0.62. What is the smallest value in -0.5, h, -2\/19, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -844 - 320 = -57*y + 1059 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 - 1) + 1 - 1. Let d = -2\/75 + -211\/525. Is d less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -58124 + -1?\nAnswer: -58125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1995788?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 - (2 - 7 - (-10 - -11)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 35358147 a multiple of 1795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -158922, -158925, -158930, -158937, -158946, -158957?\nAnswer: -158970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 3\/74, -4, 2\/7, -10, 0.2 in decreasing order.\nAnswer: 2\/7, 0.2, 3\/74, -0.3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - 0) + (17 - 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -2*x - 11. Let a be o(-7). Suppose -17*b = -16*b - a. Is 5 a factor of 10 - (-1 - (b + -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -10*h. Let r(z) = -151 - z + 151. Calculate r(q(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.1 - -0.3. Let c = -0.2 + -0.3. Let k = -1104\/7 - -158. What is the nearest to k in -4, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -17, 0, 3, 2 in decreasing order.\nAnswer: 3, 2, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:07 AM and 10:11 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 - 6*o**2 + 11*o + 27. Let i(s) = -2*s**2 - s + 44. What is the remainder when l(-8) is divided by i(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107439 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 637225861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = 2*t + 3, 5*a + 4*t - 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -3*j**2. Let n(y) = -20*y + 9. Let l(w) = -10*w + 4. Let a(s) = -9*l(s) + 4*n(s). What is a(o(x))?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d + 20. Let n be g(0). Suppose -5*o + n = -70. Let a be (o\/(-24))\/(3\/(-7440)). Round a to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 269, -0.3, -1\/4, -5, 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 + 3 + 20 + -25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/819000 and -139\/2439000.\nAnswer: 221949000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(96)\/sqrt(3)*1.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 103161, 103170, 103193, 103236, 103305, 103406?\nAnswer: 103545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -107397 divided by -35799?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 7 (b) -3\/2 (c) -2\/3 (d) -10 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((2*sqrt(396))\/sqrt(11) - sqrt(36)))\/(sqrt(1200)*-1 - (-1*sqrt(48) - sqrt(12))).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -4*p - 26. Let l be h(-7). Let q be (2*2)\/1 + 1. Suppose -25 = -2*j - l*s + q*s, -s + 10 = 3*j. Solve 5*x - 20 = -5*t, -j*t - 1 = -4*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 169 in 1\/7, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1565990 is divided by 156597.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 5*q + 94. Let u(x) = -x + 15. What is r(d) - 6*u(d)?\nAnswer: 11*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 7*x**2 - 7 + 21*x - 18 - 3*x**2. Let v(p) = -11*p**2 - 7*p + 8 + 16*p**2 - 6*p**2. Let s(z) = -2*u(z) - 7*v(z). Give s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3822 and 169?\nAnswer: 49686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7891 + 2777. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*u, -a - 2*u + 15 = -4*u. Suppose -2*l + l + j = 0, -a*l = j - 30. Suppose -z = 5*r + 5 + 11, -z + 24 = -l*r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1404\/42 + 2002\/1274.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (146 + 62 + 16 + 71)*(-2 + b + 2).\nAnswer: 295*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*g**3 - 174*g**3 + 34*g**3 + 40*g**3 + 34*g**3 + 35*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xt when two letters picked without replacement from tbhfxhhtbbtbxttb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14738*l**4 + 8557*l wrt l?\nAnswer: 176856*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:46 AM and 9:40 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 10628800 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 2*l**2 + 5*l + 23. What is the remainder when i(-10) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4.65 - -0.35. Are 1\/7 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -9.966724 and 5?\nAnswer: -49.83362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/52*44\/(-924)*3\/1?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*h = 137*h + 1089 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 32848697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -1177000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1903124220.200141 + -1901866098.42. Let u = k + -1258121. Let o = u - 0.78. What is o rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 166534.917195 plus 0.49?\nAnswer: 166535.407195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 33*b**5 - 66*b**5 - 30*b**5 + (-2 + 3 + 1)*(b**5 + 2*b - 2*b) + b**5 + b**4 - b**4 + 3*b**5 + 0*b**5 - b**5.\nAnswer: -58*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(360)\/(sqrt(40)\/sqrt(4))*1)\/(-1*(sqrt(192) - -1*sqrt(192)*-4)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, x: 5, y: 4}. What is prob of picking 2 x and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -77171*g**6 - 44251*g**2 wrt g?\nAnswer: -9260520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 0.30939 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - 4204?\nAnswer: -4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -188, -749, -1684, -2993, -4676?\nAnswer: -6733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-99)\/21 + (-6)\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66) + sqrt(66) + -5*-1*sqrt(66) + sqrt(66))\/(sqrt(24)*-4)*6)**2*-6 + 3.\nAnswer: -2373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 6747957990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be 40\/(-6)*(280\/(-32) - -8). Let r(b) = 4*b**3 - 6*b**2 + b. Let i be r(f). What is i rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -67241 (base 14) in base 8?\nAnswer: -750451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(15)*1)\/(sqrt(500)*1 + sqrt(500)) + -3 + -4 + (-2*(sqrt(75) - (0 + sqrt(75))))**2 + 2.\nAnswer: -5 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 7) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62*a + 212*a - 2*a**3 + 37*a - 29*a + 175*a.\nAnswer: -2*a**3 + 457*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50 + -64. Sort 5, g, 1 in ascending order.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 734?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 - 12*f**2 + 4*f + 106. Let c be b(11). Let x = c + 193. List the prime factors of x.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*r**5 + 12*r**4 - 16*r**2.\nAnswer: 4*r**2*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*n*q**2*y - 41939*n*q**2 + 3026*n*q - 5*n*y - q**2*y + q**2 - 3*q*y - 3*q wrt q.\nAnswer: -4*n*y - 83878*n - 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1027262 and 0.3.\nAnswer: -308178.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6712.882ml in litres?\nAnswer: 6.712882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: ((16\/(-10))\/1)\/(2\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-192)\/(-10))\/((-2)\/(-10)). Suppose -5*x + 6 = -4. Suppose x*v - 60 = -3*v. Calculate the greatest common divisor of v and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 1\/4, 0.5, 22 in ascending order.\nAnswer: -0.4, 1\/4, 0.5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 2053, -2\/5, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.0345388 times 0.14\nAnswer: 0.004835432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/6 - (-3 - 11\/(-3)). Suppose p = -5*l - 34 + 144. Let h(g) = g**2 - 15*g + 14. What is the units digit of h(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-8)\/6)\/((-16)\/24). Let v(p) be the third derivative of 0*p**4 + 3*p**m + 0*p + 0*p**3 - 1\/60*p**5 + 0. Let s(o) = -2*o. Give v(s(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 178731092, 178731089, 178731086, 178731083, 178731080?\nAnswer: 178731077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes after 8:43 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = u**2 + 6*u + 13. Let b be m(-3). Suppose -2*d = 2*l - b*d - 82, 0 = 3*d + 12. Let j = -35 + l. Solve j*w + 2*o = -14, -5*w + 2*o + 6 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p = 4*p - 5*i + 52, 0 = 4*p + 4*i - 92. Let m = 14 - 17. Let t(n) = -n**3 + 2*n**2 + n - 2. Calculate the remainder when t(m) is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 - 11*k**2 - 10*k - 1. Let v be g(-10). Let t(u) = -52*u**3 - u - 2. Let h be t(v). Let f = -28 + h. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 193.94 + -202.941. Let i = 3 - -6. Let k = i + h. What is k rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2788, -2, 5, 1, 700 in descending order.\nAnswer: 700, 5, 1, -2, -2788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 513047 (base 8) to base 14.\nAnswer: 45abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (0*c + 2*c + 0*c)*(-150 + 150 - 30*c) as v + w*c + y*c**2 and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 336745218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 9 = 3*v, -2*v - 4 = 2*v. Suppose -a*m + 2443 + 4553 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2667538 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -40 - -50. Let c = k + 39. What is the highest common factor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 18 - 99c04?\nAnswer: -99bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0009838 to five decimal places.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 785.283 centuries to decades.\nAnswer: 7852.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 206 - 131. Suppose -4*t + 32 = -0*t. Let c = t - q. Round c to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 837820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*r + 4*i - 490 = -25*r, -2012 = -4*r - 3*i. What is the remainder when r is divided by 247?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 20 = 4*x, -3*x + 2*n = -1 - 15. Suppose 32 = 4*g + x*b, g - 2*b - b = -12. Suppose l + 5*s - 8 - 5 = 0, -g*l + 5*s = -39. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -35 + 47. Suppose 0 = -3*d - 2*d + 35. Let c = y - d. Solve 0*h - c*h = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -71, -59, -23, 49, 169?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (56\/40 - -1)\/((-4)\/(-110)) + 33 + -20.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.208 - -49236?\nAnswer: 49245.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from ressssetssstqqr?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 77347\/823 or 95?\nAnswer: 77347\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -4*y**2 + 2*y + 553. Let x(d) = -3*d**2. Determine t(x(q)).\nAnswer: -36*q**4 - 6*q**2 + 553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3445 + 3487. Solve 80*g - 66*g = x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2480840459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 5*q + 355700, -170*w + 175*w = -q + 889227. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/22*((-21 - 23) + 32).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 229*(-5)\/(35\/(-6)). Let v = -196 + u. Suppose -o = 3*r + 20, 0*r - 5*o = 4*r + 45. Which is the third smallest value? (a) v (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/(-3))\/((-2)\/(-6)). Suppose 6*b = b + 5. Factor 2*p**4 + 3 + 0 - 5*p**2 + p**c - b.\nAnswer: 2*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47826563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 203600 - 203598. What is l in 0 + 8\/9*l - 2\/9*l**3 - 8\/9*l**s + 2\/9*l**4 = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 415 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 3 + -5 + -1*-3*(4 + (-1 + sqrt(171) - sqrt(171)) + sqrt(171)) + 4 + 2)**2.\nAnswer: 234*sqrt(19) + 1708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r + 16492 + 16*r**2 + 7*r**2 - r.\nAnswer: 23*r**2 + 16492","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126489 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - 2. Let y(s) = s**3 - 2*s**2 - 3*s - 3. Let w be y(3). Let l = t - w. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkggggkgr. What is prob of sequence kkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*r + 3 = 3. Which is smaller: 6\/59 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3\/(-3) - 0)*-8. Let f = p - -7. Solve 4*b = 3*t + f, -21 + 3 = 3*t - 5*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-60)\/25 + 0 + 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*m - 12*m. Let l(d) = -d**2 - 7*d - 5. Let y be l(-6). Which is the nearest to m? (a) 3 (b) 1\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o = 6*o. Let x(d) be the third derivative of d**2 + 1\/3*d**3 + 0*d + 0*d**5 - 1\/105*d**7 + 0 + 0*d**6 + o*d**4. Differentiate x(j) wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, 5, -7, -35, -85?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2621, -5220, -7819, -10418, -13017?\n\"Answer: -2599*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*p = 5*p + 7650000. What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000578935 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 72818*p + 290658. Determine q(-4).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 56222 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -8\/7*h**3 - 4\/7*h**4 + 8\/7*h + 4\/7*h**2 + 0.\nAnswer: -4*h*(h - 1)*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -2*c**2 - 4*c + 5. Let v be y(-3). Sort 4, 2, v, 5 in descending order.\nAnswer: 5, 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 + 14 + -7 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + y = -2*i - 6, -3*i = -y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 654717, 654921, 655261, 655737, 656349?\nAnswer: 657097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xet when three letters picked without replacement from eexeeexssstoy.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -11. Let g(n) = 4*n**2 - k*n**2 + 3*n**2. Let u(y) be the first derivative of y**3\/3 - 7. Give u(g(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 224\/3 - 74. Let s be 5 + (-240)\/39 + (-2)\/(-2). Which is the nearest to 0? (a) 4 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - -1.5. Let o(q) = -q - 2. Let y be o(-3). What is the third smallest value in m, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13971045 is divided by 364.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-5 + sqrt(162)*-3 + 0)**2.\nAnswer: 270*sqrt(2) + 1487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 4976 divided by -6603\nAnswer: -4976\/6603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*s**3\/7 - 78*s**2\/7 + 16*s\/7.\nAnswer: -2*s*(s + 8)*(5*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*y - 40401 + 46247 = 0 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 52868913?\nAnswer: 3, 1669, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -226*j - 57769. Calculate n(-258).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32207 divided by -1658.\nAnswer: -32207\/1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12 + 24. Let s(p) = -p**2 + 5*p - 2. Let x be s(4). Suppose 0 = 6*w - x*w - 16. Calculate the greatest common factor of w and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 33 (b) 2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 681, 825, 1063, 1395, 1821?\nAnswer: 2341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q**3 + 628*q**2 - 44608*q - 753088 = 0. What is q?\nAnswer: -14, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2079 is divided by 342.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -971\/12 - -81. Let c(d) be the third derivative of 1\/60*d**6 + 0 + 2*d**2 + 0*d - 1\/420*d**7 - 1\/12*d**3 + p*d**4 - 1\/20*d**5. Factor c(a).\nAnswer: -(a - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - 4. Let r = -270.05982 - -264.06. Let k = g - r. Round k to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*x + x - 4*x)*(-1 + 2 - 3) + 3*x - 3*x + x - 3*x + x + 0*x)*(13*x**2 - 13*x**2 + 7*x**4) + (4*x - x - x)*(-2*x**4 + x - x).\nAnswer: 31*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 320 + 233. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 4613*h - 142950. Give a(31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 464718\/56 + (-1 - -4). Let h = 8300 - v. What is the common denominator of h and 382\/24 - 90\/72?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1289 * -10.719\nAnswer: 13816.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 42869, -2\/5, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.2, 1\/9, 1\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + -71?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -109 + 31. Let m = s - -150. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1099414938.\nAnswer: 2, 3, 31, 419, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - (-95 - (6 + -66 + 52 - (-4 - -1))).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:26 PM and 10:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 4.3526 to two dps.\nAnswer: 4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.1537+-1\nAnswer: -0.8463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3\/3 - 8*o**2\/3 + 20*o\/3.\nAnswer: -o*(o - 2)*(o + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (75 - (-73 + 78)) + -34\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 970082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 9) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (2*u + 2*u - 2*u)*(-u - 2*u + 4*u) - 3*u**2 - 11*u**2 - u + 2*u as v*u**2 + o*u + f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*i - 68*i + 735 = -1650 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n - n = -7. Is (108 + -25)\/(n\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -27476.4 to the nearest one hundred.\nAnswer: -27500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.04174616 and -2?\nAnswer: 2.04174616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 0 + 4 - 1. Suppose 2*b = b + 2. Let t(d) = -d + 4. Give b*t(l) - 3*m(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 85\/(-272)*-42*13\/195?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**14*t\/((t*t**(-1\/13))\/t))\/(t**(-9))**(-46) assuming t is positive.\nAnswer: t**(-5186\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 234725929 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -63 + 29. Let w(t) = -33328*t + 17. Let z(f) = 199969*f - 101. Let h(g) = u*w(g) - 6*z(g). Let o be h(-6). Round o to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3ba009 (base 14) in base 4?\nAnswer: -13313302021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 55, -3, -12, -1\/2 in decreasing order.\nAnswer: 55, -1\/2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqbbqqbqqbbb. Give prob of picking 2 b and 1 q.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 183*s - 2 + 323*s + 3 - 1 to the form r*s + i and give r.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 10, v: 3, n: 4, g: 1}. What is prob of picking 2 g and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 470 divide 3679477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 237, 825, 1979, 3891, 6753, 10757, 16095?\nAnswer: 22959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 136870?\nAnswer: 2, 5, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 4*q = -60, 9*q - 4*q = l - 33. Let y = -2 + l. Calculate the remainder when (-1)\/((8\/(-22))\/4) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o + 14. Let k be h(12). Let x(c) = -3 + 4 + 0*c + k*c. What is the units digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**3 + 6*v**2. Let j be a(-6). Suppose 32 = 4*u - 4*h - 276, -2*u + 4*h + 144 = j. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3005.5 minus -20.4678928?\nAnswer: -2985.0321072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s - 2. Let g be a(-2). Calculate the smallest common multiple of 2 and -1*(g - (6 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 940 and 2538.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of -x**2 - 62 - 19\/3*x**3 + 0*x. Suppose g(k) = 0. What is k?\nAnswer: -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -8.4 and 9?\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2, 258, -14, 3, -4, 48 in decreasing order.\nAnswer: 258, 48, 3, -2, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xzxnnnzxznqzxznnrxz. Give prob of picking 1 x and 3 z.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*1*2*(-70)\/280.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0*(15\/6)\/5. Let m(l) = -l + l**3 + 0*l**3 + x*l**3 + 1 - 2*l**2. Give m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, p: 1, i: 7, u: 1}. Give prob of sequence ipd.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3)\/(7\/(28\/(-3))). Let m(h) = -3*h + 27*h + g*h + 0*h. Let s(o) = o. Give s(m(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/122368 and 50\/2151.\nAnswer: 1101312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3237)\/78 + 15 - -27)*(117 + 1 + 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-225)\/(-315)*(-1)\/(-5)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from baaayfpfa. Give prob of sequence yf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 230 (base 7) to base 16\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7.760894 kilometers in millimeters?\nAnswer: 7760894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 341908673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1031370 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -199 at most as big as -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1229, -2712, -4195, -5678, -7161, -8644?\nAnswer: -10127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mddddddddddmmddddmm. What is prob of sequence dmm?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*z**2 + 9 - 9)*(-2 + 8 + 0)*(-4*z + 6*z + z).\nAnswer: -90*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(2673))\/(-6*sqrt(275)))**2.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 4*a - 19 = 0, 9*a = 2*c + 4*a + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 1)*(-6*n**2 + 423*n - 423*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 3*c + 69 + 27 = 0, 0 = -5*r - 4*c + 155. Let q = -18 + r. Suppose q = -3*u, 3*u = -2*m + 5*u + 1340. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/392305 and -64\/775.\nAnswer: 1961525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 264263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of k**4\/4 + 8*k**3\/3 + 3*k**2 - 4*k - 3. What is the units digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*v + 11*v + 15*v - 10*v in the form h + d*v and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*g - 3*g - g + 9*g - 4*g + 19*g + (3*g - 4*g + 0*g)*(-3 - 2 + 6) - 3 - g + 3 - g + g - 2*g + (0 + g + 0)*(4 - 5 + 2))*(0*g**2 - 3*g**2 + g**2).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(162)*-2 + 1 + 1*sqrt(162))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 - 9*b**2 + 9*b - 13. Let j be o(7). Let h be 2\/4*2 - j\/12. Solve y + 2*i + h = 0, 2*y - 3*i + 2*i + 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -61351, -61278, -61157, -60988, -60771, -60506?\n\"Answer: 24*b**2 + b - 61376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -4566045 (base 7) to base 13.\nAnswer: -16cc5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26529, -52196, -77861, -103524, -129185, -154844, -180501?\nAnswer: -206156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 171784286.\nAnswer: 2, 17, 23, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = -60*a + 55*a - 5*s, 2*a = -9*s + 40 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**4 - 231*k**3 - 9*k**2 + 699*k - 462.\nAnswer: 3*(k - 77)*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9745 - -2826. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1571 (base 8) to base 10.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5022 - -5953. What is the remainder when w is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 27917.1 and 73372433.\nAnswer: 73400350.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, -1.38, 4?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 - x**2 + x. Let b be c(-2). Let a(l) = -l**2 - b*l**2 + 1 + 8*l**2. Let z be a(-1). Calculate the highest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 AM and 10:16 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132*j = -122*j - 1749830. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b + 52 = -6*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*m + 3*m + 0*m)*(2 - 2 + 1)*(-1364 + 1364 - 103*m).\nAnswer: 206*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = r - 4*m - 96, -3*m = -3*r + 156. Suppose 0 = -4*f - 66 - 10. Let l = f + r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21467217?\nAnswer: 3, 151, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0052633089 to 5 dps.\nAnswer: -0.00526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 4*o + 136, -o + 0*s = 3*s + 50. Let q(w) = -2*w + 4. Let d be q(5). Is 7 a factor of (o\/6)\/(2\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21427 + -13701. List the prime factors of g.\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3312428 (base 9) to base 8.\nAnswer: -6624177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 5*v**4 - 1 + v**3 + 3*v**3 + 3 - 2*v**3 - 5*v in the form p*v + q*v**2 + s + a*v**3 + x*v**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.12 and -0.05406.\nAnswer: 0.0064872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes after 5:29 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -3*t + 2 + 2, -k = -5*t + 8. Suppose 0 = -t*f + 6 + 12. What is the units digit of (f\/(-3))\/((-3)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.37 + -54987?\nAnswer: -54977.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 135329?\nAnswer: 135329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 1\/2 (c) -1\/6 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1 and 8.48?\nAnswer: 7.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 9) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2181148 is divided by 436227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.05 + -0.65. Let v = 0.7 + y. Which is the nearest to v? (a) 5 (b) -2\/13 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 - -2222?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -2*k**2 + k - 68 + 114 - 44. Calculate d(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 109, -62, -2\/7, -0.41 in descending order.\nAnswer: 109, -2\/7, -0.41, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -0.4, 2\/7, 1334, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-73)\/(500\/170 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 3*v = 10, -4645*t + 26 = -4641*t - 2*v for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6627373.111 rounded to the nearest 1000?\nAnswer: 6627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -46, -34, -20, -4, 14, 34?\n\"Answer: g**2 + 9*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0.844 - 2761329\nAnswer: -2761328.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (2444\/(-376))\/(65\/(-55))*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (71*19\/1349)\/((-2)\/(-48))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 885137137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do 339 and 339 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**2 - 2*l + 2. Let x(a) = -a**2 - 57*a - 12. What is -6*d(q) - x(q)?\nAnswer: -5*q**2 + 69*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5086917176.\nAnswer: 2, 11, 23, 37, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 244*d - 4688 + 540 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the second derivative of -l**4\/12 - 4*l - 4. Let k(x) be the third derivative of 29*x**4\/12 - x**3\/3 + 37*x**2. Give k(z(d)).\nAnswer: -58*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of -v**4\/12 + 2*v**2 - v. Let d(o) be the first derivative of -4*o**2 + 10. Determine d(r(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 852*h**2*k**3 + 15*h**2*k*y**3 - 7*h**2 - 2*k**4*y**3 - y**3 wrt k.\nAnswer: 5112*h**2*k - 24*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -11552.6 and -0.1.\nAnswer: 1155.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the first derivative of f**2\/2 + f - 2. Suppose 4*r - 4*s - 5 = -1, -2*r + 10 = 2*s. Let i be 6\/r + (2 - 2). Determine d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 82 - (-153821)\/(-965) - 24\/(-10).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 594816947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -495873 (base 11) to base 2.\nAnswer: -10111111010100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -208*t + 450*t - 222*t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 1:43 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 3884 divided by -4\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k + 14. Suppose 0 = -2*s + 4*u + 54, -k*u + 180 = 5*s - 2*u. What is the remainder when 17 is divided by 2\/4 + s\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2978461126?\nAnswer: 2, 1231, 1209773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**3 + 4*c**2 - 6*c - 7. Let r = -1 + -4. Let t be w(r). Does 11 divide ((-11)\/t)\/((-1)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 3*c = 9 + 34, -4*c = 4*b - 60. What is the second derivative of -22423*j + 3 + 22409*j - j**2 - 1 - b*j**5 wrt j?\nAnswer: -220*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - u + 8, 0 = 5*d + 5*u + 13 - 3. Let q(h) = -h**3 + h. Calculate the least common multiple of q(d) and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -101 + 368. Suppose -3*n - 252 = -u, 942 = 5*u + 2*n - m. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/(-7) + 1\/(-28). Let t = 4.05 - 0.05. Let v = -1 + 4. Put v, c, t in ascending order.\nAnswer: c, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1110 by -2.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 - 33*h + 4286. Give o(45).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 9 = -2*b. Suppose -v = -5*l + 795, b*v - 4*l + 25 = -2371. Round v to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11759 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/8*w**3 - 963\/8 + 1293\/8*w - 333\/8*w**2.\nAnswer: 3*(w - 107)*(w - 3)*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -147 - 5*o + 77 + 4*o + 280 + 406 to x*o + y and give y.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3672 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -110*l**6 - 68*l**5 + 2*l**4 + l**2 + 20809*l?\nAnswer: -13200*l**3 - 4080*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2\/5, 2\/51, 5 in descending order.\nAnswer: 5, 4, 2\/5, 2\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2365476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is a in 895*a**4 - 15*a**3 - 895*a**2 + 15*a = 0?\nAnswer: -1, 0, 3\/179, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*h - 23 = 31*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1445357554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8.22131 rounded to two decimal places?\nAnswer: 8.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4801 is divided by 4667?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -206527 - -206526. Let c = 4.2 - 0.2. What is the closest to b in c, 8\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 + 2. Suppose 4*y = 3*n - 7 + 27, 4*y - 4*n - 24 = 0. Put -1, y, l in descending order.\nAnswer: y, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 671860 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2848 and 400416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-1)*(-3)\/(-6). Let l be 2\/(o - 2*-1). Is -0.1 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 220 + -220.395. Let i = 0.595 + n. Which is the third biggest value? (a) -1\/9 (b) i (c) 20 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-2\/7))**39\/((j**2\/j)\/j**16) assuming j is positive.\nAnswer: j**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 24125105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.9 and -2?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -2.6114 to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.51 + 0.11. Let r = -0.40000088 - d. Round r to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -151253739, -302507472, -453761207, -605014944, -756268683, -907522424?\n\"Answer: -q**2 - 151253730*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 716*k + 58*k + 32*k - 8*k - 970*k to w + h*k and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 252933\/1064 - 4536\/19. Find the common denominator of 27\/56 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/9, 0.3, -0.1, 3, -0.52, 0, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*t**2 - 2 - t**2 + 56*t - 56*t to the form o*t + n*t**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 630\/(-165)*1848\/1008?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 83100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002821 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*s + 2*s**3 + 2*s**2 + 4*s)*(5*s + 2*s + 4*s).\nAnswer: 22*s**4 + 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -99 and -26?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 - 13566?\nAnswer: -13561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -25 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 294622965 and 2457.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 p, 1 m, and 1 y when four letters picked without replacement from ymywhhmjyhyp.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -l**4 + 37 - 72 + 6*l**2 + 28 - 16*l + 11*l - 2*l**3 in the form f*l**2 + k*l**3 + y*l**4 + p + t*l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 7.568 times -75.1\nAnswer: -568.3568","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -8*q**2 - 17*q + 21. Determine j(-6).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 5*y - 2. Suppose -3*h = -2*h - 6. Let n(d) = 6*d - 2. Let i = 14 + -9. Suppose -5*p - 60 = -5*x, -19 = p - i*x + 13. Determine h*n(r) + p*c(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1213 + -1175. Let q be 34 + 1 - (0 - 2). Let y = a - q. Sort y, 6, 4 in decreasing order.\nAnswer: 6, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -1320*l**2 + 10*l - 671. Let r(h) = 2*h**2 + 2*h + 1. Let u(f) = 2*a(f) - 10*r(f). Differentiate u(p) with respect to p.\nAnswer: -5320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27*(-7)\/42)\/((-6)\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(144\/60)*(-12)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*a + 0*a + 21*a**2 - 384*a**3 + 7*a - 376*a**3 + 44*a**2 wrt a?\nAnswer: -4560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*f - 4*f - 3*i - 7, 0 = -5*f - 5*i - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-71)\/(-781) - 120\/(-11)) + (1 - 4). Solve -z*j = -703 + 671 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-16)\/4 + 0 + 3. Let l be ((-80)\/6 + -3 - i)*-54. Suppose 0*b - l = -6*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**2 + 6*d + 8. Let y be m(7). Which is greater: -1\/11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 62061 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 + 14*t - 7. Let o be j(0). What is the closest to 3 in 0.4, 5, 4\/9, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 36 and 68436?\nAnswer: 68436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-43)\/(-5) + 14\/35. Suppose -w + 4*w - h = 0. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -169\/30 and (-3 - 219\/(-6))\/(5 - (-51 - -9))?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4895.9872 + 4876. Let p = 5 + 15. Let u = a + p. Round u to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in 4*g**5\/3 - 388*g**4\/3 + 6092*g**3\/3 - 32828*g**2\/3 + 24256*g - 18960 = 0?\nAnswer: 2, 3, 10, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from jctjjrcrcjjcrrrcc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12431*i**3 + 54*i - 2?\nAnswer: 74586*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 80 + -62. Let f be 66\/o + 0 - 1. Determine k, given that 8\/3*k - 8\/9*k**4 - 8\/9 - 2\/9*k**2 - f*k**3 = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - c - 18 = -5*c, -3*p - 3*c = 0. Let t be (5\/15)\/(p\/(-54)). Does 4 divide (-3)\/t - 44\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 148*h + 214*h - 64*h as b + c*h and give c.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.195864205 - 1.5?\nAnswer: -1.304135795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - 1. Let q be (14 + 1)\/(-5)*-1. Solve 0*s + q*s = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 15750708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (2407 - 2395)\/((-60)\/112 + (-8)\/(-28))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -9471, -31644, -66515, -114084, -174351, -247316?\n\"Answer: -6349*b**2 - 3126*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0\/4 - 10)\/((-3)\/(-18)*15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -13, 359603, 5, -1 in increasing order.\nAnswer: -13, -1, 5, 359603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n**2 - 17*n + 64. Determine m(-21).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 430 = -5*u, 5*u - 224 = -h - 666. Let q = 25 + u. Let s = q + 101. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 + 20*k + 20. Let p be o(0). Let u be (-10)\/(-4) + ((-110)\/p - -6). Suppose 0 - 9\/5*n**2 + 3\/5*n**u + 6\/5*n = 0. What is n?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 825.78 milligrams in micrograms?\nAnswer: 825780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*d**6 + 3*d**5 + 65*d**3 + 465*d**2 + 5*d wrt d.\nAnswer: 480*d**3 + 180*d**2 + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29003140 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10785 - 43141\/4. Sort 3, p, -16\/9, 0.3, 1\/3.\nAnswer: -16\/9, p, 0.3, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 47592 and 302738?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of o**5\/120 + 11*o**4\/72 + 31*o**3\/36 + 7*o**2\/4 - 166*o. Find d such that m(d) = 0.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 3*u. Let i be (u - 9\/(-66))*-2. Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 656025195 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 101081640 and 2640?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -41\/6. What is the smallest value in -5\/6, d, 5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-4) - 2\/8. Let o(k) = 0 + 0 - 2*k + x. Let f(b) = 4*b. Give f(o(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.042 - 2.958. Which is the biggest value? (a) -0.6 (b) u (c) 1\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*a**2*i**2*k**2 + 410291*a**2*i*k**3 + 14*a**2*i*k - 211*a*d*i**3*k**3 - a*d*i**3*k**2 + 96*d*i**3*k + d*i wrt k.\nAnswer: 2461746*a**2*i - 1266*a*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*y + 8*y**2 + y**2 + 4*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(2 + sqrt(13)))**2*3.\nAnswer: 12*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 + (-1 - -4) - 0) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6695*n**5 - 77*n**4 + 18*n**3 + 526*n**2 + 211241?\nAnswer: 401700*n**2 - 1848*n + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1504, -3309, -5118, -6931, -8748, -10569?\n\"Answer: -2*l**2 - 1799*l + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/33, -0.1, -2 in decreasing order.\nAnswer: -0.1, -4\/33, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the third derivative of -x**6\/40 - x**5\/20 - 13*x**4\/24 - 2*x**2 + 12*x. What is the second derivative of y(f) wrt f?\nAnswer: -18*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f + 5*y + 50, f - 20 = 4*f + y. Let j(a) = -a**3 + 1. Let m(s) = -6*s**3 - 4*s**2 + 2*s - 2. Let p(x) = -5*j(x) + m(x). Give p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23904 - 47931 + 2*w + 24027.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from gcaagaguccaaaa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 181*f**2*s*x**3 + 59*f**2 + 5*f*x**2 + f - 3*s*x**4 - 2*s*x wrt x.\nAnswer: 1086*f**2*s - 72*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 39\/18 + (-9)\/54. Suppose n*t - t = 19. Suppose 0 = z - 98 + t. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 PM and 3:58 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9165\/29 + 316. Let h = 33\/116 + o. Put 0, -1\/2, h in increasing order.\nAnswer: -1\/2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 5:28 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2528)\/(-40) + (-1)\/5. Let t = 63 - b. Suppose -2\/11*u**4 + 2\/11*u**2 - 2\/11*u + 2\/11*u**3 + t = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 389094691\/14 + -27808757. Let k = -16272 - a. Find the common denominator of k and (-3 - 926\/(-200)) + -1.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/2664 and 145\/370296.\nAnswer: 370296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 294 (base 10) in base 7?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13 - -13. Let i(l) = l**2 + l + 19. List the prime factors of i(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 26149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.4 - -0.37. Let c = 202 + -202.0372. Let q = c - w. What is q rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -3) + (-10 - (16 + 14 + -31)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (148\/(-264))\/37*6*(-1 + 2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**2 - 301*v + 2461. Give p(8).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 45239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g + 0*g - 17*x = -19*x - 174, 4*x + 61 = g for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 3) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 71 - 68. Let b be (2 + (-2)\/(-1))\/(a + -5). Let x be -1*(1 - 4\/(-16)). What is the third smallest value in -3\/2, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 9*x - 14. Solve -a + 3*v - 12 = 0, 4*a - v - x*v = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1851729 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**3\/13 + 369016*i**2\/13 - 17022339040*i\/13 + 68083452032\/13.\nAnswer: -2*(i - 92252)**2*(i - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 10 = 4*w - 7, 0 = -5*w + t + 28. Let x(n) be the third derivative of -4*n**2 + 0 + 1\/40*n**w - 1\/4*n**4 + 3\/4*n**3 + 0*n. Solve x(i) = 0 for i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-6*(1 + sqrt(245)) - (-2 + 3 + sqrt(245)))**2 + 2.\nAnswer: 686*sqrt(5) + 12058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 350, -3 in descending order.\nAnswer: 350, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 23211240 (base 5) to base 10.\nAnswer: 210195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -47.4023 and 220137.\nAnswer: 220089.5977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-3)\/2)*(-57)\/(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 9*u + 3. Suppose 30*b = 35*b - 45. Let p be t(b). Solve -5*o - 8 = -w, 0*o - p*w = 4*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 31794 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 5:09 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(-5915) + 8\/(-80)*0. Let p = i - -41499\/278005. Find the common denominator of p and 31\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2\/17 (b) 3 (c) -1\/5 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*1*(-1)\/(-6)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1706 or -6?\nAnswer: 1706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -f - 15, -f + 9 = 2*p + 35. Let u = -11 - p. Suppose 4*j + 2*m = 80, 3*j + 0*m + 2*m - 60 = u. What is the highest common divisor of j and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-13*1\/(-2)*56\/98)\/(2\/(-14))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(162)\/sqrt(9).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 99*p + 8. Calculate x(3).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 9044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.467 in 0.5, -5, -1\/5, -2\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + l = -2*l - 9, -4*l - 11 = -r. Suppose -3*g - r = -129. Suppose 2*b - c = 4*b - 12, 24 = 4*b + 4*c. What is the greatest common divisor of b and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/655 and 37\/8515.\nAnswer: 8515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -68\/88827 and 87\/20420.\nAnswer: 1776540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 4*z - 164 = -33*z. Let k(a) be the second derivative of 0*a**2 + 4\/3*a**z + 12*a + 0 + 29\/6*a**3. What is the second derivative of k(j) wrt j?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1377 + -1179. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -171 + 87. Let x = 66 + q. Let t = 17 + x. Which is smaller: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1733, -2043, -2881, -4511, -7197, -11203?\n\"Answer: -44*m**3 - 2*m - 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence av when two letters picked without replacement from {y: 3, a: 1, v: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**3 + 2*q**2 + 2*q - 1. Let i be (-69)\/(-6) + 3\/(-6). Let y = i + -9. Suppose -y*c = 2*a - 12, 4*a - 3 = c + 2*c. Calculate r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes before 12:10 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**0)**(-7\/6)\/(j*j**(2\/17)*(j\/(j*j**6))\/j))\/((j**0)**(-45)*j**(2\/15)*j**(7\/2)) assuming j is positive.\nAnswer: j**(1147\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 120 (base 13) to base 15.\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -5*s + 6 + 3, -3*q = -6. Suppose 5*l + 3*z = 8, 5*l - 6*z = -2*z + s. Let p = 3 + l. Solve f + v + 20 = -4*v, -5*f - p = v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 56 and 8792.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3862144523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.076 in 5, 3\/115, 0.1, -1\/5?\nAnswer: 3\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/3 + 2\/3*s**3 + 4\/3*s**2 - 2\/3*s.\nAnswer: 2*(s - 1)*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 36907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.5 and 5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 42*l - 2680702 = -874633. List the prime factors of l.\nAnswer: 3, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 169615 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -46*m - 22 - 16 - 104*m + 37 as n + p*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -a + 50. Let y(z) = -z**3 + 16*z**2 + 19*z - 25. Suppose -2*s + 34 = -3*v - 9, -4*s - 5*v + 53 = 0. Let n be y(s). Is a >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55382024 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is the derivative of f**3*s**2 - 548*f**3 + 2*f**2*s - 13*f - 8028*s**2 wrt s?\nAnswer: 2*f**3*s + 2*f**2 - 16056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**2 + r + 2. Let n be s(0). Suppose 2*z + n*z = 3*m + 49, 14 = -2*m - 2*z. Let b be (-24 - -24)*(-2 + (1 - 0)). Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = x - 1. Solve 4*s + 0 + 11 = x*j, 5*j - 15 = 5*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3\/9 - 13816*g**2\/9 + 7112704*g\/3 + 992299520.\nAnswer: 2*(g - 3624)**2*(g + 340)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -2*p. Suppose -2*f = f - 6. Let o = f - 0. Let l(k) = -o*k - 2*k + k. Determine y(l(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 9*w - 18. Let y be o(6). Suppose -2*h = -4*h + y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the second derivative of 0 + 0*j**2 + 1\/2*j**3 - 43*j. Let v(b) = 18*b. Calculate z(v(s)).\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13727 + 26*d**3 + 39687 - 28*d**3.\nAnswer: -2*d**3 + 25960","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be -4*(-3)\/(-6) + 0. Let p(c) = -c**3 - c**2 - c - 4. Let d be p(0). Which is greater: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/6 - (-15)\/(-18). Which is the closest to 0.2? (a) -3 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 56.45766 centuries to months.\nAnswer: 67749.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 448 * -0.5\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p = 6*p - 2. Let a be 5\/(p\/(0 - 2)). Suppose 4*i + 2*r = i + 58, 0 = a*i - 3*r - 65. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 496\/11 (b) -0.16 (c) -2 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -10*y + 19. Calculate o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3367*i + 2*i**3 - 3349*i + 6716*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 134*x + 0 - 136*x + 3*x**2 + x**4 - x**3 - 12*x**2 as u*x**4 + a + o*x**2 + h*x + w*x**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2783, -5092, -7415, -9758, -12127?\n\"Answer: -c**3 - c**2 - 2299*c - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c - 6*c = 15. Suppose 0 = 3*b + 2*n - 9, -4*n - n = 5*b - c. Let y be (-3)\/(0 + (-1)\/b) - 1. Solve 4*d - 5*i = -i - y, -2*i = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2996262624 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 - 2*y - 2. Suppose -2*v - 1 = -21. Suppose -5*c - 5*i = v, -2*c + 5*i + 14 = -3*c. Let t(f) = 1. Let n(b) = c*d(b) + 2*t(b). Factor n(w).\nAnswer: -w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -0.1, 29, -7\/26, 0, 1 in increasing order.\nAnswer: -7\/26, -0.1, 0, 0.5, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1319.072186 + -1319. Round q to three dps.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*k + 35 = 2*i + i - i - 3*k - 75, -k = 0 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-7)\/14 - (51\/6)\/1. Let a be -3 - ((-6)\/p + 655\/(-15)). What is the greatest common factor of a and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d - 2. Let z(u) = u + 2. Let a be z(-4). Let i(y) = 2*y - 1. Let h(c) = a*o(c) + 3*i(c). Suppose -4*x - 23 = j - 0*x, 5*j = 3*x. What is h(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 4*t + 6, -8*t - 4 = -3*m - 3*t. Let f = 126 + -126. Which is greater: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -39\/10 and ((-423)\/54)\/(20\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 107 - 106.518. Let u = 0.58 - b. Let x = -0.498 + u. What is the closest to 1 in x, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 1438*t**5\/5 - 707486*t**4\/5 + 14429724*t**3\/5 - 19991132*t**2 + 231617414*t\/5 + 323106 = 0.\nAnswer: -5\/719, 7, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/(w*w**(1\/15))*w)\/w*w**(-1\/11)\/w)\/(w**(2\/45)\/w*w**(-11)))**(-34) assuming w is positive.\nAnswer: w**(-36346\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 238 + -a?\nAnswer: 22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 11557\/8, 95 in increasing order.\nAnswer: -5, 95, 11557\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes before 12:43 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -6\/31 (b) 10 (c) 2 (d) 4 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 514*k - 388*k - 1125601 - 481529 = 0. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.08 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2.16 and -228285484?\nAnswer: 228285486.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-9)*(u\/(u*u*(u*u**0*u*u)\/u))\/u*u)\/(u**7\/u**(-6)) assuming u is positive.\nAnswer: u**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2019603*l**3*t**3 - 3*l*t**3 - 5*l*t**2 + 6*t**3 - 6*t - 66 wrt l.\nAnswer: 12117618*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 48502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.26 - 0. Let d = -0.74 + w. Let p be (-2)\/4*(-8)\/6. Sort p, 1, d in increasing order.\nAnswer: d, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*a**3 + 0*a**3 - a**3 - 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -451 by -713.\nAnswer: 451\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150 divided by -128.\nAnswer: -75\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(13) + (sqrt(156)\/sqrt(4))\/sqrt(3)) + 2*sqrt(13) + -3 + 0)**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 2112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-x**2 - x**2 + 3*x**2)*(-3*x + 1 - 1)*(1 + 2 - 4) to the form p*x**2 + b + w*x**3 + d*x and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 27477 and 12212?\nAnswer: 109908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(-4) - 2\/8. Let s be (-2 - -1)\/(5\/(-10) - a). Suppose 4 = p + s*n, 60 = 3*p + p - 3*n. What is the remainder when 23 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 - 30*d**2 - 26*d + 98. Suppose 0*y + y = -29. Let c be w(y). Solve -5*p + 0*u + 1 = u, 3*p - c = 2*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 36610366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) -5\/2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rggg when four letters picked without replacement from {g: 4, m: 2, r: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l**(1\/42)\/l))\/l)**(3\/19) assuming l is positive.\nAnswer: l**(41\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - 1 - (8 + 23 - (-1 + 4)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2\/7 (c) -2 (d) -6 (e) 9.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 66 + -12. Suppose 0 = 2*w - 34 - f. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4.048 + -0.952. Sort -3\/2, a, -1, 109 in ascending order.\nAnswer: a, -3\/2, -1, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -225249172, -225249175, -225249180, -225249187, -225249196, -225249207?\n\"Answer: -h**2 - 225249171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 23603.81 millimeters?\nAnswer: 0.02360381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13911*-0.1.\nAnswer: -1391.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2572 - -5321\/2. Let z = 88 - j. Let g = -1 + 1.4. Which is the nearest to g? (a) -5 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -13*u + 27. Let p be x(2). List the prime factors of (p\/(-4))\/((-43)\/46268).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 231, 939, 2131, 3813, 5991?\nAnswer: 8671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 157704333 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 629 is divided by 306.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (0 - 8) + 0 + 7 + (3 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 4*k - 71 = 0, 0 = 273*z - 268*z + 2*k - 53. Determine t, given that -1\/5*t**4 + 396\/5*t - z*t**3 - 286\/5*t**2 + 648\/5 = 0.\nAnswer: -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/(-108)*1*2*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 48767172*u + 1. Let y be d(1). Suppose 15567173 = -4*g + y. Round g to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -95*m + 436. Let w(a) = 47*a - 218. Let b(f) = 4*u(f) + 9*w(f). Let n be b(5). Do -4 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -149145, -597201, -1344171, -2390055, -3734853, -5378565?\n\"Answer: -149457*l**2 + 315*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -531*z = -306258 + 322719 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 AM and 11:49 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/7)\/j**3)\/(j**(-9)\/((j**(-1\/6)*j)\/j*j)) assuming j is positive.\nAnswer: j**(293\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 652928088.\nAnswer: 2, 3, 1303, 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/(-20)*(-1)\/((-2)\/528). Suppose v - 73 = 2*v + 2*p, -4*v - 4*p = 296. Let j = v + a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 79, 248, 527, 910, 1391, 1964?\nAnswer: 2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2795 and 152435?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*((d\/d**(-1))\/d)\/d)**(7\/3))**(-8\/7)*((d**0)**(-2\/77))**18 assuming d is positive.\nAnswer: d**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/5*(-60)\/(-18). Suppose 0 = n - 1, -2*n = -g - h*n + 39. Calculate the greatest common factor of 148 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.303 (b) -0.5 (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -30873, -62008, -93407, -125064, -156973, -189128, -221523, -254152?\n\"Answer: p**3 - 138*p**2 - 30728*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3323721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.79655 and -0.5?\nAnswer: -0.398275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 624054 and 298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*n + 16*n - 28*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 33\/4, -10\/7, -0.2, 5 in decreasing order.\nAnswer: 33\/4, 5, 4, -0.2, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 23, 29\/5, -3?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**3 - 6*c**2 + 5. Let l(p) be the second derivative of p**4\/12 - p**2\/2 + p - 40. Let z = 9 - 14. What is z*l(s) - x(s)?\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3901 = 5*j + 4*o, 3*j = -2*j + 2*o + 3907. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzu when three letters picked without replacement from uuuuuuuzzuu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 0 - 51*q**2 - 6905453999*q + 18*q**2 - 3 + 6905453999*q.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 115672, 115670, 115668, 115666?\nAnswer: 115664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 48 - 55 - (-4 - -1 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.07 - -14.07. Let y = 308 + -294.1. Let t = v - y. What is the closest to t in -0.5, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4063 and 26051.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((24\/12)\/(-4))\/(((-19)\/1482)\/(-1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -4*h**4 - 313892*h**3 + 8794268*h**2 + 169256388*h + 646220232 = 0.\nAnswer: -78501, -7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -f + 4*f. Suppose q + f*u - 36 = 0, 3*q - 4*q + 2*u = -6. Let c(i) = i**3 - 4*i**2 + 6*i - 2. What is the smallest common multiple of q and c(4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 12:39 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 27010 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is m in 2*m**2\/7 - 36*m\/7 + 162\/7 = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -25*r + 74*r - 23*r - 3 - 5 - 2*r + 5 + (4 + 0 + 3)*(-2*r + 2*r - r) in the form q*r + h and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be 126\/15*(-25)\/(-10). Which is bigger: 20 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 22.501 (c) -1 (d) -2\/15 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (((-18)\/(-16))\/(-3))\/(-3*14\/28)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 + 85\/12)*-4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 129 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 333 - 380 + 0*h + 3*h.\nAnswer: 3*h - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 104 = -2*z. Let k(x) = 111*x + 16353. Calculate the least common multiple of z\/4*8\/3 and k(-147).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*f + t - 6 + 8, 2*f - 2 = -4*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 74 and 16?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 + 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.186 + -7461159545.81?\nAnswer: -7461159545.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1382, 5530, 12442, 22118?\n\"Answer: 1382*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*x**3 + 2*x**3 + 4597*x - 4597*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 4219.781 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -73452 (base 8) to base 15\nAnswer: -908b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*65\/75*474\/1027 + (-37)\/1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 5342, 5354, 5358, 5354?\n\"Answer: -4*a**2 + 24*a + 5322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1837 + 1840. Solve -381*d - x = -380*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 119 - 105. Sort q, -1, 0.3 in ascending order.\nAnswer: -1, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -35, -38, -41, -44, -47?\n\"Answer: -3*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 10 + 0 = 0. Does 12 divide -13*(c - 5) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 2*v**2\/5 - 1780112*v + 1980499207840 = 0.\nAnswer: 2225140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 128c9 (base 15) to base 6.\nAnswer: 1134500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*s, 5*s = -v + 7*s + 19. What is the greatest common factor of v and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**2 - 2347383*k - 7042176.\nAnswer: 3*(k - 782464)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.09 + -2.49. Let p = -0.2 + d. Let v = p - -1.6. Which is the third biggest value? (a) -3\/5 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/7 and 145\/503118.\nAnswer: 503118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 117*q*t**2 + 271*t**2 wrt q?\nAnswer: 117*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10)\/4*(2 + 1 + -1). Does 9 divide (-136)\/f + 3\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14 - -45. Let h = -35 + d. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1194977 is divided by 602.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-450)\/(-24))\/25*12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xbbbxbb. Give prob of picking 4 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -90 - ((-19 - 17 - -21) + 0)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrllrvrlr. Give prob of sequence rv.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -18644 and 0.2.\nAnswer: -3728.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -910 by 65994.\nAnswer: -455\/32997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/10)\/(-2*(-5)\/(-75)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4264, 4245, 4200, 4117, 3984, 3789, 3520?\nAnswer: 3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + g**3 + 0)*(-3*g**2 + g**2 + 0*g**2) + (0*g**5 + 4*g**5 + 0*g**5)*(1 + 4 - 3).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55838779?\nAnswer: 23, 2427773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-295944)\/(-78) - (3 + 3). Let t = r - 3790. Is -1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 141.4 + -146.4. Which is the second biggest value? (a) x (b) -3 (c) 2\/21 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -15*t - 9 - 2*t + 7 as w + u*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - -14)\/((-2 - -1) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000031497 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jfgfefdgdffggd. What is prob of picking 2 f?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 - 4*t - 3. Let v be m(-3). Suppose -3*a - a + 5392 = v. Suppose k + 3*k = a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 6:15 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21 + 14. Let y(i) = -17*i. Let q(f) = -37*f + 10. Let g(k) = -q(k) + 2*y(k). Calculate g(j).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3851574 (base 9) in base 7?\nAnswer: 23566360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y**3 + 3861471*y**2 + 3861471*y**2 - 7722942*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 38772845*z - 54933414.\nAnswer: 38772845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 86554927387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-9 - 4*j + 9)*(1 - 2 + 3) + 7 + 8 - 16 + 31*j as w + q*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1048 = 4*i - 4*w, 4*i - w = -0*i + 1060. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 633069056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes before 4:43 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 82 = -4*r + 2*n + 68, 4*n + 8 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 204\/26 - 2000\/250?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -799*w = -339*w + 491*w + 27579 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j*j\/(j*j*j**(2\/49)\/j)*j)**(2\/9) assuming j is positive.\nAnswer: j**(388\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 19 + 2 = 2*s, -5*v - 5*s - 10 = 0. Let m = 14 + v. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24992.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100221001 - 100?\nAnswer: -100221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.06 + -7.94. Let r = -26 + 11. Let k = z - r. Sort -4, 2\/19, k.\nAnswer: -4, 2\/19, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -213, 4, 0, 10, 1, 13 in descending order.\nAnswer: 13, 10, 4, 1, 0, -4, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 312273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2425 - 1362 = -p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 + 8. Suppose -2*v + 197 = -0*v - i, m*v + 5*i - 179 = 0. Calculate the remainder when v is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/3, -120.361, -2\/7 in decreasing order.\nAnswer: -2\/7, -4\/3, -120.361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2144307 divided by -64979.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 756 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.9 + 1.7. Let d = -1 - -0.8. Let y = d - -0.2. What is the nearest to y in -2, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 7) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 4*r = -82, -2*z - 8*r = -3*r - 87. Are 32 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i - 2492 + 1992 = 0. What is the common denominator of i and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.45 + -0.55. Let g = 4 - 2. Suppose -g*z - o + 19 = 3*z, -5*o + 11 = 4*z. Sort 1, n, z in increasing order.\nAnswer: n, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 113439831, 113439829, 113439827, 113439825?\nAnswer: 113439823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 + -301.\nAnswer: -301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the second derivative of -3*f**5\/10 + f**4\/12 + f**3\/3 + f**2\/2 - f. Suppose 3*j - 6 = j. Suppose -j - 2 = 5*h. What is l(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 750 divided by 75.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 156 - -65. Let h(s) = -i + s**2 + 221. Let m(l) be the third derivative of l**5\/60 + 5*l**2. Give m(h(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1632 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6818599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-1\/3))\/(q\/(q*q*q*q\/q**(-2\/9)))*(q*q**(2\/13))\/(q*q\/((q*q**(2\/9))\/q)) assuming q is positive.\nAnswer: q**(460\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1, 1292, 0 in ascending order.\nAnswer: -1, 0, 5, 1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the third derivative of v**7\/70 + v**5\/20 + v**2. Find the third derivative of f(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(700) + 1 + 4)*1)**2.\nAnswer: 900*sqrt(7) + 6525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 70 + -43 + (45 - 35)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -610*m + 1. Let b(f) = -8*f**2 + 192*f + 24. Let g(c) = -c**2 + 16*c + 2. Let a(h) = -b(h) + 12*g(h). Calculate d(a(r)).\nAnswer: 2440*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 64*-13.\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3513658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 + 39. Let l(u) = -u**2 - 13*u - 17. What is the remainder when f is divided by l(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6d69a37 - 2?\nAnswer: -6d69a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 6, g: 13}. Give prob of sequence igig.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -4*q**2 + 21*q - 4. Determine r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 3\/3261074?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -u + 5*u. Let j be -2 - (-4)\/8*u. Let b = 1.1 + 4.9. Which is bigger: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -60.29, 1.3, -1\/4, 0.2, 0.4 in decreasing order.\nAnswer: 1.3, 0.4, 0.2, -1\/4, -60.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -12*x**2 + 2*x. Let h be i(-2). Let v = -36 - h. Solve v = -o + 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -9*r - 20. Let i be a(-8). What is the highest common divisor of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -45\/6752152 and 29\/3878.\nAnswer: 47265064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 0.9153 at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 2*a - 6*a - 98, -v + 4*a - 34 = 0. Let x be (-1*120\/(-9))\/(2\/6). Let w = x + v. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.854 - 0.554. Let w = 60 - 52. Put w, -3, v, -0.03 in decreasing order.\nAnswer: w, v, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.232768 in 3, -1\/7, -2\/5, 0, 1\/8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 55533501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 4*o**3 - 3. Let t(x) = 5*x**3 - 4. Let n = 330 - 327. What is n*t(s) - 4*q(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 377674 minus -59?\nAnswer: 377733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 160794028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*l + 5*u - 21, 0 = 3*l - 7*l + 3*u - 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 - 3*x**2 + 3*x - 4. Let z(l) = -l + 1. Let p be z(-4). Suppose 21 = p*t - 4, -4*g - 5*t = -9. Let f be j(g). Solve -h - h = f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 488*q + 130*q + 1440 = 95*q - 3267 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 22 - 11. Let x be (-6)\/(u\/(-2) - -1). Let g(m) = m**3 + 7*m**2 + 6*m. Let s be g(-6). Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - 10332333220?\nAnswer: -10332333222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 750.6459kg in tonnes?\nAnswer: 0.7506459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x + 14*x - 1460 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -0.07 (b) 92\/51 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23291 + -23298. Sort i, 5, -29.8 in ascending order.\nAnswer: -29.8, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 + 212 = -2*a. Let n = -908\/7 - a. Find y, given that -n*y**3 + 0 + 0*y + 2\/7*y**5 - 2\/7*y**2 + 2\/7*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -15*s**4 + 2200*s**3\/3 - 22955*s**2\/3 - 104260*s\/3 + 125060\/3 = 0.\nAnswer: -37\/9, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 55 = -0*j - n, 3*n - 48 = 3*j. Let i = -8 - j. Suppose -380 + 50 = -i*z. Calculate the highest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -94549975 by -18909995.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -104217*n**2 + 3961*n + 1178443789.\nAnswer: -208434*n + 3961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14940, 15147, 15664, 16647, 18252?\nAnswer: 20635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 45 and 7695.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8175 and 3161.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10118 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1 (b) -317 (c) 3 (d) 2 (e) 1 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1015, -1043, -1135, -1327, -1655, -2155?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*k**3 - 7*k - 314 - 13*k - 33*k**4 + 20*k wrt k.\nAnswer: -132*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - 5 - (4 + -6 + 3 - -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8076, 8086, 8110, 8154, 8224, 8326, 8466?\nAnswer: 8650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -19 less than 0.07?\nAnswer: 19.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 181163 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/1168 and -81\/292.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -321923313*v. Let o(x) = -x. What is d(o(h))?\nAnswer: 321923313*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*u = -35*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-3)\/(x**(-2\/5)*x*x)*(x**(-1\/2))**(-1\/48)*(x**4*x**(1\/2)*x)**(33\/2) assuming x is positive.\nAnswer: x**(41357\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(42)*1 + sqrt(168)\/sqrt(4)*4)\/(-1*(sqrt(486)*2 + sqrt(486) + ((sqrt(6) - (sqrt(6) + (sqrt(12)\/sqrt(2) - sqrt(6)))) + sqrt(6))*-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 2*f**3 + 185*f**2 - 447*f + 2666. Calculate p(-95).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.06 + 0.06. Let z = -6 - n. Which is the closest to 1? (a) z (b) 4\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + -407?\nAnswer: -40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2243021 (base 6) in base 10?\nAnswer: 114709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 216204292.\nAnswer: 2, 31, 127, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3138*m - 2858*m - 15120 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y - x - 35 = 0, -1 = 560*y - 561*y - 5*x for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 1131575.\nAnswer: -3\/1131575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -1.1. Let n = 1.1 - o. Let w = 294 + -293.9. Sort w, n, -5 in decreasing order.\nAnswer: n, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -2*c - 2. Let i be l(-2). Let y(v) = -2 + 3 + v - i*v**2 + v**2. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00018578 rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + 1 + -4 + (-14 - -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 7 - 3 = 0. Let l be (q\/(-8))\/((-4)\/(-80)). Suppose 0 = n + 5*x - 52, -2*n + 109 = -0*x + l*x. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -52 + -1c?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from xxhhx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/6 (c) 0.3 (d) 11176 (e) 6\/5 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -21*h + 18. Let p(f) = -7*f + 6. Let z(m) = -17*p(m) + 6*x(m). Suppose -11*v + 16 = 104. What are the prime factors of z(v)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - -1)\/(-1 - 7\/7). Let u = 477 - 1897\/4. Let l = u + -5\/4. What is the closest to y in -0.4, -4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 542\/5 + -108. Let f = 10 - 6. Let d = 0.3 + -0.2. Sort x, f, d in ascending order.\nAnswer: d, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -23*m + 2. Let z be ((-4)\/(-3))\/((-8)\/(-72)). Suppose 0 = 4*s + z - 4. What is the tens digit of a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2\/2 - 180*a.\nAnswer: -a*(a + 360)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 520038515 to the power of 1\/2, to the nearest integer?\nAnswer: 22804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 37.\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 10, 25, 34, 37?\n\"Answer: -3*x**2 + 24*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 98264446 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(20)*-5 - (2*sqrt(180) + -4)**2.\nAnswer: -736 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3861966079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r + 3*r - 6 - 3*r + 0*r. Let m be g(-10). What is the smallest value in 0.3, 3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 458 (base 9) to base 4.\nAnswer: 11321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 2*g - 18. Let m be q(7). Let j be (-30)\/m*(-56)\/70. Let o(y) = y + 3. Give o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/98274150 and -173\/6420.\nAnswer: 196548300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.74 (b) 2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 50357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3408 take away 616095?\nAnswer: -616095.3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 538*w + 529*w - 941*w = -5373 - 6723 for w.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**20\/c*c)*c**(-1\/11))\/(c**(7\/5))**10 assuming c is positive.\nAnswer: c**(-364\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 9*f**2. Let z(p) = 1976623*p. Determine z(c(m)).\nAnswer: 17789607*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, -2, -82.9, 1\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -53 or -56?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 - 16 = -2*w. Calculate the common denominator of -52\/9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42 + (-42 - -43 - 45) + 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 516 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -27 - -26. Let u = 4 - g. Suppose -u*i = -3*q - 22, 4*i = 5*q - 0*q + 15. Calculate the highest common factor of q and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72374 is divided by 2469.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(-5)\/q)\/q*q\/(q*q\/q**(1\/26))*q**(-10)\/(q*q\/(q\/q**(3\/13))))**12 assuming q is positive.\nAnswer: q**(-2838\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + t = -67, 0*t = 5*a + 2*t - 119. Let g = a - 20. Solve -i + 1 = -b, 0 = b + g*b + i - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14089 is divided by 4586.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7065 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/6 and 43\/236?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110) - 4*sqrt(110)*-3)\/(sqrt(10) - (sqrt(10) + sqrt(70)\/(sqrt(343) - sqrt(7)))) + -1.\nAnswer: -78*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 1 - 127*u**3 + 121*u**3 + (-12 - 11*u + 12)*(-3*u**2 + 2*u**2 + 2*u**2) as r*u**3 + q*u + k*u**2 + c and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2565*o = -503*o - 72170 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 23\/8 - 7\/(-56). What is the nearest to p in 1\/2, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 3*o = -1068. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/21 + 9\/(-7). Let q = 2 - 1.6. Let y = 111 - 552\/5. Sort y, q, u in decreasing order.\nAnswer: y, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8976483 divided by 1?\nAnswer: 8976483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -128 divided by 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + (sqrt(2736) + -1 - sqrt(2736)))*2 + 3 + (sqrt(931) - sqrt(931)*-2) + -4)**2.\nAnswer: -378*sqrt(19) + 8460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6ba92 + -a36?\nAnswer: -6c6c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 4*r + 4 = 0. Let c be 2\/(-20) + 2728\/880. Suppose -r*p + 2*a = -2*p - 318, 482 = c*p - 2*a. List the prime factors of p.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q - 4*p = -3*q - 64, 2*q - 52 = 5*p. Suppose -9*g = -q*g. Solve -l + 2*l + 5 = g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 873485183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 230 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*m - 20*m + 4*m.\nAnswer: -52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + 2*sqrt(72))*4)**2*4.\nAnswer: -7680*sqrt(2) + 20032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -40447 + 79199. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from iiiiiiimammiiaiimmi.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -10714, -21880, -33046, -44212, -55378?\n\"Answer: -11166*o + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 930\/496*(-4)\/(-9).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 187652387, 187652385, 187652383, 187652381, 187652379?\nAnswer: 187652377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 343037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 20254101 (base 6) in base 13?\nAnswer: 175372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -6*k + 2. Let t be h(-1). Suppose -w = 0, 6*n - 3*n = -5*w + 15. Suppose 10 - 30 = -n*p. Solve p*b - t = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -220 + 220 + 55*q**3.\nAnswer: 55*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 64 - 60. What is the third derivative of -20*b**2 + a*b**6 - 10*b**6 - 6*b**6 wrt b?\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 - 4*j. Let h = -28 - -25. Determine o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 512959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -550, -561, -558, -535, -486, -405, -286?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 211 = 5*r + 33, -3*s - 3*r = -228. What is the highest common divisor of s and 2054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 34.278 + -34.678. What is the smallest value in 28.3, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 210*z**3 - 2*z**4 + 7*z**2 - 210*z**3 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0045734069 rounded to six decimal places?\nAnswer: -0.004573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 17706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n - 4. Let v be a(-7). Let k be v - 0\/((-3)\/(-3)). Suppose 0 = 5*g - 4*p - 68, 7*p - k*p - 52 = -5*g. Solve i - g = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1268392717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1315525*o - 438522*o - 438529*o - 438472*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y**4 - 11451*y**3 + 519669*y**2 - 6565293*y + 15328278 = 0 for y.\nAnswer: -3862, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -214 - -4?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -27573 divided by 6798?\nAnswer: -9191\/2266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 510811 is divided by 11513.\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(1 - -3)*-21. Let c = -18 - b. Is ((-2)\/c)\/(2\/(-537)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 211629391.\nAnswer: 19, 47, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50 + -121. Let s = -49 - g. What is the lowest common multiple of s and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82 + 0 = 2*g. Let l be (1 + 5)*(-2)\/(-3). Suppose 26 = 4*i + 2*p, -l*i + 2*p = p - g. What is the greatest common factor of i and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r - 1. Let t(a) = -4*a + 6. Let m(u) = t(u) + 6*z(u). Let n(f) be the third derivative of f**4\/6 + 3*f**3 + 30*f**2 + 5*f. Determine n(m(h)).\nAnswer: 8*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*((b\/b**(-2\/3))\/b*b)\/b)\/b*(((b\/(b\/b**0))\/b)\/b)\/b)\/(b**(2\/7))**(25\/3) assuming b is positive.\nAnswer: b**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4426 = 2*t - 9970. Let q be (-9)\/(18\/4) - t. What is q rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*n**3 + 4*n**3 + 5*n**3 + (1294*n - 767*n + 1634*n)*(-5*n**2 + 3*n**2 + 4*n**2) to b*n + t*n**2 + g*n**3 + u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -428*z + 375. Determine h(1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**4 - 296*j**3 - 1680*j**2 - 3296*j - 2176.\nAnswer: -4*(j + 2)**3*(j + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3343 is divided by 209.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (2 + 2*sqrt(1053) + -4 + -5 + 0 + sqrt(1053))**2.\nAnswer: -378*sqrt(13) + 9526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b + 5. Let c be l(-3). Suppose 0 = -c*i - 0*i. Suppose 46 = -i*f + 2*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bkk when three letters picked without replacement from bkhbkhhbhhhkkhfhfff?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 6 = -94. Suppose -2*w - 3*a = -109, w - 3*a = 12 + 29. Calculate the greatest common divisor of m and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zhzhhzzzzzzzzz?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (424\/88 + -5)*(-33)\/(-147)*7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -156 - 8*h - 149 - 6*h + 1687 - 1382.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2 + 0)*(-14*r - 9*r + 6*r) + 59 + 297*r - 148*r - 151*r to the form z*r + l and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.526042 rounded to two decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 682*x**3 - x**2 + 3*x - 1. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 147 - 43991*w + 4542*w**2 + 87962*w - 43985*w wrt w?\nAnswer: 9084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 - 23 - (-6 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -3 + (sqrt(242) - (1 + -2 + sqrt(242))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand b**3 - 3*b**3 + 4*b**3 + (-3 + 1 + 5 + (-2 + 2 - 2)*(1 + 0 - 3) - 2 - 2 + 3 + 4 - 4 - 2)*(b - 2*b**3 - b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -9621678*p - 33495. Let j(b) = -2873*b - 10. Calculate -6699*j(r) + 2*v(r).\nAnswer: 2871*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -13453060 (base 7) in base 9?\nAnswer: -2324887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 3*j**5 - 51972*j**4 + 882840*j**3 - 3166830*j**2 - 6075243*j + 8411202 = 0.\nAnswer: -2, 1, 9, 17307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 2)*(3 + 0 - 1)*(2 - 3 + 4)*(-8*b**2 - 3*b**2 + 4*b**2).\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - y**3 + (2 - 5 + 2)*(84*y - 84*y - 164*y**3).\nAnswer: 163*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -8216380 less than -8.324?\nAnswer: 8216371.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 6474170653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 0)*(3 - 3 - 2*b) - 6*b + 3*b + 0*b + (-4*b + 0*b + 3*b)*(-6 + 0 + 5).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-2 + sqrt(17) + sqrt(17))*-2 - 3*(-1*sqrt(204))\/sqrt(12))**2.\nAnswer: -920*sqrt(17) + 9393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**2)**(-4\/13)\/(j\/(j\/j**(-9))*j**(-6\/11)))**(-45) assuming j is positive.\nAnswer: j**(-57465\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 11 + 2*f - 5)*(-2556 + 44 - 443 + 77) to the form n*f + w and give n.\nAnswer: -5756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 17 and -8.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*o + 104*u - 106*u + 8, 5 = 5*o - 5*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2613*r + 65968 + 33326 = 0 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -2. Suppose 3*p + 10 = -t*v - v, 4*p = -2*v. Sort p, 3, -10.\nAnswer: -10, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 76 + -55. Calculate the highest common divisor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-g**4 - 2*g**4 + 2*g**4)*(0 - 1 + 3) + 8405*g**2 - 202*g**4 - 8405*g**2 + (g - g + 2*g**3)*(g - 5*g + 3*g))*(5 + 2 - 2).\nAnswer: -1030*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 24, -11\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 5*x - 237, 5*x - 244 = w - 5*w. Let s be 4 + 1 + 8 + -1. Calculate the highest common factor of x and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = s + 1414, -5*c - s - 650 + 7744 = 0. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -55 - 51 + 104 + 394*i**5 + (i**2 + 2*i**2 - 5*i**2)*(i - i + i**3) + 3*i - 2*i**5 - 3*i - 2*i**4 - 2*i**5 + 2*i**4.\nAnswer: 388*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 17*s**3 + s**2 + 27492*s + 1411084?\nAnswer: 51*s**2 + 2*s + 27492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*c = 224*c. Let r(d) be the second derivative of -31*d + c + 1\/2*d**3 + 0*d**2. Let h(v) = 8*v. Calculate r(h(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 127.6 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7868 (base 9) in base 16?\nAnswer: 16b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 16*i**2 + 4*i - 5*i + 4*i + 7. Suppose 9*h + b + 13 = 5*h, 8 = -3*h + b. Is n(h) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s - 4. Let g be 44\/(-8) + 6\/4. Let f be l(g). Let h = 6 - 4. Solve f = -h*n - 2*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19 - (10 + -24)) + 3 + (-28 - 0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q when three letters picked without replacement from bqnqbbqqll?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 11597300 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -3*i. Let f(u) = -3*u + 15. Let z(k) = 1. Let p(r) = -f(r) + 15*z(r). What is p(x(n))?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1070322569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-13)\/(-182) - 16\/(-168). Let p = -17.3 - 5.7. Let c = p + 18. What is the second biggest value in -1\/2, d, c, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 31867 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -759 - 771 + 1607 - 88*t**2 + 18*t**2 to l*t + d*t**2 + v and give v.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h + a = h - 3, 0 = -5*h + 5*a - 15. Let g be h - 59*(-3 - 6). What is g rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the first derivative of w**8\/14 + w**4\/6 + 4*w - 3. Let m(v) be the first derivative of s(v). What is the third derivative of m(h) wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4*(-27)\/360*2. What is the closest to -0.1 in y, 1, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1247708, 1247674, 1247618, 1247540, 1247440, 1247318?\n\"Answer: -11*f**2 - f + 1247720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -30 + 29.99999864. What is n rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8002?\nAnswer: 2, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the third derivative of 13*o**7\/2520 - 3*o**4\/8 + o**3\/2 - o**2 + 96. Let d(b) be the second derivative of m(b). Let z(c) = 25*c**2. Give z(d(i)).\nAnswer: 4225*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 64027*x - 105168*x + 53952*x as m + d*x and give d.\nAnswer: 12811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2372 - 2364 - 39*f + 73*f - 37*f. Let y(o) = 3*o - 8. Determine -4*s(d) - 5*y(d).\nAnswer: -3*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 + -15. Let y = 2.8 + -3. Which is the second smallest value? (a) 0.4 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -62 - 630 = 47*d + 236 + 811 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*x - 15*x = -27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/311664 and -83\/34488.\nAnswer: 447861168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 - 21. Let b be 2\/4*(-24)\/j. What is the second derivative of g**3 + 8*g + 12*g**5 - g**b - 22*g wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:11 PM and 10:07 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iiuc when four letters picked without replacement from iccuiiiiicuicciu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30 - 758*y + 256*y + 4.\nAnswer: -502*y - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -72*f**2 - 2. Let k(i) = 6*i - 3. What is k(y(j))?\nAnswer: -432*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (-9 + 6 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes before 4:23 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 6, k: 7}. Give prob of sequence kku.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-108)\/(-14868))\/((-171)\/(-798)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.03308 + -0.36692. Suppose 5*v - 30 = 5*y, 0 = -v + 5*v - 3*y - 21. Which is the biggest value? (a) v (b) -5 (c) -0.3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 132*h - 386 - 2629 = -375. Calculate the smallest common multiple of h and 5922.\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*d - 5*d - 10*d + 19*d - 21*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve v + 5*v + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1 - 81046\nAnswer: -81045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**15\/(l\/(l*l**3)) assuming l is positive.\nAnswer: l**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 223, 224, 225, 226, 227, 228?\n\"Answer: z + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 129 = 4*y - 3. Let m = 10 + y. What is the remainder when m is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10, -3, 6, 17, 30?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*y - 6 = 2*d + 2*y, 0 = 3*d - 3*y + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*k + 50*k = 3*x + 21, 4*x - 3*k + 10 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -0*t + t. Let x = -5 + t. Solve x = 2*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1*(-149)\/(62\/(-20) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*x**3 + 0*x**3 - 2*x**3)*(2*x - x + 0*x) + 7*x**4 + 4*x**2 - 4*x**2 - 3 + 3 - x**4.\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -753, -1527, -2301, -3075, -3849?\nAnswer: -4623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 481 + -350 - (-2106)\/(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 75 - 665. Let t be (-74)\/(-14) + 4\/(-14). Suppose 0 = -m + 5*m + 3*f - k, -t*m - 2*f = -459. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5611, -14\/31, -4 in ascending order.\nAnswer: -4, -14\/31, 5611","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 378 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*s**2 + 2*s**2 - s**2)*(5 - 4 + 0)*(3 - 4 - 5).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = u - 2*b - 2, u - 3*b = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2092073*o**5*v - 2*o*v + 24*o - 19*v + 1 wrt o.\nAnswer: -41841460*o**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -413 by 5658.\nAnswer: -413\/5658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 5*i**3 + 37*i**2 + 40*i - 19. Let q(z) = z**3 + 9*z**2 + 10*z - 5. Let d(a) = 9*q(a) - 2*u(a). Let y be d(8). Solve -y = 6*t - 9*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 2791 (c) 3\/2 (d) -3\/4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -bb - 5?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 14012984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2\/3, 1\/4, 1, 4, 0.31?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -5736800 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 - 6b1c?\nAnswer: -6b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0120267444 to 5 dps.\nAnswer: 0.01203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**2 + 6*a - 9. Suppose 51*d - 56*d = 35. Calculate y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g - 20. Let a be q(-13). Let f = a + 9. What is the smallest common multiple of 9 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*i - 5*i - 48. Suppose 0 = u + u - i. Calculate the remainder when 87 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15280 and 71320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12143817 or 0.1?\nAnswer: -12143817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + -2448?\nAnswer: -2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -647 + -16877?\nAnswer: -17413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -683*r**3 + 29*r**2 + 83*r + 3. What is the tens digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1001101101101 (base 2) to base 7\nAnswer: -20333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -3 + (-16 - -26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 230 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 20 = -o. Let q = -52 - -61. Let m = o - q. Calculate the lowest common multiple of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 4*k - 12. Calculate the least common multiple of k and 27\/(10\/4 - (12 - 11)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 20.21 + -20.11. Which is the nearest to y? (a) 0.4 (b) -1\/6 (c) 0.057 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j = -11020.5073 + 11019. Round j to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 172*k + 656. Give a(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = g - 0*g. Suppose g*w + 1250 = -2*w. Let d be ((-4)\/(-5))\/((-20)\/w). What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13 - -18. Let g = 1.84 - 0.84. Put g, y, 0.3 in descending order.\nAnswer: y, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5808\/(-99) + 57)*(54\/405 + 742\/(-30))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 270*a. Let m(r) = 72694*r. Calculate m(t(z)).\nAnswer: 19627380*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 34, 1, -5, 4, 3 in descending order.\nAnswer: 34, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -904 + 910. Let f be ((-2)\/(-2) + -1)\/(-2). Calculate the remainder when n is divided by (-3)\/(-1) + 0 + f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14567537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 664 + 673 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(784)*1)\/sqrt(8).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3584 and 511616?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13251481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -112455 at most -674725\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) -3 (c) -0.052 (d) -6\/17 (e) 0 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the first derivative of 3*r**4\/2 - 1. Let y(z) = -2*z**3 - 25*z**2 + 15*z + 29. Let n be y(-13). Let x(b) = -13*b**3. Give n*x(o) + 7*l(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4 + 6*(0 - -3). Suppose 0*j = k*j - 14938000. What is j rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 2 = c + 13, c + 10 = 2*h. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6829335 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-31)\/155 + 1352\/10?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22*12*(-12)\/(-432)*34\/68?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1557423 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 45*j - 109749 + 2829. Is 99 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 115 + -62. Find the third derivative of -53 + 3*o**2 - 5*o**4 - 4*o**2 + f wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-8)\/28 - (-10)\/35. Is m greater than -11\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 52 - 220. Let a be (-1416)\/m + (-6)\/21. Suppose 0 = u + c - a, 3*u + 5*c = 4*u - 7. Calculate the remainder when 64 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j**3 - 34*j**2 + 161*j + 2893. What is the remainder when y(-18) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1216) + 0)*5 - (sqrt(1216) + (5 + sqrt(1216) + sqrt(1216) - sqrt(1216)))*6) + -5 + 6*(sqrt(1216) + -4)*4)**2.\nAnswer: -35632*sqrt(19) + 368585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18354 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*((h*h\/(h*h**(-2\/5))*h)\/h)\/h))**(-21\/4)*h*h\/(h*h**7)*h*h\/h**(-4\/7))\/((h**1\/h)**(-16)*(h*h\/h**5)\/(h\/(h**(-1)\/h*h*h*h))) assuming h is positive.\nAnswer: h**(117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 5*o = -2 + 7, -5*o = 0. Let l = 6 + z. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000563134 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1559 + 1529. Sort 0.5, -2\/13, i.\nAnswer: i, -2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a = 3*r + 47, 5*a + 4*r = 2*a + 2 + 2 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18989 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((28044\/16)\/(-171))\/(2\/(-8)*1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2\/91?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 59*n**3 + 7*n**2 - 22*n**2 - 24*n - 116*n**3 + 41 + 59*n**3 + 64*n**2. What is g(-25)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u = -33175 - 84425. What is u rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1519\/4 < -379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from nnnnnnnnnnnnsnnnnnn?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 6:29 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 47 + 9 + (4 - 12).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a3 - 705a?\nAnswer: -7152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2812 - 2816. Which is the smallest value? (a) -2 (b) 0.41 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -930 (base 15) in base 2?\nAnswer: -100000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 43024432013 - -2?\nAnswer: 43024432020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 2*v. Let u(a) = 89618294*a**2. Calculate d(u(i)).\nAnswer: 179236588*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -146 = -2*f + 34*k, -1151*f + 1146*f + 3*k = -37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5716 in 4, -0.2, -14, 0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ax when two letters picked without replacement from axuuuxuuxuxuxuuuuu?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 32227, 33730, 37805, 45736, 58807, 78302, 105505, 141700?\nAnswer: 188171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than -0.0918433413?\nAnswer: 0.2081566587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34\/7*i - 1\/7*i**2 - 289\/7 = 0. Calculate i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 81*c**5 + 222255783*c**4 + 152462336732239*c**3 + 694545549703197*c**2 - 331273933584504*c + 37644771416180 = 0.\nAnswer: -1371947, -5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/6)\/((-25344)\/3072)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 32 + 125. Let f = h + -72. What is the greatest common divisor of 170 and f?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (-4 - -2) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 5*o = -176, -b + 19 = -3*o - 21. Suppose 0 = -2*v + 14 + b. Suppose 102 = 5*n + 5*s - v, 3*n - s = 69. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -88, -87, -86, -85, -84, -83?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4591*l**3 + 8970*l**3 - 4493*l**3.\nAnswer: -114*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 143674, 144023, 144602, 145411, 146450, 147719, 149218?\nAnswer: 150947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*g**2 + 2355*g + 1773.\nAnswer: -3*(g - 197)*(4*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of h**5\/15 - h**4\/8 + 5*h**3\/6 + h**2. Let w be (229 - 228) + (1 - -1*1). What is the units digit of s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 2 - (-10 + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 4, 0.3, -0.4, -16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 45165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6416 and 56942?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 334 and -3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 14) + 2 + -774 + 785 - -14 - -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6 times 0.369?\nAnswer: -0.2214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 24\/15*(-70)\/4. Let h = 39 + p. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 141 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 + -3. Let a = 5 - o. Let t be (0\/((-4)\/(-2)))\/2. Put a, 1\/4, t in ascending order.\nAnswer: t, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35677 + -17415. List the prime factors of u.\nAnswer: 2, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**4*g*g**(3\/5))**(-26) assuming g is positive.\nAnswer: g**(-728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -120 + 43 + 5*f**3 + 64 - 95*f**2 - 104*f**2 + 84 + 9*f wrt f.\nAnswer: 30*f - 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 2*j**3 + 12*j**2 + 2*j + 15. Suppose -2*v = -4*u - 26, 0 = 2*u + 2*v - 4*v + 14. Let b be t(u). Solve -3*c + 4*c - b = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 2*r - 6. Let f(v) = -2*v**2 + 5*v - 2. Let j be f(3). Sort r, -2, j in increasing order.\nAnswer: j, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (20\/(-6)*6)\/(8*19\/(-152))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 87446.5389 microseconds to weeks.\nAnswer: 0.00000014458753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4008320831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and 2.703?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -5*q**2. Suppose -3*p + 4*i - 10 = -48, 0 = 2*p + i - 40. Suppose 8*z - 5*z = p. Let s(h) = -z + 3*h**2 + 0 + 6. What is f(s(o))?\nAnswer: -45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 2*x - 13 - 6, -3*x + 5*c + 39 = 0. Let l be (6 - (-13 + x)) + 1. Let b(z) = 2*z + 3. Let r be b(3). What is the highest common divisor of r and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the second derivative of k**5\/20 - 14*k**3 - 101*k**2 - 14*k + 12. Differentiate q(g) wrt g.\nAnswer: 3*g**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m + 10*m + 1 + 102*m**3 - 12*m - m**2 + 0*m. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 967 + -988. Sort 2\/11, 2\/3, -2\/3, w in descending order.\nAnswer: 2\/3, 2\/11, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 15*q. Suppose -2*z = -3*v - 36, 2*z = 6*v - 8*v + 16. Suppose -29*c + z = -17*c. What is p(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.06 (b) -0.02 (c) -23\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 3*a**2 + 7 - 35*a - 5 + 30*a + 2*a**3. Let j be s(2). Solve -p + 2*p = 5*x - j, 0 = -4*x + 3*p + 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h + 7*h - 2*h)*(3 - 3 - h**3)*(-84*h + 214*h + 44*h).\nAnswer: -522*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1026999 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1155 (b) -2\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**2. Let y(w) = 15141*w. What is x(y(n))?\nAnswer: -458499762*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 4*y - 17. Let q be s(9). Calculate the remainder when 29 is divided by (-1 - 0) + q + 3 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1353, 642, -1319, -5154, -11487, -20942?\nAnswer: -34143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 8730 = 6930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 8:39 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -24 (base 5) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 259*p - 2. Let t be j(-1). Let y = t + 631. Let v = y + -546. What is v rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 4*y**3 + 5*y**2 - 14*y + 4. Determine q(3).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -594 + 3984 = 6*p. What are the prime factors of p?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 116*l - 114*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -1. Let o(j) = -j**2 + 5*j + 2. Let u be o(4). Let n be (-2 + -1)*(-4)\/u. Suppose n*v - 2 = -0. Let l(s) = -s - 4. Determine v*l(h) - 4*z(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1212000021112 (base 3) to base 5.\nAnswer: 222444403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -4*f + 21, -2*r = -4*f - 172. Suppose -2*j - j + 54 = 5*g, 0 = 4*j + g - 55. Let z = r - j. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -4, -0.5, -345\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 28, -6, 5, -167 in descending order.\nAnswer: 28, 5, 4, -6, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 445.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 396 > 3593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + n - 5 - 5 = 0, 0 = -4*h + 2*n + 52. Solve 5*o - 2*g + 28 = -0*g, -5*g = 2*o - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*w = -112*w - 612 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1856.2789 rounded to 0 decimal places?\nAnswer: -1856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 1740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.874 - 0.026. Let p = 2.9 + r. Let g = -1\/7 - 4\/21. Put p, g, -2\/13, -2 in ascending order.\nAnswer: -2, g, -2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + 15 - (-3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 86, 88, 90, 92, 94, 96?\n\"Answer: 2*z + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 1 - (-4 - (-1 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 2*r + 1 = 3*r, 5 = 4*p + 5*r. Solve 6*h + p*h = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the second derivative of -a**4\/6 - a**3\/3 + 2*a**2 - 16*a. Suppose u(n) = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -20177*j**3 - 10 - 1 + 0 + 20602*j**3 to the form b*j**3 + p*j**2 + o*j + k and give b.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*q + 6 + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2)\/(-20)*(-2 - -4) + (-11113380)\/(-725)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -18007749.6 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2553)\/(-148))\/(2\/136). Calculate the highest common divisor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 4 = 0, n + 0 = 3*r + 1. Let p(h) = -h**3 + 9*h**2 - 9*h + 4. Calculate the remainder when p(n) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 9795208?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -505 - -506. Let c be (-62)\/((-6)\/(-3) + -4). Suppose -5*z = t - r, z = t - 4*z - c. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 5*n - 25, 5*n - 3*d = 4*n - 9. Let r(t) = t**2 + 13*t + 3. What is the remainder when r(-14) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1597 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8183*f**3 - 10*f**2 + 24*f*v**2 + 8*v**2 - 3*v - 88040 wrt f.\nAnswer: -24549*f**2 - 20*f + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uyyy when four letters picked without replacement from uccucucciycuc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -232 divided by 4.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/c**(-2)*c\/(c*c\/(c*c**(-2)\/c)*c)*((c\/c**1)\/c)**(-36) assuming c is positive.\nAnswer: c**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -2\/17 (c) -5 (d) 94 (e) 95\/166 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes after 1:43 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 228792 + 0?\nAnswer: 228792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/11 - (-1351)\/11. Let p = -3169 + 72846\/23. Calculate the common denominator of p and x\/12 - 0\/1.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.061*-1.2.\nAnswer: -0.0732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 42344289 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.39 + -0.01. Let t = 4.02 + -0.02. Which is the third biggest value? (a) -2 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -4*g - 18, -g - 4*g + 20 = 3*q. Suppose 11*z - q*z - 13 = 0. Which is the biggest value? (a) 0 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y + y - 2*y**2)*(-91*y + y**2 - 2*y**2 + 162*y).\nAnswer: 2*y**4 - 142*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -31, 1520\/1173, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (12*(-3)\/63)\/(30\/(-35))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -f**2 + 4*f**2 - 2*f**2 - 3 + 3 - 2*f**2 + (0 - 2 + 4)*(-3 + 3 + 2*f**2) - 9*f**2 + 17*f**2 + 5*f**2 to y*f + i*f**2 + j and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 12:52 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v - 16. Let r be k(-10). Let y = -2 - r. Solve -3*h + y = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -0.2, -1\/26, 3 in ascending order.\nAnswer: -0.2, -1\/26, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3598415 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -8, -p - 4*p = 4*i + 34. Let t = -8 - p. Suppose -5 = t*f + 3*f. Is f less than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 less than -0.0031?\nAnswer: -8.0031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1051 (base 7) in base 2?\nAnswer: -101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 103*i + 4275. Let r be n(-47). Put 4, 0, r in increasing order.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*x + 0 + 0)*(6 - 3 + 0)*(4*x**4 + 5*x**4 + 4*x**4 - 6*x**4).\nAnswer: 210*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8 + -d31?\nAnswer: -d27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 3*f**5 + 55803*f**4 - 2013651*f**3 - 15936663*f**2 - 37797384*f - 28850076 = 0.\nAnswer: -18637, -3, -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 58232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 500 + -289. What are the prime factors of s?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.181 - 3.181. Which is the closest to -0.02? (a) -1\/5 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 314278.3*-100.\nAnswer: -31427830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 96 a factor of 212544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 589 (base 10) to base 14\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 24842 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 29682 divided by 6\nAnswer: 4947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 + 16*t - 21. Let y(l) = -3*l + 4. Calculate -2*s(n) - 11*y(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2. Let v(s) = -60*s - 3. Let l(c) = -121*c - 6. Let o(h) = 3*l(h) - 5*v(h). Calculate o(y(f)).\nAnswer: -63*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.52, 9, -2.\nAnswer: -2, 0.52, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66*z = -193*z - 1036. Sort 4, 3, z, 155.\nAnswer: z, 3, 4, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4030 (base 5) in base 13?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes before 2:43 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + g = 27. Suppose 4*z - 25 = -g. Let w(o) = -4*o + 10*o - z*o. Let m(u) = 3*u. Determine w(m(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 580540.4 hours to seconds.\nAnswer: 2089945440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 372 - 264. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -0.1, -49, 9, 214 in decreasing order.\nAnswer: 214, 9, 2\/5, -0.1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 46984781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18) - (sqrt(162) + sqrt(162)*-1))\/sqrt(6).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 3*y)*(2*y**2 + 858 + 2*y**2 + 6*y - 855) to the form r*y**3 + q*y**2 + n + u*y and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -3*s + 17. Let z be b(7). Put 2, z, -9 in descending order.\nAnswer: 2, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - b - 87, b + 2*b = -h - 37. Is 214\/8 + (-7)\/h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-249)\/3 + (2549 - 2489).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-378)\/196)\/(-27)*-6*21\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 137 divide 2537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(320) + -3 + -2 + (sqrt(270)\/sqrt(6) + 3)**2.\nAnswer: 2*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(15)\/sqrt(12) + sqrt(5) + (sqrt(180) - -2*sqrt(180)) + -2)**2.\nAnswer: -78*sqrt(5) + 7621\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r**2 - 1491*r**3 + 0*r**2.\nAnswer: -1491*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 7629, 7607, 7575, 7533, 7481?\n\"Answer: -5*x**2 - 7*x + 7641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -s + 3, 0 = -g + 3*s - 3. Solve 4*x - h + 6 = -6, g = 4*x + 2*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -4*c + 2*j + 3, -12 = -3*c + 4*j. Suppose -2*l + 39 = -c*y + 5*y, -l - y = -15. Calculate the greatest common divisor of 66 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20345162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -868.232 - -876. Let j = n + -0.068. Round j to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1385*j - 279*j - 66560 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (12\/4 + 0)*10\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -2*g**3 - 3*g**2 - 3*g + 3. Let k(m) = -m**3 - 4*m**2 + 2*m**2 + 2 + 27*m - 13*m - 16*m. Give 3*k(z) - 2*r(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19 - 14. Suppose -f = -a*f. Suppose -4*t + 15 = 5*m, 4*m + t + f = 12. Solve -c - m*y - y = 7, -4 = 4*c + 4*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10670879 divided by -2.\nAnswer: -10670879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 196*z**2 + 184*z**2 + 2*z**3 + 3 - 151*z**2 - 1 as u*z**3 + x*z**2 + a*z + g and give x.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -2*q**2 + 2*q + 228. Determine g(-32).\nAnswer: -1884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from xxxtttsygdyx?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -13, -119862, 0, 2, 3, 1 in increasing order.\nAnswer: -119862, -13, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -16 divided by 12\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2, -4, 34, 148, 374?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*i - 2*i, -123 = -3*m - 2*i. Suppose -3*d + 227 = -m. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 226073087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o, 1 p, and 1 l when four letters picked without replacement from ppoolppppppoploll.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -395 < -390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {t: 6, j: 9, u: 2, k: 1}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-1))\/(15\/(-10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + 1469?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2290715 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 17 = 4*d + d, 2*m = 8. Suppose d*c = -2*c + 1820. Suppose -3*u = u - c. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1779.3 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3006 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -642582773 + 642582773 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f + 148 = 92. Suppose -f*b - 6603 = -11*b - 3*r, -3*r - 8274 = -5*b. Is 29 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.481, -1, 1\/3, -46\/3.\nAnswer: -46\/3, -1, -0.481, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 70 = 22. What is the remainder when 158 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n**3\/4 - 9*n**2\/4 - 15*n\/2 = 0. Calculate n.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.3 - 0.5. Let m = 1.6984 + 0.3016. What is the closest to n in m, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 80*k**3 + 36*k + 24. Let t(l) = -159*l**3 - 75*l - 52. What is 13*p(i) + 6*t(i)?\nAnswer: 86*i**3 + 18*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - 22 - (-5 + -12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -188803.1 + 188806.000022. Let m = 59 + -61.9. Let h = m + x. What is h rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11342017 = 28*a + 18*a - 9*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12 - 14.6. Let i = q - -2.5. Which is the closest to i? (a) -4\/5 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -33.55 + -0.75. Let n = -103560 + 103594.3237. Let k = x + n. What is k rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -665484*x = -665443*x - 1419 - 98 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 + 9*l - 11. Suppose -2*t + 1 + 9 = -2*q, 5*t + 3*q = 33. Let z be n(t). Let k be z\/28 - 166402\/8. What is k rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 30 = 5*d, -2*x + 4*d - 134 = x. Let q = x - 25. Calculate the common denominator of (q\/(-8))\/((-17)\/34) and 11\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 74 + 81 - 155 + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1891999 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: Solve 66 = 7*v - 184*z + 183*z, -v - z + 24 = 2*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 5 = -2*u - 1, 0 = -5*r - 4*u + 10. Suppose -5*d - 16 = -3*s, -3*d - 3 = 3. Calculate the smallest common multiple of r and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/(-3)*(-19 - -22). Suppose 7*u = c*u - v + 526, -388 = -3*u - 4*v. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -86232620*a**3 - 26*a + 1096832 wrt a.\nAnswer: -517395720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 231381*y**5 + y**4 - 2*y**3 + 26*y**2 + 68770 wrt y?\nAnswer: 13882860*y**2 + 24*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + v - 6*v + 20 = 0, -20 = -3*y - 5*v. Let o(w) be the first derivative of -w**2 + 4*w + 2. Let u be o(-8). Solve y = c + 3*c + u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.68 + -0.12. Let k = 215 + -215.5. What is the nearest to -1 in k, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/4899885 less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -3*x**2 - 1 + x**2 - 9*x + 1 as y + w*x**2 + o*x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 39352637 a multiple of 499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 110707, 110708, 110709, 110710, 110711?\nAnswer: 110712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are -729\/41 and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 10571 = p, 4*p + 2*a - 39490 = 2740. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d**4 - 4*d**5 + 3*d**4)*(4 - 6 + 4) + 4*d**5 + 213*d**3 - 3 - 102*d**3 - 112*d**3.\nAnswer: -4*d**5 - d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**3 + 12*i**2 + 11*i + 34. Let t(m) = -2*m**3 + m**2 - 2*m - 11. Let a be t(0). Does 7 divide n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2712231619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5\/2)\/(1\/4). Calculate the greatest common factor of c and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + -6aa?\nAnswer: -6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of 5*v**7\/7 + 205*v**4\/12 + 186*v. What is the third derivative of k(g) wrt g?\nAnswer: 1800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**2\/2 - 9*u\/2 + 5.\nAnswer: -(u - 1)*(u + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (232\/10 - (-47)\/((-12690)\/(-216)))*1\/(-15)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -5 + 47\/27*3. Which is the closest to -2\/7? (a) -3\/4 (b) 7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10739612867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (84\/238)\/((-2)\/(-1))*(-44)\/(-462)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-2*sqrt(10)*4)\/((4*sqrt(25)*2)\/sqrt(5)) + 0.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-10)*40\/16)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of 0 + 0*k**2 - 23\/10*k**5 + 19\/3*k**3 + 0*k**4 - 1\/15*k**6 - 37*k. Find the second derivative of z(c) wrt c.\nAnswer: -24*c**2 - 276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2719017 plus 1?\nAnswer: -2719016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 37*f. Let b(j) = -28*j - 1. Determine b(m(d)).\nAnswer: -1036*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 91 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -0.0581\nAnswer: -0.01162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 7\/2*(-240)\/(-168).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -269 by -2869.\nAnswer: 269\/2869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 247 a factor of 2952391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00005982681 to seven decimal places.\nAnswer: 0.0000598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2994543 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(270)*1)\/sqrt(10) + sqrt(27) - (sqrt(324)*-1)\/sqrt(12))*-1)\/(((-3*-1*sqrt(576) - sqrt(576) - sqrt(576)) + sqrt(576))*5).\nAnswer: -3*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/35)*n**(11\/6))\/((n*n**(1\/5)*n)\/n*(n\/(n*n\/(n*n\/(n*n*n*n\/(n**(1\/11)\/n)))*n)*n)\/n) assuming n is positive.\nAnswer: n**(12671\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 - (38 - 21)) + 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (161\/35 - 5)*(-6 + 1). Solve 2*h = -l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 3*z + 8. Suppose -9*h + 5*h + 20 = 0. Suppose -6*r - 2*d = -9*r - 21, 0 = -2*r + 4*d - 22. Sort r, h, z in descending order.\nAnswer: h, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 23, -5, -8 in decreasing order.\nAnswer: 23, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 16555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/66 and -40\/5071.\nAnswer: 30426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -2*u + 4*q - 3, -3*u - 2*q = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 38 = 24. Let q = 83 + -80. Let n(c) = 2*c**q - 3*c**3 + 4 + 3*c - 67*c**2 + 73*c**2 + 2*c. Give n(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(5\/3)*o)\/((o**(3\/8)*o)\/o))**(-1\/10) assuming o is positive.\nAnswer: o**(-11\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 6, 1, -5 in ascending order.\nAnswer: -6, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the second derivative of -8*m**2 - 2\/3*m**3 + 0 - 11*m + 13\/6*m**4 - 3\/10*m**5. Suppose c(d) = 0. Calculate d.\nAnswer: -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 4299096 divided by 68\nAnswer: 63222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -3*v**5\/10 + 3*v**2 - 2*v. Find the first derivative of z(g) wrt g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -224*p - 3600 + 48176 = 0. List the prime factors of p.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 AM and 8:59 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-442)\/(-51))\/(4\/6). Let v(s) = 29*s**3 - 13*s - 7. Let i(z) = -14*z**3 + 6*z + 4. Let n(l) = g*i(l) + 6*v(l). Differentiate n(y) with respect to y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49.4*0.2.\nAnswer: 9.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 695 is divided by 220.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07*2.5.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 143780?\nAnswer: 575120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2\/25 - 14924*f\/5 + 27840722.\nAnswer: 2*(f - 18655)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + -17 + 12 + 1 + 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3095 = 113*d - 415 - 194 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 - 115 = 4*k. Let i be -1 - ((-3 - -6) + k). Solve -3*p - i = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 740*c - 251390 = 730*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 430 + -248. Let l = b - 186. Let t = 0.1 + 0.1. What is the nearest to 2 in 1, l, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10100111011111110 (base 2) to base 3.\nAnswer: 11100122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + 4. Suppose g + 2 = 1. Let v be (-4)\/(-6) + g + 1. What is the second biggest value in q, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - 10*a + 14. Calculate p(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -34 - 9. Let j = 136 + r. Suppose -j + 1213 = 5*h. Calculate the greatest common factor of h and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 38 - 15. Let a be s - (-4)\/12*-3. Let k be (4\/6)\/(a\/(-33)). Sort k, 0, 1\/3 in ascending order.\nAnswer: k, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 170 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 5 = m + 4*m, 2*z - 4*m - 4 = 0. Let b = z - -2. Let x = 2 + b. Calculate the smallest common multiple of x and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9403 = 202*j + 684 - 573 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 2*m + 1 = -0, -m - 5 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-510)\/(-119))\/(38\/(-266)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 - -11. Suppose -3*g + 6*g = 6. Which is the third smallest value? (a) 0.1 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-74)\/(-666)*7\/(42\/(-27))*114\/3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -61, 206, -4, 4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -42153951, -84307901, -126461851, -168615801, -210769751, -252923701?\n\"Answer: -42153950*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2.83 times 32534?\nAnswer: 92071.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 254*w - 271. Let j = -846 + 851. Is 27 a factor of u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39.26704 kilometers in nanometers?\nAnswer: 39267040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -117315 or -117376?\nAnswer: -117376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2866541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1\/61 - 125\/183. Which is the nearest to 0.2? (a) -2 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - j + 915 = 913, 2*k + 5*j = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 10*o - 1 + (-5 - 2 + 4)*(3*o + 43*o + 2 + 24*o + 53*o) to k*o + i and give k.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Is 2897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42*2*4\/32*50\/(-150)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4 - (-88)\/(-32) - (-5)\/10*-3. Let f = 1.56 - 0.16. Let o = -0.6 - f. What is the closest to o in 2\/3, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-11)\/132*240148*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/18 + 3\/(-2). Let t(a) = 21*a + 3. Let u(c) = 31*c + 4. Let o(j) = 8*t(j) - 5*u(j). Let s(l) = -l + 1. Let n(m) = f*o(m) + 3*s(m). Give n(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:02 AM and 12:41 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -0.0195 times -2.1\nAnswer: 0.04095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m**3\/9 - 128*m**2\/3 + 8192*m\/3 - 524288\/9 = 0 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-50*c - 229*c - 406*c)*(2 + 3 - 4).\nAnswer: -685*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1126099148 to the nearest integer?\nAnswer: 33557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + -2. Suppose 4*t + 2*l - 26 + 14 = 0, -4*l = 0. Solve t*w + c*w - 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*n + 4*q - 1811, -n - 3*q = -0*n + 366. Let o = n + 592. Find the third derivative of 7*j**2 - 10*j**5 + 229*j - o*j wrt j.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = -2*a - 8, 80*s - 46*s + 12 = -4*a + 38*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3045?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -18*f**2 + 199*f - 4. Let c be r(11). Solve -c*w - 17*w = -24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 87*h**2 - 2360*h + 141. Determine r(27).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 400 = -21*r + 23*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 223726938 a multiple of 899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + m**2 + m - 1. Let a(s) = s**3 + 3*s**2 + 3*s - 1. Let j(l) = 2*a(l) - 6*u(l). What is the first derivative of j(v) wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 8:21 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (458\/42 - (-32)\/336) + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 146421 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 11656302 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + 15)*(0*y + 2*y - y) + (-4*y + 0*y + 5*y)*(-5 + 0 - 11).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42 + 6 + -3 - (49 - 66)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 5*a + 5. Let v(o) = -o**2 + 5*o + 5. Suppose 0 = 3*k - 4*k. Suppose k = -2*t + 7 - 3. Let s(j) = 2*j + 2. Give a*s(d) + t*v(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 12*o = 9*o - 8, f - o = 2. Let q be (-128)\/4*9\/(-6) - f. What is the highest common divisor of q and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11747, -23519, -35291, -47063, -58835, -70607?\nAnswer: -82379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 11120 (base 3) to base 16\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 + 23*o**2 + 1274*o - 33. Give g(-26).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 5*l**2 - 54*l + 632. Calculate j(-22).\nAnswer: 4240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 16*q + 2. Calculate p(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 24 + 0. Suppose -z = -7*z + d. Does 33 divide z\/(-10) - (-5 + (-3192)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49, -90, -121, -142, -153?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 not equal to -3\/28913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62*x**2 - 207*x**2 + 66*x**2.\nAnswer: -203*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from aapwappdwapdao.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 4*n + 278 = 279, -2*n - 42 = -10*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -176977\/76 - -2329. Let j = 983\/133 - 51\/7. Let v = g - j. Which is the closest to 2? (a) -0.5 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12340311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -10, -9, -8?\n\"Answer: d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 + 5*o**2 - 3. Let g be -1 + 1\/((-1)\/(-21)). Suppose 0 = -5*i - 0*i - g. What is the units digit of k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -313*o - 1666. Let s be v(-6). What is the highest common divisor of 11236 and s?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.6 times 7.677?\nAnswer: 12.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = 3*c. Let i(n) be the first derivative of -1 + 0*n + 0*n**2 - 1\/5*n**5 + c*n**4 - 1\/3*n**3. What is the third derivative of i(t) wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 912001199 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 7 + 53 = 0. Suppose 4*b + m = 9*b - 5*p, 4*b - 20 = -4*p. Suppose t - 754 = i - 5*i, -3*t + 2230 = -b*i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 9*-9015666\nAnswer: -81140994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of -y**6\/120 + 19*y**5\/60 - 17*y**4\/24 + 13*y**3\/3 + 29*y**2. Let h be c(18). Let f = 196 - h. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 122786318.\nAnswer: 2, 4679, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n + 2*n - 56. Let o(w) = 9*w + n*w - 5*w. Let f(u) = 3*u. Give f(o(r)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6 + 1)*(-6)\/30. Let x be 1 - (v + -2) - 2. Solve 5 + x = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13483 - -13495. Calculate the smallest common multiple of p and 5684.\nAnswer: 17052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6245181 to the nearest integer?\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 + 2181821?\nAnswer: 2181818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(2\/31))**(24\/7) assuming b is positive.\nAnswer: b**(48\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 458.9 - 457. Let i = -0.18 - -2.38. Let l = i - p. Which is the smallest value? (a) l (b) 1\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19886462.\nAnswer: 2, 653, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2*f + 81. Determine s(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.06349 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62652*p**2 + 3438*p**3 - 62652*p**2.\nAnswer: 3438*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 6:47 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 7289 at most 3666617\/503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 4*p**4\/5 + 304*p**3\/5 - 124*p**2 + 312*p\/5 = 0.\nAnswer: -78, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from uuxedleuejx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 334 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -625*v + 1269 wrt v?\nAnswer: -625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2681126 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2bc (base 13) to base 6\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 14 (base 14) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 108 and 162?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(660)\/(sqrt(12) + sqrt(36)\/sqrt(3)) + sqrt(55) - (sqrt(55) + sqrt(110)\/sqrt(2)*4)))\/((sqrt(1280)*-1 + sqrt(20))*4).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 55584921*l**4 - 4*l**2 + 16757835?\nAnswer: 1334038104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1078, 3819, 8218, 14269, 21966?\n\"Answer: -w**3 + 835*w**2 + 243*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10111101000001001 (base 2) in base 16?\nAnswer: 17a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25 + 132*j**2 - 73 + 19 + 29.\nAnswer: 132*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -57.915+10661075\nAnswer: 10661017.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 47202569 in decreasing order.\nAnswer: 47202569, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*h = -3*h + 34. Suppose 5*v = 3*p + 165, -h*v - 2*p + 66 = -0*p. Let i = 38 + -21. What is the remainder when v is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*o**4 + 8*o**3 + 6*o - 3632 with respect to o.\nAnswer: 40*o**3 + 24*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 114340535 - -2?\nAnswer: 114340541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**2 + q + 2. Let p(z) = 52*z**2 + 65*z + 130. Let t(c) = -65*l(c) + p(c). Let i(b) = -b**2. Calculate i(t(m)).\nAnswer: -169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -q + 4*x, -7*q - 11 = -9*q - x. Find the third derivative of 73*u**3 - 44*u**q - 18*u**2 + 87*u**3 wrt u.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -191348*z**2 + 85286*z wrt z?\nAnswer: -382696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -24205699 rounded to the nearest 10000?\nAnswer: -24210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0100182 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes before 8:21 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 6, 3*j - 33 = 8*j + 4*p. Let o(n) = 4 + n**2 + n**2 + 0*n + 5*n - n**2. Determine o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nmmomymymyy. What is prob of sequence moy?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -43.65669688 - 0.0203\nAnswer: -43.67699688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 PM and 5:07 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f + 1. Let r(x) = -11*x + 2. Let k(q) = -r(q) + 3*t(q). List the prime factors of k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -2*y**3 + 2*y**2 + y - 11. Let t be u(0). Let j be t\/(11\/(-6)) + -366006. What is j rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 291*l - 84 = 277*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dedd when four letters picked without replacement from edqdddevdvvdwevddd.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -55599 or -71065?\nAnswer: -71065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9 and 2844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, 6\/7, 867 in increasing order.\nAnswer: 0.6, 6\/7, 867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 12*b**2 + 0*b**2 + 12*b**2 - 22*b**2 - 239 in the form k*b**2 + n*b + a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 7:43 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b + 1. Let k(j) = 9*j**2 - 6*j - 27. Let f(u) = -6*h(u) + k(u). Let n be ((-33)\/3)\/(2\/6). Let c(g) = -g**2 + 4. Give n*c(y) - 4*f(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.8? (a) -3 (b) 0 (c) 0.3 (d) -0.03 (e) -867.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((a\/(a**(-1)\/a))\/a*a)\/a)\/a)\/a)**(2\/17) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g**2 - 16*g + 16. Let i be a(-13). Let l = -63 - i. Let u = 33 + l. What is the greatest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and 6128.\nAnswer: -12256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3.3 + 3. Let a = d + 0.3. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84491836*k + 1 - 143*k**3 - 84491836*k.\nAnswer: -143*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -108 + -432. Suppose p = 3*p - 20. What is the lowest common multiple of (-88)\/(-6) - 15\/(j\/(-24)) and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 + -6. Let y = 3\/7 - 2\/21. Which is the smallest value? (a) y (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45, 72, 189, 306, 423, 540?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + 2\/6*3. Let p = -5 - y. Let r be (4\/2)\/(-1) + 216\/84. Which is the closest to -1? (a) r (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the first derivative of -11*t**5\/5 - 5*t + 1. Find the first derivative of z(y) wrt y.\nAnswer: -44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/5, 21, -0.003 in ascending order.\nAnswer: -3\/5, -0.003, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 6 + 4861383?\nAnswer: 4861389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Do -393\/23 and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -180 - (-139 + 22) - 88\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 4*h + 377 + 266 = 0, -3*y - 5*h = -634. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 4 = -6. Suppose 0 = 6*p - p - a. Suppose 20 = p*q - 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1231388509?\nAnswer: 13, 94722193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21343?\nAnswer: 7, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/15533 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 + 37. Suppose 0 = -18*j - 0*j - 5*r - 41, 5 = -2*j - r. What is the nearest to j in -0.3, m, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 845211 is divided by 1833?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 16 - 21 - 142 - (-38 + 34)\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(42)\/((3*sqrt(6) + sqrt(6))*3))*4.\nAnswer: sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 7510 <= 22528\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 4 = -4*q. Suppose 4 = -q*o, 5*k - 3*o - 40 = -8*o. Let h = k - 9. Solve 4*c + 5*z + 0 = 10, h = -4*c + 4*z - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10384 smaller than 10152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:19 AM and 5:02 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-5)\/(-15))\/((-1)\/9). Let t = o + 8. Suppose 3*v = -k - v + 14, 4*v - 86 = -t*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 308 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 8\/27 of a day?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the second derivative of -2*n**6\/5 + 61*n**5\/5 - 85*n**4 - 374*n**3 - 484*n**2 - 136*n. Suppose v(k) = 0. What is k?\nAnswer: -1, -2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6168561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 12*p**2 - 70*p - 11. Calculate the smallest common multiple of h(11) and 671.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + -7. Let n be (2\/q - -1)*9. Let c(v) = -v**3 - v**2 - 1. Let y(a) = 2*a**3 + 3*a**2 - 2*a + 2. Determine n*c(o) + y(o).\nAnswer: -o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(19\/12920*-130)*26\/12\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6645*f - 6645*f + 12030*f**2 to j*f**2 + g + l*f and give j.\nAnswer: 12030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 + -10 - -1) + 7 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -3*f**3 + 8*f**2 + 4*f**3 - 29 + 12 + 8*f - 12*f. Let l be w(-8). Let a = l + -9. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 34 times -0.6\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1432, -2872, -4308, -5728, -7120, -8472, -9772, -11008?\n\"Answer: 2*o**3 - 10*o**2 - 1424*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -10*y + 43. Let w be r(-8). What is the remainder when (-291)\/1*(-82)\/w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 268, 2403, 6412, 12295?\n\"Answer: 937*s**2 - 676*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 3*w = w - 7, 0 = 3*q - 4*w - 23. Solve -2*c = -q - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 807 is divided by 118?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**2 - 1. Let g be z(0). Let h be g - ((1 - 1) + 2). Is h >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/7*r + 1\/7*r**2 + 1\/7.\nAnswer: (r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1703215, 1703212, 1703209, 1703206, 1703203, 1703200?\nAnswer: 1703197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - 2*b - 5*b**2)*(-3 + 3 - 4*b**2) + 181 - 25*b**4 - 181.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1002 is divided by 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 65\/4 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1\/(-2))\/(3\/(-12)). Suppose -t*q = -6*q + 76. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 27 by 2.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - 1. Suppose 7 = 9*g - 4*g + l, 0 = -2*g - 4*l - 8. Which is the closest to 0.4? (a) g (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3 less than 972924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 537660 and 5220.\nAnswer: 537660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be (30\/(-30))\/(1*1\/(-16)). Let k = 5 + -5. Suppose 0*o + 2*o - 256 = k. What is the highest common divisor of h and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**2 - 5*m + 6. Let j be y(5). Let b(r) = -7*r**3 - 7*r - 3. Let d(u) = u**3 + u. Suppose -2 + 5 = 3*s. Calculate j*d(g) + s*b(g).\nAnswer: -g**3 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -24 in -42, 1\/2, 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -5*g - 25, 4*g + 24 - 4 = 3*v. Let f = 3 - 1. Is f greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*-753.02.\nAnswer: 1506.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f**2 - 17*f - 6. What is q(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 268499 - -10.8\nAnswer: 268509.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -583.6926 to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*j + 56*j - 552 = 0. Suppose i + o - j = -2*i, -i = -4*o - 9. What is the remainder when 171 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 PM and 5:56 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -349968 divided by 87492\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 63, 61, 57, 51, 43, 33?\n\"Answer: -h**2 + h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, h: 1, d: 1, p: 1, a: 1}. Give prob of sequence cp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -39713\/30 + 1323. Let s = -18461\/5436 + -87\/151. Find the common denominator of n and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -23 + (-7 - (-19 - 42)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-41 - 2 - 68)*(3*g**4 - 13*g + 13*g).\nAnswer: -333*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -210 + 247. Find the third derivative of 106*k**3 + 58*k**2 - 8*k + 9*k - 2*k**4 - f*k**2 wrt k.\nAnswer: -48*k + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (86*(12 - 13))\/(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99*r + 563069 = 119252. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 9 = -4*n + 35, -5*n + 42 = -4*j. Suppose n*w + 119 = 159. Let g = 4 - 3. What is the closest to g in w, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - 2)\/(-2) + 4. Suppose 0 = -5*s - 2*a + a + 4518, -4*s - d*a + 3627 = 0. Suppose 5*t = -5*j + 1557 + s, -4*j + 1481 = 3*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -45, -5, -1, -9 in descending order.\nAnswer: -1, -5, -9, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 8a (base 13) in base 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -x**3 - x**3 + 3*x**3 - 3*x + 3*x + 2*x**3 - x**3 - 4*x**3 - 4*x**3 + (x + 3*x - 3*x)*(4*x**2 + 4 - 4) in the form z + f*x + g*x**2 + y*x**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 22 * -0.17246\nAnswer: -3.79412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -8*l + 18. Suppose -t = -l*x + 2*x + 224, -t = -x + 53. Let y = 256 - x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(13))**2 + 5 - (1 + sqrt(637))**2) + sqrt(78)\/(sqrt(486) - (sqrt(486) - ((sqrt(486) - 1*sqrt(486)) + sqrt(486)))) + -1.\nAnswer: -620 - 143*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 1003*b**2 + 12*b + 12. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -508 + 145. Let u be 4\/(-20) + v\/(-15). Solve 0 = 5*b + 2*h - u, 5*b = 2*h + 6 + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -147022*y**3 + 87*y + 621?\nAnswer: -882132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2147 = -2*h + 5*s, 7*s - 2167 = -2*h + 8*s. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 5, v: 1, m: 1, k: 2}. What is prob of sequence mv?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 262682, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1450 and 2204?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 214*a - 14. What is the units digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13 + 16. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 1\/898 (c) 5 (d) 2 (e) -2\/3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 PM and 6:21 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1245 + -1227. Solve 8*f + j*f - 26 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 35 - 3553?\nAnswer: -351e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -482 - -7717\/16. What is the common denominator of -69\/2 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 4*k. Let t(v) = -10*v**2 - 2402*v + 2844. Give t(p(f)).\nAnswer: -160*f**2 - 9608*f + 2844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51365 is divided by 25405?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 718627180.\nAnswer: 2, 5, 23, 43, 47, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (182\/(-65)*-1)\/((-4)\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) 1 (b) 234169 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -100101 (base 2) in base 14?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 13323 - -1?\nAnswer: 13324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5\/7 in -3\/485, 2, -2, 1, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 + (-20)\/85)\/(-4). Is -1\/2 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -87\/350 and 1\/45.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 170 divide 24311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 + 6*m**2 - 33*m - 208. Let n(t) = -t**3 + 7*t**2 - 34*t - 208. Let h(c) = -6*n(c) + 7*z(c). What is the derivative of h(j) wrt j?\nAnswer: -3*j**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*n**2 - 2*n**2 - n**2)*(-8 + 4 + 1)*(-n + n - n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 510168939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the third derivative of 57*q**7\/70 + q**5\/30 - q**4\/24 + 5*q**3\/3 + 85*q**2 - 1. What is the second derivative of s(l) wrt l?\nAnswer: 2052*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20869 + -20878. Let i(z) = 6*z**3 + 14*z**2 + 5*z + 1. Let w(p) = p**3 + p**2 + p + 1. Let v(k) = -i(k) + 5*w(k). What is v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-2) + 1 - 230\/54*492\/410?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2569*n - 1440. What is the hundreds digit of i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*t - 7*k - 309, 0 = t - 4116*k + 4121*k + 213 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the third derivative of s**5\/60 - 2*s**3\/3 - 6*s**2. Suppose -4*b = 8, -5*b + 4 - 9 = w. Let k(u) = -2*u**2 + 6. Give w*k(j) + 8*m(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4374860, 8749832, 13124804, 17499776, 21874748, 26249720?\nAnswer: 30624692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4600 = -137*n + 97*n. What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9353 + 21887. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86 = 5*f + 89. Let z be (8\/20)\/((-1)\/f). Let c = 22 - z. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -138194, -276055, -413916, -551777?\nAnswer: -689638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2669009967 to the power of 1\/2, to the nearest integer?\nAnswer: 51662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 7 - 22 + 4*f - 10 - 16. Is w(14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/4986)\/(9\/(-120)). Let l = 25073\/52353 - k. Let j = l + -5\/27. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -2 - 1 + 0*b**2 + 0 - b**2 + 9*b. Suppose -5*d = 4*z - 73, -3*z + 24 = -4*d + 101. Calculate the remainder when d is divided by t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30 - 9 - 17 - 35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2155*i - 2099*i = 448 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 103266567 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -120 = 56*t + 384 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 988 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -88 + 19*b**3 + 88.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - o = 2*o + 19, 4*o = 4*g + 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/3 smaller than -66916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 8 = 6*h - 4*o, -19 = h + 5*o. Let p = 2 - h. Let u(b) = -48610*b**3 - 8*b**2 + 7*b + 6. Let y be u(p). What is y rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 31 - 4. Let l be ((-3)\/(-9))\/(9\/405). Let n = p - l. Calculate the greatest common divisor of 48 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2859806 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33027360 is divided by 9551.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 540, 1029, 1516, 2001, 2484, 2965, 3444?\nAnswer: 3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 + 2*g**2 - 59*g - 173. Let f be l(-7). What is the closest to 0.06 in f, -1\/3, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1216*i + 1214*i = 3*f + 3, -3*i - 7 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-10)*(-8 - 772690\/(-128700)). Let u = 138\/325 - v. Find the common denominator of u and 97\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 182096 and 15574?\nAnswer: 2367248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, u: 1, b: 13, c: 1}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 596.37563 rounded to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 40610 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 172523568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 - 1 = 4*q + 5*o, -5*o = 5*q - 15. Suppose -5*g + 2*g = -24. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -568 or -569?\nAnswer: -568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 + -3. Let a be 7196\/6168 + 3*1\/3. Is a greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5202 <= -5201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1796033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -32*m + 1. What is the units digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 - y**2. Let i(v) = 7*v**3 - 3*v**2 + 6*v. Let x = -36 - -39. Let f(u) = x*n(u) - i(u). What is the second derivative of f(t) wrt t?\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -24*p + 278. Let g be o(8). Sort 0.4, g, -5, 1\/11 in ascending order.\nAnswer: -5, 1\/11, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/292 and (-95)\/(-22) - (0 + 0 + 155\/31).\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*t**2 - 17*t**2 + 51*t**3 - 40*t**3 - 26*t**3.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-44278)\/(-4) - 1\/(-2). Is k\/12 - (-3)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 78 + -41. Let c = -82 + p. Let a = c + 38.4. Round a to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -30 - -58. Suppose 0 = 2*f - t - 32. Let d = f + -26. Solve -13 - 3 = d*j + 2*u, 13 = -5*j + u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 + 17.7. Which is the biggest value? (a) 1 (b) -0.9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 645.9861 weeks?\nAnswer: 390692393280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 4)*(-113 - 218 + 91)*(-3 + 1 + 0)*(k**4 - k + k).\nAnswer: -960*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - (0 - 3) - -9) + -1 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 212 + -212.09. Let p = 2.47 + -4.38. Let x = p + s. Are x and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 - 35)*(-4 + 3). Solve 0 = 3*j + w + 3*w - u, 0 = 3*j - 3*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) 3 (b) 1.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/4 - 32\/((-112)\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**40\/o**(2\/37))\/(o**30\/(o\/(o*o\/((o*o**(2\/31))\/o)))))**(-11) assuming o is positive.\nAnswer: o**(-113685\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2189?\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25071778.\nAnswer: 2, 1913, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-2)*(-17)\/(-34)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 18758527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -2*k**2. Let j = -5 - -8. Let z(u) = -u + u - u + j*u. Determine z(x(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 595628 is divided by 194.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12 - -4) + 3 + -69 + 43 + -20 + -1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(-6) + ((1656\/108)\/(-46))\/(174\/801)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 45907 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -4. Suppose -3*k = z + 2, 2*z + 4*k - 3 + 1 = 0. Suppose 2*q = d + z. Solve 0*n + q*n - 10 = -5*w, 2*n = 4*w + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42769 plus -16117.091?\nAnswer: 26651.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 12*c**2 + 121*c + 300. Let w be h(-70). What is w rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 7:08 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 250564 + -102643. Let l = -147876.00054 + r. Let s = -45 + l. Round s to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/10980 and 143\/216.\nAnswer: 65880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 179320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 4*u**2. Let l(a) be the second derivative of -a**5\/20 - a**2\/2 + 3*a. Let o(f) be the first derivative of l(f). Give o(j(b)).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -75047?\nAnswer: -5\/75047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-570014)\/(-10) + 8\/(-20). Suppose 3*s + 56997 = -3*b, -b = 2*b - s + c. What is b rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 0 - (5 + (-8 - 2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 12:46 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/2*(-30)\/75?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/5 + 226*u\/5 - 1272.\nAnswer: -2*(u - 60)*(u - 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 9*s**3 - 4*s**2 + s - 1. Let t(p) = -8*p**3 + 3*p**2 - p + 1. Give 4*t(h) + 3*z(h).\nAnswer: -5*h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 592 - -1?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1235, 4952, 11147, 19820, 30971?\n\"Answer: 1239*n**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) 67384190\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, -1, 169, 2, -43, 1 in descending order.\nAnswer: 169, 5, 2, 1, -1, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of -p**5\/60 + 5*p**4\/24 + p**3\/3 + 4*p**2 + 2*p. Determine h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 134.53 to the nearest integer.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 1. Suppose -126 = 49*u + 121 - 247. Which is the closest to -1? (a) -1 (b) u (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1b6 (base 13) to base 8.\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -271189732 by -44.\nAnswer: 6163403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**3 + 2*h**2 + 3*h**3 - 3*h**3)*(93*h - 93*h - 50*h**2).\nAnswer: 100*h**5 - 100*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 9*g - 3*g. Find the third derivative of -22*q**2 + 4*q + 21*q**2 + 5*q - 21*q**g wrt q.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13a1b2 (base 15) to base 7.\nAnswer: 11015150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -12154e (base 16) to base 9\nAnswer: -2205580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10945)\/4975)\/(((-6)\/3)\/(-30))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lxllffilol. Give prob of sequence lxo.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -85, -83, -79, -73, -65, -55, -43?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/((-11792)\/(-816) + -14 + (-2)\/17). Put -50, -2, -25, i in ascending order.\nAnswer: -50, -25, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 + 27 = 12*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 785*n. Let o(x) = -2*x**2 + x - 2. Let p(u) = u**2 - u + 2. Let w(a) = o(a) + p(a). What is y(w(j))?\nAnswer: -785*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 279+9675706\nAnswer: 9675985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3471607*c - 726 = 3471640*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b + 4. Calculate f(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**2 + x**2 - x**2)*(93 + 229 - 83).\nAnswer: 239*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.23149 and -1212?\nAnswer: 280.56588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -618 - -852. Calculate the greatest common factor of 26 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 4*w**3 + 7. Let v(u) = 5*u + 78. Let k be v(-17). Let x(d) = 5*d**3 + 7. Give k*r(m) + 6*x(m).\nAnswer: 2*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -b + 261, -b + 233 = -5*h - 0*h. Let j = b - 131. Calculate the remainder when j is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6 - 2*x**2 + 8 - x + 6*x + 0*x**2 in the form y*x + r*x**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 304 and 40.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 44\/10 + (-16)\/40 - -1. Suppose -a = 0, -6*a = -5*o - 10*a - 10. Which is bigger: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {s: 1, c: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -6306 (base 11) to base 16\nAnswer: -20a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-8)*(-34)\/51?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2.174253*-0.07\nAnswer: -0.15219771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-7)\/(42\/(-4944))*(-55)\/(-10).\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -520*f - 507*f - 484*f + 2531*f - 507*f - 507*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 4*p - 3. Let u = 66 - 46. Suppose 2*s - 30 = -4*i, u = 3*s - 4*i + 5. Does 12 divide g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 130*q*w*z - q*w + 6*q*z + w*z + 9*w + 2*z + 2 with respect to q.\nAnswer: 130*w*z - w + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1040566*m = -1040538*m + 84 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -14710 > 105.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2492*v**4 - 2*v - 72?\nAnswer: -29904*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*a**4*s + 1032*a*s**2 - 373*s**2 with respect to a.\nAnswer: 8*a**3*s + 1032*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 12\/(-16) + 6\/8. Suppose -2*d + 4*d - 18 = b. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -42179?\nAnswer: 1\/42179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -423572 + 3?\nAnswer: -423568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2162 or 2353?\nAnswer: 2353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(125\/(-90)) - (-1 - 2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 AM and 5:14 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 60 = -12*q - 8*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -4016562.643 to the nearest ten thousand.\nAnswer: -4020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**2 + k + 122. What are the prime factors of g(17)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = d + 10. Let w be (-720)\/100*10\/d. Calculate the greatest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 2*n**4 + 1 + (0 + 0 + n**2)*(-20699*n + 86*n**2 + 20699*n) to the form y + w*n**4 + l*n**3 + d*n**2 + v*n and give w.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be 116\/(-78) - 6\/(-39). Does 0 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -16*u**2 + 252*u + 64. Let a be f(16). Solve a = 2*k - 5*i + 21, -2*i - 10 = -16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -24 + 4. Which is bigger: r or -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-11)\/(-4))\/((18\/8)\/9). Suppose 0 = -i*j - 7*j + 8280. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 16 = -353*q + 357*q, -5*q - 40 = 0. Suppose 0 = -p + 7 - 4. Solve -p*i = -7*i - f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32989420570 + 16494710290 + 16494710280 - 4*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-19)*v**(2\/19)*v*v)**(-21\/2) assuming v is positive.\nAnswer: v**(6741\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2103 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -114.1 times 0.06?\nAnswer: -6.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1276 + -12328.\nAnswer: -13604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (4 - 5) + (5 + 5 - -11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 324 (b) 0 (c) -3\/4 (d) 1\/13 (e) -0.8 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 32193876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000492936918 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2\/21 - -73\/105. Let y = 0.07 + -5.07. Put l, y, -1\/9 in decreasing order.\nAnswer: l, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0613 + 15.5387. Let x = y + -150. Round x to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*155906.\nAnswer: -1559060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 248*o**3 - 83*o**2 - 237*o**3 + 4 - 4 to n*o + h*o**3 + q + x*o**2 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes after 2:54 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d + 0 = -7. Which is the second biggest value? (a) 5 (b) 3\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -40310 or -40019?\nAnswer: -40019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = w + 23, 3*w = 2*x + 3*x - 125. Calculate the greatest common divisor of 42 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-28*w + 126 - 126)*(0*w - w + 9*w) - 5*w**2 + w**2 + 2*w**2.\nAnswer: -226*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -175.3 - -168. Let f = -7 - r. Let l = 0 - 0.1. Which is greater: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -121 + 121. Which is smaller: g or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 7 + 3 = 0. What is the third derivative of 2 + s - 14*v**4 - 4 - 3*v**2 wrt v?\nAnswer: -336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**16\/p**(-1\/2))\/(p**19\/((p*p\/(p\/(p\/((p\/(p**(-15)*p))\/p*p))))\/p)))**(2\/37) assuming p is positive.\nAnswer: p**(-33\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 4:19 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4063 and 184508.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 21, -4, 6 in descending order.\nAnswer: 21, 6, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4001 = 676*o - 16279 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 - -10. Suppose 0*z + 2*z + 5*m - t = 0, 0 = 4*z - m - 67. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 7:17 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -554*d**6 - d**2 - 175?\nAnswer: -66480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 5839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 14457 smaller than 14471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 14*b**3*t - b**3 + 31*b**2*r**2 + b**2*t - 7*b*r**2 - 4*b*t**2 - r**2*t wrt t?\nAnswer: 14*b**3 + b**2 - 8*b*t - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract -51355481785 from -0.1.\nAnswer: 51355481784.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -5*h + 112, -2*h - 9*m + 285 = -2*h + 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 4*q - 13, -5*l - 10 = -5*q + 5. Suppose 3*w = n + n - 418, 4*n - 856 = -q*w. Is 2\/5 - n\/(-20) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-6)*(15 + -42).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o + 1. Let w(s) = 2*s**2 + 4*s - 10. Let c(h) = -6*b(h) - w(h). Factor c(z).\nAnswer: -2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17110595?\nAnswer: 5, 3422119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -29223948 divided by -6043\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - 0. Let f = 1.976 + 0.024. Which is the nearest to r? (a) 0.3 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.744 + 0.31. Let o = k - 3.566. What is the closest to 0 in -0.02, o, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 37 + -6 + -2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25*0.155.\nAnswer: -3.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 7. Solve b = 5*d + 10 + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, 2\/10325, -9, 17\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes after 2:56 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 262 is divided by 166?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -214 + 213.597. Let s = 0.632 + z. What is s rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5269 is divided by 5154?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -81*g - 1. Let b be m(-1). Calculate the highest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 36239.79 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 470 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 202038 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*v**2 - 20*v - 9*v**2 + 5*v + 10*v**2.\nAnswer: 17*v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 156 and -82.5200567819.\nAnswer: 73.4799432181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 2 = 2*b, -b - 4*b = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2890*l = -4899*l - 669854 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 201*j + 10 = 199*j, 2*j = 2*s - 182. Which is greater: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1115972 and 140426?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from jpttjttn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148259.\nAnswer: 37, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 81 (base 15) to base 5.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -33, 1, 2 in descending order.\nAnswer: 2, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -52532051 (base 6) in base 14?\nAnswer: -2bdbc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**4 - c**2. Let w(a) = 444*a**5 - 17*a**4 + 2*a**4 + 75*a**2 - 48*a - 447*a**5 - 3*a**3. Let l(v) = -3*r(v) - w(v). Solve l(h) = 0 for h.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 76 + 1?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 153725 and 4246.\nAnswer: 59337850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5\/(2*3\/6). Let p be 15\/m + (-64474)\/(-110). Let f = 2962\/5 - p. What is the common denominator of f and 47\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from ttaawatatza.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -26550*o - 106204. Calculate m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, v: 7, w: 2, c: 8}. What is prob of sequence cwvc?\nAnswer: 49\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3840.01 rounded to the nearest ten?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -177 divided by 59?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4020 + 13005010?\nAnswer: 13013030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 6 = -0*s. Let h(m) = 3*m**2 - 10*m - 1. Let a(u) = -2*u**2 + 5*u. Let w(o) = 5*a(o) + 3*h(o). List the prime factors of w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 32548 and 948?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 10 + 2 = 0. Calculate the smallest common multiple of 0 - 1*(y - 4) and (-6)\/(-2) - 5\/(10\/(-48)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 63903084 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 2*h - 4 = 0. Let l be 1\/4 - (1 + 195\/(-4)). Which is the biggest value? (a) h (b) -0.1 (c) 4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 3:40 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes before 8:53 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 185 = 6*m - m + 2*g, m - 25 = 2*g. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mrq when three letters picked without replacement from {h: 1, r: 6, q: 5, m: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-24)\/(-180) + ((-438)\/(-90) - 2). Solve 2\/11*u**2 + 6\/11*u**4 + 0 - 2\/11*u**5 + 0*u - 6\/11*u**q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 + 8 = 3*v. Suppose -86 = -4*m + v*k, 3*k - 41 = -3*m + 37. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*q + 0 + 0)*(3*q**3 + 3*q**3 - 4*q**3) + (-3*q**3 + 2*q**3 + 0*q**3)*(5 - 5 + q)*(-4 - 20 - 12) to p*q**2 + w*q**3 + o*q + a + d*q**4 and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 12) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**2 - 6. Let c be m(3). Solve -a + c = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 + f + 4. Let q be o(0). Let t(y) = y**3 - 2*y**3 - 235*y + 4*y**2 - 1 + 238*y - y**2. Give t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 13 + 5 - 913*q.\nAnswer: -913*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 72327497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 - 10*v**2 + 14*v + 16. Let d be x(8). Solve 12*r - 60 + 0 = d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9249 + 46243\/5. What is the closest to p in 2, 2\/7, 2.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -57*t**2 - 1. Let a(d) = -4*d. Give a(f(o)).\nAnswer: 228*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1411 - -1415. Let m = 5 - 2. Sort 0, t, m in increasing order.\nAnswer: 0, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -46*d + 46*d - 12*d**4 + (-5*d**2 + 2*d**2 + 0*d**2)*(d**2 + 4*d**2 - 6*d**2) + (1 - 2 + 4)*(-2*d**4 + 4*d**4 - 6*d**4).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4243.\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x = 8*x. Suppose 3 = n - x*n. Suppose 3 = -h, -4*b = -n*h + h - 90. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 113 (base 7) in base 5?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5535 plus -0.2?\nAnswer: -5535.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**2 - d + 1. Let p(y) = 7*y**2 + 4*y - 4. Let q(o) = -4*m(o) - p(o). Let l be (-372)\/14 + (-8)\/(-14). Let i = l + 25. What is q(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 68 - 68 - 3*t**2 - 3*t**3 wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16462408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 361573?\nAnswer: 17, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4.4 + -0.4. Let q = 4.800265 + o. What is q rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 56*n**2 - 6*n. Let b(o) = 57*o**2 - 5*o. Let z(a) = 6*b(a) - 5*i(a). Let c(j) = -j. Calculate z(c(w)).\nAnswer: 62*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 756.885654s?\nAnswer: 0.001251464375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2207, -7559, -16047, -27665, -42407, -60267, -81239?\n\"Answer: c**3 - 1574*c**2 - 637*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*j - 5*j - 8*j to the form z*j + w and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 2 = 2*l, r - 37 + 47 = 3*l. Solve 2*v + 3*g = 25, -30 = -4*v - 4*g + r*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 140\/81 - 305\/567. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*r**(-1)*r*r\/(r**5\/r)*(r**2\/r)**14 assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 14, 4023 in decreasing order.\nAnswer: 4023, 14, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = -3*a - 4*y, 2*y = 3*a - 2*y + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by -97\nAnswer: 6\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = r + 2*g + 16, 0 = 3*g + 12. Let j = -3 + r. Let l(z) = 2*z**2 + 1. What are the prime factors of l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 2*a - 2. Let o = a + 9. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -39*t**3. Let u be k(1). Let a = 41 + u. What is the first derivative of 3*w - 12*w + 5*w + 6 - a*w wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 3*n**3 + 48*n**2 + 249*n + 420 = 0.\nAnswer: -7, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1\/4))**19*d\/(d\/(d\/(d\/d**(2\/11))))*d**6*d*d*d*d assuming d is positive.\nAnswer: d**(239\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 54468 and 47617?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -2*a + 11, 5*z + 99*a + 15 = 103*a. Solve -2 + z = y + t, 27 = -3*y + 3*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 107660*x - 105*x**2 + 314*x**2 - 107660*x - 105*x**2 - 88*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 3431, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -17*k - 182 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 319212, 1276907, 2873076, 5107725, 7980860, 11492487?\nAnswer: 15642612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15 - -9. Let k = n + 5.7. Let w be (4\/(-50))\/(1\/(-5)). What is the biggest value in w, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 1814 divide 3364970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*f - 35*f + 1890 = -352*f - 68*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*z - 8 + 8)*(1 + 0 - 2)*(-19*z**2 + 30*z**2 - 10*z**2) as d*z + c + p*z**3 + a*z**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g + 9 = 11 + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*m**3 - 45*m + 73*m - 28*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 - n. Let m(b) = -222*b - 3*b**3 + 6*b**2 + 0*b**2 + 221*b + 6*b**3. Give i(r) - m(r).\nAnswer: -2*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n - 11617 = -11599. Sort -1, n, -277.\nAnswer: -277, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4927123?\nAnswer: 1453, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27236, -27172, -27108?\nAnswer: -27044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + -6. Let k be 4\/(-18) - (-47)\/9. Suppose r = -n, -k*l + 3*l + 20 = 2*n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 380 = -5*s - 0. Let z = 146 + s. What is the tens digit of z\/4 + 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -77, 2\/5, -50, 0.2515 in descending order.\nAnswer: 2\/5, 0.2515, -50, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7.731 + 0.209. Let o = -8 + x. Round o to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -3*r + 2862, -17*d + 2*r + 562 = -16*d. Let g = -567 + d. Solve x + x = g*n + 16, -x + 22 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 4\/63, 3, -1, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50 + -49. Let w(t) = 2*t**2 + 0*t**3 + 16*t**3 + t - 4*t**2. Let d be w(g). What is the greatest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/5 + 7\/5. Let s(v) = 1 - i - v. Let a(p) = 24*p**2 - 1710*p. Let d(q) = -19*q. Let w(f) = a(f) - 90*d(f). Determine s(w(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 583 is divided by 167?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 750 and 7030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11357.\nAnswer: 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, 31, 67, 137, 253?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = h - 9, -h = 2*q + 2 + 1. Let y = -15 + 10. Let f be (-1 - y)\/((-2)\/(-1)). Solve -3*v = -3*s - 4*v + 4, -f*s = h*v - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f + b = -43 + 42, 2*f + 17 = -3*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -11173a39 + -a?\nAnswer: -11173a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2070 and 5104620.\nAnswer: 5104620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve m = -4*r + 15, -443*r = -442*r + 3*m - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from babaaaba. What is prob of picking 1 b and 1 a?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the first derivative of 33*f**2\/2 - 9*f - 3. Let n(x) = x - 1. Let s(p) = j(p) - 18*n(p). What is the derivative of s(g) wrt g?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78472629 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes before 1:19 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 4, c: 3, r: 2}. Give prob of picking 1 c, 2 v, and 1 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 8446, 14405, 20370, 26341, 32318?\n\"Answer: 3*m**2 + 5950*m + 2493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 4 + (2 + sqrt(48))*4 + 0.\nAnswer: 17 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 9702983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -95*h - 4. What is g(-1)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**3 - 9*x**3 - 21*x**3 - 5*x**3 - 6*x**3 + 54*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 993291 less than 993289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5882701 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*a**3*m**2 + 4141*a**3*m - 3*a**3 + 44*a**2*m**2 - 2*a**2*m + 15*a**2 + 42*a*m**2 - 56*m**2 wrt m?\nAnswer: 4*a**3 + 88*a**2 + 84*a - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 235*l + 11799 + 9555 - 7959 = 0 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -2*h**2 - 2*h - 1. Let w be u(-1). Let v(d) = -16*d - 1. Let k be v(w). What is the lowest common multiple of 9 and 6\/k + (-33)\/(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 68 by 136.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5)\/(-2) - (-4845)\/(-10). Let c = r - -730. Calculate the greatest common factor of 31 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**3 - 78*i**2 - 84*i + 160.\nAnswer: 2*(i - 40)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (249\/(-6))\/(-6 + 0\/3) and 57\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -509, -1049, -1601, -2171, -2765?\n\"Answer: -d**3 - 533*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 77\/2 of a milligram in micrograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/2 (b) -24 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 89209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 8 = -0*c. Let a be (c\/(-4) + -1)*-6. Calculate the highest common factor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 7 - 1. Suppose -n*h = 5*m + 536, -7*h - 840 = -2*h - 5*m. Let b be h\/(-20) + 6\/(-10). Solve u - 5*u + 12 = 2*v, 0 = v + 4*u - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(4 + (-3*6*sqrt(70)\/sqrt(5))\/(2*(sqrt(2) - (sqrt(22) - sqrt(198)\/sqrt(9))\/sqrt(11)))).\nAnswer: -9*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 47546, 190216, 428022, 760970, 1189066, 1712316, 2330726, 3044302?\n\"Answer: h**3 + 47562*h**2 - 23*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the third derivative of 0*p**3 - 4*p**2 + 0 + 5\/24*p**4 + 0*p. Let x(n) = 2*n**2. Determine y(x(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1000122101 + -12?\nAnswer: -1000122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2668877 + -2?\nAnswer: -2668880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {i: 7, q: 9}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6 - 1\/(((-108)\/(-270))\/(8\/10)). Solve 2*x + 5*a = 0, -4*x - j*a + 19 - 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1\/10 (b) 0.16 (c) 7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (476800\/256)\/(-149) - 37?\nAnswer: -99\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aauuouuouuuuuu. What is prob of sequence ou?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -15*d**5 - 6651*d**4 - 28953*d**3 + 9507*d**2 + 126540*d + 47412 = 0. What is d?\nAnswer: -439, -3, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 6\/43 (b) -2\/3 (c) -0.21 (d) 1.4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/900 and 91\/88875?\nAnswer: 355500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 138 + -143. Calculate the common denominator of (3\/12)\/((-6032)\/1192 - w) and (14*(-3)\/6)\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-15)\/(-20))\/((-30)\/32). What is the second smallest value in 1, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -120*(3213\/(-51))\/(-252)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1310, -1303, -1292, -1277, -1258, -1235, -1208?\n\"Answer: 2*y**2 + y - 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19)\/(-19)*(-1)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -10202 - 213?\nAnswer: -10415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/n**(-6))\/(n\/(n\/(n\/(n**(-2\/21)\/n)))))\/((n\/(n\/(n**(4\/11)*n)*n))\/(n\/(n*n**2))) assuming n is positive.\nAnswer: n**(587\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -438.1381 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 812*m + 12. Let c be k(15). Suppose x = 5*l - c, 0*x - 2*x = 4*l - 9762. Let g be (-19)\/38 - l\/2. What is g rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2184)\/4095)\/(4\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-45)\/36*(12\/3 - 72\/20). Which is the nearest to 2\/7? (a) -2\/17 (b) -14 (c) 0 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.001034 and 172038232.\nAnswer: 172038231.998966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, 74, 0.01, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*x + 20*x = -50 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-15)\/75)\/((-76)\/(-115)). Let w = -20\/19 - t. Let q = -28 - -27.5. Sort 3, q, -4, w in ascending order.\nAnswer: -4, w, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 89848 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 6) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.667719 times -1\nAnswer: 0.667719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -13113 (base 5) to base 9.\nAnswer: -1367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**2 - 28*m. Let r(k) = -4*k. Give r(v(n)).\nAnswer: 4*n**2 + 112*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 6*d - 153. Let i(r) = 33572*r. Determine c(i(z)).\nAnswer: 201432*z - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -12224559*m + 182713?\nAnswer: -12224559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 1:38 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-4)\/(-3))\/(2\/(-47)). Suppose 114 - 21 = 3*a. Let x = s + a. Sort 5, x, -0.2 in decreasing order.\nAnswer: 5, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 62\/9365 and -65\/1186.\nAnswer: 11106890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 192*q**2. Let v(r) = -12*r**2. Let n(i) = 2*t(i) + 33*v(i). Let s(k) = k. Calculate n(s(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0*(-1 + -2)\/(-6). Let k(b) = -b**2 + b + 3. Let x be k(g). Let v be ((-5 - -3) + -1)*-1. Solve 3*f = x*y - 6, v*y - 7 = 4*f + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 + 7*l**2 - 123*l - 11719. Give r(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 470, 2, -271.\nAnswer: -271, -2, 2, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -378 + 383. Which is the fourth smallest value? (a) 1 (b) -13\/3 (c) -0.5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 2*u**2 + 36*u + 3. Let l be s(-18). Suppose l = -3*m + 2*g - 6, -3*m = 2*g + 21. Put 1, 2, m, 3 in ascending order.\nAnswer: m, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-131)\/(-3) + (-6)\/(-18). Let t = -39 + b. Solve -4*q = 4*r, -t*q - 4*r - 5 = -2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -379847831*t**2*w**3*x**3 + t**2*w**3*x + 10*t**2*x**2 + 4*t*w**3*x - 959621*w**3*x**2 wrt x.\nAnswer: -2279086986*t**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*d - 54 = 4*d + 44. Solve z = -d*i - 15, -3*z + 4*i + 2 = -3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-5\/7))**(-10\/3)\/(z**34\/(z*z**(2\/11))) assuming z is positive.\nAnswer: z**(-7801\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*d**4 + 263757775*d**3 + 2318938751805390*d**2 + 6795978528488823865620*d - 3397989843979132853880.\nAnswer: 5*(d + 8791926)**3*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25840 and 600457.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-6))\/((-1409)\/(-135264)*40\/3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 961\/(-4)*85336\/(-330677)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 0 - 2 = 0. Suppose n*y - y = 2. Let b be 17 - (y - 1) - 2. Calculate the greatest common divisor of b and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 110 and 2585.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*h + 59 = -13*h - 10. Which is the closest to -1\/2? (a) -0.1 (b) -4\/17 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 32, 62, 92, 122?\n\"Answer: 30*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 477 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-935)\/(-15) + (-4)\/(-6). Let m = 12 + b. Let v be 29 + (-2)\/(-1 - 1). What is the greatest common factor of m and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1843, -2558, -3273, -3988, -4703, -5418?\n\"Answer: -715*s - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 5332234208 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3016087864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4*m = 2*j + 14, -3*j = -5*m - 29. Suppose k - 1 = 0, -j*k + 72 = 5*n - k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-25)*((-377)\/130)\/29.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.301 - -0.101. What is the nearest to a in 7, -4, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1742325 minus -2?\nAnswer: 1742327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2070995.575 rounded to the nearest one thousand?\nAnswer: 2071000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -40.85 - -41. Let m = t - 0.55. Let q = 0 + -1. Sort q, m, -23 in decreasing order.\nAnswer: m, q, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 137694771*l + 0 - 137694682*l.\nAnswer: 89*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 51\/70931 or 1?\nAnswer: 51\/70931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 3*q**3 + 13*q**2 + 6*q + 8. What is the remainder when 118 is divided by c(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6 - 6)*(-2)\/(-4). Suppose -i + 6*i - 45 = a. Round i to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*p - 16*p - 65*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12768, -13583, -14396, -15207, -16016, -16823, -17628?\nAnswer: -18431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from ccnnnccfcccjjcccfj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -8\/1083807 and 91\/1445076.\nAnswer: 4335228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 146, 144, 150, 170, 210, 276, 374?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/20124900 and 4\/9?\nAnswer: 20124900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 139 + -40. Let v be 2\/6 - 87\/m. What is the second smallest value in 3, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3773*s**4*t + 282*s**4 - 3110993*s**2*t - 3*t wrt s?\nAnswer: -90552*s*t + 6768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -t**2 - 905*t + 10156 wrt t?\nAnswer: -2*t - 905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5137 and -6?\nAnswer: -30822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m**3 - 22*m**2 - 118*m - 10. List the prime factors of i(-5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 1. Solve z = -n - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the third derivative of -y**6\/360 - y**5\/10 + 2*y**4\/3 - 3*y**3 - 219*y**2. Let k(c) be the first derivative of x(c). Give k(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*f**2\/3 - 24044932*f\/3 - 72269844360578\/3 = 0. Calculate f.\nAnswer: -6011233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24*x**3 + 4*x + 4*x**4 - 2*x**4 - 2*x - x to the form g + n*x**2 + a*x + p*x**4 + k*x**3 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19\/36 in 3\/8, 3, 26?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 328825149?\nAnswer: 3, 109608383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the first derivative of x**5\/5 + 2*x**3 - 1. Find the third derivative of s(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -147 + 397 - 568*n + 85.\nAnswer: -568*n + 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 16) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 12:57 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that 5*m**2 + 237185*m - 17817000 = 0.\nAnswer: -47512, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 23 divided by -407?\nAnswer: -23\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 545*m - 561*m - 240 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**3 - 7*k**2 - 5*k + 11. Let h be d(9). Let n = -1758 + h. What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -15\/13? (a) -3 (b) 2\/5 (c) 232 (d) 7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3800 and 12934592.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/((-3)\/(15\/2)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -74 - -50. What is the units digit of (4\/(-8))\/(1\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20778 + -20778. Solve u*z + 35 = 7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -3*h + 1, 4*h - 7 = i - 4. Let z(g) = -2*g**3 + 6*g**2 + 2*g. Let n(w) = -3*w**3 + 7*w**2 + 2*w. What is i*z(v) - 4*n(v)?\nAnswer: 2*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4.72991ns in seconds?\nAnswer: 0.00000000472991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 190439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -3*p - 1, -3*o + 5*p - 2 - 11 = 0. Suppose 0 = -2*r - 3*l + o, 0*r + 3*r + 4*l = 6. Solve 3*b - r = 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 - -16. Suppose 5*u - 5*t + 30 = 0, u + u - t + p = 0. Let s = -0.9 - -0.4. Which is the nearest to u? (a) 4\/7 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 12 and 172\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -9*v - 949. What is a(-105)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -4*o**2 + 2*o + 2. Let d(t) = -t - 1. Let s(y) = -2*d(y) - l(y). Let a(i) = -2*i**2. What is a(s(b))?\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of -n**6\/30 + n**5\/4 - 3*n**4\/4 + 7*n**3\/6 - n**2 + 10*n. Factor f(b).\nAnswer: -(b - 2)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7205006 is divided by 72?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 3*n**2 - 2*n - 7. What is k(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -305*c + 3. Let x(a) = -915*a + 11. Calculate -7*o(g) + 2*x(g).\nAnswer: 305*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2965 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 3 = -4*j - 9, 0 = f + 4. Let h(n) = n**2 + 4*n + 7. Let d be h(j). List the prime factors of -3 + 2 - (1 - d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of -12 - -10 - -649 - 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)*-2*6)\/(sqrt(108)*2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4104*p**2 - 3875*p**2 + 2*p**3 + 12 + 7979*p**2.\nAnswer: 2*p**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*o + 2547 + 99. Let y = o - 256. Calculate the highest common divisor of 114 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eqqqeqqqqqqqeqqqqqe. What is prob of picking 1 e and 1 q?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 2*v**3 + 7*v**2 - 3*v + 7. Let y(i) = i**3 + 6*i**2 + 5*i + 4. Let r be y(-5). What is the units digit of g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11761871\/97690 + -1\/19538. Let l = u - -124. Calculate the common denominator of -4\/9 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**3 + 7*x**2 + 7*x - 19. Let n = 82 - -5. Calculate the remainder when n is divided by f(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, s: 5, n: 4}. Give prob of sequence lsnn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 59, 88, 105, 104, 79, 24, -67?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12377 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: What is the remainder when 29578 is divided by 170?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 15674 + (-108)\/(-12) + 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 174\/144 - -2*(-1)\/(-16)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 - 38 = 9*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2936330096?\nAnswer: 2, 7, 191, 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 21 * -0.70401\nAnswer: -14.78421","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Is 23 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0*1\/(-2) + -23. Let s = -24 - t. Which is smaller: -1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1762497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 207 divided by -4.\nAnswer: -207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 - 30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 50, 116 in decreasing order.\nAnswer: 116, 50, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8\/(-28) - 27\/(-21). Let u(g) be the second derivative of 2*g**3\/3 - g**2\/2 + 2*g. Give u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 50 or 499461\/9917?\nAnswer: 499461\/9917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j + 6. Let x be (8\/(-3))\/((-10)\/15). Suppose 2*q - 12 = x*q. What is l(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -38248 divided by 19124?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -4*u**2 - 100*u. Let n(x) = -289*x. What is y(n(k))?\nAnswer: -334084*k**2 + 28900*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-7 + (-316)\/(-40) - 12\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 79528.53 nanometers to millimeters.\nAnswer: 0.07952853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, w: 5, x: 2, q: 3, e: 2}. Give prob of picking 1 w, 1 q, and 1 z.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of -21*n**5\/5 + 41*n**4\/2 - 29*n**3 + n**2 + 24*n + 359. Determine p so that j(p) = 0.\nAnswer: -3\/7, 1, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 522884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2202 (base 3) in base 12?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/9 - (-8)\/6. Let j(z) = -z**3 + z**2 + z - 2. Let l be j(-2). Let w be 0\/(4 + (5 + -3 - 4)). Solve -y*q = -w*q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 283, 702, 1123, 1546?\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -s + s - 3*s + (-s + s - s)*(0 + 2 - 1) + 63 - 185 - 2*s + 74.\nAnswer: -6*s - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 32 = -5*p. Suppose 0 = -10*n + p*n + 10. Solve 4*r + f + n = 0, -5 = r + 4*f + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/9 + 1622*d\/9 - 1640.\nAnswer: 2*(d - 9)*(d + 820)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (-6*(sqrt(117) - (5 + sqrt(117) + 2)))**2)*-5.\nAnswer: -8800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 45 (b) 7 (c) -485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -1897.124 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/3502420 and 7\/3502420.\nAnswer: 3502420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -213468 plus -205.844?\nAnswer: -213673.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -57, -209, -445, -807, -1337, -2077, -3069, -4355?\n\"Answer: -7*i**3 - 103*i + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 11440316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 652, 1311, 1982, 2671, 3384?\nAnswer: 4127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j**2 - 7*j + 206. Give w(9).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21704947519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-4\/11)*j\/((j*(j\/j**(-21))\/j)\/j))**3 assuming j is positive.\nAnswer: j**(-672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 655382 is divided by 40958.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from {j: 7, b: 3, f: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 1)*(-31*p**2 - 34*p**2 + 95*p**2)*(-4 + 2 + 0).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w, 4*w + 2 = 2*u - 6. Factor -r**2 + 2*r**3 - u + 7*r**2 - 2 - 2.\nAnswer: 2*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + 10111101000?\nAnswer: 10111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 10001010101100001000 (base 2) to base 15.\nAnswer: b34b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15.95 - 17. Let j = -0.05 - x. Which is the nearest to j? (a) -1\/10 (b) 0 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 20 = -2*s. Suppose -j - 4 + s = 0. What is the tens digit of (j - 1)\/1 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (208\/37674*657 - ((-42)\/(-161))\/(-3)) + -8?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(3*6\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + n + 455 = -4*n, 4*n - 12 = 0. Suppose 0 = -14*x + t + 102. What is the highest common divisor of x and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -189.61693 rounded to one dp?\nAnswer: -189.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 972430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -h + 1 - 5 - 9 + 1 to m + a*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the first derivative of -2*n**2 + 7*n + 5. Let u(o) = o - 2. Suppose 2*c - 2*q + 3*q = -13, 3*c = -4*q - 22. Calculate c*k(x) - 21*u(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - d - 1)*(1 - 4 + 1) - 3 - d + 3 + d - 2*d + 2*d)*(-156*d - 14*d - 53*d).\nAnswer: -446*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is h in 68*h**4\/7 - 16120*h**3\/7 + 1128516*h**2\/7 - 19828784*h\/7 + 5168560 = 0?\nAnswer: 35\/17, 23, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-9 - 400\/(-48)) + 20\/(-6). What is the units digit of (-1 - (-7695)\/20) + 3\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29705 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 + 4*q**2 - q + 3. What is b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5 or -9707\/2723?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1b2457 - 210?\nAnswer: 1b2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z - 61 = 142*x - 59 + 104, -z + 2*z + 37*x = -28 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1.037841 rounded to 3 decimal places?\nAnswer: 1.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 70527757211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*s - 71215 = 122589. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3585448316 to the nearest one million.\nAnswer: 3585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10\/(-3)*(-84)\/5. Suppose y = 4*r + 2*z, 3*r + 2*r + 2*z - 72 = 0. Calculate the least common multiple of 28 and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 826688*h**2 - 874*h - 171 wrt h.\nAnswer: 1653376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/4*(-18 + 290\/15). Solve 4*u = -4*k + q*u - 28, 16 = -4*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + -19 + 46 + 5 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76)*-1*4)\/(sqrt(144)\/sqrt(4)) + 3.\nAnswer: -4*sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 684749 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 68.78238 months in centuries?\nAnswer: 0.05731865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*i - 589*n + 324 = -591*n, -12 = 4*n for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000027974 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 2*o - 54 = 0, 0 = 15*q - 3*o - 1601 + 1574 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -ca - -7?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.71531 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -3*m**3 - 15441*m**2 - 338181*m + 353625 = 0.\nAnswer: -5125, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of 3*g**5\/5 + 2*g + 6. Differentiate s(m) wrt m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -129700*o - 378 + 129706*o + 378.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*q - 0*q. Let x(h) = h**2 + 63*h - 23376. Let p be x(-188). Calculate the greatest common divisor of p and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -7*q + 8*q. Let c = -100 - -69. Let d = q - c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14032748 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 2*u**4\/11 - 2974*u**3\/11 - 20886*u**2\/11 - 44802*u\/11 - 26892\/11 = 0.\nAnswer: -3, -1, 1494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be (18\/(-15))\/(((-6)\/(-15))\/2). Let k be (-12)\/(-18) - (-574)\/m. Let w be k\/20 + 5 + (-10479998)\/(-8). Round w to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 362 is divided by 113?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 12:05 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 3*r = -12, 2*c + 2*r - 16 + 4 = 0. Let w be (-1)\/(-4) - (-11)\/4. Solve 4*n + c + w = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -34, -2, 39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(19) - -3*(-4 + sqrt(19))))**2.\nAnswer: -104*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 322453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 7, z: 9}. What is prob of sequence hh?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*u**3 + 1788*u**2 + 3588*u.\nAnswer: -3*u*(u - 598)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-136773)\/(-501)*(-6)\/39.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39694 is divided by 13214.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.1 (c) -2\/15 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oxovvvxov. What is prob of sequence xvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (i - 3*i + i)*(64 - 64 - 2*i)*(0 + 1 - 3)*(-14 + 6*i + 14).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5\/8522, 3, -0.1, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 9324 by 2331.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -s - 10. Let b = s - -10. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.01 * 0.136\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -67 - -51 - (1 + 11 + 9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -150498.821 take away 0.13103?\nAnswer: -150498.95203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 44855*a**2 - 32816?\nAnswer: 89710*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16658 + 16658.5. What is the fourth smallest value in 2\/11, 1\/4, s, -10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7230 - 7230.04. What is the second smallest value in 5, -109, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -16582*y + 248120. Give i(15).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 362 + -334. What is the smallest common multiple of r and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 21 = 2*z, 4*z - 2 + 19 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add 305 and 0.442.\nAnswer: 305.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -1388*n - 129083. Calculate o(-93).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**2\/11 + 108*s\/11 + 1458\/11 = 0. What is s?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 3*b = -17, -4*w - 2*b + 16 = 2*b. Let f be (-4)\/(-18) + -3 + 3. Which is bigger: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14409930653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 - -12. Let j = -395\/187 - -39\/17. What is the fourth biggest value in 0.4, -5\/2, j, n?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -3\/5*h**2 - 42\/5*h - 24 = 0.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 412545751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*m - 51. Suppose w - 10 = -m, -r + w = -1969. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 - 397463.865008\nAnswer: -397494.865008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51744409?\nAnswer: 61, 848269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + (-1 - (-3 - -57)). Let v(r) = -26*r**3 - 3*r**2 + 7*r - 5. Let n be v(1). Let h = m - n. What is the smallest value in h, -0.2, 2\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1260 and 8256450.\nAnswer: 346770900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -47 + 31 + 28 - -6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -130 - -133. Factor x**u - 82566*x + 82556*x + 5*x**2 + 3*x**2 + 4 - 3*x**3.\nAnswer: -2*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 0 - 3)*(-3*y + 0*y + 4*y) + 0 - 2*y + 0)*(3 + y - 3).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -2536.39 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 20*k - 16*k. Let h(a) be the first derivative of 1\/2*a + 1\/10*a**5 - 1\/2*a**4 + a**k - a**2 - 3. Let h(t) = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 42 - 73. Let y = j + 83. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 0*a = 25. Suppose -a*k - 43157 = 3*v, -5*k - 4 = 1. Let i = 5284 + v. What is i rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.5 (b) -6\/5 (c) 2393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 0*s - 2 - 104*s**2 - s + 129*s**2. Let v = 19 + -20. Let a be r(v). What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppmtplitopplilplpopp. Give prob of sequence ipt.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 2 = 14. Let w = -3 - b. Suppose -w*i - 2 = -7*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 + 20 + 2*d**3 - 21 - d. Determine m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 96, 2, -7\/136, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 15795\/1386 + -11 - (-64)\/(-352)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3042 divided by -9\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17 + -21. Let z(w) = -3*w**2 - 4. Let m(k) = -k - 7. Let j be m(-6). Let r(d) = -d - 4*d**2 + 164 - 172 + 5*d**2 + 9. Determine j*z(g) + l*r(g).\nAnswer: -g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 1:52 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 152 = 157. What is the second biggest value in -2, p, -2\/7, 9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**3 - 9*a**5 + 3*a**3)*(-2 + 1 + 0)*(-5 + 12 - 40).\nAnswer: -297*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3482383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1749 + 5900. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(3\/7)*l\/(l\/(l*(l*l**(-5))\/l*l))*l**(-5)\/l**(-8) assuming l is positive.\nAnswer: l**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**3 + 30*y**2 - 137*y - 14. Let l be a(-34). Solve 0 = -11*j + 6*j + l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - t**4 + t**2 - t**2 + (2*t**2 - 1 + 1)*(t**2 + 2*t - 2*t) + t**4 - 3*t + 3*t + 2*t**4 + 0*t**3 + 0*t**3.\nAnswer: 4*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -336 - -339. Suppose 25 = 5*j - 3*i, 5*j + 2 + t = -3*i. Solve -2*r + 2*q - 5*q = 5, 18 = -4*r + j*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -4*k**2 - 16*k + 16. Let h(n) = -n**2 - 5*n + 5. Let g(b) = 5*f(b) - 16*h(b). Let a(q) = -14*q. What is a(g(u))?\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 37.30313ml?\nAnswer: 0.03730313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + n = -u - 4, -3*n = -3*u - 3. Let t = 2.2 - 2. What is the second biggest value in t, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -2956, -24042, -81274, -192724, -376464?\n\"Answer: -3012*j**3 - j**2 + j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from orrr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(22)\/(sqrt(288)*-2))**2.\nAnswer: 11\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 33762, 36873, 39984, 43095?\n\"Answer: 3111*z + 30651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 - 1)*(-21*m + 72 - 164 + 50).\nAnswer: 84*m + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 2. Let o(c) = 4 - 3*c**3 + 4*c + 4*c**3 - 4*c**z - 9*c. What is the units digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 + 22*b**2 - 6*b - 31. Let q be l(-21). Suppose -4*f + q = -2*x, -3*f + 544 = f - 4*x. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -939.1938269 rounded to one dp?\nAnswer: -939.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 237633 and 374452.\nAnswer: 12356916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19879, 39774, 59659, 79528, 99375?\nAnswer: 119194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 + 6*d + 12. Let o be j(-3). Suppose -140 = -4*l + 4*z, 5*z + 143 = o*l + l. What is the remainder when 159 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**(4\/5)*k\/(k*k**7)*k)\/(k**4\/(k*k\/(k**(2\/17)*k)*k)))\/((k\/((k\/(k\/k**(-2)))\/k))**(-2\/85))**17 assuming k is positive.\nAnswer: k**(-537\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**3 - 2*t**2 - 1. Let r(w) = -45*w**3 + 16*w**2 + 4. Give 6*c(y) + r(y).\nAnswer: -39*y**3 + 4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -74220 by 12.\nAnswer: -6185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 4:47 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uquuy. Give prob of sequence uy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 891 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nhmaynnynyanybbyay. What is prob of sequence nnb?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is 1303.57923 rounded to one decimal place?\nAnswer: 1303.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -8*d**2. Let a(m) = -8*m - 132 + 132. What is w(a(y))?\nAnswer: -512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 985, -1230, -7247, -18968, -38295, -67130, -107375, -160932?\nAnswer: -229703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 251037970.\nAnswer: 2, 5, 37, 678481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 182 - 2482 = 0. Suppose 5*p - r = 206. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2245, -1970, -1695, -1420?\n\"Answer: 275*y - 2520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of x**6\/1080 + x**3\/2 + 2*x**2. Let w(j) be the first derivative of i(j). Solve w(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -70186266811 minus -0.8?\nAnswer: -70186266810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30882 = -3*k - 3*z, 5*k + 2*z = -23239 + 74715. List the prime factors of k.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5152 = -137*o + 33*o - 80*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/12 in 0, -29, 4, 3, -246, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -145625 <= -145626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 245 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 31 + -21. Suppose -y = -5*s, 5*w + 2*s = 3*s + 13. Let m(z) = -z**3 + 3*z**2 - 3*z + 3. Give m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - 66 = 2*z - 10, -2340*z + 44 = 3*s - 2341*z for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 1)*(-3 + 3 - s) + s - 13*s - 5*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**4\/3 - 301*j**3\/3 + 427*j**2 + 4804*j\/3 + 2044\/3 = 0. Calculate j.\nAnswer: -2, -1\/2, 7, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*n = 22*n + 57. Suppose -5 + n = 13*k. Solve k*u = 6*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1020121113 - 100?\nAnswer: 1020121013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -130*t + 325. Let s be q(-6). Calculate the highest common factor of s and 1547.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/13 (b) 2\/3 (c) 8.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (-6 - 1 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3*(-10)\/(-45))\/(4\/18). Suppose 8*b - l*b = 210. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40635483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (969\/(-68) + (-2)\/(-8))) + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 4*i - 22. Let b be (-9 + 8)\/((-1)\/(-2)). Put i, 1, b in descending order.\nAnswer: i, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 7.793805s?\nAnswer: 7793805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 + 80 = 4*z. Let s(x) be the first derivative of x**4\/4 - 2*x**3 - 3*x**2\/2 - 5*x - 2. Is s(z) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2 - 5964*x.\nAnswer: x*(x - 5964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18 - 18. Suppose p = -d + 7*d - 246. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -3. Let a = -1 + n. What is the units digit of (-7)\/(-4) + a\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*z - 12*z - 3 = g, -g = 5*z + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/564606 and 73\/378.\nAnswer: 1693818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 99445540?\nAnswer: 2, 5, 229, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 514 - -1?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -702 - -1232. Suppose 0 = -5*d - h + 670, 2*d = -2*d - 2*h + o. What is the tens digit of ((-192)\/(-10))\/(18\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -4 + 1 + 302420\/(-144). Let x = r + 2105. What is the common denominator of 65\/6 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -2*v**2 + 4*v + 45. Let w be r(0). Suppose n + 9 = w. Let g(d) = -2*d - 2. Let p be g(-13). What is the highest common factor of n and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(114)\/(sqrt(12)\/sqrt(2)) - (0 + sqrt(684)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 219.5 plus 64?\nAnswer: 283.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8442 - 8439. Solve -119*k = -5*w - 120*k - 20, 10 = o*w + 5*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 11490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1245 + 1362. Suppose 234 = -a + 4*a. What is the highest common divisor of a and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, f: 1, b: 9, h: 1, p: 7}. Give prob of picking 1 p and 1 o.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 5, -2 in ascending order.\nAnswer: -2, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -212 divided by -4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*m - 126*m + 1815 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 260, 469, 638, 767?\n\"Answer: -20*o**2 + 269*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -540 + 539.999159. What is z rounded to 5 dps?\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and -529555?\nAnswer: -2118220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 172386355.\nAnswer: 5, 43, 163, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2896831*i**4 + 2*i**3 - 2*i**2 - 20552745*i wrt i.\nAnswer: 34761972*i**2 + 12*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 2*f - 7. Suppose 6*n - 2*n + 16 = 0. Let p(m) = 12*m - 2*m - 1102 - 7*m + 1094 - m. Calculate n*l(x) + 3*p(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-30505)\/(-5))\/(20 - 1). Let m = -321 + y. Let f = -0.27 - -0.07. What is the third biggest value in 1, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 4*c - 20, -3*c - 2*s = -4*s - 15. Solve -y + 7 + 16 = -c*n, 2*y - 11 = 3*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -69 - -80. Suppose 0 = 2*s - 3*y + f, 2*y + 1 = -4*s + y. Let b(d) = -17*d**2 + d + 1. Give b(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 100 = 5*u, -v + 12 = u - 18. Let m = 28 - v. Which is the nearest to -2\/3? (a) 0.8 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.056 + 55.944. Let c = q - 65.2. What is c rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -6*b - 9. Suppose 94 = 4*l - 158. Let p = l - 58. Let g(n) = 7*n + 10. Determine p*g(s) + 6*j(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 428, 426, 424, 422?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:03 AM and 2:31 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -309 + 308.999999647. Round s to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3568, -14277, -32122, -57103?\nAnswer: -89220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-4\/3))**33*(b\/(b\/b**(-34)))\/b**10 assuming b is positive.\nAnswer: b**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/c**(3\/4)*c*c\/c**(-3\/11))\/(c**(-5)\/(c\/(c\/(c**1*c)))) assuming c is positive.\nAnswer: c**(463\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1456 and -0.5.\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -430 + -224127?\nAnswer: -224557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 325694?\nAnswer: 2, 162847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -2*l + 44. Let c be (-805)\/(-63) + -13 - (-92)\/9. Suppose -b + 1 = 0, 13*w - b - 53 = c*w. Calculate the smallest common multiple of l and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(2\/3)*v)**(-33)*(v**1)**(-10))\/((v**(-2\/3))**(22\/7)*(v**0)**(-27\/2)) assuming v is positive.\nAnswer: v**(-2014\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 335281304.\nAnswer: 2, 23, 1822181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2126650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/14178 and 27\/10.\nAnswer: 70890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 3*t = 99, -3*b + 8*b - 4*t - 514 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-388432)\/(-6621)*((-1)\/(-4) + (-3)\/3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 597870 and 4095?\nAnswer: 597870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 844 is divided by 68.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 + 2*g + 5. Let v(o) = o**2 - 8*o + 4. Let w be v(8). What is p(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 4*m - 161 + 251 = 0, -2*p - 3*m + 0*m = m - 48 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -1 - 0)\/(387\/(-3870))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i - 2*k = -37, i - 39*k + 40*k + 6 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 70 = 4*g + 3*z + 90, 3*z = -36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15390223?\nAnswer: 15390223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**3 - 6*p**2 - p + 6. Let u be c(6). Suppose -3*j + 15 = -u*j. Suppose -2*h + 4*g - 3*g = -78, -57 = -h + j*g. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u - 1. Let k(p) = -4*p + 1. Suppose 2*f + 5*q - 11 = 0, 69*q = -3*f + 67*q. Calculate f*y(a) + k(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/13)\/(81\/(-18954)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (137600\/720)\/(-86) + (-4)\/(-18)*-1.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -79290*d*g**2 - 122038*g**2 wrt d.\nAnswer: -79290*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*o**2 - 17760*o - 1863540.\nAnswer: 5*(o - 3654)*(o + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/((6\/(-4))\/1). Suppose 0 = n*v - 3*v + 2. Solve v*j = j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -9*l**2 - 2 + 7 - l**3 + 2*l**2 - 7*l. Let k be 16\/6*(-18)\/8. Let o be b(k). Solve -m = -3*j + 1 - 9, 3*j = -2*m - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -20594 - -20596. Solve -16 = r*z - 32 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i**3 + 0*i**3 + 0*i**3)*(-i + i - 2*i**2) + 0*i**3 + 5*i**3 - 2*i**3 - 2*i**5 - 2*i**2 - 44*i**5 + 7 - 7.\nAnswer: -42*i**5 + 3*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 745 + -920. Which is the smallest value? (a) -2\/3 (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1155 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 352.999978036 + -353. What is c rounded to seven dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 328.19 - 343.19. What is the third biggest value in 1, -90, g?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2521 + -2491. What is the smallest common multiple of 120 and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3*n**3 + 1. Let o be f(-1). Suppose -o*l + 2*l + 4 = 0. Let t = 0.3 + -3.3. Which is the smallest value? (a) t (b) l (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6\/11 + -3\/55. Let c = 32.5 - 32. What is the biggest value in -3, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 155 + -136. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 118674 and 3222936?\nAnswer: 61235784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3552 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ehkk when four letters picked without replacement from {p: 1, h: 1, l: 2, e: 1, i: 3, k: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 238 + 244. Suppose -2*a + 933 = v*b, -23 = 4*a + 4*b - 1895. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the second derivative of p**4\/6 + p. Let m(s) = -551*s**2 - 203*s + 203. Let u(k) = 8*k**2 + 3*k - 3. Let i(d) = 3*m(d) + 203*u(d). Give f(i(h)).\nAnswer: 1682*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 805601677 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (((-63)\/18*12)\/2)\/(13\/13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (4*((sqrt(168)\/(sqrt(3)*-2 - sqrt(3)) - sqrt(56)) + sqrt(224)*1))\/((-4*(sqrt(8) + sqrt(40)\/sqrt(5)) - sqrt(8)) + 1*sqrt(200)))**2.\nAnswer: -20*sqrt(7)\/3 + 253\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -13585c7 - 66?\nAnswer: -1358660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 3*o + 27. Let q be u(-8). What are the prime factors of ((-9)\/((-9)\/4) - q)*186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5*j**4 - 119*j**3 + 160*j - 23229907 wrt j?\nAnswer: -20*j**3 - 357*j**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*m - 3*m + 4*m)*(11 + 5 - 14)*(1 + 2 - 1) to t*m + b and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -2*r**3 - 11*r**2 - 5*r - 7. Let q(t) = -t**3 - 5*t**2 - 2*t - 3. Suppose 11*p - 14*p - 7 = 5*m, -4 = m - 2*p. Calculate m*v(o) + 5*q(o).\nAnswer: -o**3 - 3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ouuh when four letters picked without replacement from ugtgughuhuugoouhgco.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + s - 1409 = 0, -2*p - s = -313 - 392. Calculate the greatest common factor of p and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1006518 and 111684?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 7568, 7343, 6968, 6443, 5768, 4943?\n\"Answer: -75*s**2 + 7643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.066 and -0.41?\nAnswer: 0.02706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 3+-12962\nAnswer: -12959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 377 - -178?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4656 = -189*b - 9003 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 352 - 143. Suppose -2*y + 100 = 4*h, 7*h - m = -4*y + 2*h. Suppose 0*g - 7 = -g. What is the highest common factor of g and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 273*m + 26524. Determine c(-97).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34\/(-7)*(-7175)\/2050.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (54\/42)\/(-3) - 30\/(-21). Let u(p) = 11*p**3 - p**2 + 1. Give u(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**3 - 2*h**3 + 2*h**3)*(8*h + 6*h - 8*h) - 4*h**3 + 4*h**3 + 2*h**4.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/(-112) - (-3)\/(-12). Let v = -2 + 6.4. Let p = v - 0.4. What is the closest to r in p, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 122 - 100112202?\nAnswer: -100112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00342547 rounded to four dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 13 - 28 - 448*x + 16 + 2*x + x - 4*x - 4*x + 6*x + 0*x + x + 0*x - 2*x + (3*x + x - 2*x)*(-4 - 2 + 4) in the form b*x + i and give b.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(38) + sqrt(456)\/(sqrt(12) + sqrt(192))))\/(sqrt(8)\/(((sqrt(4) - sqrt(4)*1) + sqrt(4))*-4 + sqrt(4) - sqrt(4))).\nAnswer: -48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 52 = -38. Let d be (-1)\/(-4) + x\/12. Solve 4*h = -20 + d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of k**4\/6 + 16*k**3\/3 - 17*k**2 - 22*k. Factor z(y).\nAnswer: 2*(y - 1)*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 186*l**3 - 3*l**2 + 9*l - 5. Let a(b) = -91*b**3 + 2*b**2 - 5*b + 3. What is 5*a(m) + 3*d(m)?\nAnswer: 103*m**3 + m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 131308 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -40199*p*q**2 + 2*p*q + 5*p + q**2 - 115*q + 48 wrt q?\nAnswer: -80398*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*-2*sqrt(77) - sqrt(77)) + sqrt(77))\/sqrt(7).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4 - 1 - 5 - (-3 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 143 - 134. Suppose -24 = -g - d. Let r(z) = g*z + 16*z + 2 - z**2 - 30*z. What is r(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -51.8 + 52. Let p = -3.97 - 0.03. Let h = p - -8. Which is the closest to 1? (a) -0.4 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k**(-4))*k\/(k**(-10)\/k))**(-7\/6) assuming k is positive.\nAnswer: k**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-27*d**3 - 7*d**3 - 12*d**3)*(-5 + 2 + 2)*(3 - 1 - 3)*(-3 + 4 - 4).\nAnswer: 138*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 137, 4, -5, 9, -0.03 in ascending order.\nAnswer: -5, -0.03, 4, 9, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:54 AM and 12:08 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1360541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 - 4*b**2 + b. Let w = -5 - -9. Let s be l(w). Suppose 0 = -t - 2*m - 1, -2*t + s*m - 5 = 3*t. Which is bigger: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**9*l*l**(-6\/13)*l)**(-19) assuming l is positive.\nAnswer: l**(-2850\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) 0.04 (c) 3\/2 (d) -0.5 (e) -1\/5 (f) 0.0206\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Calculate 13*32665.\nAnswer: 424645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 253359.\nAnswer: 3, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1.1, -30, 3\/5, 28, -14.4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -158.834 - -159. Let h = 3987.4 + -3939.934. Let v = q - h. What is v rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -257 - -616. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 49376.83mg?\nAnswer: 49.37683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 877914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 169\/57 - -45\/19. Determine w, given that -10\/3*w + 2\/3 - 8\/3*w**3 + d*w**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.1 + 37.6. Let s = 36 - k. Let m = -7 + 6.7. Which is the smallest value? (a) -1 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -26\/11 and -61\/2758?\nAnswer: 30338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 = 4*y + 242. Let b = y - -49. What is the remainder when 1066\/8 - (-9)\/b is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 22811 divided by -4\nAnswer: -22811\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*q**4 + 16*q**4 - 16*q**4)*(2*q + 0*q - q) + (0*q**4 - 3*q**4 + 2*q**4)*(-2*q + 0*q + q).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 729084 and -0.8?\nAnswer: -583267.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes before 5:52 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -435212, -870362, -1305528, -1740716, -2175932?\nAnswer: -2611182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q = -3*q + 2*v + 76, -q - 4 = 3*q + 20*v for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 9 (b) -2\/5 (c) 23 (d) 4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 8 - -9 - (0 - -25)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*n + 0*n + 3*n)*(-88 - 129 + 1 + 68).\nAnswer: 296*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -34, -71, -112, -157, -206, -259, -316?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -2490 times 1076\nAnswer: -2679240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 240 - 399. Let n = -152 - g. Put -3, 5, n in decreasing order.\nAnswer: n, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -42*u + 526. Determine i(4).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 4, q: 1, s: 1, k: 1, p: 2}. What is prob of picking 2 h, 1 q, and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 1 (b) -2\/3 (c) -2 (d) -0.01 (e) -23\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = 1385*x - 1381*x + 11, 2*x = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*z - 3 + 8*z + 283*z**3 + 3874*z**2 + 3 - 3877*z**2 to the form o + c*z**3 + t*z + h*z**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes before 7:27 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 78650 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 100111101000101011110011 (base 2) to base 3\nAnswer: 201112212202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 947481148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3533254959 to the power of 1\/2, to the nearest integer?\nAnswer: 59441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238396 is divided by 135?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9084 - 8282. Solve -r*j = -784*j + 144 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 218 + -18. Suppose -3*v + r = 2*v. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -175 + 234. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15 and 20535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-18)*(-12 - -10). Suppose 0 = 3*v + v. Let r be (-2)\/(-4)*-2 + v. Sort r, u, -4.\nAnswer: -4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -18 + 11. Suppose p - 3 = 11. What is the lowest common multiple of p and (7\/o)\/(1\/(-18))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 42496*l + 8. Let p be q(2). Round p to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 5*t + 117139 = 0, j + 9*t - 117127 = 7*t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 - 83)\/((-6)\/20). What are the prime factors of (w\/63)\/(2\/14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 2*v + 17 = 3*v, -c + 5 = 4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 440*h**2 + 14*h - 11. Let z(o) = -110*o**2 - 3*o + 3. Calculate 2*b(c) + 9*z(c).\nAnswer: -110*c**2 + c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 70762*m - 73794.\nAnswer: 70762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119849 is divided by 740.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -47 + 27. Let v be ((-56)\/(-20))\/((-8)\/c). Is ((-1994)\/(-4))\/((7\/2)\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and (-54)\/(-7) + (-2)\/(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the second derivative of 15*k + 1\/12*k**4 + 13\/2*k**2 + 0 - 4\/3*k**3. Let z be w(6). Which is bigger: z or 4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (1 + 31\/(-6))\/2 and 938\/42*3\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 169 - 67 = 3*g. Let l = 213 - g. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = a + 3*a. Let f(o) = 17*o + 5. Is f(a) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -23*o + 85. What is h(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of 3*m**6\/260 - m**5\/65 - 5*m**4\/39 - 8*m**3\/39 - 17*m**2. Find b, given that r(b) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-4) - 213\/(-12). Suppose -3*i + 30 = 4*x, x + x + 3*i = q. Let p(z) = z**2 - 6*z. Let t(f) = f**2 - 5*f. Calculate x*p(b) - 7*t(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -9244*f - 27865. Let u(j) = -2641*j - 7957. Let z(h) = 18*u(h) - 5*y(h). What is the derivative of z(a) wrt a?\nAnswer: -1318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16741, 34381, 52021?\nAnswer: 69661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 + 9. Let q(y) = -y**3 - 12*y**2 - 10*y + 1. Let u be q(-11). Let n be (1\/3)\/((-5)\/u). What is the third smallest value in c, 2\/11, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22393 - 10362. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15)\/6*(-4)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.5 + 0.49997. Let r = 0 - x. What is r rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1957 is divided by 972?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/(-2)*(-16)\/12. Let l(m) = -10*m**3 + 5*m**2 + m + 11. Let k(z) = 2*z**3 - z**2 - 18*z + 0*z**3 - 2 + 18*z. Calculate j*l(x) + 11*k(x).\nAnswer: 2*x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 13*b - 1. Let g be l(1). Suppose -4*q = 3*u - 9 + 25, -u - g = 3*q. Let i(d) = d**3 + 3*d**2 - 4*d + 2. What is the units digit of i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 44 = -5*s. Let l be 0*2*2\/8. Suppose l = -2*k + 4*b - 6 + s, 5*b + 10 = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-24)*6\/4. Which is the closest to n? (a) -1 (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - l + 3. Let x(o) = -17*o - 2. What is the remainder when 57 is divided by x(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 308 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (340\/1955)\/(15\/(-345)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -30, 1660\/13, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the third derivative of -l**5\/270 + 5*l**4\/36 + 16*l**3\/27 - 125*l**2. Find b such that x(b) = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -14928, -29898, -44868?\n\"Answer: -14970*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -188*k + 3592*k**5 - 7176*k**5 + 8*k**2 + 92 + 184*k**3 - 100*k**4 + 3588*k**5.\nAnswer: 4*(k - 23)*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 254519249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b = 10*b + 5*k - 4943, 2*b + 5*k - 2469 = 0. Calculate the remainder when b is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the second derivative of r**4\/6 + 5*r**3\/6 - r**2\/2 + 2*r. Let c(o) = -o**3 - o - 1. Let w(k) = 2*c(k) + p(k). What is w(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the second derivative of 0*f**3 + 0*f**5 + 0*f**4 + 1\/240*f**6 - f**2 + 0 + f. Let n(o) be the first derivative of w(o). Factor n(d).\nAnswer: d**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -11*b**2 - 12*b + 16. Let p(m) = 13*m**2 + 13*m - 19. Let s(t) = -6*j(t) - 5*p(t). Give s(-11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0006067901 to 5 decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 334*d + 6 = 5*p + 333*d, 3 = -3*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -0.87, -451 in increasing order.\nAnswer: -451, -0.87, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3.133*3\nAnswer: -9.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.007045 + -0.292955. Let u = 2 - 2.1. Sort -3, -1\/3, m, u in decreasing order.\nAnswer: u, m, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**3 - 5*t**2 + 1. Let x be u(-5). Let s = 7 - x. Calculate the smallest common multiple of ((0 + s)\/3)\/1 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 925616 and 15088?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and -5097.\nAnswer: -25485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104888037 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ndknnbnnbabakbkkakka. What is prob of picking 2 a, 1 n, and 1 d?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of k*o**2*v**2 + k*o**2 - 3*k*o*v**2*z + 7*k*o - 23*k*v**2*z - 4*o**2*v - 2*o*v*z wrt v.\nAnswer: 2*k*o**2 - 6*k*o*z - 46*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 99538 by 49769.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-19 - -3) - (213 + -237) - 5 - -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(3 - (-104)\/(-34)). Calculate the greatest common factor of z and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9346 + -9350. Let u(s) = 3*s**2 + 1. Let p be u(-1). Suppose -4*k - 2 = -3*t, 5*k - p*t - 7 = -5*t. Sort 2, k, z in decreasing order.\nAnswer: 2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 906 + 323 - 1229 - 109*p**3.\nAnswer: -109*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - (3 - 11)*13. Let x = -104 + g. Solve x*n - 2 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18103981, -36207961, -54311941, -72415921, -90519901?\nAnswer: -108623881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -1172106 by -117.\nAnswer: 10018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*r - 3 = 21. Let v be (-5 - 74\/(-15))*18\/r. Let o be (-42)\/(-45) - (-4)\/10. Which is the smallest value? (a) 2 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -7*n - 1353. Let g(s) = -6*s - 1352. Determine -6*g(i) + 5*k(i).\nAnswer: i + 1347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*k**2 - 3*k**2 - 37*k**2 - 8*k**2 to the form g*k + f + x*k**2 and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -2502.4, 0.2 in decreasing order.\nAnswer: 0.2, -0.3, -2502.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 1 + -1 - (24 + 23 + -35).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 15, d: 4}. Give prob of picking 2 u and 2 d.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {i: 1, r: 3, z: 3, p: 1, b: 1, s: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -32, -0.1, 3 in descending order.\nAnswer: 3, -0.1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*o**2 + 6*o**2 + 1 - 8*o**2 + 67*o**2.\nAnswer: 75*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 45*d**5 - 116*d**4 + 359*d**3 + 3406*d**2 + 255*d - 4?\nAnswer: 2700*d**2 - 2784*d + 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55 is divided by ((-10)\/7)\/((-12)\/252).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (15\/45)\/(1\/24). Let v(m) = -m**3 + 9*m**2 - 3*m - 39. Let c be v(t). What is the remainder when -113*1\/(-2)*c*2 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes after 8:01 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 7.7 equal to -0.0448627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2448170 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**2 + 4325*z + 873120.\nAnswer: 5*(z + 321)*(z + 544)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -159*v - 264. Let p(q) = 38*q + 66. Let k(y) = -5*a(y) - 21*p(y). Determine k(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/4 or -50009065?\nAnswer: -50009065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -34d6b (base 15) to base 7.\nAnswer: -1300652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((4176\/5220)\/(88\/15))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -186936*x**2 + 93455*x**2 - 910 + 63*x + 93468*x**2 wrt x.\nAnswer: -26*x + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1283, 1066, 849, 632, 415, 198?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of m**6\/3 - 11*m**5\/5 - 47*m**4\/6 - 8*m**3\/3 + 12*m**2 - 6*m - 1. What is f in p(f) = 0?\nAnswer: -1, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**3\/11 - 17464368*f**2\/11 + 34928742*f\/11 - 17464372\/11.\nAnswer: -2*(f - 1)**2*(f + 8732186)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 4949, 4976, 5025, 5102, 5213?\n\"Answer: d**3 + 5*d**2 + 5*d + 4938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/3*18\/(-4). Let d(y) = -3*y + 1. Let w(p) = -5*p + 4. Let z(q) = 6*d(q) - 3*w(q). Let k be z(x). Solve k - 1 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2204 in -5, -9, -1\/640, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -z + 14, 2*z - 11966 = -2*m - 11962 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 2*k**2 + 41*k - 39. Let l be v(-40). Let h = l - 788. List the prime factors of h.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -668*h**3\/7 + 6880*h**2\/7 - 2000*h\/7.\nAnswer: -4*h*(h - 10)*(167*h - 50)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5076819 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lq when two letters picked without replacement from {q: 4, w: 6, l: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 53736 + 46?\nAnswer: 53781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.5 - -4.5. Which is the second smallest value? (a) 2\/3 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 549\/100 at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 123*v**2 - 21*v + 43. Let i(z) = 2*z. Give i(h(y)).\nAnswer: 246*y**2 - 42*y + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 23980 and 47960?\nAnswer: 47960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 388 + -375. Do 16 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39388 divided by 9847.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f - 2. Let c be ((-15)\/6)\/(-5)*8. Let u be w(c). Is u at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 435411\/26 - 16748. Find the common denominator of k and 151\/258.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 142, 252, 356, 454, 546?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*z**2 - 39*z**2 + 61*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.25 + 3. Let k = -401.95 + 417. Let r = x - k. What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2300?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x + 13 + 113 = 0. Let z = x + 23. Solve -z*q - 3*j = -3, 5*j = -q + 3*q + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -306, -401, -166, 405, 1318, 2579, 4194?\n\"Answer: t**3 + 159*t**2 - 579*t + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1\/6)*h**(-3\/5))\/(h**(-1\/5))**(-29) assuming h is positive.\nAnswer: h**(-197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34, 44, 68, 112, 182, 284, 424, 608?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l**4\/2 + 2735*l**3 - 6376*l**2 + 4553*l - 1821\/2 = 0.\nAnswer: 1\/3, 1, 1821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be (40\/(-11) + (-6 - -10))\/2. Let w = -11 + 11. Sort m, 3\/2, w in ascending order.\nAnswer: w, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -112\/15 - -38\/5. Let v(l) be the first derivative of 0*l - 1\/3*l**4 + 1 + 0*l**2 + 2\/9*l**3 + u*l**5. Determine n so that v(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 9 = -o - 16, -4*k - 4*o + 44 = 0. Is 6\/4*11228\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1055081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 86170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -29f6 (base 16) in base 7?\nAnswer: -43214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -3*x**3 + 11*x**2 - 570*x + 22. Let w(y) = -y**3 + 2*y**2 + 4. What is -m(b) + 5*w(b)?\nAnswer: -2*b**3 - b**2 + 570*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*z + 34*z + 34*z - 81*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -2*m**3 + 253*m**2 + 104*m + 2926. What is h(127)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1 times 25370\nAnswer: -25370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -c**4 + 2*c**3 - 2413201*c**2 - 8219539*c.\nAnswer: -12*c**2 + 12*c - 4826402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -111 + 557\/5. Let k be 2\/20*(-2 - -1). Let h be (-3)\/(-1 + (1 - -1)). What is the smallest value in k, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1438.9 + -1434.9. What is the closest to 1\/2 in g, 6\/7, 0.5, -6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32906200?\nAnswer: 2, 5, 164531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/537 + -1084\/2685. Which is the nearest to -1\/6? (a) v (b) 0.5 (c) 5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-2*(2 + sqrt(700) + 2 + sqrt(700)) + 1 + -2*(0 + sqrt(700) - sqrt(700) - sqrt(700))*-4)**2.\nAnswer: 15680*sqrt(7) + 181601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3 times 16735537?\nAnswer: -21756198.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {s: 1, m: 2, h: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let s = -57 - -63. Let c be 3 + 26*(-9)\/s. Is -35 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9\/10 in -4, 2\/585, -2?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -19783*f**2 - 4212 wrt f?\nAnswer: -39566*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - -5 - 6) + (21 - 39) + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000571 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0 - (3 - 6) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*m - 2*m + 6*m + 17 - 10*m.\nAnswer: -m + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -297 + 297. Solve -b + 17 - 16 = w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k + 11. Let m(d) = 1552*d + 66. What is -m(a) + 6*n(a)?\nAnswer: -1546*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -18.7 + 17.7. Which is the closest to -1.7? (a) o (b) -5\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 15 = -w. Suppose g = -s - 0*g + 4, g = 5*s - 8. Suppose s*z - 3*y - 7600006 = 0, 3799994 = z - 2*y + w*y. Round z to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 11:07 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times 633.332?\nAnswer: -2533.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 2*l**3 - 11*l**2 - 41*l - 46. What is the units digit of s(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 - 3*t**2 + t + 5. Let s = 11209 + -11164. What is the least common multiple of s and g(4)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**2 - g - 14. Let l(s) = -s**2 - 7. Let p(x) = 7*l(x) - 4*q(x). Let z be p(-11). Round z to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:16 PM and 8:08 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1 from -52389748311.788.\nAnswer: -52389748310.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -40, -406, -1398, -3328, -6508?\nAnswer: -11250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 51270276 to the nearest integer?\nAnswer: 7160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -13*d**2 - 9*d - 21. Suppose 185*f - 173*f + 24 = 0. Let b(k) = -3*k**2 - 2*k - 5. What is f*q(s) + 9*b(s)?\nAnswer: -s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -3*f**5 + 15969*f**4 - 21258678*f**3 + 20971386*f**2 + 360887481*f + 318641445 = 0. What is f?\nAnswer: -3, -1, 5, 2661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 87\/21232 and -4\/9.\nAnswer: 191088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of -7.52093 and 6.\nAnswer: -1.52093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 20599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, 20, -1.3713?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -43705 + 174899\/4. Calculate the common denominator of v and -23\/607.\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 952\/2380*((-1)\/((-2)\/(-8)) + (-174)\/(-41))?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (0 - 0) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 45345, 45001, 44425, 43617, 42577, 41305?\n\"Answer: -116*q**2 + 4*q + 45457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 164628907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 49*d**2 - 160*d**2 + 1825*d - 1825*d. Let i(h) = 2*h**2. Give i(b(c)).\nAnswer: 24642*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*q + 35 = 14*q. Let h = q - -11. Find the third derivative of 18*x**2 + 6*x**5 + 392*x**h - 392*x**4 + 22*x**2 wrt x.\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.219 and -9.8?\nAnswer: -2.1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 3*p + 4*d, -2*p + 5*p = -5*d + 32. Suppose -66 + 378 = 8*j. Let q(u) = -12 - 35*u + 11 + j*u. Determine q(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 8*a**3 + 2*a**2 + 2*a + 2 - 221*a**4 + 0*a**2 + 222*a**4 to s*a + q*a**3 + g + i*a**4 + x*a**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 780015 = -2*d - 3*u, 3*d - 1169975 = 5*u. Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + 0. What is the second derivative of -x**2 - 4*x**2 + 3*x + x**2 + 3*x**c wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -16a + -4?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-41)*792\/55 - 34\/(-85).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(1088) - ((3 + -2*sqrt(1088) - sqrt(1088)) + sqrt(1088)))**2.\nAnswer: -39204 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -66 + 114 - (14 + -6).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -22\/365669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -10\/57 (b) -3 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*s**2 - 4070*s - 2712.\nAnswer: -(s + 1356)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-75)\/(-50)*(-772)\/(-3) is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 933119 is divided by 410.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 1176*j**2 - 2. Let s(a) = 151390*a. What is s(l(f))?\nAnswer: 178034640*f**2 - 302780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 p when four letters picked without replacement from oooipoppopappp?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -33 (c) 2\/5 (d) 1 (e) 385 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2639896899 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 - 63 = 5*f. Let x = 33 + f. Suppose 0 = 3*d + x - 20. Solve 2*h + d = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -31 (base 11) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes before 6:20 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71180 is divided by 5372.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 81 + -14. Let i = 772 + n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12607.\nAnswer: 7, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the second derivative of 0 + 1\/3*i**3 + 1\/40*i**5 + 1\/40*i**6 + 0*i**2 - 5*i + 0*i**4. Let r(p) be the second derivative of y(p). Factor r(j).\nAnswer: 3*j*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37091455?\nAnswer: 5, 83, 139, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the third derivative of -k**7\/840 + k**6\/90 + k**5\/60 - k**4\/4 + k**3\/2 + 2*k**2. Let h(b) be the first derivative of g(b). Determine h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1001658474 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/144 and 26\/3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 1\/116 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -0.8, -247, -0.5 in decreasing order.\nAnswer: -0.5, -0.8, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u**2 - 23*u - 8. Let c be b(-11). Solve m = -3*m - 5*l + 11, -l = -c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2\/4 + 16563555*h\/4 + 4140888.\nAnswer: 3*(h + 1)*(h + 5521184)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 4, -0.2, 3, 1757?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1042673639 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - 450\/(-40))*(-12)\/(-42).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 703 = -422. Let d = b + -148. Let t be ((-16)\/24)\/(4\/(-66)). Calculate the greatest common factor of d and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 5*z - 37. Let r be g(8). Suppose 0 = -3*d + f + 475, -314 = r*d - 5*d - 2*f. What are the prime factors of d?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from vvvggbbvvvbvwgvw.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32808.\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2850, -9\/4, -4, 4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2124*r + 2104*r + 2132*r - 6409*r.\nAnswer: -49*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 - 3*i + 8. Determine v(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 337 is divided by 97.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 31\/((-20646)\/(-444))*(-6)\/208.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -1 - (0 + (9 - 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 62 + -5. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**2 + 21*f - 8. Let p be y(14). Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(4 + 1 + sqrt(272) + -1 - (2 + -3 + (sqrt(1700) - (-2 + sqrt(1700))))).\nAnswer: -20*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the second derivative of 0 + 0*j**4 + 1\/14*j**7 - 23\/3*j**3 - 1\/10*j**5 - 192*j + j**2 + 0*j**6. What is the second derivative of q(l) wrt l?\nAnswer: 60*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2820507436?\nAnswer: 2, 887, 794957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 63 + -58. Suppose 93 = -b*z + 118. Suppose -4*w + 276 = 3*h, 2*h - 5*h + z*w + 303 = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the third derivative of -7\/60*w**5 - 24*w**2 - 13\/12*w**4 + 0*w**3 + 0*w + 0. What is the second derivative of z(b) wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 697 + -752 + 2 + -4 + (1 - -1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -3, 1, -32, 4, 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -592 divided by -33762\nAnswer: 296\/16881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -8, 1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.74 * 31595.29.\nAnswer: 23380.5146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100 + -100001?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 77 - 68. Let q be 3\/u + (-8288)\/24. What is q rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in fifty-one quarters of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-9)*60\/(-64).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-20)\/(-15))\/((-2)\/(-3)). Suppose 5*m - d*c = 9, -c + 6 = c. Calculate the highest common divisor of m and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 3*b + 22 = 0. Let i = -22 - b. Solve i = -3*d - 10 + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 968\/3 + -323. Put r, -30, -4\/7 in descending order.\nAnswer: r, -4\/7, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6531218*10.\nAnswer: 65312180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-480)\/16)\/10 - -55.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(-7) + 216\/(-21). Let u be 4\/g + (-328)\/5. Let j = -19 - u. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/267777 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8241367*w**2 - 225839 wrt w?\nAnswer: 16482734*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 573544*g**2 - 13*g + 10496162?\nAnswer: 1147088*g - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35) + sqrt(140)\/sqrt(4))\/sqrt(7)*-3.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h + 4*h**3 - 17*h**3 + h**2 + 4*h**3 + 8. Let s be z(-4). Suppose -2*d = -1122 - s. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 635\/630 - (-2)\/(-9). Let k = n - 13\/14. Suppose 2*q = 5*o + 4, 0 = q - 3*o - 6 + 4. Which is the second smallest value? (a) q (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a factor of 13924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -167*h**3 + 11*h**2 - 658*h - 1 wrt h.\nAnswer: -1002*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 5*c + 2*c = -29, d + 5*c - 25 = 0. Suppose 2*i + 5*l - 14 = 0, -6*i + i + 5*l + d = 0. Solve -4*v + i*v = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 + 3)\/(-4) - (-3 - 0). Solve -23*s - 3*s**3 - 10*s + 5*s**2 + 15*s + 10*s**i = 0 for s.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 451163477 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is o in 1805*o**4 + 14915*o**3 + 27510*o**2 + 18720*o + 4320 = 0?\nAnswer: -6, -1, -12\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4265\/42 - -712\/7. Factor -g*x**4 - 16*x**2 - 128\/3 - 8\/3*x**3 - 128\/3*x.\nAnswer: -(x + 4)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 + 11*k**2 - 8*k - 39. What is w(-11)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -4.79 (b) -3\/2 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/24)\/((-1)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1708 - 131 - 162 - 1328 - 2022)*(0*g + 4*g - 3*g).\nAnswer: -5351*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 496 = -51*d + 3*o, -3*d - o + 5 = -10*o - 3*o - 49 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/10 in -0.4, -5, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i**2. Suppose -8*f - 5*f = -7*f. Let b(y) be the first derivative of -8 + f*y + 13\/2*y**2. Calculate a(b(x)).\nAnswer: -338*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 4*v**2 - 882*v - 3. Let w(m) = -3*m**2 + 5. Calculate j(u) + w(u).\nAnswer: u**2 - 882*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 11687117*p**4 - 26079753.\nAnswer: 46748468*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8847, 17690, 26533, 35376, 44219?\nAnswer: 53062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 65380 and 228830?\nAnswer: 457660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*f - 148 + 302 - 150.\nAnswer: -38*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 91\/2 of a tonne in kilograms?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 15114291 and 475.\nAnswer: 377857275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 - 2.85. Let x = -0.15000057 + w. What is x rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**8\/t*t\/t**(-2\/29)*t)**(9\/7)*((t*t**(-6))\/(t\/((t\/(t\/(t**(-1\/3)*t)))\/t)*t))\/(t**5*t*t**(-1\/4)) assuming t is positive.\nAnswer: t**(-3467\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.00568 and -5?\nAnswer: 5.00568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of -n**4\/14 + 2*n**3\/7 + 9*n**2\/7 + 10*n\/7 + 2598. Factor c(a).\nAnswer: -2*(a - 5)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 1061589933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 1:57 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 89 + -1208. Let p = f + 1996. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 521755 and 14309?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -11220 + 0?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 140.6371 to the nearest integer.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 84.95438 weeks?\nAnswer: 856340.1504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k + 71. Let v(l) = 3*l - 212. What is 2*v(b) + 7*x(b)?\nAnswer: -b + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be 42 - (0 + 2) - 0. Suppose -4*d = d - 20. Suppose -t = -d - 1. Calculate the greatest common divisor of t and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -40*i. Let r(s) = 173*s**2. Determine r(f(d)).\nAnswer: 276800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 5, m: 11}. What is prob of sequence mbm?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12761444*o**2*u**3 + 25*o**2 - 169*o + 156 with respect to u.\nAnswer: 38284332*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 317851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 65 = -3*r + 40, -4*r + 23 = -l. Let j = -10731\/8 - -1351. Calculate the common denominator of j and (-6)\/(-3) + l\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/(-5)*(-195)\/26. Let c = 138 - q. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 - 2*p - 2. Let j be k(3). Let a = -5 + j. Let w(o) = 3 + 0*o - o + 0*o - 2. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/9)\/((s*s\/(s**(7\/2)\/s)*s)\/s*s)*(s**(-1\/9)\/s)**(9\/2))**(-2\/17) assuming s is positive.\nAnswer: s**(103\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -34*i - 9*i + 11*i + 16*i + 15*i. Let f(v) = 4*v + 6. Calculate f(l) + 5*y(l).\nAnswer: -l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -459 - -3b6?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-68)\/((-114240)\/252)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - 56*n = -54*n - 8, -47 = -9*a + 2*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aas when three letters picked without replacement from {s: 7, a: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/(-1))\/((-2)\/22). Let w(m) = -8*m - 9. Let l(p) = -3*p - 3. Let q be (-36 - -17) + -11 - -26. What is i*l(x) + q*w(x)?\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1.019914 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 4 - 6 + 29*z**2 + 18*z**2 as i*z + g*z**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be 12\/(10 - -62) + 2\/(-12). Factor 0*h + 0*h**2 - 1\/5*h**3 + z.\nAnswer: -h**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m + 50. Let o(d) = 237*d**2 - 484*d + 15. Let f be o(2). Let w(p) = p + 50. Give f*w(x) + 6*r(x).\nAnswer: x + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m = 2*t - 50, 2*m - 33545 + 33560 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**2 - 15*l + 19. Suppose 0*h + 14 = h. Let y be u(h). Solve 3*v + y = 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 512266 or 512267?\nAnswer: 512266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 - 3*c**2 + 4*c + 3. What is a(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9735 or 9751?\nAnswer: 9735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2632, -2128, -1626, -1126, -628?\n\"Answer: -i**2 + 507*i - 3138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1003 - -828. Let f = p + 180. Solve 3 = -o - k, -f*k = -2 + 27 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13553 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 146473961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.24047 * -12.\nAnswer: -2.88564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 + 16. Let o be -7*(-9)\/(-63) + 1. Sort u, 6, -3, o.\nAnswer: -3, o, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = -4*b - 10, 4*b = -3*o - 0*o - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 0 - 3 - 3 + z**2 + 0 - 3*z. Let s be m(3). Let p be (-91)\/(-39) - (-2)\/s. Solve 0 = 7*n - p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76 times 0.5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and 4098.\nAnswer: 1229.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -514758.95 to the nearest one thousand.\nAnswer: -515000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-9))\/(16\/6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17)*-4 + sqrt(17))*-4 + (sqrt(68) - (sqrt(68) + 2)) + -5.\nAnswer: -7 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 3*r**3 - r**2 - 3*r + 1. Let u = 39 - 37. What is g(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 146361653?\nAnswer: 17, 877, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1912203187\/4 or 478050797?\nAnswer: 478050797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 216622 - 0.43.\nAnswer: 216621.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 357788350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 + -16. Suppose -s*t + t = 16, 3*n = -3*t + 42. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*y + 4*z + 4, 9*y - z + 11 = 14*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of 0*m + 3\/2*m**2 + 4. Let b(n) be the third derivative of -n**4\/24 - n**2. Determine d(b(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -2*p**4\/3 + 12368*p**3\/9 + 689458*p**2\/9 + 1078836*p + 685584 = 0.\nAnswer: -27, -2\/3, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is 7661000 rounded to the nearest one hundred thousand?\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -107, 3, 2, -3, -454, -5 in decreasing order.\nAnswer: 3, 2, -3, -5, -107, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3020486 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -10*s**2 + 2*s - 2. Let n(j) = -20*j**2 + 5*j - 5. Determine -5*a(d) + 2*n(d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3.02 (b) -0.085 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of -2*x**2 + 41. Let z(i) = 4*i. Determine z(f(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 43, -153, -5 in increasing order.\nAnswer: -153, -5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1\/4 - (813\/(-12) + -2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 132 and 1699071.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(480) - sqrt(480)*2*5 - sqrt(480) - sqrt(480))\/sqrt(12))\/((sqrt(4000) - -1*sqrt(4000) - sqrt(4000))\/sqrt(5)).\nAnswer: -11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 24658 by 605.\nAnswer: 24658\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = 13 - 65. Suppose j + 3 = 0, -o + 4*j + y = 3*o. Suppose -558 = -o*u + u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, 0, -2051, 5, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 5) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/((-15)\/35) + (-3 - -1). What is the greatest common factor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 249*q + 8568 = 1399*q - 13784 - 7548 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1081849\/(-2144))\/(-241)*32.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 126, 95, 58, 27, 14, 31, 90?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 125808917 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15\/1076 - 3598\/2421. Let n = 1\/36 - v. Which is smaller: n or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.13 in 1, -36.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 1.02, -82707\/7, -1 in increasing order.\nAnswer: -82707\/7, -1, 1.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 743*t**2 - 927*t**2 - 925*t**2 + 1111*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(76))\/sqrt(4) - (4 + sqrt(57)\/sqrt(3)).\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {b: 1, o: 1, r: 7, q: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 4*w + 55 = 5, 2*q = w - 35. Let a be (3\/9)\/(5\/q). Let s be 114\/(-589)*a\/3*1. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8642*b**2*i**2 + 3637*b**2*i + 2*b**2 + 501*b*i**2 + 203313*b*i + 2*i wrt b?\nAnswer: -17284*i**2 + 7274*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 173531 + -60790. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 14 + 6. What is the nearest to 0.2 in -3\/4, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k = -0 + 40. Suppose -19*z + 24*z = k. What is the second derivative of 1 - 27*g + z - 2 + 3*g**5 wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u + 26 - 13 - 13.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is (-28)\/(10 - 14) + 232516 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -3, 1, 9, -27, -8.\nAnswer: -27, -8, -3, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*g + 52 = -11720*w + 11721*w + 6, 3*g + 19 = -2*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of -75*u**5\/4 + 236*u**3\/3 - 650*u. What is the second derivative of m(z) wrt z?\nAnswer: -2250*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7727519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -8. Suppose -t*m + m + 15 = 0. Suppose 0 = -5*g + 6 + 4. What is the remainder when m is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 - -5. Let p = 5.05427 + -0.05427. Which is the nearest to -7? (a) p (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -58 + 62. Solve -12*i = -13*i - c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {a: 6, m: 12}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 4*k - 8 - 2, -3 = -k. Solve 4*q + 3*h = -17, -s = -h - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 363050915 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/56 + (-645)\/(-21) + 6*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 2*c - 32 = c, 2*c - 24 = -3*r. Let w = r - 5. Suppose h = 5*h + 3*a - 34, -w*a = 5*h - 41. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1\/4))**14*(l**(-2)\/l*l)\/l*(l\/(l*l**(-3\/5)))\/l assuming l is positive.\nAnswer: l**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18 - (4 + -16 - -5)) + (39 - -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25248.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2\/11025 + 3671\/22050. Factor -1\/2*j**3 - 1\/2*j**2 - 1\/6*j - g*j**4 + 0.\nAnswer: -j*(j + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 58 + -53. Let g = 0.08 + 0.32. Which is the second smallest value? (a) -0.19 (b) z (c) g (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5230.13 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 21490635 + 2330422 = 3*s, -19160233 = -5*o - 2*s. Let x = 5732045 - o. What is x rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 546250, 546115, 545980, 545845, 545710?\n\"Answer: -135*l + 546385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (36\/(-105)*145\/(-87))\/((-2)\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 113233 + 1?\nAnswer: 113300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s + 110 + 26. Is -2.5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -6*m + y + 10, -10 = -2*m - 4*y. Solve -7 = m*w + 4*s, 0 = -5*w - 2*s - s - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/((-7)\/6 + (-16)\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from {r: 1, z: 1, p: 3, v: 4, s: 4, b: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 115\/2 - 59. Let y = -0.042 - -0.042. Sort y, 1\/3, b in ascending order.\nAnswer: b, y, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 262186571717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find x such that x**5\/2 + 5*x**4\/8 - 7*x**3\/8 - x**2\/4 = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-5 - -3 - 6) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1\/2, 4\/9, -578.6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence klkx when four letters picked without replacement from {l: 8, k: 4, x: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 34443331 (base 5) to base 3.\nAnswer: 120212110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 42*b*p**5 - 96*b*p**3 + b*p + 2*b + 3*p + 10 wrt p?\nAnswer: 840*b*p**3 - 576*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of 3 - 1\/18*s**4 + 4\/27*s**3 - 1\/9*s**2 + 0*s. What is y in v(y) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 575, 1138, 1691, 2234, 2767, 3290, 3803?\n\"Answer: -5*m**2 + 578*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12\/7*(-315)\/(-18). Suppose -2*v + 0*v + 2*m + 20 = 0, -3*v + 4*m = -g. What is the smallest common multiple of v and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7*a*t**3 - 3*a*t*x + 5*a*t + 88*a*x - 16*t**3*x + 3450*t*x wrt a.\nAnswer: 7*t**3 - 3*t*x + 5*t + 88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j + 2*j + 7*j)*(-1 + 0 - 2)*(-4*j**2 - 2 + j**2 + 4*j**2).\nAnswer: -33*j**3 + 66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 44 - 529 = 0. Let l = y - 78. Calculate the remainder when 49 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 179991 (base 13) to base 5.\nAnswer: 122431012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h*h*h\/(h\/h**(-2\/5))*h))\/h*h*h\/(h*h*h*h**(3\/5))*h*h)**(-12\/17) assuming h is positive.\nAnswer: h**(192\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(243)*1)**2 + sqrt(243) + (-4 + sqrt(243)*2)**2 + 3 - ((sqrt(243) + sqrt(243) + -2 + 3)**2 + ((-3 + sqrt(243))**2 + sqrt(243))*-5).\nAnswer: -396*sqrt(3) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000256122054 rounded to 7 decimal places?\nAnswer: -0.0002561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of 8*i**5\/5 + i**4 - i**3\/3 + i**2\/2 + 19*i + 1412. What is the third derivative of y(v) wrt v?\nAnswer: 192*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -196 - -196. What is the closest to 1 in -12, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-3)\/(-9))\/(2\/12). Let t be (7\/3)\/(1\/3). Let k = 13 - t. Solve 0*x = -j*x - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 30 = -3*k, -k + 3*i + 18 = -0*k. Suppose 63 = k*l + l. Is l bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-87)\/(-15) + -4)*(-4 + 15 + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmmommmfmffo. Give prob of sequence fmoo.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-22)\/(3*2\/(-3)). Let d = q - 7. Find k such that 3*k**5 + 4*k**4 + 12*k - 9*k - d*k**3 - 6*k**2 - 2*k + 2 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 64 - 50. Let q be 50\/350*r\/8. What is the nearest to q in 3\/7, -2\/3, 3, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -165 - -263. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8 + -16 - (4 - (-25)\/(-2)). Let w(o) be the first derivative of 3*o + x*o**3 + 9\/4*o**2 - 9. Determine t so that w(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 739765112.\nAnswer: 2, 4967, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120 = 5*l + l. Sort 3, l, 0.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.222 - -0.222. Let l = -21.1 - -18. Let h = 3 + l. What is the biggest value in v, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -954 divided by 151\nAnswer: -954\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k + 17. Let l(u) = 7*u - 44. Let s be l(5). Determine d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 18 - 2. Suppose 0 - 32 = 2*x. Let p = 21 + x. Solve -o + 4*a + z = 0, a = -p*o + 4*a - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 63937\/72 - 888. Let a(i) be the third derivative of -2*i**2 - w*i**4 + 0 - 1\/60*i**6 + 0*i - 1\/1008*i**8 - 2\/315*i**7 - 1\/45*i**5 + 0*i**3. Factor a(u).\nAnswer: -u*(u + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, j: 1, q: 1, n: 1, e: 1}. What is prob of sequence tj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 37*j - 53165 = 0. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of -u**5\/60 - 7*u**4\/12 - 6*u**3 - 1005*u**2. Give w(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from mjjjnjjmnkjnjn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -67 + 26*o + 50*o + 34*o - 43 + 2 as h + x*o and give h.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6887.\nAnswer: 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 7*z**3 - 5*z**2 + z - 6. Let w be f(4). Let j = 447 + w. What are the prime factors of j?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42 - 4*m + 3*m - 7 + 10.\nAnswer: -m - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 1. Let c be (2 - (0 - -1))*56. Suppose z = 3*k - c - 34. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 52\/208 + (-14)\/(-40). Sort 5, -16, -3, d in ascending order.\nAnswer: -16, -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.88 + 1.88. Is w > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*f + 46*f = 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*d**3 - 4*d**3 + 452782 - 453020.\nAnswer: -2*d**3 - 238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -3*d + 419, -4*f = 3*d - 273 + 734. Put 0, -5, f in decreasing order.\nAnswer: 0, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 201 + 1001?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -79617*n + 79818*n - 8643 = 0 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fhxk when four letters picked without replacement from hhkkokxfkxoxkkx?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z - 1. Let c be j(5). Suppose -c*g + 6219817 = 31019817. Round g to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 - r**2 + r + 1. Let d(h) = 3*h**3 - 5*h**2 + h. Let z(t) = t**3 - t. Let b(k) = d(k) - 2*z(k). What is b(m) - 3*l(m)?\nAnswer: -2*m**3 - 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -9273212374.8 minus 4?\nAnswer: -9273212378.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 42186 = -5894*g + 490130 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(77)*-1 - (sqrt(77) - (sqrt(77)*-2*5 - sqrt(77) - sqrt(77))))\/(-5*sqrt(7)*1 - sqrt(7) - 5*(sqrt(28)\/sqrt(4) - sqrt(7)))*5.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of -v**4\/12 - v**3\/6 + 9*v**2 - 25*v. Calculate k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 311648715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -34ab + -7?\nAnswer: -34b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -3*x. Let d(p) = -2614*p**2. What is j(d(y))?\nAnswer: 7842*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 394 divide 79173878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -3*g**2 + 35*g - 114. Determine a(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j + 5 = -v, -5*j + v + 25 = -4*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5 + 8)\/3 + 17. Suppose -85*v + 88*v - x = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*f - 3*f + 2*f**2 + (-5*f + 2*f + 4*f)*(-f - f + 3*f) - 3 + 3 - 2*f**2 + (-3*f - f + 2*f)*(2*f + 3*f - 7*f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 4*q. Let t(l) = -l - 1. Let d(w) = w**2 - 1 - 2 - 2*w**2 + w - 4*w. Let h(x) = -2*d(x) + 6*t(x). Determine m(h(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 5976.193 to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -44661 - -44760. Let f(g) = 16*g + 1. What is the remainder when w is divided by f(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 3:55 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r + 25*r**2 - r - 7*r + 21 - 1653*r**3 + 817*r**3 + 832*r**3. What is s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 101136 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from jnnnhsghghngnhh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20017 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from {p: 7, q: 6}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -4*t + 6. Let i(h) = h + 4. Let z(k) = -2*k - 5. Let r(u) = -3*i(u) - 2*z(u). Let w be -2*(-3 + 8\/2). Give w*q(v) - 7*r(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 70 and 85?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of y**3\/2 + 22*y - 1. What is q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**2 + 20*h + 14. Give s(-22).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18220 and 19050.\nAnswer: 34709100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - -1 - -2 - -4 - (58 + -39)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 96*c**3*o**4 + 2*c**3*o**2 + 17*c**2*o - 142*c*o**4 - 612*c*o**2 - 1 wrt o?\nAnswer: 2304*c**3*o - 3408*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + -3. Let o = -1 - z. Factor 0*k**2 + k**2 - o*k - 4*k**2 - k.\nAnswer: -3*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-378)\/(-81)*6\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 + 11*v**2 + 0*v**2)*(0 - 13 + 0)*(6*v**3 + 7*v**3 - 4*v**3).\nAnswer: -1053*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6542, 6536, 6526, 6512, 6494, 6472?\n\"Answer: -2*p**2 + 6544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1512*t**4 - 696*t?\nAnswer: 18144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 - -22434?\nAnswer: 22430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in sixty-one halves of a day?\nAnswer: 732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41213 + -26698. What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -70*d**2 - d + 18. Let r(z) = z**2 - 3. Determine -6*r(m) - t(m).\nAnswer: 64*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (238 - 233) + (-2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12, -5, 6, 21?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1594441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -56, 19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve z + 155220 = 155235, 2*z = -5*v + 40 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 550*l. Let g(s) = 691*s. Give c(g(t)).\nAnswer: 380050*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -a**3 - 2577*a**4 - 2526*a**4 - a**2 + 5251*a**4 - a + (0 - 2*a + 0)*(a**2 - a**3 - a**2) in the form t*a**3 + z*a**2 + p*a**4 + g*a + l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 10 != -738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 + 77\/(-1)*4\/4. Let z = 40 - a. What is the common denominator of 29\/33 and 30\/(-225) - z\/35?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/3 - ((-17)\/3 + 1). Suppose -m*q + q = -6*q. Solve -o + 2*o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -12966 + 5?\nAnswer: -12961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 8 = -6*w - y, 13 = 2*w - 5*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -38\/3625659 and -7\/135.\nAnswer: 54384885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -84 - -3359\/40. Let n = l + 3\/20. Let j = 17\/7 + -71\/35. Which is the second biggest value? (a) n (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 94551?\nAnswer: 3, 31517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*i = -23*i - 30. Let n be (8\/(-6))\/(8\/(-12)). Solve 3*c + a + n*a = 15, -i*a + 23 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12, -68, -160, -288?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 220262433?\nAnswer: 3, 67, 1095833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f + a - 14 = 0, -4*f - 65*a + 54*a + 26*a = -70 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 7:22 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g - 27. Calculate b(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 941, 4203, 9635, 17237, 27009?\nAnswer: 38951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -1203680 + 1203678 - 2*w + 18*w**2 + 4*w**2 - 4*w**3 as h*w**2 + v*w + g*w**3 + q and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**3 + j**2 - 1. Let p = 19 - 22. Let q be f(p). Let a = q + -35. Solve a = -0*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 34, 57, 76, 91?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 23792097 from 0.3.\nAnswer: -23792096.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 6345.041 days?\nAnswer: 152280.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-3)\/(-9))\/(2\/(-4)))\/(212\/2544).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0010248384 to 6 dps.\nAnswer: -0.001025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -3*f + 23. Suppose 0 = 3*r - 37 - 2. Let u be x(r). Let l = u - -108. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 39\/(-5) + (-96)\/480.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 - 0.0532689.\nAnswer: -1.0532689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x = -14*x + 742. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:13 PM and 8:47 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/44)\/(2\/3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of 0*f**2 - 5\/4*f**4 + 0*f**3 - 28*f - 10. Let n(d) be the first derivative of p(d). Let h(c) = -2*c**2. What is h(n(a))?\nAnswer: -450*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11101110 - -1010000100000011?\nAnswer: 1010000000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*k + 770 = -17*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:14 PM and 8:41 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/6 + (-3075)\/(-9). Suppose 0 = 6*w + 3*w - p. Calculate the remainder when (-2 + 115)*(1 + 0) is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1376291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6696037 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7663.318 litres?\nAnswer: 7663318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**4\/4 + 4287*f**3\/2 - 1421097*f**2 - 160559574*f.\nAnswer: -3*f*(f - 1478)**2*(f + 98)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 23.1653682 seconds in days?\nAnswer: 0.0002681176875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2153 is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the second derivative of 121*h**3\/6 + 29*h**2 - 16*h - 2. What is the tens digit of m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107304237679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -341*o**3 - 2*o**2 + 8*o + 9. Let i be g(-1). Let j = 2039\/6 - i. What is the closest to j in 4, 0.01, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (1 - 1) - (-5 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-109 - -116 - (-11 + 2)) + -23 + 48\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3631 + -98051\/27. Suppose -9*r + 10*r + 3*q + 26 = 0, -q - 4 = 0. What is the common denominator of m and r\/(-48)*((23 - 10) + -11)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -1294*i. Let c(r) = 4787*r. What is a(c(j))?\nAnswer: -6194378*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 747*q**2 + 11*q - 13. What is the thousands digit of w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30489 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 335180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 7\/16 of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -99573.605 times 0.5?\nAnswer: -49786.8025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 51*t**2 + 465*t - 2835. Calculate g(6).\nAnswer: 1791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/(-1 - 0 - 0). Suppose -8 = 4*s - y*s. Is (-839)\/(-2)*s\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 2*o - 96. List the prime factors of o - (3\/3)\/1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 540.333 + -567.31. Let v = 0.023 - s. Let n = v + -26.56. Round n to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2294, 18630, 63040, 149582, 292314?\nAnswer: 505294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 596998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14 - 10. Let q = -0.236 + -0.064. Which is the second biggest value? (a) -3 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 PM and 8:58 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 199 - -5001?\nAnswer: 519a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 9165, 3, -1, 1 in decreasing order.\nAnswer: 9165, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(160) + (sqrt(160) - sqrt(160)*-1))\/sqrt(4))\/sqrt(8))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 93970 times 271\nAnswer: 25465870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express r**3 + 2 + 0*r**4 - r**4 + 0*r**3 - 3 - r as y*r + c + n*r**3 + a*r**2 + f*r**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b - 4*m - 15, -2*b + 20 = -5*m - 2. Which is smaller: b or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 5, 28, -0.5, -2\/20473?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 354*m + 1006. Determine h(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 127, 508, 1143, 2032?\n\"Answer: 127*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be -8*(25\/(-5))\/40. What is the common denominator of 19\/472 and z\/2 - (-1020)\/80?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 1516 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (136*20\/(-160))\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 440 and 7738984?\nAnswer: 38694920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 24 + (44 - (5 + 56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 126*t**3*u**4 - 536*t**3 + 19428*t*u**2 - 50*t*u + u wrt u.\nAnswer: 1512*t**3*u**2 + 38856*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ubuubpyybbyupp. Give prob of sequence ypu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -69989, -70001, -70029, -70073, -70133?\n\"Answer: -8*b**2 + 12*b - 69993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 1185738809709 - -1.\nAnswer: 1185738809710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -9*a. Let t be o(-1). Let c be (12\/t - 1)*195. Suppose -2*z + c = r, -2*z = 2*r + 3*r - 53. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (6 - 8)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 68 divided by -9\nAnswer: -68\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {b: 2, w: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21944.\nAnswer: 2, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 212508 from 56.1221.\nAnswer: -212451.8779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -270, -1099, -2512, -4533, -7186, -10495?\n\"Answer: -4*j**3 - 268*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-696)\/3)\/(((-775)\/50)\/31). Solve 0 = 11*v + c - 453 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 42333 or 36718?\nAnswer: 36718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15 + 0\/(-10))*1\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 - 12*o**2 - 32*o - 37. Let f be j(-14). What is the greatest common factor of f and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -574493906513\/2334 - -246141360. Let g be (25 - -2)\/((-1167)\/2). Let z = g + r. What is the common denominator of -113\/20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52586701 to the power of 1\/2, to the nearest integer?\nAnswer: 7252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6.296 minus -97440098?\nAnswer: 97440091.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1443203 is divided by 75869?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -14 - (0 - (-6 + -3 - -11))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*b**2 + b**3 + 2*b**2 + (-b**2 - 4*b**2 + 4*b**2)*(4*b + 4*b - 4*b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be 571034\/(-72) + -1 + 10\/30. Let u = l - -7933. What is the common denominator of u and 139\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -23407 divided by 70\nAnswer: -23407\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.08 + -1. Let q = -0.32 + v. Let j = 0.06 - q. Sort 0, 3, j in increasing order.\nAnswer: 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 403*r**3 + 179*r**2 wrt r?\nAnswer: 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 2220114012 to the nearest one hundred thousand.\nAnswer: 2220100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 27 - -914. List the prime factors of u.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 - 17*a - 39. Calculate z(18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44)\/(sqrt(8)\/sqrt(2)) - (sqrt(11) - (sqrt(891) + 1)))**2.\nAnswer: 18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:11 AM and 8:03 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.7 - 2. Let d = 0.35 + 0.65. Which is the closest to -2\/3? (a) -0.4 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.2 + 0.8. Let t = -945 + 945.4. Put k, t, -0.4 in ascending order.\nAnswer: -0.4, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -5702, -1096 in descending order.\nAnswer: 2, -1096, -5702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence luc when three letters picked without replacement from cuuuucclu?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3.1, 2, -1\/69, 5\/17, 2\/9, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 15*y**2 + 2*y + 1. Let x = 0 + -1. Calculate the remainder when (-1)\/((-1)\/123*3) is divided by g(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2872844.\nAnswer: 2, 13, 101, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -2*c - 1. Let l be (12\/(-10))\/((-6)\/20). Let z = -33 + 48. Suppose -l*b = b - z. Determine m(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o\/(o*o*o*o*o**(-1\/2)*o))))**(-19\/4)*o**7*o\/(o*(o*(o*o**(-8)\/o)\/o*o)\/o*o) assuming o is positive.\nAnswer: o**(245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -850302, -849810, -849318?\n\"Answer: 492*z - 850794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 121376 = -4*t + 30676, -m = -4*t - 38033. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 - -6. Suppose 0 = f - y*f - 7. Let o(w) = -112856*w + 8. Let p be o(f). What is p rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 AM and 2:50 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 1:26 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 3 + 6*p - p**3 + 2 - 1 - 5*p**2. Suppose -4*m + 4*t = 0, -4*t + 1 - 6 = -3*m + 1. Give l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 40\/90 + (-299)\/(-117) - (4 + 15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7*17\/((-1428)\/(-144)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 179636746?\nAnswer: 2, 1511, 59443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 46 + 8)*(x**4 + x**4 - 3*x**4 + (2*x**3 - x**3 - 2*x**3)*(-5*x + x - 4*x)).\nAnswer: -231*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 420839 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (j - 3*j + 0*j)*(3 - 6 + 1).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -4\/3 (c) -5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 + 11 = f. Let n(m) = -m**3 - 6*m**2 + 3*m + 11. Let h be n(f). Let t(q) = 9*q**2 - 8*q - 6. Is t(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-4 - -6) - (4 + -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/((-8)\/(-17)))\/(180\/(-22320)*-31).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0155498 to five decimal places.\nAnswer: -0.01555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 36*k + 954. Calculate the remainder when 5829 is divided by q(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 246466 by 34.\nAnswer: 7249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 837671437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 450802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - u = -3*f - 9, -2*u + 4 = -f. Let z be ((-3)\/(f + 5))\/((-2)\/36). Calculate the highest common factor of z and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-4)*(-121)\/(1339470\/328)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84524701?\nAnswer: 23, 211, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 7991864, 15983685, 23975518, 31967369, 39959244?\n\"Answer: h**3 + 7991814*h + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 183373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/88 and 5\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 - 7*y**2 - 5. Let i be j(7). Which is the second biggest value? (a) 0 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 76126 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = n + 1. Suppose 28 = 4*s - 2*q, -2*q - 12 = -s + n. Suppose 2*h - 8 - 2 = 0, 4*v = s*h - 5. Solve -v*g - 5 + 0 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46034522 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -121\/323610 and 139\/225120.\nAnswer: 5177760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61*j**3 + 0 + 3 + 11*j - 11*j.\nAnswer: 61*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*n + 15 - 1. Suppose -n*c - 6 = -8*c. Does 28 divide (2 - c - -23)\/((-5)\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 197396 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**3 - 97*s**2 - 365*s + 699. What is g(-93)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - 0 - (-30 + 25) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 552553.08 less than 544634?\nAnswer: -7919.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (1320\/(-1144))\/(5\/(-130)*2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, p: 1}. Give prob of sequence ooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**3 - 11*m**2 - 11*m - 9. Let q be j(-10). What is the units digit of 17 - (-1)\/((-1)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 9.624864 hours?\nAnswer: 0.401036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -65 and 36994.\nAnswer: 36929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vpvvvvpvvvpv. Give prob of sequence ppv.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 594488.5mm to meters.\nAnswer: 594.4885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - -4)*((-81)\/12)\/(-9). Put 5, -4, 22, j in descending order.\nAnswer: 22, 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 69187, 276757, 622707, 1107037, 1729747?\nAnswer: 2490837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 84 - 16. Let x = 11 + -2. Let z = x + 0. What is the remainder when a is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 13 and 4489465 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.4 * -319135026\nAnswer: 127654010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 0*p = 0. Suppose p = -2*o + 7*o + 25. Let s(y) = y**3 + 4*y**2 - 7*y - 3. Let g be s(o). Solve -c + 3 = g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.13 (b) -29 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1.7 (b) -1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23823?\nAnswer: 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.646 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1022200212100 (base 3) to base 10.\nAnswer: 702657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s + 1. Let x(h) = 5*h - 37. Determine -3*p(b) - x(b).\nAnswer: -2*b + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of -2*t**3\/3 - 5*t**2\/2 - t + 2. Let y(o) = 3*o**2 + 6*o + 2. Let w(z) = 4*u(z) + 3*y(z). List the prime factors of w(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 3:28 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -a + 19, 2 + 98 = 4*a + 4*v. Suppose o = d + 11, -26 = -3*o - 5*d + a. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.714 - -2.286. Let r(c) = 4*c - 20. Let u be r(6). Suppose 0*g - 27 = 4*f - 5*g, u*f + 2*g = -6. Put a, 2\/3, f in descending order.\nAnswer: a, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.17 - 454.17. Let s = 670 + m. What is the smallest value in s, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 775163\/36 + -21530. What is the common denominator of i and 5\/288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(24\/(-1)))\/(37245\/(-12415)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 11\/201, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -4, 134, -5 in ascending order.\nAnswer: -10, -5, -4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 - 6*z**2 - 11*z - 8. Let u be w(-3). Let a be (-6)\/u - 33\/(-20 - -9). Solve 10*s - a*s = -20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 and 771228.\nAnswer: 3856140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 404 - 73*z**2 + 268*z**2 + 234 - 813 with respect to z.\nAnswer: 390*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ququfqff. What is prob of picking 2 q and 1 u?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are 524 and -1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 63687703 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**3 - 3*h**2 + 2. Let b be z(-1). Put -13, -4, b, 5 in ascending order.\nAnswer: -13, -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -23 + 12*q**2 - 20 - 21 + 62. Let o(g) = -2*g**2. Give j(o(x)).\nAnswer: 48*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -948*l + 201*l - 3 - 270*l - 550*l.\nAnswer: -1567*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fmczzzfkhmhh. Give prob of picking 1 h, 1 z, and 1 k.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19 - 129 - 102 - 3 + 0 + 1 + (4 - 3 - 2)*(-4 + 1 + 5))*(1 + 3*m - 1) to y + n*m and give n.\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -625*k + 595*k + 58 = -62. Solve -2*d = -0*d - 4, -4*r = -k*d - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of 31*a**3\/6 - 5*a**2 + 7*a. Let t(j) = -6*j + 2. Let y(x) = -4*f(x) - 22*t(x). Is 13 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1aa1 (base 12) to base 7\nAnswer: -12406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*j**4 - j**4 - 3*j**4 + (2 - 2*j**2 - 2)*(-3*j**2 + j**2 + j**2) + 9*j**4 - 35*j**3 + 35*j**3 - j**4 + 0*j**4 + 2*j**4.\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1022200220022 (base 3) to base 7\nAnswer: 5654432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w - a + 8, 6*a - 2*a = 2*w - 10. Find the second derivative of 3*r**w + r**3 + 3*r + 8*r**3 - 3*r**3 wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 242.018 - 242. Let j = 67 - 67.482. Let w = j - s. Sort 1\/2, -1, w, 4 in increasing order.\nAnswer: -1, w, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5 - 14381.\nAnswer: -14380.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2227933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5.069 + -0.069. Let k = 1.4 + -3.4. Put 0, u, k in descending order.\nAnswer: u, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 21363 + -11924. What are the prime factors of j?\nAnswer: 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25*i + 3*i**3 + 4*i**3 - 9*i - 5*i to the form n*i**3 + b + h*i + x*i**2 and give h.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 28, 38, 48, 58?\n\"Answer: 10*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0123195 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-18)\/3 - (-12 - -8). Let z be 8\/14 - 576\/(-21). Let j be (-69)\/z + (-6)\/(-8). Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -5201*m + 1185819. Give c(228).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 26, -509, 0.1, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*q + 3*g = 27*q + 35, 5*q - 25 = -g. Suppose 212 = -3*y + 5*y - 2*p, 5*y + q*p = 557. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - -22. Let s(y) = -2 - 22*y**2 - y - j*y**2 + 44*y**2. What is s(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 18 = -3*l, o = 3*o + 3*l - 8. Let g = -26 - -21. Let u be (-10)\/g + (-96)\/51. Which is greater: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -11*l - 11*l + 17*l + 5. Let n(i) = -14*i + 14. Let u = -27 + 10. Give u*g(v) + 6*n(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1292587?\nAnswer: 1292587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 19717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of 9*o - 3\/16*o**4 + 1\/40*o**6 + 1\/4*o**3 + 0*o**5 + 0*o**2 + 0. Find f, given that d(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-228 - 170 + 270)*(o + 1 - 1) in the form q + n*o and give n.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 187988164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 6*z**3 - z**2 - z + 1. Let s be n(1). Suppose 43 + 32 = s*p. Suppose -k - 2*k - p = 0. Which is bigger: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 3*n**2 + 49*n + 47. Let b be j(-20). Suppose -30*q - 27 = -b. What is the smallest common multiple of q and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:58 AM and 6:45 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11203399, -22406796, -33610193?\nAnswer: -44813590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -955000, -1910001, -2865002, -3820003, -4775004?\n\"Answer: -955001*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**4\/j)\/j**(-2\/27))**34*(j**0*j**(-1))**(34\/3) assuming j is positive.\nAnswer: j**(2516\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21\/((-10)\/630*-9*147\/(-9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -112850*a - 45274*a + 47156*a - 82535*a.\nAnswer: -193503*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 - 5264\/(-154)) + 28\/(-154).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 2*w + 498, 3*v - 5*w + 126 = 482. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -2*i + 15, -2*i + 14 = -2*d + 6. Let m = -181 - -275. Suppose 0 = 5*p - m - d. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 219930 and 2727132?\nAnswer: 13635660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q. Suppose -20*a = -24*a + 10268. Let d(s) = 2567 - 54*s - a. Calculate d(b(c)).\nAnswer: -54*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(1\/4))**(1\/25)*(w**(-2))**16 assuming w is positive.\nAnswer: w**(-3197\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 - 0)*2\/2. Let k = -1.1 - -1. Let l = -289490 - -289491. What is the closest to k in l, g, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 29 and 32645.\nAnswer: 946705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (134\/(-28))\/(74\/1036).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -26 and 4772883?\nAnswer: -124094958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6103*z**4 - 261 wrt z.\nAnswer: 24412*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15 - 2. Let k = -313 + 328.9. Let o = q + k. What is o rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z**4\/15 + 7912*z**3\/15 + 1582*z**2\/3 = 0. Calculate z.\nAnswer: -3955, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1282 - -1282.006895. What is y rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**2 + 5*z + 3. Let a = 9 + -6. Suppose 0 = 5*t - a*s + 37, 3*t + 0*s - 5 = -5*s. Let j be d(t). Solve 4*q + 3*o - 8 = 0, o - j*o = 5*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -2*c + 24. Let n = 3 + c. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u**2 - 2*u**2 - 2*u**2)*(13*u**2 - 13 + 13 + (0 + 0 - 2*u)*(2*u + 5*u - 5*u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*-2*18\/54*132. Let w = 94 + v. Solve 3*h + 15 = 5*b, -3*b + 19 = -5*h - w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 711676330 from -5.\nAnswer: -711676335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 22 and 43?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(2\/71))**(-1\/22) assuming r is positive.\nAnswer: r**(-1\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o**2 + 0*o**2 + 6*o**2)*(-1 + 2 - 2) + 0*o**2 - o**2 + 0*o**2 - 17*o - 11*o**2 + 17*o - 129*o**2 + 378*o**2 + 88*o**2.\nAnswer: 323*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 170416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100011100 - 11110?\nAnswer: -100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-3)*264\/(-4). Suppose 4*k - 14 - v = 0. Calculate the greatest common factor of k and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 126 and 648.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*r + 7*r - 2*r)*(-2558 + 1260 + 1269) as c*r + u and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17 - -1. Let i be s\/36 + (-1)\/(-6). Which is the third biggest value? (a) -5 (b) 0.6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1\/6, -4, -1, -8\/15, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54*k - 26*k - 18*k**2 - 29*k.\nAnswer: -18*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**15\/((t**(-13)\/t)\/t) assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - f + 63. Suppose 0 = 15*s - f*s + 3444. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 60 = -5*y, 5*y = -3*b + 2502 - 2562 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + -9ca0?\nAnswer: -9ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/5 and 24\/133519.\nAnswer: 667595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -1048*u - 3 + 1013*u + 1309*u + 924*u in the form t*u + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(27) + -4)*-3 + (sqrt(6)\/(sqrt(8)\/sqrt(4)) - sqrt(36)\/sqrt(192))).\nAnswer: -33*sqrt(3)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 42 = 5*c - c, -c = u - 6. Let o be 1\/c - (-2877)\/24. Calculate the greatest common divisor of 48 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -141, -252, -327, -360, -345?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -90*p. Let b(o) = 17*o. Calculate b(d(h)).\nAnswer: -1530*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2467239, 9868943, 22205117, 39475761?\nAnswer: 61680875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26120 - -26119.7. Let t be (-4)\/10 - 6\/(-10). Sort -3, a, -1\/4, t.\nAnswer: -3, a, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*1*45\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -77053, -77164, -77275, -77386?\n\"Answer: -111*h - 76942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9182626 is divided by 106.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -6, -1\/7, 2, 11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -z**2 - 169982075*z = 0. What is z?\nAnswer: -169982075, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -47 - -47. Suppose x*t + 0*t = -3*t. Suppose 0 = -t*z + 3*z + 9, 399 = 4*n - z. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 5*j - 14. What is the smallest common multiple of x(3) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -16 - -19. Let m(a) be the third derivative of 1\/24*a**4 + 1\/6*a**z - 1\/60*a**5 + 0*a + 0 + 2*a**2. What is m(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 223 - 205. Calculate the remainder when 31 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 118954325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of -g**4\/4 - 3*g**2 + 7*g - 6. Let m be x(-5). Suppose 0 = -3*b - 24 + m. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 16) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 320 a factor of 714338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 = -16*f + 38 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 60771 + 19525*u + 60765 - 121536 to t*u + q and give t.\nAnswer: 19525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 67904 and 42440?\nAnswer: 339520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 4659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27852\/(-18990)*15*-1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 9407 (base 10) to base 4\nAnswer: 2102333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:28 PM and 11:45 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5)\/(-2))\/(2\/4). Let s(v) = -3*v**3 - v**2 - v - 1. Let y be s(-1). Let k be (-2)\/(y\/(-7)) + -3. Solve -z*h + k = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(1\/3))**17\/((k\/(k**(-2\/5)*k)*k)\/k**(-1\/5)))**11)**(-27) assuming k is positive.\nAnswer: k**(-31284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 4*n = -0*n + 32, 4*y - 50 = 2*n. What is the remainder when 41 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 + 3*c - 17. Let d be u(-5). Let t(g) be the third derivative of g**4\/24 + 5*g**3\/3 + g**2. What is the units digit of t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c**2 + 0*c + 0*c - c**3)*(4 - 4*c - 4*c - 36*c).\nAnswer: 44*c**4 - 92*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**3 + 65*m**2 + 70*m.\nAnswer: -5*m*(m - 14)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -55 + 88*c**3 - 226*c**3 + 87*c**3 + 2*c + 81*c**3 - 6*c**2 - 65 wrt c.\nAnswer: 180*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 86 - 77. Suppose r*x = 14*x - 935. Let c = x - 6543\/35. Is c at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 3, -337, 26552.\nAnswer: -337, 2, 3, 26552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4044\/27 + (-72)\/90*10\/(-36). Suppose -r + 120 = 3*r. Calculate the greatest common factor of r and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 5835310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 569843774 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -126 divided by 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 905*t - 12871. What are the prime factors of d(82)?\nAnswer: 61339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 105 and 188134555.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 113350792 to the power of 1\/2, to the nearest integer?\nAnswer: 10647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + q**4 + 1)*(2*q + 3 - 3) - 3*q**5 + 7*q**5 - 3*q**5 - q**5 + 2*q**2 - 2*q**2 + 22*q**3 + 831*q**5 - 2705*q**5 - 20*q**3.\nAnswer: -1872*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 28488*s**2*z**2 - 13*s**2 - 118078*s*z**2 + 2*s - z**2 wrt s.\nAnswer: 56976*z**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*f**4\/7 + 667336*f**3\/7 - 266936*f**2\/7.\nAnswer: 2*f**2*(f + 66734)*(5*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 11) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 26 + -43 - (-10 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -19*s**2 - 19*s + 3. Let g(k) = k**2 - k + 1. Let t(u) = f(u) - 3*g(u). What is the second derivative of t(h) wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/c**(-3\/14)*c**(1\/3)*(c**(-3\/8)\/c)**9 assuming c is positive.\nAnswer: c**(-1819\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by (5\/15)\/((-2)\/(-84))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes before 11:16 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4547 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 5*l + 1 + 12, 32 = -3*c - 5*l. Let t be 2 - 6\/c*3. Suppose 3*g = -t*y + 220, -g + 56 = 2*y - y. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 247*l**2 + 4960*l**3 + 197*l**2 - 444*l**2 - l + l + 2*l**3 + (-2*l**3 + 0*l + 0*l)*(-3 + 0 + 2) as r + o*l**3 + u*l + k*l**2 and give o.\nAnswer: 4964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/7844430 and -83\/9075?\nAnswer: 39222150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o - 7. Let j be z(-8). Let l(s) = 2*s**3 + s**2 - 2*s + 1. Let i be l(j). What is the remainder when 15 is divided by 16\/i*(-9)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 + l**2 + l - 2. Suppose 24 = -5*w + 2*w. Let u(c) = c**3 + 9*c**2 + 7*c - 6. Let j be u(w). What is g(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.3 - 0.5. Let h = -0.5 + 4.1. Let k = 1.4 + h. Which is the closest to -0.1? (a) 0.4 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93513785 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -80 (b) 0 (c) 5 (d) -96 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (4 - 1) + (39 - 37).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 2 = s. Is 2 + 1 + s + 254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2389 is divided by 586.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2599262133 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 248\/36*60327 + (5 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes before 11:39 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34 or -2.33?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -37.731 - 0.169. Let s = m + 37. Let p = -1 - -1. Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (66\/(-64))\/(1\/(-12)) and -71\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1422160 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 - g + 1. Let n(v) = -5*v**2 - 12*v + 2. Let z(b) = 6*k(b) - n(b). Let o = 16 - 10. Give z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7 - 25 + 24 - 2*l to y + w*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 189369671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/((-6)\/1494*-2). Let j = 379 - z. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -231 - -230. Which is the nearest to l? (a) 0 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(800) + sqrt(800) + 2 - sqrt(50)*-1*-2.\nAnswer: 2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 4, -2\/3, 11563, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence of when two letters picked without replacement from foo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -516.\nAnswer: 103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*k - 3*u + 2, 7*k - 4*k + 4*u = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 4, 0 = 3*o - 2*m - 4 - 4. Suppose 5*p + 0 = o*i + 7, -4*i = -2*p - 10. Suppose p + 3 = q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 2)*(v**2 + 2 - 2) - 2*v**2 - 4*v**2 + 2*v**2 + v**2 - 4 + 4 + (-v + 2*v + v)*(-2 + 2 - v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 4*z + 2. Let d be q(1). Suppose -a = 1 - d. Put a, -1, 4 in increasing order.\nAnswer: -1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 839 + 2*d - 839.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -3*u**3 + u**2. Let z be t(-1). Let l = 19 - 17. Suppose 0 = -0*q + l*q. Solve q = 5*v + z + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -a - 6. Let v(y) = -5*y - 2. Let g = 14 + -9. Suppose o - g - 3 = 0. Let q(t) = -14*t - 6. Calculate a*q(c) + o*v(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -7 + -15c1?\nAnswer: -15c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pkpw when four letters picked without replacement from {k: 4, p: 3, w: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 2\/21 (c) 390.44 (d) -1 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert d737 (base 14) to base 3.\nAnswer: 1212212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28\/9 - 26\/9*a**2 + 2*a - 2*a**3 - 2\/9*a**4 = 0. Calculate a.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9248*b**3 + 4550021*b**2\/4 + 8952679*b\/4 + 605\/2 = 0. Calculate b.\nAnswer: -121, -2, -5\/36992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 344370.\nAnswer: 2, 3, 5, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1265 (base 8) in base 2?\nAnswer: -1010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*z - 11 + 44 + 31.\nAnswer: -53*z + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 + u)*(0 + 1 + 1) + 26*u - 4*u + 13*u + (-3 + 0 + 1)*(2*u - 2*u + u) + (-4*u + u + 2*u)*(1 + 1 + 0) - 2*u + 0 + 0 in the form m*u + p and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -28 - -16. Let l(k) = -30*k + 10. Let x(v) = 10*v - 3. Let h(a) = 3*l(a) + 10*x(a). Let o(f) = -2*f. What is u*o(z) - 2*h(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 15 = -6*d - 77, 18*d = 16*d + 4*m + 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (132\/(-24))\/((-2)\/4). Let s(l) = -10*l + 20*l - z*l. Let d(b) be the first derivative of 15*b**2 - 2. Calculate d(s(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -134211440 (base 5) to base 14.\nAnswer: -1411da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 216363 (base 9) to base 16.\nAnswer: 1f935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 248*c = 295*c + 376 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the third derivative of s**5\/240 + s**4\/96 - s**3\/12 + s**2. Solve c(m) = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p + 1. Let c(t) be the second derivative of -t**4\/12 - t**3\/6 - t**2\/2 + 3*t - 5. Let d = -3 + 6. Suppose -d*l = -7*l + 12. Give l*c(b) + 3*u(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 38 * -2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 14, -23, -88, -181?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 1 = -2*p, -1 = 2*p - 0*p - t. Let q = -4 + 6. Let l be 46\/(-4)*(q + -4). Solve 5*h + 4*n - 31 = p, 4*h - 5*n = 5*h - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 578059 = 5*h + 2*y, -y - 1952 = 2*h - 233175. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14019 + -13354.3. Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19376\/3633 - 10\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 141323352 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1184 - 632. Suppose -8*v + 4*v = -h. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 43602536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/5336952 and -25\/3216?\nAnswer: 10673904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -101, -104, -107, -110, -113?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -374792\/5 - -74971. Suppose -3\/5*a**2 + 27 - b*a + 3\/5*a**3 = 0. What is a?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 108420594?\nAnswer: 2, 3, 17, 1062947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 1036*r**2 + 237*r + 1134. What are the prime factors of s(-5)?\nAnswer: 25849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/(d*d*d\/((d\/(d*d*(d*d**34*d)\/d))\/d)*d)))\/d*d)\/(d\/(d*d**(-18)*d)) assuming d is positive.\nAnswer: d**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c**2 + c - c)*(78 - 172 - 138)*(-5 + 2 + 2)*(-4*c**2 + c**2 + 4*c**2).\nAnswer: 696*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 3 - 9 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -4*q. Let j(f) = 5*f**2 - 3*f**2 + 2*f**2. Let m = 2245 + -2267. Let r(h) = h**2. Let u(l) = m*r(l) + 6*j(l). What is b(u(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 - 4*z**2 + 2*z - 7. Let r be v(-7). Let y = r + -106. What is the lowest common multiple of y and (-255)\/34*(-16)\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0.08, 22, -1.2, -6 in descending order.\nAnswer: 22, 3, 0.08, -1.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 1. Suppose 46*v + 35*v - 50*v - 341 = 0. Solve -w - 1 = -b, -4*b - w = -y*w + v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:03 PM and 5:37 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:13 AM and 5:55 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 12\/((-132)\/143) + 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*p - 6300 = 122*p for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*w - 57 = 63. Let p(z) = 3*z**3 - 6*z - 1. Let x be p(3). Suppose -1 = j - 2, -3*n + x = -4*j. Calculate the smallest common multiple of n and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of 0 + 2\/3*y**3 - y**2 - 1\/12*y**5 + 1\/8*y**4 + 1\/120*y**6 + 6*y. Let g(l) be the first derivative of v(l). Give g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**2\/(f**(2\/11)\/f))\/((f*f\/(f*f**(-2\/7)))\/f*f**6))\/(f*f*f**(1\/2)*f**(2\/13)*f**(-7)\/(f\/(f*f\/(f\/(f*f*f\/(f*f**6)*f))))) assuming f is positive.\nAnswer: f**(7765\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24 + 24.3. Let r = 0.1 - 0. What is the third biggest value in r, w, 3\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60\/(9\/3)*3820\/(-14325)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*x**4 + x**4 - 2*x**4)*(-1 + 4 - 1)*(-9 + 2 - 1).\nAnswer: 80*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**2 + 8*g - 219. What is j(-17)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 + 2 - -1) + (1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 38 - 36. Let m(u) = 7*u + 1. Let c(v) = 2*v. Let r(t) = 9*c(t) - 2*m(t). What is r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the third derivative of 0*k + 1\/3*k**3 - 1\/12*k**5 - 2*k**2 + 1\/24*k**4 - 1\/120*k**6 + 0. Let o(v) = -v - 3. Let x be o(2). Give i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82.10966 nanometers in centimeters?\nAnswer: 0.000008210966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 26\/9, 0.5, -15?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, -19, -44?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111111110000 - 1?\nAnswer: 111111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k + 1. Let l = 134 + -74. Calculate the remainder when 652\/l - (-8)\/60 is divided by n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**4 - 170*w**3 + 3514*w**2 + 4730*w - 22188.\nAnswer: 2*(w - 43)**2*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7*j**2 + 0*j**5 + 5*j**5 - 12*j**2 wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1151 divided by -520.\nAnswer: -1151\/520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o**(-3)*o)*o*o**(-5))\/(o\/((o*((o*o*o**(-1))\/o)\/o)\/o)*o)**(2\/45)*((o*o*o*o**(-2))\/(((o**(-8\/5)*o*o)\/o)\/o))**(-8\/15) assuming o is positive.\nAnswer: o**(-88\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 3*b**3 + 2*b**2 - 33*b - 1. Is r(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 4 = 5*x, 4*z - 30 = -11*x + 14*x. Which is the second biggest value? (a) 9.4 (b) x (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15 + 35. Let f = 20 - q. Let u = 1.2 - 1. Which is the smallest value? (a) u (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xffx when four letters picked without replacement from {t: 3, f: 4, x: 9}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -13, 6, -3, 0, -5 in increasing order.\nAnswer: -13, -5, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuou. Give prob of picking 2 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 2 + 1. Suppose r*q - 3 - 3 = 0. Suppose -6*d = -q*d - 4. Let w(c) = 10*c**2 + 2*c - 1. Determine w(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 + 2 - -1) + -3. Suppose 3*o - 10 - a = 0. Let z(c) = c - 1. Let i be z(1). Solve i = -4*h - 24 + o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*a**2 + 0 - 2 + 2 - 6.\nAnswer: 53*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 541261012?\nAnswer: 2, 37, 3657169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 2\/9, 11, 11.2 in decreasing order.\nAnswer: 11.2, 11, 2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 3*p = -2*a - 374, 3*p = 4*a + 273. Let v = 60 + -96. Let u = v - -60. Calculate the remainder when p is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2266\/4326*19600\/1848.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 37*r = -39*r - 5, v = 3*r - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-4)\/(-6))\/(4\/(-3)). Let z = 1.8 + -2. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 9:42 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, e: 4, t: 1, y: 9, g: 3}. What is prob of sequence yyg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s**(-4\/11))*(s*s**(-6))\/s)\/((s**25*s)\/s**(4\/3)) assuming s is positive.\nAnswer: s**(-1000\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-70)\/(-15)*7\/((-70)\/(-15)). Let i be -428*(-9)\/((-18)\/z). What is i rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000118014 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 893946297, 893946303, 893946323, 893946363, 893946429, 893946527, 893946663?\nAnswer: 893946843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 15010392 by 61518.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.003253676694 rounded to 5 decimal places?\nAnswer: 0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5647.\nAnswer: 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 21653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0029163227 + 1.4?\nAnswer: 1.3970836773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*c**2*i**2*k + 2*c**2*i + 1378*c**2 + 2*c*i**2*k - 2*c*i*k - 42*i**2*k - k wrt i.\nAnswer: 6*c**2*k + 4*c*k - 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 900167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:52 AM and 6:54 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24 - -28. Suppose -33 = -3*k - 4*v, n*v - 37 = -4*k + v. Suppose 278 = 4*r + 5*q, k*r - 4*q - 193 = 4*r. List the prime factors of r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2002 - 22029\/11. Let t = 2377\/2 - 1224. What is the common denominator of t and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000301212 to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 2 + 1 + (20 - 97 - 60)*(-1 + 4 + 0) + 5 - 4 - 3)*(3*a - a + 12*a + (0*a + a + a)*(3 - 7 + 2)) as x*a + r and give x.\nAnswer: -4110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxgxxg. Give prob of picking 3 x.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5.1 - 4.9. Put -4\/9, 2, i in descending order.\nAnswer: 2, i, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 29*s - 1501. What is p(52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6205551 smaller than 6205552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p = 4*p + 24. Suppose 3*z = -4*y + 24, -3*z + 3 = -y - p. Suppose -4*v + y = -3*f - 3, 3*f + 9 = 5*v. Solve 4*w = -0*o - 3*o - 23, -f*o + w = 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -92 (base 13) to base 2.\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -29.5941 (b) 0.2 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 y, 1 p, and 1 b when four letters picked without replacement from brrpmry.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 17 (b) 10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -621, 0, 5, -0.3, -15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of -g**4\/12 - 34*g**3 - 5202*g**2 + 859*g. Let p(m) = 0. What is m?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5)\/((-5)\/87) + -6. What is the third derivative of 83 - 83 - 76*o**2 + 11*o**2 + l*o**4 wrt o?\nAnswer: 1944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -69*y + 360. Let g be z(5). Solve -g = -0*m - 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.5 + -1. Let h = -0.074 + -77.926. Let p = h - -78.3. Sort 4, u, p.\nAnswer: p, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 659 + -659. Let o = 2.5 + -2.7. Put 4, -8, o, w in descending order.\nAnswer: 4, w, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -25205.7816599054+-0.5\nAnswer: -25206.2816599054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4557 = -1179*k - 1843 - 19220 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of 3*b**6\/8 + b**5\/60 - b**4\/12 + b**3\/3 - b**2 - b - 77. Determine n(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*c - 2*c + 4*c)*(-25*c**2 + 36*c**2 + 82*c**2)*(-c - 2*c + c) to g + t*c**4 + h*c**2 + a*c**3 + s*c and give t.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 6*l**2 + l + 3. Let u(h) = -3*h - 1. Let p be u(-1). Let x be 1 + p + (2 - 11). Is b(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -18072 > -10565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 653347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 7*y**3 - y + 1. Let b(f) = 67*f**3 + f**2 - 1. Determine -b(p) + 2*i(p).\nAnswer: -53*p**3 - p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 159*j**2 + 3 - 4.\nAnswer: -159*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-15)*(0 - 6\/18)*-15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 609156*d*q*t**2 + 8367*d*t**2 + 2*d*t - 2*t - 3 with respect to q.\nAnswer: 609156*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -557, -520, -483, -446, -409, -372?\n\"Answer: 37*l - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iigg. Give prob of sequence gi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1807000 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-1)\/x**(3\/8)*(x*x**1)\/((x\/x**(2\/5))\/x) assuming x is positive.\nAnswer: x**(41\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 0*u + 29*u + 152029600 = 0. What is u rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 804996 is divided by 2070.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2013135 is divided by 671045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 - -0.2. Let f be (10 - 16)*(-2)\/(-4). Which is the nearest to -2\/3? (a) f (b) 1\/21 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p**4 - 14088*p**3 - 224475*p**2 + 772086*p - 533520 = 0.\nAnswer: -4680, -19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1001861 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6927559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3640690421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 46422, 46453, 46504, 46575, 46666, 46777?\n\"Answer: 10*u**2 + u + 46411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -0.2 greater than -207\/1502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2224215137?\nAnswer: 6421, 346397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3*(-4)\/(-16))\/(2\/(-140)). Let h = -52 - g. Sort h, 4\/5, 5.\nAnswer: h, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -3*f - 4*g + 7*g, 0 = 5*f - 2*g - 18. Calculate the remainder when 4 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -604*c + 610*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*l**4 - 2*l**4 + l**4 - 20*l**4 - 8*l**4 - 2*l**4 + (l - l + 2*l)*(-18 + 18 - 7*l**3).\nAnswer: -45*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -24.212 to 1 decimal place.\nAnswer: -24.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = v - 18728, 65*l - 63*l - 4*v - 12462 = 0. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -63 + (1005 + -995 - (-2 + 7 + (3 - 6))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(228)\/(sqrt(12)*2) - sqrt(209)\/(sqrt(11) + (sqrt(11) - (-2*sqrt(44)\/sqrt(4) - sqrt(11))) + sqrt(11)).\nAnswer: -7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 0 - 2*z + z + 8. Let a(i) = i**2 - 2*i**2 + 1 + 6*i**2 - 4*i**2 + i. Let p be a(-3). What is m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30693*n + 30623*n + 8890 = 0 for n.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h**3 - 16*h**2 + 19*h + 18. Let n = -250 - -257. Let z be q(n). What is the greatest common divisor of 159 and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000087321307 to 7 dps.\nAnswer: 0.0000873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 52 - 49. Suppose -x = 2*n - 7, -c*x + 7*x = -4*n + 12. Suppose -2*u - 7*f = -2*f - 19, -n*u + 11 = f. What is the least common multiple of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 3\/10, 4, -13255?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -62 = p - 11*c + 142, 28*p + 332*c - 337*c - 45 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -16 (b) 0.05 (c) -0.054842\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -49 - 113 - 26 - 55 - 54*s - 3*s**2.\nAnswer: -3*(s + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 150 + -25 - (-4 - -3). Calculate the highest common factor of 102 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t + 4 = -7*t, -4*s + 3*t = -168. Let h(r) = r**2 - 2*r - 8. Let q be h(-6). Do s and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-6)*(2666\/310 + -5)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of c**6\/90 - c**4\/36 - c. Factor s(k).\nAnswer: k**2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -13.7 times 23\nAnswer: -315.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 117*f - 4*f - 113 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the second derivative of 3\/4*b**4 + 0*b**5 + 0 + 0*b**3 - 2\/21*b**7 + 0*b**2 - 5*b + 0*b**6. Find the third derivative of r(y) wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 84727 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that u**4\/3 - 1036*u**3\/3 + 90470*u**2 - 1596500*u\/3 + 1326125\/3 = 0.\nAnswer: 1, 5, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 - 14*k**2 + 12*k + 24. Let d be w(13). Let r = -10 + d. What is the highest common divisor of r and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37091126 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -3*x**3 + 2*x**2 + 6*x + 7. Suppose -14*b + 13 - 69 = 0. Let g be f(b). Calculate the highest common divisor of g and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8.31 or -0.22?\nAnswer: -8.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - -84b0809?\nAnswer: 84b0805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p - 3*p - 12*p + 12 = 0. Solve -2*g - 12 = p*v, -g + 2*v + 4 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*a + 257*a + 152*a = -203*a + 75649 for a.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/6)\/(20\/450). Suppose 9*t = 4*t - h. Let f = t + 8. Solve f*k - 8 = -2*m, 2*k - 3*m - 23 = -8*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38103577 to the power of 1\/2, to the nearest integer?\nAnswer: 6173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, b: 2, c: 2, m: 1, g: 6}. What is prob of sequence mmgm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 6*o + 12, 0 = 4*f - 5*o + 11. Let h be (-2)\/(-4)*(9 - f). Suppose -k - 3 = h. What is k rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -81*d - 5. Let b be f(-5). Let x be (-2)\/(-13) - b\/65. What is the remainder when (-13)\/(-3) - 4\/x is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - f = -155, 3*y - 4*f = -9*f - 145. Let r be (-2)\/(-3) + 125\/(-3). Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -66 + 66 + 93*v**2.\nAnswer: 93*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1452, 2905, 4358, 5811?\nAnswer: 7264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 6:09 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18161709?\nAnswer: 3, 37, 131, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -4*i + 1. Let n be c(1). Let w be n\/4 + 165\/60. What is the units digit of (3 + 4)\/(w\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12283 = 5*k - 12648. Solve -k*g = -63*g - 70 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12040163342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 39 less than 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 72372 and 154956.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 34 + -24. Let q(c) = -c + 3. Let m(r) = 2*r. Let f be m(1). Let a be q(f). Put 0, h, a in descending order.\nAnswer: h, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -84738, -84749, -84758, -84765, -84770, -84773, -84774?\n\"Answer: x**2 - 14*x - 84725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**4 - 27*g**3 - 3*g**2 + 27*g.\nAnswer: 3*g*(g - 9)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2 - -10)*15\/12. Calculate the highest common divisor of 40 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 7 (c) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 165847.9 millilitres in litres?\nAnswer: 165.8479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -674*j + 77. Is u(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/44036 and 9\/109?\nAnswer: 44036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*c**2 + 15456 + 13*c**2 - 7729 - 7727 + 0*c**2.\nAnswer: 43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 3 = -3*m. Let i = m - -3. Let t = -31 + 31. Which is greater: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2\/((-60)\/((-45)\/(-3)))*(-16)\/(-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/((-10)\/(-27)))\/(48\/1040)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -61 + 25 + 20 + 17 + 2*a**2 + 2*a. Let g(d) = 11*d**2 + 12*d + 6. Let k(f) = -g(f) + 6*w(f). Let c(v) = 58*v**2. Give c(k(u)).\nAnswer: 58*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000145788102 rounded to 7 dps?\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/((g\/(g\/((g\/g**(5\/2))\/g)))\/g))\/((g**14*g*g)\/g) assuming g is positive.\nAnswer: g**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1059793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5332 + 8082. Is y a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2192*g + 2156*g + 2352 = 4404*g for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -36918536 divided by -9229634?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2\/175 + 167\/700. Let z = 2 + -6. Which is the second smallest value? (a) -3 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -174*j = -170*j - 2700. Let l = j + -468. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**3 - 5*i**2 + 7*i + 8. Let u be r(-6). Which is smaller: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1328233 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 380, 406, 464, 566, 724, 950?\n\"Answer: 2*t**3 + 4*t**2 + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 4:46 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of w**5\/30 + 2*w**3\/3 - 9*w**2. What is the first derivative of c(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) -3\/7 (b) -6\/5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -7*x + 3*x + x + 2 - 2 - x + (x - x - 2*x)*(-3 + 4 + 0) - 2 + 2 - x + 3*x - 4*x + 3*x + (-x + 3*x + 0*x)*(3 - 2 + 1) as t*x + p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.06 + 0.06. Let o be 7\/(-16) - 21\/(-28). Let r = -3\/16 - o. What is the nearest to -0.1 in r, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -11.1 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -134 + 136. What are the prime factors of 1\/l*(-16 + 16) - -776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (62 + 933\/(-15))\/((-6)\/75)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 79 + -114. Let y = z + 26. What are the prime factors of ((-120)\/y)\/((-4)\/(-30))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/72 and -59\/375210.\nAnswer: 1500840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 5 + -1 + -2)**2 + (sqrt(684)*6 - sqrt(57)\/sqrt(3)*4)**2 + 5.\nAnswer: 4*sqrt(19) + 19484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is the square root of 200059 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in fourty-four fifths of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/280364 and 113\/7068.\nAnswer: 841092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*o**2 - 4244480*o + 97620395.\nAnswer: 5*(o - 848873)*(o - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-36*g - 558 + 558)*(-2 + g**2 + 2) - g**3 - 1 + 1 + (4*g + g - 6*g)*(-4*g**2 - g**2 + 4*g**2).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (7 + 3 + -1 + -21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 10*b + 1 = 5*b, -b = -30*n + 61 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-40)\/(-6)*-15*1. Let g = w + 154. Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 121*c**5 + c**4 + 12*c**2 - 2517*c.\nAnswer: 2420*c**3 + 12*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the third derivative of r**6\/60 + 5*r**4\/24 - 26*r**2. Let x(j) = -j**3 - 3*j. Give 6*o(g) + 10*x(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -59.84659 - 0.06341. Let p = -59.029 + 0.029. Let w = q - p. What is w rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(363)*-1 + -5 - (-4*(sqrt(3)*-2 + sqrt(3) - sqrt(3)) - -3*(1 + sqrt(3))))**2*3*2 + 1)*1.\nAnswer: 2112*sqrt(3) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 - 2*d - 28. Let i = 0 - 7. Let t be j(i). Suppose 0 = -2*n - n + 102. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7436*w**2 - 29*w - 5 wrt w?\nAnswer: 14872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -191533000 rounded to the nearest 1000000?\nAnswer: -192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2448*y**2 + 2835*y**2 + 718*y**2 + 2145*y**2 + 139*y**2.\nAnswer: 8285*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-323347)\/1659 - (-3)\/(-7). Let f = -355\/2 - t. Calculate the common denominator of f and 95\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5*w - 4 = 12, -5*d = 4*w - 2. Let o = 1 + d. Let y be (-8 + o)*2\/(-2). Solve -3*p - 1 - 8 = y*b, 0 = -2*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/53965 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*b**2\/3 + 62*b\/3 - 16.\nAnswer: -(b - 8)*(7*b - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 306786 + -72103. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - 1) + (-50 - -45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from szzzsnznnznszzzzszs. Give prob of picking 2 n and 2 z.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 3.1905 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 6297354?\nAnswer: 31486770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of 5\/3*x**3 + 3\/5*x**5 + 0*x**4 + 0*x**2 + 0*x - 3. What is the third derivative of j(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 737\/988 - -1\/247. What is the closest to 1 in -5, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9216 = 147*u + 141*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 3*y**2 - 3*y - 3. Let z be g(2). Suppose z*p = -6, -3*o - 161 = -5*p - 408. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/228, 142, -1682 in decreasing order.\nAnswer: 142, -1\/228, -1682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-98))\/(243\/567*(-2)\/3).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3203298?\nAnswer: 2, 3, 7, 25423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 26434 - 19270. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 39010*q**2. Let x(i) = -i. Calculate h(x(g)).\nAnswer: 39010*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, 1, 901, 2\/7, -0.045, 0, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 8124396 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 512 - 53. Suppose y = 3*j - 4*t, j + t = 3*j - 306. Calculate the highest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2 - 1616*g**5 - 562*g**5 + 2 - 2*g**4 - 169*g**2 wrt g.\nAnswer: -130680*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4*s + 4 + 4*s**2 - 2*s + s**2 - 2*s**2. Is 12 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -56*y + 310. Let j be q(6). What is the hundreds digit of (j - 0)\/(-2)*16585\/155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -320*b**2 - b - 1. Let r be m(-1). Let s = r - 6480. What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4362 is divided by 2162.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 20*m**2 - 1. Let a(v) = -384*v**2. Calculate q(a(k)).\nAnswer: 2949120*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 716518 - 0.15\nAnswer: 716517.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 232 + -88. Does 67 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-21)\/w**4 assuming w is positive.\nAnswer: w**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 + -6. Let r = 5 + u. Let v(p) = p**3 + 8*p**2 - 11*p - 10. Let j be v(r). Solve j + 7 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -243045051*a**3 + 14545172*a**2 - 10 wrt a?\nAnswer: -1458270306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 793 = 2*i + 2*y - 485, 2554 = 4*i + 5*y. Let g = -1535 + i. List the prime factors of (-4)\/5 - g\/30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**3 - 3*c**2 + 3*c - 2. Let k = -4 + 6. Let w be y(k). Suppose -r + 5*r - g - 416 = w, -3*r - 4*g = -331. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-432)\/195*(-12575)\/10060\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (3 + sqrt(5) + (sqrt(45)*4)**2)*6 + -5*((sqrt(60)\/sqrt(300))**2 + 1).\nAnswer: 6*sqrt(5) + 4333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - x - 3*x = 12, -3*r + 2*x + 6 = 0. Let a(i) = r*i - 7*i + 8*i - 3. Suppose -4*z = t - 15, -5*z + 0*t + 23 = -3*t. Calculate a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30.2 - -0.0344.\nAnswer: -30.1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -687 = -140*p + 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 3, -0.2, 0.06816?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(84) + -2*sqrt(84)))\/sqrt(12)*-4)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*2*(sqrt(252) + -3 + sqrt(252) + -2 + -2*(sqrt(252) + 2))*-2*-4 + -3)**2.\nAnswer: 84681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - h = -25, -2*h + 38 = 4*p - 3*h. Suppose 5*t - 5*i + 10 = 0, 10 - 44 = -3*t - 5*i. What is the lowest common multiple of p and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1391 - -1398. Let d = 2 - 1. What is the highest common factor of d and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*g = 12*g - 3. Suppose -w = -n - 3*w, -n + g*w + 15 = 0. Is (-1)\/(-1) + (26460\/7)\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 985509160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3136.73 centimeters?\nAnswer: 31367300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c**2 - 3*c + 5. Let r be (-2)\/(-8) - (4 + 10\/8). Determine o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9042796?\nAnswer: 2, 7, 41, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -7 at most 705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1067154.\nAnswer: 2, 3, 11, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gheggeghggg. Give prob of sequence gg.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-111)\/(-222)*0\/44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20 - -22. Suppose -5*t = -o*i - 551, 0*t - 5*t - 4*i = -563. Suppose 0*j - 37 = -j. Calculate the highest common factor of t and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -60 - -112. Suppose 5*h + p = v, 5*v - 220 = -2*h + 7*h. Calculate the remainder when 122 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -8, -2961 - 94874 = -5*q + 5*c. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = m - 0*m + 3, -160*z - 4*m = -318*z + 163*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 57 and 3401?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/60)\/(-5 - 126\/(-27)). Let n = -33\/2 + 18. Let g = 0.8 - 0.6. Which is the third biggest value? (a) u (b) g (c) -0.06 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9933*l**2*o**5 + 10509*l**2*o + 4*l**2 + 6*l*o - l + 220*o**5 + 4*o + 2 wrt o.\nAnswer: 198660*l**2*o**3 + 4400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -172 (b) 2 (c) 2\/9 (d) -1 (e) -1\/10 (f) -3\/84355\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3054, -3063, -3076, -3093, -3114, -3139?\n\"Answer: -2*r**2 - 3*r - 3049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -36, 0.07, 0.5, 883.\nAnswer: -36, 0.07, 0.5, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-240)\/(-64)*(-72)\/(-120)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5.79 (c) 21188\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*h - 17*h + 18. Suppose 14117 = h*j - 33*v + 34*v, -4*j + 5*v = -28213. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 9:49 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 397769955 to the power of 1\/2, to the nearest integer?\nAnswer: 19944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of 1\/120*l**5 - 1\/420*l**7 + 0*l + 0*l**3 - 21 - 1\/48*l**4 + 1\/240*l**6 + l**2. Factor u(n).\nAnswer: -n*(n - 1)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -3*l + 120. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (105\/125)\/(30\/50).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -41064 or -41176?\nAnswer: -41176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from {y: 3, d: 13}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o + o - o)*(-o**2 + 41686 - 2*o**3 - 41687 + 3*o**2 - o).\nAnswer: 6*o**4 - 6*o**3 + 3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 194847 + -2.406\nAnswer: 194844.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence arpy when four letters picked without replacement from laplllyrl.\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-17 - -18) + (-3 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -0.1 (c) 16 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -10\/13 (b) -36 (c) 8\/19 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*w = -382189 + 383477 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2\/113 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 10*o**2 - 6*o - 4. Let a(z) = -11*z**2 + 6*z + 4. Let g(p) = -5*a(p) - 6*f(p). Let h be g(6). Is (-1)\/((-10)\/70 - 6\/h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 7\/10, 0.13, 2, -1\/4, 2\/3?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the second derivative of 11*v**4\/12 + v. Suppose 0 = 36*z - 750410 - 188866. Let s(g) = -z*g + 26091*g - 2*g**2. What is s(p(y))?\nAnswer: -242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, v: 1, c: 2, k: 1, r: 6}. What is prob of picking 2 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -3*x - 23. Let j = -25 - -114. What is the remainder when j is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -2*a**3 + 2*a**2 + 3*a - 3. Let i be l(2). Suppose 0 = 4*y + 4*y - 80. Let g be (-2)\/y - (3 - (-20)\/25). Which is bigger: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18.9 less than 904165997?\nAnswer: 904166015.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 172*t**3 + 1417*t**3 + 142*t**3 + 780*t**3.\nAnswer: 2511*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 22, 1, 25, -4, -3 in decreasing order.\nAnswer: 25, 22, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**2 - 2*m - 27. Calculate s(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02109711077 rounded to five dps?\nAnswer: -0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -10*o**5 - 17004*o**4 - 6800*o**3 = 0.\nAnswer: -1700, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 2*l**2\/3 + 46*l\/3 + 68 = 0. What is l?\nAnswer: -17, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 + 95. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 309013933 to the power of 1\/2, to the nearest integer?\nAnswer: 17579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((-104)\/156)\/(78\/13)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide (-22 - 7)*((-4)\/2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 - 316035*r. Let g(q) = -q. What is f(g(c))?\nAnswer: c**2 + 316035*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 109 divide 248956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19 is divided by ((-4)\/(-12))\/(1\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -5*n**3 + 526*n**2 - 102*n - 314. Determine m(105).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43, 249, 833, 1993, 3927?\nAnswer: 6833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2839 + -1679. Suppose 910 + s = 10*b. What is the remainder when b is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/6*(-10 + 9 - 14). Suppose 0 = 3*f - n - 8, 4 = -4*f - 0*n + l*n. Solve -4 = -f*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2586 or -43948\/17?\nAnswer: -2586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -246, -4, 0, 2, 13 in increasing order.\nAnswer: -246, -5, -4, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 82 (b) -4 (c) -0.5 (d) 0.3 (e) 335\/6 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-44)\/77*21\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 2*f = -3*f, 4*f - 16 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r - 4*t + 4811 - 4869 = 0, -5*r - 3*t = 50 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 67*c**2 + 930*c - 118. Calculate d(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -12*z**4 - 12351*z**3 - 112983*z**2 + 241806*z + 67320 = 0.\nAnswer: -1020, -11, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 73179 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2184*d**4 - 2190*d**4 + 22*d**5 + 1912*d + 79*d**2 - 79*d**2 wrt d.\nAnswer: 440*d**3 - 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 713, 1636, 2807, 4226?\n\"Answer: 124*f**2 + 551*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**6*y*y**(4\/5))\/(y**(-4\/5)\/(y*y*y**0)) assuming y is positive.\nAnswer: y**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-268)\/(-159) + 0 + -2. Let p = 1\/53 - o. Let h be 2\/6 - 2\/6. Is p less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13117 (base 9) in base 13?\nAnswer: 4045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 78974, 156741, 234508, 312275, 390042, 467809?\nAnswer: 545576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6888)\/(-820)*((-2)\/(-3) + 1)*28\/(-840).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -8 - -5 - (-4 - (-3 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4959 + -4464. Calculate the highest common factor of 20 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -24 - -169\/7. What is the biggest value in 2\/5, -1\/3, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 503835907 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 34 - 16. What is the greatest common divisor of 36 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, t: 3, g: 2, z: 1, y: 2, r: 3}. What is prob of sequence yytd?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 + -1 + ((-2580)\/(-8))\/15. Let z = 291\/14 - s. Which is smaller: z or 125?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, c: 1, b: 1}. Give prob of sequence xb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 5 = 0, n = -4*h - 2 + 9. Let s(i) be the second derivative of 1\/6*i**3 + 0 - i**2 + h*i. Find the first derivative of s(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/(-15) - 296\/110) + 3. Which is the closest to -2\/5? (a) 0.05 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 2*p**3 - 29 - 4*p + 0*p**3 - p**3 + 5*p**2 - 7*p. Let s be z(-6). Let q be (s + -1)\/(9 + -4 + -2). Solve -3*l + l + 10 = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 17*v + 377. Let j be n(0). Let o = j + -377. Solve o + 7 = 5*a + 2*f, 0 = 2*a - 4*f + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 2*q**2 + q + 7. Let b be (-2)\/13 + 148\/(-52). Calculate the smallest common multiple of 6 and m(b).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 128127870 rounded to the nearest 100000?\nAnswer: 128100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 10:45 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 50\/3*f**4 + 656\/3*f**2 - 800 - 2\/3*f**5 - 128*f**3 + 2080\/3*f = 0. Calculate f.\nAnswer: -2, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2.393 - -0.547. Let t = b - 0.044. Let o = -1.9098 - t. Round o to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -505 - -504.7. What is the nearest to -1 in -0.5, 19, b, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -133, 254, -4, -45.\nAnswer: -133, -45, -4, 3, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 13) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 + 8*j**2 + 13*j - 3. What is s(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 17778598 greater than or equal to 17778579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.006887 to four decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**18*f)\/(f\/f**(-11)) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*u**4 + 3*u**4 + u**4 + (-49*u + 156*u + 94*u)*(-u**3 - 3*u**3 + 2*u**3).\nAnswer: -398*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8.505755l?\nAnswer: 8505.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 128.54422 rounded to zero dps?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 10759 = j, 5*j - 7151 = 4*m - 6*m. Does 92 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2691, 3021, 3585, 4395, 5463?\n\"Answer: 2*a**3 + 105*a**2 + a + 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*f - 10 - 14 = 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 + 4c5d?\nAnswer: 4c63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bqyy when four letters picked without replacement from {y: 4, q: 5, b: 1, i: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 + 8. Let m be y\/(-3*1\/(-9)). Let k(f) = -3*f + 4*f - m*f + 0*f. Let d(o) = 2*o**2. What is k(d(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 26 = -16. What is the common denominator of -26 and -11*(-14)\/t*10\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10470, -20952, -31450, -41964, -52494, -63040, -73602?\nAnswer: -84180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 23 = 4*q + 3*y, 2*y - 13 = -3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 59.77624 grams?\nAnswer: 59776.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 4524, 9181, 13838, 18495?\n\"Answer: 4657*j - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12*q**4 + 27*q**2 + 10?\nAnswer: 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -341.4625 + 47.196.\nAnswer: -294.2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f - 3*f + 3*f**3 + 1 + 3*f**2 - 2*f**2. Suppose 4*j - 10 = h, 6*h = 3*h + 2*j. What are the prime factors of l(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 1690\/482673?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8008668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -8.4, -3, -223898?\nAnswer: -223898","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 17 = 1 + 5 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 7 + 0)*(4*s**3 - 3*s**3 + s**3) in the form b + u*s**3 + h*s + j*s**2 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 AM and 12:18 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 4*h = 20. Let y(m) = 4*m + 35 - 13*m**2 + 2*m**2 - 31 + 4*m**2 + 6*m**2. Calculate y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 6*y - 4*y - 1 + 0. Is r(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (4 + (3 - 7) - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 885 (base 13) to base 4.\nAnswer: 112311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**2 + 2*a - 9*a + 6*a - a**4 - 7*a + 4 as h*a + d + i*a**3 + z*a**2 + y*a**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o**2 + 2 - 2)*(o - 2*o + 0*o) - 167*o**2 + 167*o**2 + 20*o**3 + 4*o**3 - 2 - 3*o**3 - 2.\nAnswer: 23*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of -r**5\/4 + 65*r**4\/4 + 140*r**3 + 430*r**2 - 8*r - 3. Determine c so that i(c) = 0.\nAnswer: -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4.06 + -4. Let z = 622045 + -622044.9399998. Let q = z - n. What is q rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -112*t**3 - 4*t**2 + 4*t. Let g(w) = 783*w**3 + 27*w**2 - 27*w. Calculate -4*g(v) - 27*i(v).\nAnswer: -108*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30\/(-32)*16\/(-20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 27243 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + -14324?\nAnswer: -14324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -1079*v - 133861. Determine w(-124).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24 + -22. Let f be (-220)\/(4999\/2500 - i). What is f rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/3 + 365*h\/3 - 11254\/3.\nAnswer: -(h - 331)*(h - 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2\/13, -50\/13 in ascending order.\nAnswer: -50\/13, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 7*g - 9*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 0*k - 1 - 3*k + 2*k. Let t be c(1). Let d = t + 2. What is the third biggest value in -0.4, d, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 39*p + 33*p + 1780 - 2428 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the third derivative of -n**7\/28 - 23*n**6\/80 - n**5\/8 + 51*n**4\/16 - 9*n**3\/2 + 22*n**2 - 2*n. Determine w, given that a(w) = 0.\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*g + 3*b = -7*g - 0*b + 134 + 7, -5*g - 80 = 4*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve i**2\/6 + 4287*i\/2 + 4382179\/3 = 0 for i.\nAnswer: -12139, -722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, -2, 253, -3 in decreasing order.\nAnswer: 253, 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5583606ml in litres?\nAnswer: 0.0005583606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccycwno. Give prob of picking 1 c, 1 o, 1 w, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 36, 70, 104, 138, 172, 206?\n\"Answer: 34*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 9 + 0)*(12*j - 2*j - 2*j).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 762858490 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 36 + (14 - -9) + -39?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of -l**3 + 261*l**2 - 22707*l - 255. Factor w(g).\nAnswer: -3*(g - 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9556 and 29956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 7 - 22 = 0. Suppose 4*d + l*k - 107 = 0, -5*d = -6*d + 2*k + 13. Solve -2*s = -2*c - 2 - 4, -5*c - d = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16208 - -16215. Let k(l) = -2*l**2 + 20*l - 57. Determine k(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3 or 13\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 2*k - k - 3, 2*o + 5*k = 15. Suppose 65 = -5*f + 2*n, -f + o*n - 13 = 5*n. Let s = f + 16. Solve -x - 2 = 0, -x + 4 - s = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**31*g**24)\/(g*(g\/(g\/((g\/(g*(g*g**(5\/9))\/g))\/g)))\/g*g**(-40)) assuming g is positive.\nAnswer: g**(869\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 33834469363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w + 2. Suppose -22 = -4*f - 34. Let v(u) = -2*u - 3. Calculate f*k(z) - 2*v(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from {e: 1, s: 4, g: 5, u: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*w + 73*w = 92 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -5*d**3 + 115498*d - 46*d**4 + 5 + 16*d**4 - 115499*d as b*d**2 + m*d + f*d**4 + w*d**3 + j and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 - 16. Let l = -45.5 + -189. Let d = l + 235. Put d, -4, n in descending order.\nAnswer: d, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/4801 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 603252 and 46092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-12))\/(289\/102)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 480254010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 462*h**3 - 11*h**2 + 11*h - 6. Let c(j) = j**3 - 2*j**2 + 2*j - 1. Give -10*c(a) + 2*p(a).\nAnswer: 914*a**3 - 2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -2*j. Let m be a(-1). Suppose -2*c + 20 = m*c. Suppose 2*l + 2*l - 11 = -r, -c*l = -2*r - 30. Solve -l*i + i = 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -6*z**2 + 100*z + 36. Let t be p(17). Solve -5*q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the second derivative of 0 + 0*z**2 - 4*z - 1\/6*z**3. Let s(u) = 4*u. Give m(s(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 274379 + -274379. Factor 0*k + 24\/7*k**3 + 2\/7*k**5 + t - 16\/7*k**4 + 0*k**2.\nAnswer: 2*k**3*(k - 6)*(k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1960\/(-80) + 57 + -32.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 17365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-648)\/(-342) + (-2)\/(-19). Suppose -w - y = -1, 0 = 3*f + w - 12956. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -180.24 (b) -3 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 34 = -2*j - 3*i, -5*i - 10 = 0. Let s be ((-15)\/(-5) + -1)*j. Solve -x - s = -3*z - 2*z, -5*z + 14 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*k - k - 5*k)*(-1 + 0 - 1 + (-3 - 4 + 6)*(0 + 1 + 1))*(2 - 5 + 5) to g*k + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.13 - 0.14. Put 0.2, x, 4\/5 in descending order.\nAnswer: 4\/5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 212 + -98. Let m = r - 58. What is the least common multiple of m and 11?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-35)\/105*6\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -27100*a**2 + 379395*a + 44. Give o(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 + 3*y**2. Let r be l(3). Let c = r - -2. Suppose 5*t = c*i + 23, -4*i - 13 = -0*t + t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 4 - 5)*(13*p**4 + 161004*p**2 + 2*p**3 - 161004*p**2 + 22).\nAnswer: 65*p**4 + 10*p**3 + 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*z + 3*z - 4*i + 28, 5*z - 37 = 3*i. Let a(d) = 0 - 5*d - 3*d**3 - 8 + 2*d**3 + 9*d**2. What is the units digit of a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -24, -19, -2, 33, 92, 181?\n\"Answer: u**3 - 2*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10132016.\nAnswer: 2, 19, 33329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*13030607.\nAnswer: 3909182.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2.777377mg in kilograms?\nAnswer: 0.000002777377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 94311660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -498705 - -498701. Let w = 881\/36 - 97\/4. What is the third smallest value in -1\/5, s, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 123865?\nAnswer: 5, 7, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 168648023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20 + 39. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 188 and 22842?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2105*j**5 + 3821*j**4 + 24433007*j**2?\nAnswer: 126300*j**2 + 91704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 108315.1 to the nearest one thousand.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-56)\/(-7)*7\/252?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -156 = -5*p + 2*p. Let b = p + -78. Let t = -15 - b. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (62 - 77) + 4 + 1 + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p - 15. Suppose 4*x + 3*r = 44, -2*r + 26 = 3*x + 2*r. Let w be i(x). Let b be (w + -1)\/(3\/9). Put b, 1, 4 in descending order.\nAnswer: 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 134 = 10*a - 12*a - 2*i, 75*i - 78*i - 205 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of a**2*u**2 + a**2 + 2*a*u**2 + 90*a*u - 261*a + u + 4 wrt u?\nAnswer: 2*a**2*u + 4*a*u + 90*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/3)\/((-4)\/12). Let t = 8 + l. Solve t = -2*c - 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that m**4\/3 - 973*m**3\/3 - 3908*m**2\/3 = 0.\nAnswer: -4, 0, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.61 and -881123.\nAnswer: -881122.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -5 + 5 - (1 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -19*b**2 + 6. Calculate g(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of f**2*q**3 - 12*f**2 - f*q**2 + 196*q**3 wrt f.\nAnswer: 2*f*q**3 - 24*f - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 - o - 18682217. Let b be z(0). Let m = -3382217 - b. What is m rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -65\/6 + 34\/3. Factor -c*v + 1\/4 + 1\/4*v**2.\nAnswer: (v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2\/13 (b) -3 (c) -20 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 163732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does -23950 = -23951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 12b7 (base 16) to base 5.\nAnswer: 123131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 276*m + 264. Calculate v(-4).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 65, 2, -189, -514, -979, -1590, -2353?\n\"Answer: -h**3 - 58*h**2 + 118*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(2057) + 1)**2 + 4.\nAnswer: 22*sqrt(17) + 2062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of 1 - s - s**2 + 0*s**3 + 1\/4*s**4. Let l be j(-2). Sort -2, l, 4 in descending order.\nAnswer: 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 10710005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 42177.55 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 + q + 1. Let b be (-12)\/(-66) - (-31)\/11. Let p(u) = 3*u - 3 - 4*u**2 - u - b*u + 6*u**2. Determine -p(y) - 3*r(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -87.2 + 78. Let t = l + 4.2. What is the closest to -1 in -1\/7, t, -1\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 6*o - 2*o - 8, -2*l + o = 11. Let f = -18\/5 - l. Let z = -28.1 - -28.4. What is the nearest to f in -5, -8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/75)\/(1*(-3)\/27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5760 equal to 5759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7 + 0 + 0)*(6*h**3 - 21*h**3 + 9*h**3)*(3 + 5*h - 3) to v*h**4 + y + z*h + c*h**2 + t*h**3 and give v.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 43215\/56 + -5436\/7. Let m = 2201\/6 + -225622\/615. Calculate the common denominator of m and c.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 45170 divided by -9034\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -644 (base 13) to base 7.\nAnswer: -3056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6 + -14 + (1 - -1). Let k = 8 + r. Solve -2*q = -0*q - j + 3, -4*j = -k*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*f**2 + 25*f**2 - 8*f**2 to x*f**2 + k*f + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pkuukkhguhhpucu. What is prob of picking 2 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -10 (b) -4\/23 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 482 and 895315?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 12*a**3*b - 2*a**3 + 423*a**2 + 1202*a - 893489*b**4 wrt b?\nAnswer: 12*a**3 - 3573956*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 360 a factor of 601920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 640, -0.08, 2\/15, 12, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 530*h - 534*h + 148 = -5*l, -3*l = -h - h + 90 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**3 + 11*j**2 - 8*j + 14. Let w be q(7). Calculate the greatest common factor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 AM and 8:42 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -18 (base 11) to base 16\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3 - 32 + (3 - 7 - 3)*(0 + 3 - 8))*(-q**2 - 6*q**2 + 0*q**2 + (q + 1 - 1)*(-3 + 3 - q) - q**2 - q**2 + q**2) as v*q + p + z*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 4 - 3)*(6*b + 30*b + 80*b)*(-b - 1 + 0*b**2 - b**2 - 11*b) to the form j + o*b**2 + d*b + r*b**3 and give d.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-54)\/(-1260)*49)\/(3\/(-2)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**3 + 20*t**2 + 34. Let l be a(-20). Let s = 37 - l. Suppose -s*y - x - x + 893 = 0, 0 = y + x - 297. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32.5 + -230953.96682.\nAnswer: -230921.46682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1703215117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003373 rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2930, -5882, -8856, -11864, -14918, -18030, -21212, -24476?\nAnswer: -27834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-1)\/(-1))\/((330\/20)\/(-3)). Let h = -562\/5 - -112. What is the closest to -2 in -4, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -1*sqrt(396) + (sqrt(396) - 2*sqrt(396)) + -1 + -2*(4 + sqrt(44)\/sqrt(4))*-5)**2.\nAnswer: -156*sqrt(11) + 1565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -382 = 16*o - 286 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 527*g*j**2*p + 2*g*p**2 - 2*g*p + 43*g - 2*j**2 - 2*j*p**2 + 2*j wrt j.\nAnswer: 1054*g*j*p - 4*j - 2*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 140 a factor of 230292300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -3*y + 7. Let d(b) be the third derivative of -b**5\/30 + 17*b**2. Calculate h(d(r)).\nAnswer: 6*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + 80 - 95. Let v(t) = 13*t**2 - 21*t + 2. Calculate the remainder when v(g) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, k: 7, s: 6, e: 5}. Give prob of picking 1 s and 2 e.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 18 + 22 = 0. Let u be 6\/(-10) + r\/(-25). Let j(s) = s**3 - 3*s**2 + s + 2. Let a be j(3). Sort a, -5, u, -2 in decreasing order.\nAnswer: a, u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(4 - 18\/4). Suppose p = -0*p + n + 66, 2*p - k*n = 138. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f + 19. Let v be a(-17). Suppose v + 2 = t. What is the nearest to -2\/7 in t, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-3\/2)\/((p*p**(2\/9)*p)\/p))\/(p\/p**(1\/3))**31 assuming p is positive.\nAnswer: p**(-421\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -150885 = -3*q - 150921 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 + 8 = -2*t. Let k be 4\/t - 3\/(-9). Suppose 0 = -2*m - 4, 7*b + 14 = 5*b - 5*m. Put b, k, 1, -9 in increasing order.\nAnswer: -9, b, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -304 - 352 = -16*k. What is the common denominator of 2 + -1 - k\/24*-2 and 59\/52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -79 - 68 = 21*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 737275496.\nAnswer: 2, 431, 213827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/19, -104, -3\/5, -75?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fhffsshssv. Give prob of picking 2 h and 1 v.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18 - 19. Which is the closest to 0? (a) p (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 4*y + f + 22, 0 = 4*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99) - (sqrt(99) - (2 + sqrt(99))))**2*-1.\nAnswer: -103 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 2 = 5. Let v(m) = m**3 - 9*m**2 + 7*m + 10. Let z be v(8). Suppose -3*r = 2*r - 3*c + 4, -r = 2*c + 19. Put r, k, z in ascending order.\nAnswer: r, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20984316046 + 2.\nAnswer: -20984316044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*r**3\/5 + 104*r**2\/5 + 101*r\/5 + 5.\nAnswer: (r + 25)*(2*r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*l = -21*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-18) + 47\/(-9). Let q(b) be the first derivative of -12*b**2 - 12*b + 9. Let l be q(y). Calculate the highest common divisor of 27 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 9 - 16 = 5*o, 5*o = 5*j - 40. Let b(m) = -7*m**3 + 5*m**2 - 13*m - 2. Let s(i) = -3*i**3 + 2*i**2 - 6*i - 1. Determine j*s(t) - 2*b(t).\nAnswer: -t**3 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + 3*f + (2 + f - 2 + (0 - 4 + 2)*(0 - f + 0) + 4*f - 2*f - f + 0 + 0 - 2*f)*(-111 - 40 + 232).\nAnswer: 165*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -153*l - 23 = -8*n - 148*l, 4*n + l - 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1296 and 729?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 643 - 420. List the prime factors of n.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vny when three letters picked without replacement from hhauyaunyauuyvannanu.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2 + 8*d + 11. Is o(-9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 51*v**5 + 4*v**2 - 21*v**5 - 8 + 10*v**2 - 6*v**4 - 28*v**5 - 2*v**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*r**3 + 5764*r**2 - 1440*r.\nAnswer: -4*r*(r - 360)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1051 in -73, 7.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -f + 2*y + 21, -f - 4*y + 9 = 0. What is the second derivative of -5*d + 6*d + f*d**3 + 3*d wrt d?\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-6*(1*(sqrt(11) + -1) + sqrt(22)\/sqrt(2) + 4 + 5))**2.\nAnswer: 28800*sqrt(11) + 97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4926857?\nAnswer: 13, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**3 - 7*z**2 + 8*z - 10. Give t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -42343 + -4?\nAnswer: -42351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 4 + 12 = v, 0 = -2*v - 5*u - 23. Let j be (-1)\/((-3)\/(-6)*v). What is the units digit of ((-31)\/j)\/(8\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of 57 + 230\/3*k**3 + 5\/2*k**4 - 7*k**5 - 325\/2*k**2 - 5\/6*k**6 + 125*k. Factor m(c).\nAnswer: -5*(c - 1)**3*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 + 2*m**2 + 1. Let x be ((-1)\/3)\/((-2)\/12). Suppose 5 = x*j + h + 15, 0 = -5*h - 20. What is y(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7609365 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (1062\/(-12744))\/((-5)\/(-12))*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 63529 + 20*o - 41*o - 31770 + 22*o - 31768.\nAnswer: o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 21 in -28\/5, -10, -2, -2\/25, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4119 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**3 + 10*j**2 - 11*j + 10. Let r = 40 + -24. Calculate the least common multiple of r and w(-11).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(0 + sqrt(147))*5)**2.\nAnswer: 58800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-4)\/(-10))\/((-6)\/(-5)). Let p = -3.3 - -0.3. Let f = 3.1 + p. Which is the nearest to y? (a) f (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6 - 5*o**4 - 6 + 0*o**4 + 6*o**4 - o**4 + (o**4 - 2*o**2 + 2*o**2)*(3 + 0 - 1).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 24, 2, 3, 212?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 194980 - 1?\nAnswer: 194979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*g**3 + 907*g**2 - 8*g - 97383 wrt g.\nAnswer: -6*g**2 + 1814*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 4*s = -6, -4*s - 6 = 4*n - 5*n. Suppose -3*h - n = -17. Which is the closest to -2? (a) h (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -33*t - 2303 + 2435 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3\/15 + 454*r**2\/3 - 642976*r\/15 - 645248\/15.\nAnswer: -2*(r - 568)**2*(r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 + -1. Find the second derivative of 3*t + 2*t**4 - 3*t**5 - 2*t**4 + l*t**5 wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32370 - 32368. Let p(i) = i**3 + 4*i - 7. Determine p(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 390\/(-52)*(-24)\/18\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 5*p - 72. Suppose 0*k - 2*k = -4*i - 20, 0 = 4*k + 4*i + 8. Suppose -p = -4*x - k. Calculate the smallest common multiple of x and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -3*m + 15. Suppose -2*y - 5 = -2*g - 3, 3*y + 4*g = 4. Suppose o - 4 = j, y*j + j - m = 0. Is 7 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqyyyyyqqyqyyqqqyqqq. What is prob of picking 2 y?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 17 = 1. Let y be 15\/(-2)*n\/12. Suppose -4*a = -0*a + 3*s - 25, y = -2*s. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2560)*-2 - sqrt(2560))\/((-3*sqrt(40))\/sqrt(5)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l + 131 - 141 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - -1 - 5\/4. Let u = -353 + 353.4. What is the second biggest value in u, 0.3, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 56 = 8*f. Let x be f*4\/(-8) + (-10)\/3. Which is the fourth smallest value? (a) 4 (b) x (c) 1.4 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31421783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-54))\/(334\/(-3507))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1012 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24\/13 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of k**3*m*u**2 - k**3*m*u - 89*k**3*u**3 + 3*k**2*m*u**3 + 2*k**2*u**2 + k*m*u wrt u?\nAnswer: -534*k**3 + 18*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the third derivative of -41*y**8\/336 + y**6\/120 - 115*y**4\/8 - 39*y**2 - 1. Find the second derivative of q(f) wrt f.\nAnswer: -820*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 635, 634, 633?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5503.318 millilitres in litres?\nAnswer: 5.503318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 8754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(-25)*2210\/34.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the third derivative of s**5\/20 + 886*s**2 - 2*s. Let j(f) = 5*f - 16. Calculate l(j(n)).\nAnswer: 75*n**2 - 480*n + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 185 + 75 = 0. Let q = -33 - a. Suppose 5*v - 3*y = 2*y + 270, -4*v + 219 = -y. Calculate the highest common divisor of v and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*f - 11640 = 525*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2039*f**4*z**3 - 1803*f*z**3 + 10861578*z**3 with respect to f.\nAnswer: 8156*f**3*z**3 - 1803*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -650 - -654. Let k = 1297\/1740 + 2\/435. What is the fourth smallest value in f, -0.08, k, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-56)\/(-21)*(-29)\/((-1044)\/162) - 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5971144 and 8?\nAnswer: 5971144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 323*b + 666 - 671 - 272*b + 2*b**2 to the form i*b**2 + x*b + d and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -12*z + 5*z + 0*z. Let w(t) = -22*t. Let i(p) = 5*w(p) - 16*y(p). Let k(j) = -30*j. Calculate k(i(u)).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-69845)\/18300 + -1*-2*2. Let z(g) be the third derivative of 0*g**4 + 13\/6*g**3 - l*g**5 - 8*g**2 + 0 + 0*g. Find the first derivative of z(w) wrt w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1414 + 2417. Let b = 84 + q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1073*z**3 + 3888*z**3 - 1039*z**3 - 1199*z**3 - 949*z**3.\nAnswer: -372*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**2\/3 - 2*j\/3 + 1.\nAnswer: -(j - 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-15)*p**(-1) assuming p is positive.\nAnswer: p**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 5*g - 1478 + 1475 = 0, -g + 13 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**2 + 18. Let u be x(0). Let d = -12 + u. Solve 0 = 2*z - 6*z - 2*q - 8, 0 = 3*z + q + d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 9 = -2*d. Suppose 1 = 2*n - 23. Suppose v + 3*v = n. Solve m - v*l = 6, 0*m - d = -3*m + 4*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 387229 and 2841856.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(25) - (sqrt(25) + 4*(sqrt(25) - sqrt(400))))\/(sqrt(55)\/(sqrt(33)\/sqrt(3))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (-3 + 2 + 5)*21118\/8 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 1837665?\nAnswer: 3, 5, 97, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppp when three letters picked without replacement from dpppppcyccpdyppppdpp?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10105471 to the nearest integer?\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of 5\/2*u**4 + 7 - 1\/3*u**3 + u + 0*u**2. Calculate v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -7\/53098?\nAnswer: -7\/53098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1737\/91 or 20?\nAnswer: 1737\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8015 is divided by 1949.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33799333.\nAnswer: 43, 786031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 0.2 (c) -2 (d) -4 (e) 5324 (f) 2\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 70112 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5755 - -13518. Is 127 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-18)\/(-20))\/(-3))\/(78\/104).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3b4 (base 12) to base 11.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-113)\/(-6 - 87\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 - 15)*(-1 + 0). Let y(d) = d**2 - 5*d - 6. Let g be y(6). Suppose -v - 2 + n = g. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-259)\/(-1221))\/(14\/36)*33.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 56 = -2*q, -q + 1 - 11 = -l. Suppose -17 = -4*h + c, -h - 3 = c - 1. Sort 1, h, l in ascending order.\nAnswer: 1, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w + 4*n = -10*w + 18, 5*w - 2*n - 4 = 0. Suppose 6 = b + w. Suppose 27 = -u + b*u. Calculate the least common multiple of u and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -p**2 - 85*p**3 + p**2 - 50 + 120*p**3 wrt p?\nAnswer: 105*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3663 - 3663. Solve 84*x = 89*x + 4*d + 22, 4*x - 5*d - 7 = w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 + 15. Suppose 4*a = -0*a - 5*u + j, -5*a + 20 = 4*u. Let m = 0.1 - 0.3. What is the nearest to a in 0.3, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 2*u - 7. Let t(a) be the first derivative of -a - 32. What is -l(k) + 5*t(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14 + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5*(-5)\/((-25)\/2). List the prime factors of 65\/(-10)*(y + -6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 409889647.\nAnswer: 23, 2213, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 197470 by 16.\nAnswer: 98735\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 328 - 176. Let x be (f\/19)\/(-1 - 0). Let o be 8\/7 - (-120)\/140. What is the closest to o in -3, x, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 + 11*i**2 - 8*i - 10. Let k = -145 + 150. Let s be p(k). Let m(n) = -2*n**2 - 96*n - s*n + 196*n. Let o(u) = -10*u**2. What is m(o(z))?\nAnswer: -200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*x - 3*x + x)*(-1 + 1 + 3)*(-35 + 79 - 11 + (0 + 1 - 3)*(3 - 4 + 2)) to the form m*x + c and give m.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = -0*d. Let i be 1\/(-3)*d - -5. Suppose -f - 2*f + w + 15 = 0, 0 = -i*w. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 5*f - 9*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -210, -928, -2112, -3756, -5854?\nAnswer: -8400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k - 13. Give a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 403498677*l**2 + 539724299 wrt l?\nAnswer: 806997354*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*(-36)\/(-27)*12\/32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 2569.48mm?\nAnswer: 2.56948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3 greater than or equal to -28854208\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, q: 2, a: 1, l: 2, p: 4}. Give prob of sequence lplb.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2012021 (base 4) to base 16\nAnswer: -2189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2645\/650 + (-26752)\/7040.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 13 or 366\/29?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 145078 + 3?\nAnswer: 145082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 326 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + -49 + -16 - -18.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 254, 208\/5.\nAnswer: -0.4, 208\/5, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 - 0) + 1014\/504. Let v(x) be the second derivative of 0 - 1\/12*x**4 + 1\/60*x**6 + 1\/4*x**2 + 1\/20*x**5 - x - 1\/12*x**3 - k*x**7. Factor v(w).\nAnswer: -(w - 1)**3*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1471932 and 325248.\nAnswer: 518120064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -63 - -64. Let r = 8 + -10. What is the closest to l in 3, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -421, -840, -1259, -1678?\n\"Answer: -419*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 114952742?\nAnswer: 2, 17, 79, 42797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the first derivative of 2*a**3\/3 - a**2 - 4*a + 7. Find o, given that p(o) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + ((-52)\/(-2))\/2. Suppose 0 = -0*u - 5*u + h. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 44*n - 11. Suppose 98 = -4*z - 5*b + 623, -2*z + 255 = b. What is the remainder when z is divided by m(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of -w**6\/20 - w**5\/30 + w**3\/6 - 6*w**2. Let r be l(-1). Suppose c - b - 39 = r, -5*c + b + 240 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*l*q**2 + 2*l*q + 6733093*l - 106022871*q**2 wrt l?\nAnswer: -2*q**2 + 2*q + 6733093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 142*y + 2989. Calculate j(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 5*h + 4 = 22, 0 = -3*u + 2*h + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.195 less than -0.064226983?\nAnswer: -0.259226983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1413 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5264 and 168495.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -132*a**2 + 39*a**2 - 24*a**3 + 62*a**3 + 93*a**2 - 30*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - -3. Let x(d) = 4*d + v*d + 0*d. Let r(k) = -k. Determine r(x(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1905107866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -0.9, 2\/11, -4, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2442*c**4 + c**2 + 517?\nAnswer: 58608*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -48760 or -49487?\nAnswer: -48760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -21*n - 7. Let q be r(-8). Suppose -78 - 19 = -3*w - 2*z, -3*z = 5*w - q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1\/2))**13)**(-49)\/((b**(-5)*b**(-4))\/(b*b**(1\/3)\/b*b\/b**1)) assuming b is positive.\nAnswer: b**(1967\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes after 10:11 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 4*f = 136, -5*f + 101 + 184 = -5*o. Let y be 39\/o + (-2)\/(-4). Which is the second biggest value? (a) -2\/19 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5\/8? (a) 5 (b) 6 (c) -8 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3318 - -7154. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q - 4. Let l(y) = y**3 + 7*y**2 + 7*y. Let s be l(-6). Let m be i(s). What is the highest common divisor of 18 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*a - 3*a + a + (2*a - a + a)*(2 - 2 - 3) - 4*a + a + 0*a + (-a - a - a)*(-5 + 2 + 4) to m*a + s and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 3*a**2 - 26*a - 315. What are the prime factors of r(-28)?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 381366170 rounded to the nearest 100000?\nAnswer: 381400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -23*w**2. Let f(b) be the first derivative of b**5\/40 + 2*b**3 - b**2 - 7. Let i(t) be the third derivative of f(t). Calculate i(h(j)).\nAnswer: -69*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.24*1.767.\nAnswer: -2.19108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3\/5 + 34278*m**2\/5 + 34276*m\/5.\nAnswer: 2*m*(m + 1)*(m + 17138)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 + 4*m - 3. Let o be g(2). Suppose -o - 11 = -4*h. Is 56 + h\/(-2)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Let r(h) be the first derivative of -h**6\/540 - h**5\/90 - h**4\/36 - h**3\/3 + 3. Let w(f) be the third derivative of r(f). Factor w(v).\nAnswer: -2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d + 14. Let y be x(-11). Suppose -y*g + 4 = -g. What is the third derivative of 6*j**2 + 4*j**2 + 4*j**4 + 2*j**2 - 3*j**g wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 divided by -28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 5 = -29. Let c be 129\/p*6 - 1\/(-4). List the prime factors of (c\/3)\/4*(-75)\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39639530.\nAnswer: 2, 5, 7, 80897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3811162736?\nAnswer: 2, 3457, 68903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be -21*(0\/(-4) - 1). Let i = -12 + q. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 280 and 315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((sqrt(2299) - (1*sqrt(2299) + -3) - sqrt(2299)) + -1*sqrt(2299) + 1)**2.\nAnswer: -176*sqrt(19) + 9213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 - -2. Let l(a) = a**3 - 3*a**2 - 3*a - 5. Let t be l(4). Let u be 0\/((-3)\/(-3)*t). What is the nearest to u in g, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -3*m + 6. Suppose -40 = i - 5*i. Suppose 5*l = 5*a - i - 0, -4*a = 5*l - 26. What is v(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + w + 1486. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.03433*3159\nAnswer: 108.44847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aqayqqaggggqaqgagq. Give prob of sequence agy.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.0278 + 3.0422. Let y = -0.07 + w. Let p be (20 - 17) + (-49)\/14 + 2. Sort 0.5, p, y in descending order.\nAnswer: y, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**5 + w**4 + w. Let a = 77 - 85. Let m(x) = -12*x**5 - 8*x**4 - 24*x**3 - 16*x**2 + 4*x. Let d(q) = a*s(q) + m(q). Find k such that d(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 30*c + 433. Give y(-20).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 - 1\/((-1)\/4). Suppose f*w - 174 + 54 = 0. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 146*i. Let u = -3 + 4. Let r be j(u). Suppose -r + 6 = -2*p. Calculate the highest common factor of p and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w**4 + 6080*w**3 - 42916*w**2 - 244496*w - 268752 = 0.\nAnswer: -1527, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 2*k - 1 = 0, k - 11 = 2*l. Let h(v) = v**2 + 8*v + 15. Let x be h(l). Suppose -c = -2*c - x*n + 449, -1321 = -3*c + 4*n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -4*c - 0*c. Sort -2, c, -4 in decreasing order.\nAnswer: -2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*x**2 - 4*x**2 - 2*x**3 + (x - 1 + 1)*(x**2 + 0*x**2 + 0*x**2))*(-706*x + 315*x + 309*x).\nAnswer: 82*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f - 0*f. Suppose f*x - 5*x = -100. Suppose x = 5*p + 2*z, -2*p - 3*z + z = -8. Solve 0 = -p*b - m + 17, 4*m - 35 = b - 6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16041?\nAnswer: 3, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/7412160 and 127\/13341888.\nAnswer: 66709440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (61\/61)\/(2\/(-8)). Let m(c) = 68*c + 3. Let i(a) = 23*a + 1. Calculate s*m(h) + 11*i(h).\nAnswer: -19*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from qyxqxicixxxicxixq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*h + z - 21191 + 21204 = 0, -3*h - z - 31 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 239001.71 - 238286.17972. Let h = -715.7 + b. Let i = 0.17 + h. What is i rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.2, -18.2, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24556 divided by 2.\nAnswer: -12278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 66 + -65.59. Let g = l - 0.71. Let m be (1 + 1)*(-6)\/(-4). Which is the closest to g? (a) m (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -2*l**2 - 10*l + 4. Let o be n(-5). Solve o*w - w + 5*s = -10, -4*s - 30 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 72.432216 - 64.4322. Let n = 8 - t. What is n rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 + 6. Let m be -2*t\/(9\/(-6)). Solve -4*n + 1 = -3*c, -2*n - 5*c + m = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -65 by 23.\nAnswer: -65\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - 2 - (11 - 3 - (-64 - -80) - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3709*v - 3334*v + 144951 - 518230 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-105))\/(2\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 559\/(-14 + 14 - 1\/(-3)). Suppose 11*d - x = -2*d. What is the greatest common factor of 215 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -41, 7804, -1.\nAnswer: -41, -1, 3, 7804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -8*j**4 - 5*j**2 - 58*j**3 - 58*j**3 + 117*j**3 in the form a*j**2 + m*j**3 + w*j**4 + q + n*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 273 and 0.556?\nAnswer: 151.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - 8 - (-7 + 1) - (20 + -114 + -8)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*z + 119 = 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*x + 5*x - 7*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 12248 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: Differentiate -12*s**3 + s**2 - s - 3677 wrt s.\nAnswer: -36*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1212 - 345. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (14\/4 - 1)\/((-3)\/(-78)). Let q be m\/325 + 1 + 148\/10. Suppose 164*d - q = 160*d. Solve u + d*u - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 4 = 2*f. Suppose f = -2*d + 6. Factor -w**4 + d*w**3 + 21*w - w**2 - 21*w.\nAnswer: -w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 7*d = 186. Calculate the highest common factor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 2*j + 4 = 3, j = -5*r + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4.79 - 11.87. Let v = r - -3.08. What is the closest to 2\/3 in -6, -3\/4, v, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00421809 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 + 823*j**2 - 572*j + 207594. Calculate h(-824).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1084437 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3240145.999932 + 3240130. Let t = 13.3 + 2.7. Let u = t + m. What is u rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -h**3 + 4*h + 0*h**4 - 2*h - 2*h**4 + (-3*h**2 - h**2 + 3*h**2)*(23377*h**2 - 45746*h**2 + 19850*h**2) as w*h**4 + j + b*h**3 + p*h**2 + s*h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6c - 3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 21 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (92 - (-16647)\/(-186))\/(5\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.6? (a) 2\/7 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 AM and 6:43 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (10\/(-4))\/((-1)\/2). Let n = l + -10. Which is the closest to -1? (a) -0.2 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -4*g**3 + 7*g**2 - 116*g - 3. Let q(d) = 2*d**3 - 3*d**2 + 67*d + 1. Give 7*q(n) + 4*t(n).\nAnswer: -2*n**3 + 7*n**2 + 5*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -124*x - 5*x**5 + 22 - 9*x**5 - 10 - 12 wrt x.\nAnswer: -280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*f - 3*q - 6 = 24*f, 5*f - 4*q + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.126 - -21.926. Let f = -21.4 + p. Which is the smallest value? (a) -1\/19 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 3 + 8. Let t(k) be the first derivative of 7*k**3 + 5*k**2\/2 - k - 34. Is t(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 23729?\nAnswer: 4745.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 265420 plus -2?\nAnswer: 265418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1701*p**2*r*z**3 - 1202*p**2*z**3 - 2*p*r*z**2 - 5*p*z**3 + p*z**2 - 1553*p*z + 5*p + 2*r*z wrt p.\nAnswer: -3402*r*z**3 - 2404*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, g: 4, a: 4}. Give prob of picking 2 g and 2 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*d = 2*a - 15*d - 20, -4*d - 16 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -71*b - 344. Let t be r(-29). Calculate the greatest common divisor of 595 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 5, 126, 3, -2106 in increasing order.\nAnswer: -2106, -5, 3, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 4*f - 4. Let g be c(3). What are the prime factors of g - 6 - -134*1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 2 = -v + 6, -v + 3*c + 4 = 0. What is the least common multiple of v and (0 + (-36)\/3)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 4*w**3 - 3*w**2 - 3. Let p(d) = -5*d**2 - 2*d**2 + d**3 + 8*d**3 - 7. Let k be 50\/6 - (-32)\/(-24). Calculate k*o(b) - 3*p(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2 + 2)*1*17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of c**2 + 544*c + 262?\nAnswer: 2*c + 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 5*w + 7, 2*t - w - 10 + 3 = 0. Find the common denominator of (17\/3)\/(t\/(-4)) and 51\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/7, -0.5, 30.59?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 6276 (base 9) to base 12.\nAnswer: 27b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09516 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - 5 - (2 + -1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 602225 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zs when two letters picked without replacement from {s: 4, t: 2, c: 1, f: 2, z: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -3222848770 to the nearest 100000.\nAnswer: -3222800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -86 in -54, 4, -1, -14?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 62 = 4*o, 5*o - 4*u - 29 - 42 = 0. Let f = -21 + o. Let l(a) = 5790*a**2 - 2*a + 5790*a**2 - 11574*a**2 + 2*a**3 - a**3 - 7. Determine l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19311*v**3 - 28757*v**2?\nAnswer: -115866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -383, -417, -449, -485, -531?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89 - 14 - 4*m + 103.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*a - 49*a + 206 = 2*l, l = 4*a - 157. Calculate the remainder when 95 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 4*y - 8 = -2*o, o = -3*o - 19*y + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*w = 2*u + w - 14*w - 28, -2*u = 13*w - 82 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dddeqxdwddwdyx. What is prob of picking 1 d, 1 q, and 1 e?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 + 8\/3)\/(14\/9). What is the biggest value in p, -5\/2, -3, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24309285 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -292*f = -590*f + 289*f. Which is smaller: -3\/62 or f?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.07 - -1.07. Let w = -15.14 + 0.14. Sort n, 1, w, -0.4.\nAnswer: w, -0.4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 - 11*v**2 - 13*v - 7. Suppose 0 = -3*u - 2*k + 24, 3*u + k - 36 = 3*k. Let b be j(u). Let a = 355 + b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 2 + 0)*((-50 + 50 + 9*g)*(4 - 1 - 2) + 43*g - 13*g + 17*g - 4*g) in the form r*g + y and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -79*z**2 - z + 1. Let q(y) = 396*y**2 + 5*y - 752. Calculate -2*q(j) - 10*s(j).\nAnswer: -2*j**2 + 1494","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -501813 + 1.24?\nAnswer: -501811.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 257 = 4*u - 203. Suppose 53 = -2*r + u. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 114*v - 1995 = 0. Solve v*i = 24*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 258049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17400552 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((-3*4*sqrt(1053))**2 + -3).\nAnswer: -454887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 83 + 76. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*r + 13*r + 8*r + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 39*l**3 + 9*l**2 + 1556*l?\nAnswer: 234*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 52909 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7406?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1143702008.\nAnswer: 2, 139, 1028509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1214*g - 5010 = 1703*g + 3303 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.0473 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 709*y - 5 + 677*y + 5 - 2130*y + 740*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3 equal to 0.04054125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-374)\/(-8) + 99\/(-36) + 3 is divided by ((-9)\/(-4))\/(9\/96).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (18 + -9 - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 4*f + 1. Let k(t) = -225*t + 1. Calculate 2*a(q) - 2*k(q).\nAnswer: 458*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -67 + 144. Let c = 160 + -94. What is the greatest common factor of v and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 44 - 20. Let u = -30 + d. Let x be 7 - (u\/(-2) - 1). Let w(s) = -s**2 + 4*s + 1. Determine w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 146 + -228. Which is smaller: -83 or p?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (1 + (-3)\/(-36)*3412)\/(12\/162)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 94*q**2 - 11922*q - 101397. Give n(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.35 + -0.45. Which is the second smallest value? (a) 3 (b) g (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**2 - 10*t + 14. Let q be j(-11). Let i be q\/10*50\/60. Let -1\/4 + i*k**2 + 0*k = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*y = 132 + 197 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -2*a**2 + 66*a - 448. Determine m(12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 980009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be 19787\/1*(-2)\/20. Let y = c + 1985. Find the common denominator of 53\/6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 261534 and 1.\nAnswer: 261534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**3 - 4*b**2 - 2*b + 3. Let d be k(-3). Let g(s) = -1 + s + 2*s + d. What is the tens digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 53 - 50. Solve 2*p + w*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8242.086 at least -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 16945*f**3 - 15794*f**2 wrt f.\nAnswer: 101670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 15*s**3 - 11*s**2 + 142379*s + 585093224.\nAnswer: 45*s**2 - 22*s + 142379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f = -2*y - 2, 23*f - 405 = -3*y - 460 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 - 3*u**2 + 4*u + 3. Let y be b(-2). Let f be 4\/(-18) - (0 - (-20)\/y). Find the second derivative of -8*p**5 - 3*p - p - f*p**5 wrt p.\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from kdfufdgg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -c**5 - 14\/3*c**3 + 8\/3*c + 4\/3*c**2 - 13\/3*c**4 + 0 = 0. Calculate c.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1172952394 to the power of 1\/3, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3381491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9165922 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (0*b + 0*b - b)*(-b + 0*b + 0*b) + 2*b**2 - 317 - 65*b - 319 + 639 in the form i*b + w + v*b**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 82*i**2 + 32*i**2 + 33*i**2.\nAnswer: 147*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*k - 8 = 4*q - 43*k, -3*k - 4 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 949 a factor of 95186598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 7) + 3 + -2 + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -2*o**2 - 29*o - 98. Let h be s(-5). Sort -2, 43, h in ascending order.\nAnswer: h, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96)\/(sqrt(200) - sqrt(200)*4))\/((sqrt(486) + -3*sqrt(486))*6 + sqrt(486)).\nAnswer: sqrt(2)\/1485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -11100001110010011101 (base 2) in base 7?\nAnswer: -10601203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**2. Let g(t) = 231*t - 4. Let m(b) = 692*b - 11. Let s(k) = -11*g(k) + 4*m(k). Determine s(n(p)).\nAnswer: -227*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (118\/(-29) - -4) + (-5280)\/(-870). Suppose 24 + 48 = 3*q. What is the highest common factor of o and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k**4\/5 - 14193*k**3\/5 + 581877*k**2 - 200090547*k\/5 + 4594526874\/5 = 0. Calculate k.\nAnswer: 69, 13986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 - 9*p**2 + 12*p - 17. Let c be m(7). Let k(n) = -n**3 - 32*n**2 - 33*n - 60. Let f be k(c). Solve 3*b + f = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1420 is divided by 641?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 + 0)*(0 + 3 - 5)*(-10*o - 40*o + 3*o).\nAnswer: 376*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*d + 4*d. Factor 10*t**4 + 16*t**3 - t**5 - 4*t**d + 3*t**5 + 12*t**2.\nAnswer: 2*t**2*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 4*a = -42, -1 = g - 3*a - 5. Suppose 0 = 5*x - g*x + 45. Calculate the remainder when x is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -4347*o - 12 - 13 + 4348*o. What is the lowest common multiple of 36 and q(31)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -5*h - 6. Let m be ((-3)\/h)\/((-18)\/8). Are -1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 + 3. Suppose 17 = m*a - 91. What is the smallest common multiple of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7912 - -7907. What is the fourth smallest value in j, 0.3, -4, 3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 11 - 9 = 0, 3*d - 3*k = 18. Let b be (-7 + d)\/((-6)\/(-4)). Factor 4\/3 - b*t + 2\/3*t**2.\nAnswer: 2*(t - 2)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18945 + 19525. Calculate the highest common factor of 360 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/496287 and 37\/693?\nAnswer: 3474009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the third derivative of f**4\/12 + f**3\/6 + 3*f**2 + 35. Let s(y) = y + 1. Let d(k) = 2*k**2 - 20*k + 19. Let q be d(9). Give q*s(u) - z(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 119 a factor of 851347896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 760154561*r**5 - 222014*r + 1118?\nAnswer: 15203091220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.09562 and -4.\nAnswer: 0.38248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -111 + 103. Let l(y) = y + 11. Let t be l(b). Suppose t*p = -3 - 3, 4*p - 3056 = -4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*t - 0*k + 4*k, -2*t - 33 = 3*k. Let a = 14 + t. Solve -5*s - 7 = -2*i, 1 = 4*s - 0*s + a*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14.4 + 14. Put 3\/2, v, -8 in descending order.\nAnswer: 3\/2, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.9174 * 0.2\nAnswer: -0.58348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 42 = 3*w + 9, -w + 5 = 0. Let y = g - 1. Solve x - 2*c + 7 = 0, 3*x + y*c = -2 + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/(8*(-8)\/(-352)). Let b(t) = -c*t + 28*t + 0*t**2 + 6 + 4*t**2 - t**2 - 2*t**2. Let r(v) = 2*v**2 - 8*v + 9. Calculate 8*b(n) - 5*r(n).\nAnswer: -2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(425) + 0 + -1))**2 - (sqrt(17) + 0 + 3 + -4 + sqrt(34)\/sqrt(2)).\nAnswer: -252*sqrt(17) + 10651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -3*f**3 - 5*f**2 - 5*f - 12. Let j(k) = k**3 + 2*k**2 + 2*k + 6. Let m(i) = -5*j(i) - 2*q(i). Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 11:13 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 33540 and 36853752.\nAnswer: 184268760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 3*u = 44. Suppose -2*q = -4 + u. Let h be q + 11 - (-2 - -1). Solve -3*d + 0*f + 4*f = -h, f - 12 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6467 is divided by 2992?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d**2 - 5*d + 11. Let k be g(-7). Which is bigger: k or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 375638 is divided by 23475?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:31 AM and 1:26 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 3072453, 6144904, 9217355, 12289806, 15362257?\n\"Answer: 3072451*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 1284 = -r, r - 13254 = 2*x - 14090. Suppose 0 = 2*c + 2*c - 44. Calculate the lowest common multiple of x and c.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -2\/5 (b) 0.04 (c) 99427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72) + -3 + -4 + (sqrt(18) - -2*sqrt(18)))**2 + sqrt(36)\/(sqrt(2) + -2*sqrt(8)).\nAnswer: -211*sqrt(2) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = t - 3, -266*t + 262*t = 5*s - 10. Solve -28*r + 29*r - t*o + 17 = 0, o = 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u. Let x(r) = -3 - 8*r - 8 + 11. Give x(q(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gpx when three letters picked without replacement from gpxgg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -72569.6 - -65440. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -151.32 - -11.02. Let t = i + 134. What is t rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 3*q - 30 + 13 = 0, -d - 5 = q. Sort d, -29, 0 in decreasing order.\nAnswer: 0, d, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n + 1 - 1)*(-35*n + 1734 - 1734) - 2 - n**2 + 2.\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -4, 512, -2, 10, -1 in increasing order.\nAnswer: -4, -2, -1, 6, 10, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -2*g. Suppose g = -3*i - 2*i. Suppose o - 3*m - 20 = i, -3*o = -0*o + 4*m - 8. Solve o*n - 3*n = 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2\/7))**(-2\/177)*v**(-5)\/v**(-7))\/((v\/(v*v**2))**(-2\/21)*v\/((v\/v**0)\/v)*(v*v*v**(1\/6))\/v*v) assuming v is positive.\nAnswer: v**(-3355\/2478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-12061)\/27568)\/((-6)\/(-672))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 139897729?\nAnswer: 113, 1238033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -20103?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (48\/(-200))\/(8\/40)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5.3 + -522.3. Let j = 517.001568 + z. What is j rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -727*p + 20. Let i(r) = -242*r + 7. What is 17*i(c) - 6*t(c)?\nAnswer: 248*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 + 62 = -26*u - 69 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((6 - 2) + -1 - 7) + 7. Factor j*p**2 + 3\/2*p**4 - 9\/2*p**3 + 0*p + 0.\nAnswer: 3*p**2*(p - 2)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/d**(2\/11))\/d)**12*((d\/(d*d**(-2\/9)))\/d)**(1\/16))**(-8\/7) assuming d is positive.\nAnswer: d**(3533\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-180)\/24)\/((-6)\/4). Suppose -t*i - 5*w + 1205 = -0*w, 5*i = -w + 1209. Is 33 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -77*j + 233 = -722 + 262 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 464 is divided by 45.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {j: 3, v: 2, t: 1, k: 3, y: 1, i: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 378 and 3078.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 4*v + v - p, -3*p + 4 = -4*v. Let o = 0.004 - 0.004. Let l = -89\/4 - -22. Which is the closest to v? (a) l (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -8273*s + 33113. Determine a(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 + -6. Let d be x\/(-1)*(4 + -2). Find the first derivative of -d*a + 3*a - 1 - 2*a wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 615.48432 to 1 decimal place.\nAnswer: 615.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of 3*j**2\/2 - 4*j + 2. Let r be h(3). Solve 2*a - 3 = r*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1641\/(-3) - (-1 - -3)\/1. Let s be x\/(-854) + 2\/4. Solve 4\/7*i**3 + 0 - s*i + 4\/7*i**2 = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - 5. Let y = 1001 - 1000. Which is the closest to 2\/21? (a) 3 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4\/79 (b) 2\/11 (c) -0.023 (d) 3 (e) 19 (f) -5\/3 (g) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -11*x**2 + 120*x - 17. Let z(k) = -2*k**2 + 2*k - 2. Calculate -d(f) + 6*z(f).\nAnswer: -f**2 - 108*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02348305376 rounded to 4 decimal places?\nAnswer: 0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -2\/9 (c) 0 (d) -0.2309 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**2 - 2*x. Let v(i) = 24*i**2 + 6*i + 37. Let w(j) = 3*d(j) + v(j). What is the first derivative of w(r) wrt r?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21\/(-14)*8\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*n**2 + n**2 - 4*n**2 + (2*n + n - 2*n)*(0 + 4 - 6)*(-12 - n + 14 + 2) as z*n + i*n**2 + x and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 - 8. Let t be f(-4). Solve t*w = 2*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 6 + 3)*(4*i + 2*i - 5*i) + (2 + 3*i - 2)*(1 - 1 - 2).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(7) + 2)*2)**2 + (-2*sqrt(252) + 5 - sqrt(252)).\nAnswer: 30*sqrt(7) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-10)\/b**(-24)*(b\/((b\/(b\/(b**17*b)))\/b)*b)\/(b\/((b**(-2\/25)*b)\/b*b*b)) assuming b is positive.\nAnswer: b**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1665482 is divided by 282.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**3 + u. Let g be k(-1). Suppose -4 = -2*y, -3*y = j - g + 4. Let c = j - -15. Solve -6*q = -q + 10, c*p = 3*q + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1612 = 5*w + 5748. Let t = w + 7334\/5. Calculate the common denominator of t and (3 + (1 - 3))\/(8\/190).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 126650208 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1137*-0.2.\nAnswer: 0.02274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 12751267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -2*o**3 + 30*o**2 - 64*o - 159. Give h(16).\nAnswer: -1695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + v - 9. Let s(k) = 2*k - 3. Let q(i) = -4*i + 7. Let j(g) = v*q(g) + 7*s(g). Let t(m) = 2*m - 3*m - m. Calculate t(j(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*w = -5*u - 86*w - 70, -2*u + 3*w + 41 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1b - -1a798cc?\nAnswer: 1a798e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 263527467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -91 - -164. Let h(b) be the third derivative of -b**6\/120 - b**5\/30 + b**4\/12 + b**3\/6 + 5*b**2. Calculate the remainder when i is divided by h(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -115 - -712. Let o = p + -304. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/12)\/(4*(-4)\/192)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4813, -883, 3047?\nAnswer: 6977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 68*b**2. Let i(z) = 303*z**2. Give i(l(d)).\nAnswer: 1401072*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -13*y**2 + 8*y - 6. Let x(v) = 11*v**2 - 7*v + 5. Let w(b) = 6*l(b) + 7*x(b). Let p(m) = -2*m**3 - 6*m**2 - 10*m - 8. Give p(i) - 10*w(i).\nAnswer: -2*i**3 + 4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum 130 and 0.15.\nAnswer: 130.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -158 (base 11) to base 2.\nAnswer: -10111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 45 - 37. Solve -i + 2 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v = 4*i + 20, 0 = 46*v - 47*v + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(275)*1.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1811881 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 55689 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40546 and 14453?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -n + 13, 0 = -5*l - n + 5 + 10. Suppose -v - l*o + 13 = -0*o, -4*v - 13 = -5*o. Let t(b) = 18*b - 3. Is t(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-180)\/(-50))\/(4\/10). Let t = -7 + v. Suppose 5*l + 6 = 3*d, -3*l - 2*d + t + 2 = 0. Let z(u) = u**2 + u - 1. What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 0.055, -4, 2141.8.\nAnswer: -4, 0.055, 0.5, 2141.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the first derivative of -307*g**4\/4 + 52*g**3\/3 - 35*g**2\/2 + 150*g - 93. Let j be a(35). What is j rounded to the nearest one hundred thousand?\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 66787 and 133168?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 355752906?\nAnswer: 2, 3, 101, 587051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 411 divided by -3.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21053\/1672 + 7\/209. What is the common denominator of m and 91\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*u + 13*u - 106 + 144 - 452.\nAnswer: -32*u - 414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g - 11. Let d be s(5). Let x(r) be the second derivative of 5*r**4\/12 + r**2 - 3*r + 62. Let o(w) = -4*w**2 - 2. Determine d*o(a) - 5*x(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2 - -10657647477919.\nAnswer: 10657647477919.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - 15817127?\nAnswer: -15817126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 495 + -481. Calculate the remainder when 1833 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -6*u**2 - u. Let r be g(-1). Let t be (-8)\/(-2)*r\/(-10). What is the units digit of 12\/3 + (-1 - t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 47 + -43. Suppose p*x = x. Suppose x = 2*q - 4*b - 40 - 20, 0 = 5*q + 3*b - 111. Calculate the highest common factor of 36 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -2\/15, 3.07 in increasing order.\nAnswer: -0.3, -2\/15, 3.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-nine halves of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 31715 (base 8) to base 4.\nAnswer: 3033031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 1606 = -194. What is the highest common divisor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 100 + -70. Let x be q\/7 + -4*4\/56. Solve 5*p = 2*p + 4*l + 10, 3*l + x = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 211354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b - 1. Let s(j) = j**3 - 4*j - 4. Let f(w) = w**3 + 5*w**2 + 2*w + 11. Let o be f(-5). Determine o*s(d) - 4*a(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*h**2 + 23*h**2 + 51*h**2)*(-5*h**2 - h**2 + 3*h**2).\nAnswer: -159*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -450a16 (base 11) in base 16?\nAnswer: -af72c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 33 + -39. Let l(p) = p**2 + 5*p - 7. Give l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 98285516 a multiple of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 + 58*s**2 + 248*s - 881. Let c be q(-53). Suppose n - 2*m = 2, n + 4*n - 26 = 2*m. Calculate the highest common divisor of n and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8086617463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 60471791 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 10 - 2 = 0. Solve o + 4*s + 35 = -2*o, -x*o + s = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 83\/3, -4, 34.5, 0.2, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (7 - 2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 39*l**2 + 13192 - 4*l**2 - 27971 - 128*l**4 wrt l?\nAnswer: -512*l**3 + 70*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -29.8 - -34. Let z = n - 4. Which is smaller: z or 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -8*s**4\/7 + 626*s**3\/7 + 18762*s**2\/7 + 62676*s\/7 + 36720\/7 = 0.\nAnswer: -20, -3, -3\/4, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 339*m - 55728 = 115*m - 362*m - 446*m for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 482, 492, 516, 560, 630, 732, 872, 1056?\n\"Answer: t**3 + t**2 + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 39204485 to the nearest integer?\nAnswer: 6261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 110*n**5 + 4*n.\nAnswer: 2200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 2 = 2*p - 0*z, -5*p + 3*z = -23. Suppose -p = -2*x + u, 3*u - u - 2 = 0. Solve 0*g = x*s + g - 4, g - 6 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**3 - 6*v**2 + 3*v + 7. Let d(s) = s**2 + 3*s - 5. Let p be d(-5). Let c be y(p). Is ((-1)\/c)\/((-1)\/(-153)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7347\/9480 - 6\/16.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -11589 (base 14) in base 15?\nAnswer: -c7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 62 + 143. Let i = -40 + a. What is the highest common divisor of 132 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 736 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.4 - 0.7. Let j = 0.8 - -2.2. Let f = 66 - 196\/3. Put f, j, p in descending order.\nAnswer: j, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 61, 112, 163, 214, 265?\n\"Answer: 51*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 5*q = -7 - 12, 0 = -w - 3*q + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 116*k + 123*k - 170*k. Let r = 0.6 + -0.72. Which is the third biggest value? (a) -1\/2 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15753813893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*p**2 - 60*p + 5*p**2 + 3*p**2 + 12*p**2 + 59*p.\nAnswer: 20*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 990171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2 and 3544982825371?\nAnswer: 3544982825369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*g - 17*g + 2*g.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r**3 + 9*r**2 - 19*r + 8. Let l = -152 - -158. What is the remainder when 11 is divided by f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(4 - 234\/57). Let t = 8 - 7.8. Which is the second biggest value? (a) t (b) m (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(220)*-1)\/sqrt(11)*-5)\/(-2*sqrt(4)*-1*1) + 0)**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 11*h. Suppose 5*t - 25 = -5*g, 5*t - 42 = -g - 17. Let a(y) = y + g*y + y. Determine a(k(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4\/(-367972))\/((-1)\/1). Let b = c + 455286\/430435247. Let f = -406963\/102938 - b. What is the common denominator of -101\/10 and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 4, v: 4, z: 1, n: 1, q: 1, r: 1}. Give prob of picking 2 t, 1 z, and 1 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1213, -1177, -1123, -1057, -985, -913?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 PM and 7:35 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 11*f + 12*f = 5, -4*f = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 54 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -h**2*k**3*r - 23*h**2 + 4*h*k**3*r + 1385*k**3*r - 2*k*r wrt h.\nAnswer: -2*h*k**3*r - 46*h + 4*k**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/6 or -4\/59?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are 6 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be -6*(5 + -4) - -4. Let h(c) = -c**3 + c**2. Let z(y) = 7*y**3 - 46*y**2 - 36*y. Let s(b) = p*h(b) + z(b). Find t such that s(t) = 0.\nAnswer: -2\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*h + 1 + 3 - 6)*(2 - 6 + 0) to i + z*h and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 278*w**2 - 50*w + 37. What is the remainder when y(3) is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 0 + k + 0 + 1 + 3*k. Let n(m) = 5*m. Suppose -4*x = 4*w - 52, 0*w = 4*x + 5*w - 56. Suppose -40 = -x*s - 13. What is s*d(j) - 2*n(j)?\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.0922244 micrometers?\nAnswer: 0.0000922244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -58\/301 and -107\/56?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -32 + 30 + d**4 + 0*d - 3*d**2 - d - 3*d**4 in the form z*d**2 + a*d**4 + x*d + u + p*d**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -82769*s**5 + 101417*s**2 wrt s.\nAnswer: -4966140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 5*i = -6644. Let f = 950 - i. Let p = f + -238. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2634733 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8\/3)\/(14\/21). Solve -w*l - 2*h + 6 + 2 = 0, -l - 5*h = -20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3876 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or -74739984\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -2*i. Let m be (i + -1)\/((-1)\/5). Let u(s) = -45*s + 47. Let r be u(1). Solve -2*h + 0 = o + 1, -r*o + m*h = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 2\/462149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 5*t + 115. Is 15 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2*f - 3 = 3, 0 = 2*n - 3*f + 9. Suppose 5*x - 32 - 18 = n. Suppose 3*s + 2*o - 13 = 0, -2*s + 1 = -o - x. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, e: 1, r: 1, b: 1, k: 1, n: 1}. Give prob of sequence nb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -10 divided by 407?\nAnswer: -10\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 19 = 7. Suppose -5*j = -d*j + 33. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 888606?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-45))\/(8\/((-600)\/(-45))).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3\/5 + 33*k**2\/5 - 216*k\/5 + 80.\nAnswer: -(k - 25)*(k - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 237453289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191806 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8464?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s - 2. Let h be c(4). Let u be -2*(h + (-3)\/1). Suppose -11 = -k + u. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -u + 12. Let p(k) = -3*k**3 + 2*k**2 - 2*k + 2. Let n(y) = 16*y**3 - 11*y**2 + 11*y - 11. Let f be (-3)\/(-2) + 3\/6. What is f*n(r) + u*p(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 4324 = -3*v - 5*k, -2*v + 4*k + 2136 = 0. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.0427 - -0.1573. Which is the nearest to -2? (a) -0.1 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/(-30)*9\/48*6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 10*5.12\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 488076 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36*q + 59*q + 52*q + 44*q - 87*q + 2*q**2 to the form a + v*q + c*q**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -0*r + 5. Suppose -2*q - 9 = r*t, -5*q + 4*t + 4 + 23 = 0. Suppose 10 - 1 = q*x. Solve -6*f - 11 = -3*j - f, 0 = j - f - x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -0*g - g + o, -4*g - 5*o = -53. Suppose 15*w = 8*w - g. Let y = w + 51. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13.598597253 rounded to one dp?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i = 25 + 20. Solve -i*u + 14 = 3*v, 3*u - 4*v = 6*u - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -3*q - 3. Let t be (22 - 19)\/(1 - 2). Let o be k(t). Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -230 - -228. Let u be l*-1*(-18)\/(-3). Solve u*s - 3 = 9*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2424 is divided by 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 984*p**2. Let h(k) = -4608*k - 3. What is h(d(j))?\nAnswer: -4534272*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 1 = -5*i - 2*t, -4*i + 2*t = -12. Solve -i*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -14*i**3 - 15*i**2 - 1869*i. Let v(r) = 21*r**3 + 24*r**2 + 2802*r. Let l(n) = -8*a(n) - 5*v(n). What is the second derivative of l(x) wrt x?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 + 21 = -20*x - 19. Let s be (-14841)\/28 - (-2)\/7. Let w = 526 + s. Is w > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 15*f**2 - 9*f - 162. List the prime factors of c(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from {w: 1, j: 1, s: 3, k: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.055 - 0.455. Let r = -22 + 18.5. Let l = -1.5 - r. What is the nearest to 0.1 in q, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6 + 2)\/(1 + -2). Let n be (-4 + f)\/(1\/(-6)). Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 183095 is divided by 1327.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i = 1170 + 510. Calculate the highest common divisor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*w**2 - 34*w + 34*w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.1, 0.5, -533, 1, -0.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**2 - 5*q + 6. Let y be h(-5). Suppose -y*z + 146 = -4*z. Let d = 79 - z. Solve -d*m = -m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5602127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 1515938 by 16127.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {y: 6, n: 1, i: 1, g: 9}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**9*l)\/l)\/l)\/(l*l**(-2\/63)))\/(l\/((l\/l**5)\/l))**37 assuming l is positive.\nAnswer: l**(-13543\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 84 and 494970?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*r**2 + r - r)*(-2 + 1 - 1)*((-1 + 3 - 1)*(18 - 37*r**2 - 18) + 3*r**2 + r**2 - 5*r**2).\nAnswer: 380*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 3*a + 3*d + 32, d + 54 = 5*a. Suppose 0 = a*u - 7*u - 168. What is the greatest common divisor of 70 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 4*o + 12 = 0, -2*k + 2*o + 3*o = -13. Solve 2*m - 6 = q, q + 12 = -2*q + k*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2 and -98880?\nAnswer: 98879.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1456 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yymmmyzayyzmamxfmy. Give prob of picking 1 x and 2 m.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*p - 1121 = 12*p - 969 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -15*u**3\/8 + 81081*u**2\/8 - 56745*u\/4 + 4053 = 0.\nAnswer: 2\/5, 1, 5404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11 - -75. Suppose 4*z - a = -0*z. Suppose -3*s - v - z + 5 = 0, 4*s = -4*v - 28. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1aa3a5 (base 11) in base 3?\nAnswer: 121022200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: In base 15, what is -2 - ade?\nAnswer: -ae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 7768413 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hqdmh. Give prob of picking 2 h and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -131850 divided by -586?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be 204\/72 + 2\/12. Suppose k*h = 4 - 43. What is the units digit of (2*-1)\/(h\/52)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**3 - t**2 + 1. Let u(z) = 1 - 31*z**3 + 5 - 10*z**2 + 16*z**3. Let x(g) = 6*i(g) - u(g). What is the third derivative of x(v) wrt v?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the second derivative of 1\/2*m**2 - 1\/20*m**5 + 2\/3*m**4 + 0*m**3 - 8*m + 0. Give j(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 19 = 4*f, -5*f + 23*z - 25*z = -26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 5, b: 3, x: 1, z: 2, s: 5}. What is prob of sequence swsx?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 55786 (base 13) to base 9\nAnswer: 255654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.5 (b) 35 (c) 5 (d) 1 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-54) - 67\/105*115\/966.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/3)\/v)\/(v**(1\/2)*v)*(v\/v**(-4))\/((v\/v**(1\/8))\/v) assuming v is positive.\nAnswer: v**(55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/21 + (-7)\/(21\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 7584.83 millennia?\nAnswer: 75848.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1809 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0\/1 + 0 - -3. Suppose 0 = -v*t + 2*t + 14. Suppose 2*x - t = -3*f, 1 = -4*f - 4*x + 21. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 689207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 359 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11.32 - -11. Let o = -0.02 - x. Let j = -2.3 + o. Which is the second biggest value? (a) 3 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6316 is divided by 1017?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115*l - 55*l = 65*l - 246510. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*p - 18*p - 66*p**3 - 56*p**3 - p + 3*p to z*p**2 + k + m*p**3 + x*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 144, -2, 4, -9 in decreasing order.\nAnswer: 144, 4, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*q - 4*q**2 + 0*q + 5*q**2 - q**2 - 3*q**2 + (-2*q + 2*q - 2*q**2)*(2 - 4 + 1).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138039863.\nAnswer: 13, 10618451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*d**4*x + 1610*d**4 - 5*d**3*u*x + 483*d**2*u*x - 67*d*u*x wrt d.\nAnswer: -144*d*x + 38640*d - 30*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -3*c**3 - 10*c**2 + 8*c + 4. Let j(p) = -5*p**3 - 19*p**2 + 15*p + 7. Let f(b) = 4*j(b) - 7*o(b). Let v(r) = -5*r**2 + 3*r. What is -3*f(u) + 4*v(u)?\nAnswer: -3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 4:28 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 64 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14722*r**2 - 4*r + 2912 wrt r.\nAnswer: 29444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -a36c (base 14) to base 16\nAnswer: -6ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-6))\/(55\/(-99))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**3 - 3*j**2 - j. Let d be g(4). Let q = 21.7 - 16.7. Which is the second smallest value? (a) d (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 162926?\nAnswer: 2, 81463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 675 - 615.2. Let w = h - 67. Let a = w - -5.2. What is the closest to a in 3\/5, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 340, 345, 354, 367, 384, 405, 430?\n\"Answer: 2*g**2 - g + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 358, -3, 3.\nAnswer: -3, 0, 3, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 + 14. Suppose 21 = 3*i - 5*l, -l = n*i - 2*l - 13. Let b(p) be the third derivative of -p**4\/24 + p**3\/2 - 3*p**2. What is b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.19 + -0.18981. What is z rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o - 48. Let a be n(28). What is the hundreds digit of 8\/(-6) + a\/(-18)*-525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 48495.6?\nAnswer: 48498.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the first derivative of 223*h**3\/3 + 9*h**2\/2 + 2*h + 87. What are the prime factors of a(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/4)\/((-77826)\/(-7848)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -55*n + 55*n - 2*n**2. Suppose -6*a = a - 14. Let v(g) = -2*g**2 - g**2 + 6*g**a - 2*g**2. Give v(x(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 251106977.\nAnswer: 11, 22827907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180)\/sqrt(5))\/sqrt(12))**2 + sqrt(3)*6 + -3.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 6:47 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 3*h - 9 = 4*h, 2*w - 6 = 4*h. Solve -i = 2*i - w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 19873, 39539, 59205?\n\"Answer: 19666*j + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -18524 - 4058. Let m = 2418 - q. Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from csrrmfo. Give prob of picking 1 r and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = -4*t - 2009 + 1993, -3*t = -5*a - 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - 10. Let u be 0 - 0*(-5)\/(-20). Which is the closest to -3? (a) i (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 401 = 3*r, -4*n - 61 = 2*r + 205. Suppose -1112 - 123 = 5*u. Let o = r - u. Calculate the highest common divisor of 32 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of 5*b**4\/12 + 35*b**3\/3 - 667*b. Factor c(y).\nAnswer: 5*y*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -49*k**2 - 2*k - 2. Let r be d(-1). Let j = r + 62. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.513, -4, 0.72, -6, -3 in descending order.\nAnswer: 0.72, -1.513, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -478 - 482 - 479 + 1439 + 48*i**3.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -283.931, -1\/12 in descending order.\nAnswer: -1\/12, -5, -283.931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2667 + -24023\/9. What is the common denominator of w and -89\/357?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**5 + 0*k**5 + 2*k**5 + (6*k**4 - 5*k**4 + 8*k**4)*(-1 + 1 - k).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 3 = 6. Suppose 3 = -0*t + t, -b*d - 5*t + 123 = 0. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 5*i**2 + 3*i + 6. Let j(p) = -4*p**2 - 4*p - 7. Suppose 3*r + 183 = 171. Let d(w) = r*j(w) - 3*x(w). Factor d(v).\nAnswer: (v + 2)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 203 + -200. Suppose 0*t - 3 = -t. Differentiate 98*c**y + 96*c**3 + 2 - 201*c**t wrt c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 145253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/15 - (-16)\/10. Suppose 6*n - 28 = l*n + 2*o, 5*n - o - 38 = 0. Let r be n\/20*(-10)\/(-16). Sort -2, r, 3\/4.\nAnswer: -2, r, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10*(85\/10)\/(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {u: 2, v: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*s**2*u**3 + 74265380*s**2*u + 15*s*u**3 + 5*s*u**2 - 5*s*u - 155*s + 3*u**2 - 2*u wrt s.\nAnswer: 4*u**3 + 148530760*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8\/5 (b) 1\/9 (c) 14246\/3 (d) 1\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + (31 - 8) - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -23 + 25. Suppose y*w = -7*w + 54. Let r be 12\/(-2)*(-3)\/w. Solve -2*k - r*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -10*s**2 - 4*s + 2. What is f(3)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 33*b. Let v(q) = -1341*q**2 - 6*q. What is v(f(g))?\nAnswer: -1460349*g**2 - 198*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -4*l - l + 37, 5*l - x = 22. Suppose l*j + 15 = 0, -7*m - 4*j = -3*m - 8. Solve m*d = d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2617223 grams in milligrams?\nAnswer: 261.7223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2210753 (b) 8 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**2 - 75*b - 1757. Calculate the remainder when 6404 is divided by o(-19).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 5*f + 10598 = 5*o, 2 = 2*o. Suppose -f - 2537 = -4*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/3, 2\/5, 3\/5, 0.9, -18.605, -2, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 29565, 59083, 88553, 117975, 147349?\nAnswer: 176675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000853 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the second derivative of 185*f**7\/42 + f**4 - f**3\/3 + 2*f - 116. Find the third derivative of q(k) wrt k.\nAnswer: 11100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1050150 is divided by 1119?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 3*v**3 - 8*v**2 - 13*v + 109. Let t be k(3). Which is smaller: 80 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes after 8:07 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 - (-8 + 9 + -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 3*z**2 + 4*z + 4. Let o be c(4). Suppose -o*m = -5*m + 5. What is the least common multiple of 7 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*s - 4 = 41, -100 - 16 = 2*u - 24*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -2*u**3\/5 - 684*u**2 - 1434306*u\/5 + 23832608\/5 = 0.\nAnswer: -863, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of -3*d**8\/28 - 11*d**4\/12 - 8*d. Find the third derivative of g(m) wrt m.\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 - 4*n + 2. Let f be g(4). Suppose -3*x = 3, -2*v + 4*x - 4 = -8. Suppose 7*u + v = 28. Solve -4*b = i + 5 - f, 0 = -5*i - b + u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -17 + -760. Let j = 777.807 + x. What is j rounded to two dps?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-2))**(31\/4) assuming u is positive.\nAnswer: u**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.5 - 4.5. Let u = -1 - k. Which is the closest to 0? (a) u (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -288 + 290. Suppose 0 = -5*x + 9*x + 4, 12 = 7*n + u*x. Which is the nearest to -1? (a) 44 (b) -1\/2 (c) n (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 300100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -483 - -736. Let d be (-5)\/15*20376\/(-24). Suppose -5*h - d = -4*m, 0*h - 5*h + k = 4*m. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1\/10, 0.1, 4, -60?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 150 - 1348\/9. Is y greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + 4*l - l + 12, 2*l + 9 = -m. Sort 3, m, 2.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1, 0, 13, -1, -6, 1555 in increasing order.\nAnswer: -6, -1, 0, 1, 5, 13, 1555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 3*x + 28. Suppose -3*y - x*y = -160. Calculate the least common multiple of y and 2\/5 - (-406)\/35.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002504624024 rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 14) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 + (-14)\/5)*10\/(-4). Suppose 3*r + r = l*k - 26, 4*k - r = 24. Solve -k*m + 24 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the first derivative of 2*k**5\/5 - k**4 + 2*k**2 - 2*k + 4. Factor t(o).\nAnswer: 2*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1540, 1657, 1852, 2125, 2476?\n\"Answer: 39*p**2 + 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2946 and 5.\nAnswer: 14730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be (40\/80)\/((-2)\/16). Let f be ((-21)\/(-189))\/(1\/(-3)). Which is the third smallest value? (a) o (b) 5 (c) f (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13 + 3 + 1 + 9 + 3396*f - 3*f**2.\nAnswer: -3*f**2 + 3396*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59808008.\nAnswer: 2, 13, 575077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-80)\/(-5)*2)\/(-1). Let m(u) = -u**2 - 36*u - 108. Let j be m(b). Solve 6*d = d - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 524891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -113 - -112.913. Let f = n - -0.087. Which is the fourth biggest value? (a) f (b) 5 (c) -2\/11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.51 + 0.49. What is the closest to 1 in l, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*sqrt(396) - sqrt(44))\/(sqrt(20)\/sqrt(80)))**2 + -2.\nAnswer: 34494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*j + h, -8 = -3*j - 6*h + h. What is the lowest common multiple of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -6 * 0.5375.\nAnswer: -3.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 PM and 8:12 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(192) - (sqrt(192) - (2*sqrt(192)*-6 + sqrt(192)))**2 - (sqrt(192)*1 + -3).\nAnswer: -27645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*u - 22*u - 11*u)*(0 + 0 - 2)*(-4*u**2 + 3*u**2 + 2*u**2) to the form m*u**2 + v*u**3 + h*u + d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19444127, 19444126, 19444125, 19444124, 19444123, 19444122?\nAnswer: 19444121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10*l*v**5 - 31106*l*v**2 + 511*v**5 - v**2 wrt v?\nAnswer: -600*l*v**2 + 30660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -23, -55, -81, -95, -91, -63, -5, 89?\n\"Answer: b**3 - 3*b**2 - 30*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-8)*(-4)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(6*(-3)\/780)*1. Let q = 123 - a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 + 2*z**2 + z + 21. Calculate the remainder when p(0) is divided by (-22)\/4*(-7 + 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2. Let n(k) = 2*k - 1. Let s(w) = w**2 + 10*w + 5. Let v(j) = -5*n(j) - s(j). Calculate v(b(g)).\nAnswer: -g**4 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - r)*(1 + r - 1)*(18962 - 18962 + 93*r).\nAnswer: -93*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, v: 18}. What is prob of sequence ovvv?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 - -6. Let v be -18*(-3 - -2) + -2. Suppose -6*i + 2*i = -v. Which is the closest to q? (a) -1 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 383543237*t**2 + 365777818*t.\nAnswer: 767086474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1 times -49.1\nAnswer: -49.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 3*o**2. Let c(y) be the second derivative of -5\/12*y**4 + 0*y**2 + 5*y + 0 + 0*y**3. Let q(d) = 4*c(d) + 7*f(d). Let p(z) = -z. Determine p(q(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 27082 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 6*y - 51. What is the remainder when 239 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, x: 2, u: 2}. What is prob of sequence uwu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -6*j**2. Let c = -9 + 12. Let d(k) = 3 - 2*k - c - 2*k. What is d(r(a))?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - -2 - 4) + (-21 - -20) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 165878*c**3 - 26*c + 1923 wrt c?\nAnswer: 995268*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21.042 + -0.042. Let h = 3135.24 - 3135.54. Sort -1, h, d, -1\/8.\nAnswer: -1, h, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3795690 to the nearest 10000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 2*t + 47 = 2*l, 0 = -2*t + l + 22. Suppose -11*s + t*s = -14. Let d = 32 - s. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 19769*f*k*u**3 - 18*f*u**3 + 30*k*u**3 + k*u**2 - 2043*u**3 + 2*u**2 wrt f.\nAnswer: 19769*k*u**3 - 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express i**3 + 1 - 1 + (i**3 - 3*i**3 + 0*i**3)*(3 - 3 - 1) + (2*i**2 + 2*i**2 - 5*i**2)*(-9*i - 6 + 6) in the form j*i**3 + l*i + o + a*i**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3*x - 7, 0*f - 25 = 5*f + 3*x. Let j(n) = -4*n - 29. Let k be j(f). Solve -k*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -765, -1558, -2373, -3210, -4069, -4950, -5853?\nAnswer: -6778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 362189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**3 - 17*v**2 - 21*v - 43. Let j be p(18). Let i = j + 101. Solve -i*k = -2 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l - 6*l + 3. Let q be l - 0 - -3 - -1. Suppose 0 = 4*n + h - 10, -3*h - 21 = -q*n - 0*h. Solve j + 4 = n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t**2 + t**2 - t**2 + (39*t - 15 + 15)*(4*t + 2*t - 5*t) - t**2 + 2*t - 2*t as y*t**2 + b + r*t and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 2) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4187357 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 203 - 137. Let d = c - 63. What is the second biggest value in d, -2\/3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) -5 (b) -30 (c) 2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/(-1) + 2 + 8. Let r be (k + 2)\/(-3)*1. Let n = r + 5. Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -41 - -53. Suppose m - 6 = -f. Let g(p) = 3*p - 6. Determine g(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35931307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 52731 < 52735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-7)\/28)\/(1\/(-8)). Let x(y) = -y**3 + 17*y**2 - 4 - 3*y + 32 + d*y**3. Is x(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -22*c*f**3 + 3*c - 4*f**3 - 213 with respect to c.\nAnswer: -22*f**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of -1681*y**5\/5 - y**3\/3 + 8*y**2 - 86*y - 5579. Find the third derivative of o(p) wrt p.\nAnswer: -40344*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = 5*y + 101. Let d(u) = -u**3 - 8*u**2 - 6*u - 9. Let g be d(-7). Let j = g - y. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -610571*s - 280563*s + 63950*s.\nAnswer: -827184*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -64 - -40. What is the remainder when 72 is divided by (-1 - (-2 + b))*1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28745107 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 2*j**3 - 22*j**2\/3 + 8*j - 8\/3 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 9*v + 6. Let a(x) = 17*x + 12. What is 4*a(y) - 7*n(y)?\nAnswer: 5*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 22275632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -476 - -343?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 49220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/35 (c) 0.1 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 + 7. Suppose -5*q = -x - 14. Suppose -k - i = -10, -2*k + q*i + 10 = -0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*h = -21*h - z + 54, -3*z = 5*h - 262. Suppose 0 = -4*g + 14*g + h. Sort g, -4, -2, 1.\nAnswer: g, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 1 - 4 = 0. What is the smallest common multiple of l and 22\/10 + 3\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 2\/11*v**3 + 18\/11*v + 20\/11*v**2.\nAnswer: 2*v*(v + 1)*(v + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -384 + 1558. Let t be r\/3 + 3\/(-9). Suppose -t = -3*a - y, y = -0*y - 2. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -53 divided by 15394?\nAnswer: -53\/15394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 + 4*x - 2. Calculate l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 428395.\nAnswer: 5, 11, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*(0 + -1) + 11. Let d(f) = f - 1. Let q(u) = -7*u - 18. Let x(z) = 5*d(z) - q(z). Is x(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -28244*s + 112330. What is k(4)?\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -6. What is d rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) -4 (c) -2\/31 (d) 0.01 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -51*d**3 + 902*d**2 - 3190*d - 1541. Let h(b) = 280*b**3 - 4964*b**2 + 17544*b + 8476. Let i(l) = 5*h(l) + 28*v(l). What is f in i(f) = 0?\nAnswer: -3\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*f = 494078 - 105781. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2 = -0*n. Let b = 3 - n. Suppose -b*c + 12 = -3. Solve 0 = c*t - 4*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 5*(sqrt(27) + -4) + (sqrt(36)\/(sqrt(12)*-4) - (sqrt(3) + -4 + -3)).\nAnswer: -9 + 55*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 2*o**3 - 3)*(1 + 4 - 6)*(15 + 2 + 5) in the form t + f*o**3 + m*o + x*o**2 and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -489.20007247 - -489.2. What is y rounded to six dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11018*h**3 - 6920*h**3 - 35418*h**3 - 13951*h**3.\nAnswer: -67307*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -2*p**3 - 6*p**2 + 6*p - 3. List the prime factors of f(-5).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 28 and 2324.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c + 57 - 27. Suppose -5*d + 3*d - c = 0. Let w(r) = r**2 + 2*r - 11. Let p be w(d). Solve 2*j = -3*t - 8, -p*j = 5*t - t + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(-16)*p\/(p\/p**8))\/(((p**(-2\/5)*p)\/p)\/p*p)**(-10) assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0058978 rounded to five dps?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 57 - 45 = 0. What is the least common multiple of z and -4 + (-6 + 2 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*g + 1616 - 32. What is the highest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of -u**4\/12 - 5*u**3\/6 + 2*u**2 - 7*u. Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 40465751 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-30)\/20*(66\/18 - 5). Solve 4*u = -o*b - 8 + 18, 2*u = -2*b + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in 80 - 12*f**2 + 3873*f - 1908*f - 1921*f = 0?\nAnswer: -4\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00049513 rounded to 6 dps?\nAnswer: -0.000495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 6*r = -h + 62, -h + 5*r + 17 = 0. Suppose 0 = 4*q + 22 - h. What is the remainder when 6 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63654 rounded to the nearest 1000?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -375, -1762, -4557, -9138, -15883, -25170, -37377, -52882?\nAnswer: -72063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 1 = c - 4, 23 = 3*c + v. Suppose -6*d + 4*d + 4*l + 26 = 0, -5*d - l = -10. Calculate the remainder when c is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1083178?\nAnswer: 2, 541589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 123 - 51*a**2 - 12*a**2 - 20*a**2.\nAnswer: -83*a**2 + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 66881249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1696975591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7845550 is divided by 216?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -10*d + 11. Let x(g) be the third derivative of g**4\/6 + 3979*g**2. What is x(z(t))?\nAnswer: -40*t + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -28522, -28523, -28524, -28525, -28526?\n\"Answer: -x - 28521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1256477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-1 - (4 + -7) - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 1 + 0)*(-5 - 1 + 4)*(381*a**2 - 173*a**2 - 182*a**2) to the form b + n*a + o*a**2 and give o.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.2 + -1. Let g = 0.51 + -0.61. Which is the nearest to 1\/3? (a) -1\/6 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 + 2*h - 1. Let y be q(-3). Let p be (25\/y)\/(1\/4). Suppose w - 15 - 19 = -4*v, p*w = 2*v - 28. What is the remainder when 26 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 285788 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20198*r**3 - 20229*r**3 + 40517*r**3.\nAnswer: 90*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 k when three letters picked without replacement from efveefefekkeeeeiikei?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 17*w - 152 + 5 - 32 = 12*w, 2*w - 5*w - 43 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -10. Suppose 6*s - j*s = -3*b + 353, -b + s = -115. List the prime factors of (-2)\/(-7) + 12461\/b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h**2 - 3*h**2 + 0*h**2)*(-1 + 4 - 5)*(h - h - 2*h**2).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 5*x - 19 = 0, -2*b - 7 - 3 = 2*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -3*z - 5*w, 0 = -4*z - 5*w + 2*w + 7. Sort z, 3, 4.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z - 2 + 2)*(-1 + 1 + 1)*(-4680 + 2404 + 2506).\nAnswer: 460*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*d - 258*d - 4067 = -96*d for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 31434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-1374 - -1317)\/(-4 + -1 + 4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 7*d**2 + 76*d - 13. Give v(-4).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 + 12*k**2 - 5*k - 46. Calculate r(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -73268 divided by -5636.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - -19) + (7 - -10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -254*z - 48516. Determine d(-191).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/(sqrt(8)\/(-2*sqrt(4)) - sqrt(2)) + (4 + sqrt(11) + sqrt(11) + 1 + -1)**2.\nAnswer: 46*sqrt(11)\/3 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 141167998 by -29.\nAnswer: -4867862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-86)\/4)\/((-5)\/104*52).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 419366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -17 + 3*r + 30 + 4*r - 10 - 4*r - 5*r**2 as c*r**2 + h + i*r and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1649099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -54 - (92 + -132 - -21)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 2*t = 157, -4*t + 9*t + 323 = -2*o. Let d = -160 - o. What is the closest to 11 in 1\/5, -3, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 2*x**3 + 7*x - 13. Give g(3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 107148 by 3.\nAnswer: 35716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 226601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5808 - 5693. Solve -105*n + 20 = -r*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1774\/2 + 149 + -143. Calculate the highest common factor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -8*s**3 - 6*s**2 + 3*s. What is the tens digit of l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -12*h**2 - 2*h - 3. Let n(l) = -13*l**2 - 2*l - 4. Calculate -4*k(w) + 3*n(w).\nAnswer: 9*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 8. Let g = -2 - d. Which is the nearest to -2? (a) -0.4 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**2 + 2. Let w(j) = -j**2 + 6*j - 8. Let p(t) = t - 1. Let y(n) = 5*p(n) - w(n). Calculate -3*b(k) + 2*y(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 + 5*p**2 - 6*p + 2. Let a be h(-6). Suppose -g + a = 1. Is 13 a factor of 2 - 3 - (g - 28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the first derivative of v**3 + 23*v**2\/2 + 62*v + 69. Let o(i) = 3*i**2 + 24*i + 60. Let z(a) = -7*o(a) + 6*q(a). Factor z(s).\nAnswer: -3*(s + 2)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**2)**(4\/9)*y**(-5)\/y*((y\/y**(-6)*y)\/y)\/y)\/((y**7\/y)\/y*y**(-5\/2)*y)**(-43) assuming y is positive.\nAnswer: y**(2725\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 30208.12 kilometers in centimeters?\nAnswer: 3020812000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-6 - -4)*(0 - -4). Let b be (h - 2)\/((-132)\/6). Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 7, 0.01, -1\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 5*t = 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -38, 13, -1, 0.6, -0.15?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**2\/5 - 1376*a\/5 + 4092\/5.\nAnswer: 4*(a - 341)*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -707387096 divided by 1954108\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*i - 12189 = -110*i. Does 37 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 36 - 883)*(3 - 1 - 3)*(3 - 6 + 2)*(-2 - 3*q + 2) as j + k*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -599.42 to zero decimal places.\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -789*f**4 - 535*f**5 + f - 455*f**5 + f**3 + 793*f**4 + 191*f**2 - 270*f**5 - 6 wrt f.\nAnswer: -75600*f**2 + 96*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = -2*o, -22 = 16*r - 2*o - 3*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and -19.8.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the third derivative of 11*a**4\/6 - a**2. Let s be t(-1). Is ((-2)\/(-4))\/((-2)\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 204.1305 meters in millimeters?\nAnswer: 204130.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -298 - -434. Suppose -29*t - l = -31*t. Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*v**2 - 13*v + 5*v + 8*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 229*d**2 - 15*d + 7. Let t be s(-7). Suppose 0 = -k - 2*r - 6106, 3*k + r + t = -6970. What is k rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 21*i**2 + 190*i - 816. Let d(p) = 12*p**2 + 96*p - 408. Let w(l) = -5*d(l) + 3*k(l). Factor w(x).\nAnswer: 3*(x - 4)*(x + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*d**2*s**3*y + d**2*s**2 + d**2*s + 484488247*d**2*y + 479332*d*s**3 + d*s - 12*s**3 wrt y.\nAnswer: 2*d**2*s**3 + 484488247*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2720 + 2720 - 2431*u - 3*u + u + 4*u + (-1 + 0 - 1)*(-u - 1 + 1) + 2*u + 2*u - 2*u to the form w*u + d and give w.\nAnswer: -2425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of 3*p**2\/2 - 8. Let i(o) = -o - 6*o**2 + o - o**2. What is i(c(g))?\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/118 + (-10100)\/53631.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 take away 122218?\nAnswer: -122199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the third derivative of -3*p**4\/8 - 4*p**2. Let t(v) = -v**2 - 2*v. Let l(q) = 13*q**2 + 22*q. Let z(k) = 2*l(k) + 22*t(k). Calculate a(z(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 51.0882 nanometers?\nAnswer: 0.0000510882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5 + 0 - 120\/(624\/(-26)). Let k be (-7)\/(-69) - (-1)\/3. Which is greater: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 4*o + 39, -4*c - o - 3*o - 32 = 0. Let w be c\/28 + (-17)\/(-4). Suppose -2*k - 3*k + 15 = 0. Solve k*n = w + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 5*g - t, 2*g + 10 = -t + 3. Let v = 0 - g. Suppose 0 = 3*u - 1 - v, -z - 3*u + 15 = 0. Calculate the remainder when 35 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 30 = -2*k - 3*k, 18 = -3*v - 3*k. Let d be (0 + -5)*(-8)\/v. Let n be (6\/d)\/((-2)\/8). Which is smaller: n or 7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the first derivative of -2\/15*m**3 - 8\/5*m - 4\/5*m**2 - 26. Find h such that v(h) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -54, -28, 42, 180, 410, 756?\n\"Answer: 4*d**3 - 2*d**2 + 4*d - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 722880 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 + 724\/(10 - 6). Suppose c*p - 187*p = -48. Suppose 0 = 3*r - 6 - 3. What is the smallest common multiple of p and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*22\/44*(-15)\/27.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (13 + -1 - -2) + -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -101010100101 (base 2) to base 6\nAnswer: -20341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 300 and 1850?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 8*l**2 + 4*l + 28. Calculate the remainder when x(-7) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/7)\/((-136)\/(-119)). Let 0*k + 1\/4*k**2 - c*k**3 + 0 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4\/7, 1\/2, -30.1, -1 in decreasing order.\nAnswer: 3, 4\/7, 1\/2, -1, -30.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2, -0.3, -2\/13 in descending order.\nAnswer: 4, 2, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 362269753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 2*c**3 + 3*c**2. Let m(o) = 2*o**2 + 0*o**2 + 4*o**2 + 3*o**3 - 2*o**2. Give -4*d(l) + 3*m(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 2*o**2 + 47*o + 97. Give s(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 126.913 + -127. Let h = -3.187 - s. Let q = 2.2 + h. Which is the smallest value? (a) 0.5 (b) q (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 26263\/192?\nAnswer: 26263\/192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:27 PM and 11:31 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40685 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*s - 1174*s**3 - 1147*s**3 + 16*s + 2318*s**3 - 30*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -9*b + 11. Let q(r) = r - 1. Let h(u) = -6*q(u) - w(u). Differentiate h(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7248*p - 10678*p - 9682*p + 32963*p to i + m*p and give m.\nAnswer: 5355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**3 - 2*t**2 - 41*t - 172. Determine d(10).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 30 (base 4) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together -12201766472120 and -1.\nAnswer: -12201766472121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 16.926 times 377?\nAnswer: 6381.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24*23.5.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 222? (a) 47\/2 (b) -5 (c) -2\/15 (d) -1\/8 (e) -10 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-104)\/(-650) - 2\/5)*-39*285\/(-494)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from quxxjjuuujujxvu. What is prob of picking 1 q and 1 j?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 9 + -2d654?\nAnswer: -2d64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14459*z**5 + 35*z**3 - 246603*z**2 wrt z.\nAnswer: 867540*z**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-44 - 12 - 94 - 117)*(-3*u - u + 2*u).\nAnswer: 534*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 2021608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + 11 = -s + 2*a, -a + 19 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 4*r = -18, 0*b - 2*r = -b + 6. Solve 0*d + i = 2*d - 4, b*i - 20 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -46\/3 + 187\/12. Let y = 19.2 - 20.09. Let t = y + -0.11. What is the third smallest value in f, t, 0.03?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-9)\/3)\/(6\/(-8)). Suppose 1 - j = -p. Suppose -2*v + p*v - 70 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1889*f**2*z**3 - 2*f*z**3 - f + 5200*z**2 wrt f?\nAnswer: -3778*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*t, -t = y - 2*t - 2. Let m be 4 - y - (-2 + 1). Solve -3*c + 3*n - 12 = m*n, 0 = -2*c - 2*n - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1028806 divided by 2.\nAnswer: -514403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 39*z**4 - 2*z**3 - 571*z**2 - 122599*z wrt z?\nAnswer: 468*z**2 - 12*z - 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/((d*d**(-2\/9))\/d))\/d)**(-9\/4)*(d\/((d\/(d*d**(-2)))\/d))**29*(d**(-9)\/d*d*(d\/(d*d**(-10)))\/d)**(44\/7) assuming d is positive.\nAnswer: 1\/sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 89 - 4 - (-1 + 2). Let r be ((-1)\/3)\/((-2)\/c). Suppose -g = 5*i - 22, 2*i - g - r = -2*i. Solve -5*f - u = 29, 3*f + 11 = -3*u + i*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**2 + 10*r + 9. Let z(d) = -2*d + 4. Let o be z(7). Does 4 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**7*x\/(x**(1\/4)\/x))**(36\/7) assuming x is positive.\nAnswer: x**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0063 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 48818\/(-44)*(-2*5 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1459534561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -23*g**2 + 6*g - 5. Let x(j) = -24*j**2 + 5*j - 4. Calculate -5*h(r) + 6*x(r).\nAnswer: -29*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of 0*q**3 + 93*q**2 + 0*q**7 + 0*q**6 + 0*q**4 - 13\/60*q**5 + 1\/14*q**8 + q + 0. What is the third derivative of w(u) wrt u?\nAnswer: 1440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10674 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the second derivative of m**7\/28 + m**6\/4 + 3*m**5\/5 + m**4\/2 + 192*m - 4. Factor o(j).\nAnswer: 3*j**2*(j + 1)*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10396241 or -10396217?\nAnswer: -10396241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, e: 1, g: 2, b: 3, l: 1, p: 1}. Give prob of sequence gg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 96 and 27366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 17257204 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 15*k - 10. Let w(o) = -o**2 - 12*o + 1. Let m be w(-12). Let y(n) = n - 1. Let r(j) = m*t(j) - 10*y(j). List the prime factors of r(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 - -8. Suppose 82 = 2*s - m - 2*m, -138 = -3*s - o*m. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 6 = -2*u, 0 = 2*u - 0*u - 2*j. Let r(c) be the third derivative of -c**6\/120 - c**5\/60 + c**4\/8 - c**3\/2 - c**2. What is r(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y + 2. Let s(l) = 2*l + 1. Let u be s(4). Let i be 0*(1 + 0) - -1. Let b(w) = -u - 4*w - i + 2. What is 2*b(o) + 9*c(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -4*a - 8. Let q(r) = 17*r + 32. What is 2*q(p) + 9*u(p)?\nAnswer: -2*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 48472.15 decades in centuries?\nAnswer: 4847.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(432) + (sqrt(432) + -1 + sqrt(432))**2 + 4.\nAnswer: -36*sqrt(3) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 8*g - 12*g + 670, -2*g = 5*i - 305. What is the highest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 767, 1802, 3563, 6062, 9311?\n\"Answer: 2*k**3 + 351*k**2 - 32*k + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13415 is divided by 496?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1790730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 2*k**3 - 183*k**2 - 191*k - 264. Does 9 divide h(93)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -991, -1079, -1167, -1255?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -89283.36 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.0182 - 1.9818. Sort -3, -0.1, 1.9, f in decreasing order.\nAnswer: 1.9, -0.1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 5, j: 2}. What is prob of sequence juuu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -363*g + 317 - 163 - 808*g - 154.\nAnswer: -1171*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 28257 (b) 8 (c) -0.2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 11 (b) -5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 87517, 175206, 262895, 350584?\n\"Answer: 87689*z - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -680567118 divided by 5453.\nAnswer: -124806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-24)\/50*1585\/634)\/((-2)\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -4*n**2. Let x(l) = l**3 + 8*l**2 + 2*l + 18. Let t be x(-8). Let z = -2 + 4. Let u(f) = -z*f + 6*f - 3*f + t*f. Determine u(w(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -2.92, -1, -0.1 in decreasing order.\nAnswer: -0.1, -1, -2.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqgqqgqqqqqaqqagqaq. Give prob of sequence aq.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 6*a - 59. Suppose -4*u + 60 = 2*u. Let r be v(u). Is -7\/38 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + l + 22 = 0, -n + 59 = 2*n + 5*l. Let f = -44 + 20. Let j = n - f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23653333519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4740372492 plus 5.2?\nAnswer: -4740372486.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9734683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = 366*l - 357*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 606*f - 41868 = -343*f + 1786 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/634 and 57\/1317334?\nAnswer: 417594878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1062 + -939. Let m = 9 + -8. What is the remainder when o is divided by 42\/m + (-2 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -101 + 103. Suppose 0 = -r + 4*q + 1, -d*r = 6*q - q - 15. Solve 4 = 4*c, -2*o - 2*c = -7*c - r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3489a + -24?\nAnswer: -34902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -491*1\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 4899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 23 = -3*z, 10 = 2*n + z + 1. Suppose -50 = -n*y + 25. Solve 5*c - 5*l = -y, -l - 3*l = -c + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = q + q. Let a be 26\/8 - (-3)\/(-12). Suppose -42 = -q*l + a*l. Calculate the highest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.05 and -0.416?\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 450040934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -3\/7, -2, 4, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4 - (9 + -3))\/1. Let r = p - -13. What is the greatest common divisor of 42 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 515592 by 42966.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -293 - -187. Find the common denominator of (g\/20)\/((-3)\/6) and (-2)\/(-5) + 164\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = 16 + 24. What are the prime factors of (2\/2)\/(g\/1970 + 0)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -547600 times 2.1\nAnswer: -1149960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of 3*t**5\/20 + t**4\/2 - 5*t**3\/6 - 2*t**2 + 20*t. Let n(l) = -l**3 - l**2 + l + 1. Let w(y) = -g(y) - 4*n(y). Factor w(u).\nAnswer: u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 3)*(3 - 3 + f)*(9 - 1 + 4) + (1 - 2 + 10)*(2*f + 3*f - 3*f).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/5)\/((-15)\/(-50)*-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2000, 1997, 1994, 1991?\n\"Answer: -3*r + 2003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62*q**3 - 2*q - 362*q**2 - 56*q**3 + 114*q**3 + 362*q**2.\nAnswer: -4*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -391652, -783304, -1174956, -1566608?\nAnswer: -1958260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 4*h**2 + 1. Let z be s(1). Suppose 4*m + 3*p = 28, -5*m + z*p = -0*p. Suppose m*q - 8643 = 5*k, -q + 10791 = 4*q - 2*k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1228551 and 45456387?\nAnswer: 45456387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 30*t**4 - 813*t**3 - 1665*t**2 + 336*t + 348 = 0.\nAnswer: -2, -2\/5, 1\/2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1418362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2569322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3*-1*2\/(-3). Let r be (u + (-14)\/6)*-3. Let s = -49\/18 - -5\/2. Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the first derivative of l**4\/3 - l + 3. Let b(x) be the first derivative of h(x). Let m(z) = 6 + 2*z - 1 - 3 - 2. What is b(m(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000057092 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 262 + -258. 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: What is the value of (16 - -1) + (8 - 22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a + 17. Let j be z(0). Let d(h) = -h + 5. Suppose 5*t + 5*c = 25, -t - 15 = 4*t - 3*c. Let g be d(t). Solve 3*r - g + j = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (65\/416*16)\/((-5)\/(-14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6204707\/102 - -60829. What is the common denominator of -31\/369 and g?\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the third derivative of -5*l**4\/8 - l**2. Let f(v) = -v**2 - v. Let j(k) = 10*k**2 + 8*k. Let z(x) = -8*f(x) - j(x). Calculate z(r(n)).\nAnswer: -450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9*o*u**3 - 278*o*v + o - 98*u**3*v - 2*u*v - v wrt u.\nAnswer: -54*o*u - 588*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 16322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (-12 - ((0 + -1 - -3) + (-7 - -10)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**3 + 7*o**2 - 10*o - 15. Let y = 19 + -27. Let f be a(y). Solve 0 = j - f + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5\/34? (a) 0.118 (b) -3\/98 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 9 = -5*m, 3*k - 5*m = 5*k + 1. Let -6*v**2 + 9*v**2 - 10*v - k*v**2 - 22 + v = 0. What is v?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40848 is divided by 4084.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 299*x + 2562*x + 1508*x - 415*x + 15816 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5)\/(-4)*(-4)\/(-1). Suppose -4*c + 5 = 2*s - 13, -3*s = -5*c - p. Suppose -31 = s*r - 156. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6443058 and 1788?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 2528*k - 38 = 2531*k, 0*p - 5 = -5*p + 4*k + 29 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -309, -651, -1023, -1425, -1857?\nAnswer: -2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l + 2*u - 6, -3*l + 16 + 2 = 3*u. What is the derivative of 86 - 250*i**3 - 446*i**3 + i**l + 505*i**3 - i**2 wrt i?\nAnswer: -573*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -3\/2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2) + -2*sqrt(8) - (-2*sqrt(18))\/sqrt(9).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - 16. Let h be (3\/v)\/(1\/4). Which is the biggest value? (a) h (b) 5\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3447730.\nAnswer: 2, 5, 11, 13, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3*(-4)\/(-36) + (-5)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 + 10*z**2. What is a(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*h + 39 = -22*h - 573 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 295167 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 56*s + 51*s + 54*s + 56*s - 216*s. Let b(f) = 4*f**2 + 4. What is b(z(r))?\nAnswer: 4*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.5 (b) -2.33 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 87246 divided by 2358?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 12681*d = 12369*d - 1872 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 285447.\nAnswer: 3, 17, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, e: 6, n: 8, f: 3}. What is prob of picking 1 w and 3 n?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -199\/2 (b) -6\/7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 6160, 12278, 18406, 24550, 30716, 36910, 43138, 49406?\n\"Answer: v**3 - v**2 + 6114*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.7 + 4.3. What is the closest to -2 in 3, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1215753 and 11728?\nAnswer: 1204025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -702 + 703 + 266*j + 1039*j to z*j + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -176 + 241. Suppose -12*z + 20*z = 136. Calculate the remainder when x is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2 + -1522.\nAnswer: -1521.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*f + 3*f - 2*f + 3 - f - 3 + (-1 + f + 1)*(0 + 0 - 2) - 3*f - 2*f + 3*f - 2 + f + 2 + f + 2*f - 2*f + 0*f + 0*f - f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 9*x + 20. Let d = -2 + x. Find the second derivative of d*s**4 + 3 + 3*s + s**4 - 3 wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/43596936 and 73\/7266156.\nAnswer: 43596936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.9 + 0.83. Let r = 957.3 - 957. What is the second smallest value in -0.3, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 39\/42 - (9 + (-120)\/14). Let o(y) be the second derivative of 0 + 0*y**2 + z*y**3 + 34*y. Let s(m) = -25*m**2. Calculate s(o(b)).\nAnswer: -225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 59128 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 43611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -15 (b) -1\/333 (c) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 454039, 1816162, 4086365, 7264648, 11351011, 16345454, 22247977?\nAnswer: 29058580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - -1a698?\nAnswer: 1a69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, g: 2, n: 1, l: 1, k: 1, u: 1}. What is prob of sequence zk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 215456*t**2 + 17*t**3 - 215456*t**2.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 371514 is divided by 3019?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 655 (base 14) to base 12.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2444 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - 0. Suppose l + 7 = -s. Let i(j) = -j + 13. Let k be i(l). What is k rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 548 divided by -16409.\nAnswer: -548\/16409","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let y be (-6 + 6)\/(6*(-2)\/4). Suppose -3*v - 49 + 52 = y. Solve 4*u - 5*t = -45, -3*u - v - 19 = -t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3374 = 15*t - 8*t. Let i = t - -487. Solve -15 = -i*a - 5*u, 2*a + a - 2*u = -11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 + 9.25. Let s = w + -0.16. Let d = 0.090002 - s. Round d to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2*y**2 - 5*y. Let x(g) = -g**2 - 3*g. What is -s(k) + 3*x(k)?\nAnswer: -5*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -200, -254, -304, -350, -392?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 703 + -407. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 29 = l - 34, 0 = -2*l - 3*c + 65. Solve -r + 27*p - 23*p - l = 0, 5*p - 20 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 15251 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3609*c - 8 + 8 + 3802*c.\nAnswer: 193*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/2*(-540)\/(-800)*-10.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the second derivative of -l**7\/280 - l**3\/6 - 6*l. Let o(h) be the second derivative of k(h). Factor o(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 8145*v**2 - 56896*v - 824. Calculate l(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2819 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-92)\/276*-2*63\/196?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3357 is divided by 211.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**2 + 6*x - 9. Determine u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -1051 by -1051.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 11389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -69*t - 55*t = -105*t - 228 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, -38, 25 in descending order.\nAnswer: 25, 2, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (0 + 342\/(-8))\/(7\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 3 = -2*x - 2, 11 = 3*x + 2*k. Suppose -2*r = -4*v + x*v - 196, 4*r = 3*v + 396. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -56160, -56136, -56084, -55998, -55872, -55700?\n\"Answer: u**3 + 8*u**2 - 7*u - 56162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16583260 is divided by 916?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80*j = -76*j - 70788. Suppose j = 6*a - 5289. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.01 + 0.01. Let x = 1 + q. Let t = 115\/4 + -1027\/36. Which is the closest to 1? (a) x (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + (0 - 0) + 12. Suppose -4*h + 4*m - 1 - d = 0, h - 4*m = -15. Which is the nearest to h? (a) 0.6 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -3623, -3612, -3579, -3512, -3399?\n\"Answer: 2*k**3 - k**2 - 3624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -582, -516, -396, -210, 54?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5947 - 15708 = -521*z + 26082 - 7709 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1, -21, -57, -115, -201?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 5*d, 5*i - 64471 - 141246 = -8*d. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -3*m**3 - 2*m**2 + 3*m + 3. Suppose -2*s - 2 = 4*t + 24, s - 12 = 3*t. Let n(r) = 6*r**3 + 5*r**2 - 7*r - 5. Give t*x(y) - 2*n(y).\nAnswer: 3*y**3 - y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -4*j - 16. Let f be g(-8). What is the greatest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -94036077 divided by -4?\nAnswer: 94036077\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t**2\/4 - 33422483*t\/4 - 2785207 = 0. What is t?\nAnswer: -1\/3, 11140828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 PM and 8:44 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 13047.98 millilitres in litres?\nAnswer: 13.04798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.3 in 1\/6, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1, 7, 12 in descending order.\nAnswer: 12, 7, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (2*t + 2*t - 3*t)*(3 - 1 - 1)*(4 - 1 - 5)*(-147 - 6*t**2 + 149 - 4*t**2) as f*t + j*t**3 + i*t**2 + x and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 55 = -4060*m + 4055*m, -m - 6*j - 26 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 326\/4*(-6 - -3 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2754, -2, -1 in ascending order.\nAnswer: -2754, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 9*d**2 - 4*d - 2. Let h(t) = -6*t**2 + 3*t + 1. Calculate 7*h(i) + 5*u(i).\nAnswer: 3*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 14*q**3 - 16*q. Let p(d) = 28*d**3 - 31*d. Let l(j) = -5*g(j) + 3*p(j). Find the second derivative of l(i) wrt i.\nAnswer: 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from ohhzzhzzcoc.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 - 1 + 5)*(2*l + l - l) - 3 + 3 + 7*l + (-12 - 3 + 2)*(2*l - 3*l + 0*l) to z + k*l and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/7, 42, -14, 1.249?\nAnswer: 1.249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*s - 4*f - 7, -2 = 3*s + 3*f + 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the first derivative of -33*x**4\/4 + 35*x**2\/2 + 32. Find the second derivative of k(q) wrt q.\nAnswer: -198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -9*t**2 + 34*t - 6. Let p be j(3). Suppose w = -x + 115, -13 = 2*w - 3. Find the common denominator of 14\/x*(770\/p)\/(-7) and -79\/22.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, c: 4, w: 1, d: 2, t: 1, y: 3}. What is prob of sequence wy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/1277? (a) -0.1 (b) -0.2 (c) 2 (d) 3 (e) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 3923*b + 8524. Let o(y) = -3906*y - 8523. Let s(p) = 3*o(p) + 2*v(p). Differentiate s(m) with respect to m.\nAnswer: -3872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 89020914.\nAnswer: 2, 3, 47, 315677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 68, -4, 331, -2\/5, -0.2, 0.4 in descending order.\nAnswer: 331, 68, 0.4, -0.2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 30 = 2*y + 8, -2*y = -5*h - 16. Solve -k + y = -5*q, -3*q - 6 = -q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f*f*f**(4\/9)\/f*f)*(f\/(f\/f**1))\/f)\/(((f**3*f*f*f*f)\/f)\/(f\/f**(-3\/2))))\/((f**(-1)*f)\/(f\/((f**(-1)\/f)\/f)*f)*f**4\/f**(-2\/9)) assuming f is positive.\nAnswer: f**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0\/2 - 2)*-5. Let x = -1 + u. Suppose 6 = 5*q - x. Solve -p + 3*j + 2 = 0, -2*j = q*p - 0*j - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v**5 - 2*v**5 + v**5 + (4*v**5 - 3*v**5 + 7*v**5)*(-3 + 0 + 1).\nAnswer: -19*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3804)\/(-108) - 2\/9. Let u = -32 + g. Suppose -5*l + 0*c - c = 30, 0 = -3*l + u*c. Which is bigger: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + 0*j + j)*(1 + 4 - 4) + (3 - 6 + 1)*(0 + j + 0) - j - 3*j + 16*j + j - 2*j + 4*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 22627*g**3*y**2 + 87*g**3*y + 13*g*v*y**3 - 7124*g*v*y + 5*v*y**2 - 35*y wrt y.\nAnswer: 45254*g**3 + 78*g*v*y + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y**3 - 3726*y**2 + 1542564*y - 212873832 = 0. Calculate y.\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 AM and 3:28 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddtdddddddddeeddtt. Give prob of picking 3 t and 1 e.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 4995\/32328 - (-6)\/(-192)*4 and 43\/5.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-6)*f*f)\/f*f**(2\/29)\/f*f*f**(6\/11)\/f**(-1\/4))**(-2\/13) assuming f is positive.\nAnswer: f**(5277\/8294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -d - 0*s + 201, 3*d - 558 = 3*s. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(84)*-2 + sqrt(84)*-2*5 + sqrt(84))\/(sqrt(144)\/(sqrt(768)*-1)).\nAnswer: 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24094 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of -l**5\/20 - l**4\/3 + l**3\/2 - 2*l**2 + 2*l. Let s(j) = -3*j**2 - 13*j + 5. Let x be s(-5). Calculate w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 55, 279, 649, 1165?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, v: 1, e: 1, r: 1, h: 2, j: 1}. What is prob of picking 1 h, 1 r, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 27\/18*1564\/6. Suppose 3176 = 5*r + q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5189523 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-186)\/248)\/((-42)\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*o - 462 = 32*o + 132 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.07, 3, 0.1, -3.\nAnswer: -3, 0.07, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1078 and 1848.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - 10*h + 5*h + 5057, -2 = -2*h. List the prime factors of d.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11.8 + 1.7. Let p = -10 - l. Let s be 2\/9 - (-187)\/(-396). Which is the nearest to s? (a) p (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 702 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 54 + -57. Let c(n) = -n**3 + 4*n**2 + 5*n + 4. Let s be c(b). What is the second derivative of 3*l**5 - 4*l**5 - s*l + 38*l wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/3 + (-2)\/6. Suppose y + w = -2*y + 1, 0 = 5*y + w - 1. Suppose 0 = -5*q - y*q - 10. Which is bigger: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {m: 2, q: 1, n: 1, t: 2, j: 1, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be (45\/(-6) - -1) + (-18)\/(-12). Let p be 5\/(10 + s)*(-15)\/(-3). Calculate the greatest common factor of p and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1494381 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7188 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*n = 48*n + 134. Let i be 28\/10*(-5 - 0). Let p = i - -9. Put n, p, -1 in descending order.\nAnswer: -1, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes after 11:39 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -184*n + 1 - 1 - 126*n + 318*n + 243*n**2.\nAnswer: 243*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.14409 times -17\nAnswer: -2.44953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(1\/(-6)) - 47\/(-1974)*0. Sort 4, -30, m, 3, 1 in descending order.\nAnswer: m, 4, 3, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**3 + 8*q**2 + 15*q - 37. Let d be g(9). What is the greatest common divisor of d and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -72360, -144765, -217274, -289941, -362820?\n\"Answer: -9*o**3 + 2*o**2 - 72348*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 27 and 79441212?\nAnswer: 714970908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -1360 by 68.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2345 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 2 - 6. Let y = j - -15. Suppose 3 = 4*r - y. Solve 0 = -r*c + 5 + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in 5*c**5 - 50*c**4 + 190*c**3 - 340*c**2 + 285*c - 90 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 4*n**3. Let u be r(1). Let a(p) = 5*p**2 + 8*p. Suppose -5 = 3*i - 4*i. Let m(g) = -6*g**2 - 9*g + 1. Let s(b) = i*a(b) + u*m(b). Factor s(k).\nAnswer: (k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4946.4 rounded to the nearest 10?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 219 - 242. Which is greater: -114\/5 or r?\nAnswer: -114\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -378 + 475. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 3, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6224 is divided by 1487.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4263*b**2*r**3 - 3*b**2*r*w + 11*b**2 + 2*b*r**3 - 2*b*r*w + 7*b*w - 5*r**3*w - 2*r**3 + 8*r**2 wrt r?\nAnswer: -25578*b**2 + 12*b - 30*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3097338 and 282?\nAnswer: 145574886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes before 11:38 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*p - 44*p + 27*p - 228 + 6*p + 7*p to b + t*p and give b.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2090832.9 months in decades?\nAnswer: 17423.6075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t - 602 = -728. Calculate the remainder when 1752 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**2 + 3*l + 3. Let x be y(3). Suppose -4*s - x = 5. Let n be (2\/3 - s)*6. Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24730877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3)\/14)\/(3\/(-8)). Let s = 113\/5 - 221\/10. Sort h, 75, s in increasing order.\nAnswer: s, h, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**2 - 6*n + 3. Let t(b) = -b**3 - 6*b**2 - 6*b - 9. Let c be t(-6). Suppose 3*y = 9 - c. Determine s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 19*p**3 + 4*p**2 + 5*p - 12. Let v(f) = 17*f**3 + 3*f**2 + 4*f - 11. Give -5*v(m) + 4*y(m).\nAnswer: -9*m**3 + m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the third derivative of o**5\/60 + o**4\/12 - 2*o**3\/3 + 2*o**2. What is the least common multiple of 2 and v(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 3*z + 2*z + 1 = 0, -2 = 2*q - 2*z. Let b = q + 2. Solve -4*i + 2 - 14 = b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y + 4. Let n be o(-4). Suppose -3*u = -4*a - 13, 3*u + n*a - 14 = 5*a. Let s be (-8)\/(-6)*(-15)\/(-10). Solve -s*q = -u*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of -p**4\/4 + p**2\/2 - p + 12188. Let s(x) = 8*x**3 - 3*x**2 - 8*x + 14. Calculate -6*k(l) - s(l).\nAnswer: -2*l**3 + 3*l**2 + 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d + 6. Let a be m(-2). Let v(w) = -3*w - 12 + 4*w + 0*w + a*w. Let t be v(3). Which is greater: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 373, 276, 177, 76, -27?\n\"Answer: -p**2 - 94*p + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 + 3*l**2 - l + 1. Let p be (1 - 2)*(-14)\/7. Calculate a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 minus -21496689?\nAnswer: 21496681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 911, -1204, -6951, -18148, -36613, -64164?\nAnswer: -102619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 3*u + 0 = -7, -5*u + 13 = 2*o. Suppose -l = -o*r + 8, 3*l - r = -3*r - 94. Calculate the common denominator of 115\/12 and (-12)\/l + 577\/(-56).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of 4*y**6\/15 + 3*y**5\/20 + 18*y**3 - 21*y + 2. What is the second derivative of i(c) wrt c?\nAnswer: 96*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - h**3 + (-1 + 1 + 2*h)*(2*h**2 - 4*h**2 + 0*h**2) + 4*h**3 - 2*h**3 - 3*h**3 + (-2*h**2 + 2*h**2 + h**3)*(-395 + 151 + 2867).\nAnswer: 2617*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-34)*(((s**21*s)\/s)\/s*s)\/s)**28 assuming s is positive.\nAnswer: s**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor z**5\/4 + z**4 + z**3 - z**2\/2 - 5*z\/4 - 1\/2.\nAnswer: (z - 1)*(z + 1)**3*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 2 - 3. Are -4\/9 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/(-4)*(5 + -3) - 0. Let r(h) = -3*h**3 - h**2 + 5*h + 1. Let c be r(j). Suppose -u + c = -5. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -103111 + 155413. Suppose -63*q + 69*q - r = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*n + 259 = -59*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 + 3. Suppose -5*r - 13 = -3*k + 5*k, r + 3*k = -13. Let x be (r - (-2)\/2) + 4. Solve 4*q - t + 8 = b, -2*q - x*t = t + 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xqxvppmxpqpqqmqqxq. Give prob of picking 1 q and 1 x.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 + -11. Suppose -5*b - 3*d = -d - 30, 0 = 4*b + 3*d - 31. Suppose 4 = b*s - 0*s. What is the highest common divisor of s and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*c*o*q**3 - 371*c*o*q**2 + 16*o*q**3 + o*q**2 + 2*o + q**3 wrt q.\nAnswer: -18*c*o + 96*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 716 and 5?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -2\/7, 5, -0.9, 14, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17530 - 17973. Sort 3, -2, n, -1\/7.\nAnswer: n, -2, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 - 321*n**2 + 11240*n + 279. Determine q(40).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 AM and 2:29 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q - 40 = 0, 3*b - 4*q + 78 = 220. Solve -9 = 57*p - b*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -87.185?\nAnswer: 34.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3400534567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g**3\/5 + 93*g**2\/5 = 0.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 93000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c - 6. Let s be l(-9). Solve r = -s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -2*k. Let q(t) = -73*t + 73*t + 3*t**2. What is q(r(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 2*a**4 + 50*a**3 - 52*a**2 = 0. Calculate a.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -338 + 1052. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -19*y. Let j be k(0). Let g be (0 + (-2)\/(-5))*-1. Sort -4\/3, -7, g, j in descending order.\nAnswer: j, g, -4\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7 or 4401623?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -66 + 988\/15. Suppose k + 4*o - 14 = 3, 4*k = 3*o + 11. Suppose 0*f = -k*f - 10. What is the closest to 0.1 in f, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.016 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 2*x + 1, 5*c - 5 = 3*x. What is the third derivative of -12*d**2 + 17*d**4 - 26*d**c - 3*d**4 wrt d?\nAnswer: -288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (19\/15 - 1)*(-5754)\/7672.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a + 5*c - 55 = 8*a, 64 = 4*a - 4*c. Let w(g) = -g**3 - 3*g**2 - 2*g - 2. Let i be w(-3). Solve z - i*z = a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -4*o + 74. Determine s(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the second derivative of 2*o**6\/25 + 39*o**5\/100 - o**4\/20 - 13*o**3\/10 - 9*o**2\/10 + 10*o. Find j, given that z(j) = 0.\nAnswer: -3, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2 (b) 4 (c) -2371 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 47*o**2 - 2*o + 2. What is s(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 630*v**2 + 317*v**2 - 200*v**2 + 451*v**2 + 240*v**2.\nAnswer: 1438*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 42*z - 10. Let l be o(7). Let n = 459 - l. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81*c = -96*c + 135. Let s(y) = -y**2 - 2*y - 3. Let t be s(-2). What is the remainder when c is divided by (-15)\/9*t\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8 - c**2 + 34 + 33 to the form d + p*c + m*c**2 and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 27 - 25. Let t be 10\/(-4) - (-2 - k). What is the third biggest value in t, 2, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7481 - -12920. Suppose -5*s - d + 1328411 = 3*f, 5*f - 2*s = 2179996. Round f to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -4*j + 48. Suppose j*f = 30 + 27. Solve -f*r + 19 = -2*x, -r - 3*x = 2*x + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 3*r - r. Calculate the lowest common multiple of 2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 - w - 1. Let c(m) = -6*m**2 - 10*m - 10. Suppose -11 = 4*d + 21. Let j be (-12)\/(-66) + (-9)\/(-11). Calculate d*z(b) + j*c(b).\nAnswer: 2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -11*l**2 + 262*l**2 - 7*l**2 + 2*l + 169*l**2 as s*l + c*l**2 + j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10725128.\nAnswer: 2, 29, 46229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 + 3*v + 1. Let w(c) = -764*c**2 - 36*c - 694. Let f(t) = 12*q(t) + w(t). Differentiate f(l) wrt l.\nAnswer: -1552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 163 divided by -62321.\nAnswer: -163\/62321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(891) + 1)**2 - sqrt(891))*2 - (-2*(5*(sqrt(891)*2 + sqrt(891)) + sqrt(891)))**2.\nAnswer: -905248 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 59 + -58.6. Let q(c) = c**3 - 14*c**2 - 13*c - 30. Let z be q(15). Let h = -4 - -1. Sort h, z, g in descending order.\nAnswer: g, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4050\/113, -0.1, -3, -531 in descending order.\nAnswer: -0.1, -3, -4050\/113, -531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -226, -4, 5, 3, 111 in descending order.\nAnswer: 111, 5, 3, -1, -4, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2795*q + 17314 = -13431 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/(v\/v**(-17)*v*v)*v**22*(v*v**(-2\/47))\/(v*v\/(v\/((v**(-10\/11)*v*v*v)\/v))*v) assuming v is positive.\nAnswer: v**(448\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 270 a factor of 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20562 and 3864?\nAnswer: 575736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3223 + 20301?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of -z**6\/120 + z**5\/80 - 6*z. Factor x(o).\nAnswer: -o**3*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1070783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u. Let y be l(-3). Suppose -8*z = -y*z. Solve -4*p + 7*p - 15 = z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes after 10:59 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -410905 - -862892. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5362247 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2399 (base 10) to base 9\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 35\/(-4)*(-54)\/135*6. Let s be (-7)\/(x\/225)*-1. What is the greatest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -5*a**2 + 9*a + 4*a**2 + 0*a**2 - 2 - 3*a. Let h be i(5). Solve h*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 + 1)\/(((-161)\/(-70))\/(-23)). Solve -2*l + g - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*t - 19180 = -44*t. What is the remainder when 956 is divided by t?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0643 to 3 decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -3*c. Let v = 0 + 12. Let y = v + -8. Let u(j) = -y*j**2 - 2*j**2 + 4*j**2. Determine z(u(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-90)\/(-27)*((-72)\/10)\/(-6). Solve 5*r - 1 = -5*h - 21, -r - i = 4*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -128207 from 1649.44.\nAnswer: 129856.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25650679?\nAnswer: 1459, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/134 (b) 0.1 (c) -617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -63368.2 rounded to the nearest 100?\nAnswer: -63400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 71296, 138028, 204760, 271492, 338224, 404956?\nAnswer: 471688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4495350 and 8091630.\nAnswer: 40458150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-6)*u**(-3\/7))**(8\/3) assuming u is positive.\nAnswer: u**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 30203171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 15 (b) 5 (c) 3 (d) 4 (e) -4 (f) -1\/5 (g) 0.02202\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h**3\/10 + 461*h**2\/5 + 105798*h\/5 - 213444\/5 = 0. What is h?\nAnswer: -462, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79705.\nAnswer: 5, 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -125, 5, -1 in decreasing order.\nAnswer: 5, 3, -1, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6686 + 1124 - 8112 = 705*t + 3246 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2*r - 5*h + 13 = 0, -2*h + 4 = 0. Suppose 0 = -2*y + 6*y - 5*g + 7, 0 = 4*y - 3*g + 1. Which is the nearest to r? (a) y (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = k - 5, 0*k = -2*w - 5*k - 11. Suppose w*q - 2*j + 4 = 52, -2*j = 3*q - 87. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 113*w + 25*w + 25*w - 220*w + 18*w + 22*w + 22*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -15776*d**3 - 5*d**2 - 29*d - 28. What is the thousands digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 PM and 5:12 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sususuuuusssusuu. What is prob of sequence su?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -609cf + -3?\nAnswer: -609d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (200 + -198 - (8 - 1)) + 0 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69526.1 + -24209.\nAnswer: 45317.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/7 - (-76)\/28. Which is the second smallest value? (a) -0.3 (b) -1\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.246 - 0.746. What is the third biggest value in 6, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -23077, -46153, -69229, -92305, -115381?\nAnswer: -138457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 78\/9*2412\/1742.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of -7*t**4\/4 + t**3 - 2*t + 4. Let i(p) = 10*p**3 - 4*p**2 + 3. Determine -5*i(d) - 7*q(d).\nAnswer: -d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22*i**3 - 313*i**2 - 171*i**2 - 317*i**2 - 2*i + 8*i**2 + 324*i**2 - 26*i**5 wrt i?\nAnswer: -1560*i**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 5 (c) -2\/13 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 - 5*j**2 + j - 1. Let b be n(5). Calculate the remainder when 16 is divided by (-9)\/2*b\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 3*s = -447236, 3*s = -2*s - 10. Let z = 1362 + 862253. Let q = z + c. What is q rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 330089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (21 - 256\/14)\/((-28)\/(-196))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 139653733.60899 - -2\nAnswer: 139653735.60899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 233*c - 925. Let d(o) = -21*o**2. Calculate l(d(v)).\nAnswer: -4893*v**2 - 925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 825889558 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -4*j**2 - 13 - 6 - 14 + 40 in the form d + p*j + w*j**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16623, 33247, 49871, 66495?\nAnswer: 83119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2520)\/18900*231\/(-44).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*q**3 - 5 + 5)*(-3 - 3 + 7 + (1 + 0 - 3)*(5 - 1 - 5) + 1 - 1 + 1) as x*q + h*q**3 + k + m*q**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s = -5*o - 2*s + 20, -5*o + 16 = -3*s. Suppose 2*z + 4 = 3*d, 292*z = -3*d + 295*z. Put o, 7, d in descending order.\nAnswer: 7, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1634 + -429. Let y = 1914 - o. Is y a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -11*h - 55. Let r be c(-5). Let g(p) = -p**3 - 1. Let o be g(-1). Suppose r = -o*f + 8*f. Solve 6 = -x + 2*v, f = -x - 5*v - 3 + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2639 + -133?\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1805055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-3\/4)\/(x*x**(-9)*x)*x**10*x\/(x\/((x*(x\/x**(-14\/3))\/x)\/x*x)))**(-8) assuming x is positive.\nAnswer: x**(-526\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 50366555633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + ((sqrt(475) + (sqrt(475) - (sqrt(475) + 0)) + -1)*-5 - 2*(sqrt(475) - (sqrt(475)*-1*-4 + sqrt(475) + sqrt(475))))**2)*-3.\nAnswer: -35691 - 750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (84\/(-56))\/(-1 - (-5)\/8). Suppose -8*t = -u*t + 5*m - 375, -4*m = -t + 120. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*(5\/((-30)\/(-18)))\/(63\/3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 29675946 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(720)*-6 + 5)**2.\nAnswer: -720*sqrt(5) + 25945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5264898409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -93*z + 2*z**2 + 0*z**2 - 1040 + 1042 to u*z**2 + i*z + s and give i.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -144*n**3 - 14*n**2 - 33681*n - 1 wrt n?\nAnswer: -864*n - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.18 (b) -1\/769 (c) 0.53 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 241*t + 2 - t**2 + 0 - 117*t - 118*t as f*t**2 + z + b*t and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.105 - 0.095. What is the nearest to 6 in 1\/3, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -9 + 2 - 18 + 3*q. Let x be u(5). Let t be (-1 - (-5)\/25)*x. Which is bigger: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2131 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -6\/7 (c) 5.3 (d) -1\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 421 + -228. Let p = o - 137. Let u = -18 + p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4\/7 (b) -0.08 (c) -3 (d) -0.12 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.3 - -0.3. Let s = 1 - 1. Suppose 3*d - 5*u + 2 = 0, 4*d - u + 12 = u. Which is the closest to g? (a) d (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 52910*r**3 + 48*r**5 + 56*r**2 - 52910*r**3 wrt r?\nAnswer: 2880*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18300?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -320, -622, -936, -1268, -1624, -2010, -2432?\n\"Answer: -t**3 - 295*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 10780 divided by -11\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8672180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes after 6:58 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1077783592*h - 3 - 1077783600*h + 1 + 2.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23683\/8 + -2972. Find the common denominator of w and -19\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 23 = 5*n, 2*n + 730*q - 721*q - 103 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 202 + 410. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z - 5*z**2 + 8*z**2 + 4*z + 0*z**2 as i*z + v*z**2 + m and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7231 is divided by 3591?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -191 + 188. Let k = -0.35 + 0.05. Sort k, u, 18 in decreasing order.\nAnswer: 18, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -4*i - 6*i. Let v be (14\/i - 8\/(-24)) + 1. Let y = 23 - 18. Sort 2, y, v, -0.2 in decreasing order.\nAnswer: y, 2, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/(u**(-9)\/u)*((u\/(u\/u**26))\/u)\/u*u assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 44263415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 10313555803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-30)*-3)\/(55\/(-100))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lf when two letters picked without replacement from {m: 1, f: 7, l: 1, v: 3}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3777 - -33997\/9. Let p be 224\/360 - 2\/5. Factor p*z + c - 2\/9*z**2.\nAnswer: -2*(z - 2)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 110471113, 110471102, 110471087, 110471068, 110471045?\nAnswer: 110471018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -101200210 (base 3) to base 4.\nAnswer: -1321311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86877 is divided by 508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.0795 + -0.9205. Which is the smallest value? (a) -3 (b) d (c) 764\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -2*f**7\/63 - 4*f**6\/45 + 3*f**5\/5 + 22*f**4\/9 - 8*f**3\/9 - 16*f**2 - f - 1194. Determine t so that z(t) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j + 1. Suppose 12*s + 10 = 17*s. Let t(b) be the first derivative of -25 + 38 + b**3 + b**2 + s*b - 30. Calculate -2*r(k) + t(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 488492427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-10) - 1\/(45\/(-44766)). Is f smaller than 996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 - 3*t - 8. Let w be 20\/(-6)*(504\/40)\/7. What is z(w)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**(-1)*s)\/((s**(-2)\/s*s)\/s))\/(s\/(s**(2\/5)\/s)*s)**49)\/((s**(3\/2)*s\/s**(-3\/7)*s)\/((s**2*s*s)\/s**4)) assuming s is positive.\nAnswer: s**(-8983\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (5456\/24*-2)\/(4\/(-6)) is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert -2391 (base 10) to base 9.\nAnswer: -3246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 115152 and 736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 - 26*b**2 + 28*b - 54. Calculate the remainder when 57 is divided by u(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 225 = -5*k, k + 5*w = -0*w - 71. Let f = -27 - k. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 4) + 6 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11 - -14. Let u(k) = -k**2 - 4*k - 1. Let y be u(-3). Suppose y*v + 1 = 2*l - 1, 8 = -4*l. Put w, 5, v in increasing order.\nAnswer: v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -90330, -90325, -90320, -90315, -90310?\nAnswer: -90305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 3, -2\/5, 17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2712 - 0.0078. Let f = -49.27 + 49. Let x = f + a. What is x rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 - 199.59279.\nAnswer: -171.59279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -0*s - 4*s - 2612, -2*d - 5*s = -1271. Suppose d = 15*y - 6*y. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -799.16 * -3.3\nAnswer: 2637.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 7\/8, -5, 6\/7?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 158*t**3 + 6*t**2 + 4*t + 54. Let j(o) = 789*o**3 + 33*o**2 + 21*o + 272. Let m(g) = 11*i(g) - 2*j(g). Find the second derivative of m(k) wrt k.\nAnswer: 960*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4387 or -4359?\nAnswer: -4387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2*((-156)\/(-8) + -1). Let g = u + -13. What is the smallest common multiple of 9 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-b - 3*b - b)*(7*b + 9 - 6*b + 0*b + (-3 - 2 + 4)*(-3*b + b + 3*b) - 4*b + 5*b - 3*b) to n*b + c*b**2 + u and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 8:57 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1434*a**3 + 2*a**4 - 4235*a**3 + 1402*a**3 + 15*a**5 + 1419*a**3 - 8789*a**2 wrt a?\nAnswer: 900*a**2 + 48*a + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-5)*l)**(-6\/13)\/(l\/(l\/l**17*l*l)*l*l*l**1) assuming l is positive.\nAnswer: l**(-210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -47 - -61. Solve l*b = 17*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 28 = -2*n, -n = -4*v - 0*n + 20. Solve 4*o - g - 3 = 0, -9 = -v*o - 2*g - 3*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i and 1 g when four letters picked without replacement from {i: 5, f: 1, g: 12}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11333658 divided by 4.\nAnswer: -5666829\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/19, -370, 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*p + 52*p = 0. Suppose p*i - 5*i + 2065 = 0. Let y = i - 215. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 257536753 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -5 (b) 0.17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18.99 + -19. Let j = 0.29 - i. What is the second smallest value in -0.1, -2\/3, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2868 - -5656. List the prime factors of g.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -34 + 39. Let v be (-15)\/20 + 44\/80. Which is the nearest to -2? (a) -0.3 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**2 + 10*c + 17. Determine n(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 649*l - 4102 = 63*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3479926517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 12101 (base 4) in base 2?\nAnswer: 110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -104\/35 - -18\/7. Put 3, 1, l in decreasing order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -8 + 10 + 18\/2 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11102 (base 4) to base 5.\nAnswer: -2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54*x**3 + 80*x**3 - 25*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, o: 2, i: 5}. Give prob of sequence ioi.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4787.82 - -4788. Sort 0, -12, w in ascending order.\nAnswer: -12, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/((-128)\/80)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**10)**(-31)*(i**(-6))**(-4\/43))**(11\/9) assuming i is positive.\nAnswer: i**(44077\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-33)*1*(-7106)\/(-76))\/(16\/168)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 261 + 125. Let t = -240 + n. Let c(z) = 2*z + 15. Calculate the remainder when t is divided by c(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange a**2 - 11*a**3 - 25*a**4 - a**3 - 8*a - 15*a - 11*a + 36*a to h*a**2 + i*a + b*a**3 + s*a**4 + k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = 4*v - 8, 5*k = 2*v + 3*v - 45 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 16589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2548 - 40793\/16. Calculate the common denominator of k and 133\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h and 1 i when four letters picked without replacement from hhhihhiihihhih?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - ((-7 - -3) + -7 + 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 37265 - 37265 - 1665*p to the form h + i*p and give i.\nAnswer: -1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -22150, -39976, -57804, -75634, -93466, -111300, -129136?\n\"Answer: -o**2 - 17823*o - 4326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 2*u**3 - 5*u**2 - 5*u + 8. Calculate v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence idd when three letters picked without replacement from dcccidii?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 37.8 - 32. Let m = -6 + p. What is the nearest to m in 3\/4, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from {c: 2, x: 4, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**3 - 5*y**2 + 20*y + 1. Let s(o) = -o**3 - 4*o. Calculate a(n) + 5*s(n).\nAnswer: -4*n**3 - 5*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 8.7 less than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150*p - 20*p + 45*p - 1750 = 0. Calculate the lowest common multiple of 4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 26 + -15. What is the remainder when 29 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fccf when four letters picked without replacement from cccfcfffckfcfckcff.\nAnswer: 98\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 8 + 5 = 0. Let l be c*(-1)\/(-4)*4*-1. Let g(x) = x - 6. Let i(y) = 1. Calculate l*g(m) - 6*i(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((3\/45)\/(1\/3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1 (b) 0.2 (c) -165 (d) -14 (e) 1\/17 (f) 17\/2 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*y = 90 + 115 - 77 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -143, -5\/6, -2, 5 in ascending order.\nAnswer: -143, -5, -2, -5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**20\/n**(-15))\/(((n**3\/n)\/n)\/(n*(n\/(n**(-1\/3)*n*n*n*n))\/n*n)) assuming n is positive.\nAnswer: n**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2494168033 and 707.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*y**5\/5 - 1532*y**4\/5 + 21042*y**3\/5 + 10736*y**2\/5 - 156584*y\/5 + 126336\/5 = 0. What is y?\nAnswer: -3, 1, 2, 14, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**3 - 11*w**2 + 2*w. Let d(a) = 4*a**3 - 29*a**2 + 6*a - 2. Give d(l) - 3*k(l).\nAnswer: 7*l**3 + 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n\/n**(-1))*n**(-2\/3))\/(n**(-1\/2))**(-10)*(n*n\/(((n*n**(2\/7))\/n)\/n))**12*(n\/(n*(n**(1\/4)*n)\/n))\/(n\/n**(-1)) assuming n is positive.\nAnswer: n**(1987\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 533 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 24 and 29?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -3*l**2 + 5*l - 3. Let f(o) = 13*o**2 - 20*o + 11. Let g(j) = 2*f(j) + 9*i(j). Let b be (-356)\/(-70) + 111\/(-1295). Give g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-16 - -1) - (-365 + 307).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Round 0.00146546484 to 5 decimal places.\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/4, 16.1, 2\/7, 4 in descending order.\nAnswer: 16.1, 4, 3\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4586.6 + -4587. Which is the nearest to 3? (a) 2\/7 (b) k (c) -3\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 40 + 60. What is the highest common factor of 40 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 11*l. Let z(m) = -7*m. Let h(a) = -5*x(a) - 7*z(a). Let g(o) = -2*o. Calculate g(h(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -34604100 divided by -2883675?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 35743927 greater than or equal to 35743921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9\/272 - -2213\/2992. What is the common denominator of v and 51\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from hhhnhhhnhh?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2 + (2 + sqrt(2))*5 + 3.\nAnswer: 5*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c = -3*c - 5990. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.04 - -0.54. Let i = -17.66 - 214.54. Let n = i + 232. Which is the nearest to -2\/3? (a) j (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, 1548, 9, -89 in decreasing order.\nAnswer: 1548, 23, 9, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/72 (b) -111385 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 0.5, 3, -0.06, -24, 0.041?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-12)*(-2)\/52*-8.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3465, 6868, 10271, 13674, 17077?\n\"Answer: 3403*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 494827523.\nAnswer: 494827523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 429, -0.13, -1\/8, 0.1, 4 in ascending order.\nAnswer: -0.13, -1\/8, 0.1, 4, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 104, 203, 302?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2352 and 219128.\nAnswer: 1314768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -19*j**2 - 3*j - 2. Let p be b(-5). Let n = p + 653. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:39 AM and 3:27 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (3\/(-1) + 13)\/2 - 3. Solve -5*o - v*l = -31, -4*o + 5*l - 2*l + 11 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 3*w**3 - 11*w**2 - 17*w - 1. Let k(i) = -2*i**3 + 7*i**2 + 11*i + 1. Let b(j) = 8*k(j) + 5*s(j). What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n + 115392 - 54601 + 2*n - 60791.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 + -4. Let h be (15\/10)\/(u\/(-30)). Let c = h - 14. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 25568648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - -3. Suppose 3*n - 4*n - 4*i + 346 = 0, -d*n + 1793 = -i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 2 + (3 - (-3 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**3 + 2*d + 16. Suppose -4 = -2*j - 4*a, 4*a - 2*a + 8 = 4*j. Let b be (2\/j - 1)\/(-1). Let s be f(b). Solve 0 = 3*v + v - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1643, -3.824, 2 in ascending order.\nAnswer: -1643, -3.824, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 + 3. Let s = -1 - -30. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b + 3. Let x be k(-3). Let j be (-15)\/75 + (-16)\/(-5). Sort j, x, 5.\nAnswer: x, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -10*t**2 + 3*t - 3. Let c(r) = 11*r**2 - 2*r + 2. Calculate 3*c(y) + 2*q(y).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 296*m = -377*m + 16152 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 176, 177, 180, 185?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 124253 is divided by 5204.\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 47.1550931 to three dps.\nAnswer: 47.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 368*j**4 - 22084*j**3 + 331440*j**2 - 3600*j = 0.\nAnswer: 0, 1\/92, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -123\/20 and ((8\/(-704))\/(67\/(-6)))\/(51\/(-1462)).\nAnswer: 14740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14738 + -14742. Which is the third smallest value? (a) t (b) -2 (c) -0.1 (d) -2\/213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -146 = g - 356. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2. Let y(b) = -1955*b. What is y(j(a))?\nAnswer: 1955*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -361*y + 1495485 - 1466605 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*b = 1 - 154 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 2*u + 12. Let y be w(-5). Suppose -4*b + 82 = p, 0 = -0*p - 5*p - y*b + 320. Let k = 82 + p. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of -1\/510*l**5 + 0*l**4 + 0 + 0*l**3 + 1\/1785*l**7 + 0*l + 72*l**2 + 0*l**6. Factor d(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 - -65278?\nAnswer: 65276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 140361, 139688, 139015, 138342, 137669?\n\"Answer: -673*p + 141034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.053, -5, 3\/19, -3, -0.0698?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (1 - 2) + 4 + (-72 - -21) + 16\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -203*i = -169*i + 33 + 613 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 8.8 (c) 1 (d) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 PM and 3:25 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 55445441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 212, -59, -518, -1171, -2024, -3083, -4354?\n\"Answer: -z**3 - 88*z**2 + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.3? (a) -0.1 (b) 0.1 (c) 1516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.010875286 to six dps.\nAnswer: 0.010875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -31 + 52. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -168*v = -172*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -2734376 by 6.\nAnswer: -1367188\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 5. Let h = 8 - 5. Let k = h - s. Put -5, k, -0.1 in increasing order.\nAnswer: -5, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.149963421 - -0.06.\nAnswer: 0.209963421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 42 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9114492*z**4 - 2*z**3 + 18*z**2 - z - 873 wrt z?\nAnswer: 218747808*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 133873.95 months to millennia.\nAnswer: 11.1561625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.03 - 4.2. Is y not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4 - -5) + -5)\/(-2). What is the third derivative of -16*i**b - 3*i**3 + 8 - 11 + 3 wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -479, -971, -1473, -1991, -2531, -3099?\n\"Answer: -f**3 + f**2 - 488*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-3))**(7\/6))**(-23) assuming u is positive.\nAnswer: u**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(400)*-2 - sqrt(4))\/sqrt(288))**2.\nAnswer: 49\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4078\/137 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 34\/5 and -17\/92670.\nAnswer: 92670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be -154*(0 - -1) + -5. Let j = d - -279. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w + 3. What is l(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-2) + (-243)\/(-6). Suppose 0 = 8*s + m - 337. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, w: 2}. What is prob of sequence wy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*y**2 - 12*y**2 - 5*y**2 + 4*y**2 to g*y + a*y**2 + z and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*t - 45*t = 289. Solve -7*h + 4 = -t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -6 + -1 + -1 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -24663*j**6 + 4*j**2 - 173*j - 4 wrt j.\nAnswer: -2959560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in f**2 - 1766*f**3 - f**2 - 44 + 81*f**3.\nAnswer: -1685*f**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*g - 358*g**3 - 9*g.\nAnswer: -358*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -45538*g**3*q + 137*g**2*q - g**2 - 65*q + 4 wrt g?\nAnswer: -273228*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 3*m = 20. Let v(n) = -n - 19. Let x be v(-14). Let a(o) = -7*o - 7. Let b(c) = 22*c + 22. Let q(i) = x*b(i) - 16*a(i). Calculate q(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r**3\/3 - 20*r**2\/3 + 16*r\/3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 362 + 24?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*(-20)\/(-12) - (-11 - 2)*1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/275600 and 47\/520.\nAnswer: 275600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + 4 + 2 - -1 - (9 + -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -449384, -898778, -1348172?\n\"Answer: -449394*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 4*p + 16, 0 = 5*p + 15 + 10. Let g be c\/18 - 8\/18. Which is bigger: g or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26555 divided by 11193?\nAnswer: 26555\/11193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14 and 39403217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 983 - 964. Solve -3*h - 4 = -k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.05 + -3.95. Suppose 4*n - 4*j - 40 = 0, 0*n + n = -5*j - 8. Suppose 11*p - n - 4 = 0. What is the smallest value in l, p, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*n - 5*n + 4*n)*(82*n**3 + n**4 + 2*n - 166137 + 166137) - n**5 + 0*n**5 + 2*n**5.\nAnswer: 3*n**5 + 164*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 239128 is divided by 59736?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, y: 1, r: 2}. What is prob of sequence cy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is p in -4*p**3\/5 - 6650*p**2 - 2422412*p\/5 - 1202894\/5 = 0?\nAnswer: -8239, -73, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hppppppp. Give prob of picking 4 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1400)\/6)\/20*(-12)\/15*(-2)\/8.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 446699047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 99 and 133661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w + 3. Let k be r(-2). Let q be 1\/((2\/8)\/k). Let a be 4\/(-6) + 0 + 2\/3. Solve -q*p = -a*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 111 - 98. Suppose -307 = -g*h + 928. What are the prime factors of h?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and -843133?\nAnswer: -1686266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-5) + 2\/10. Let i = 56 - 30. Let p be ((-39)\/i)\/((-2)\/4). Sort -4, p, u.\nAnswer: -4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(190) - 1*sqrt(190)*-2 - sqrt(190)))\/(6*(sqrt(90)*1)\/sqrt(9))*-3.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jfjj when four letters picked without replacement from {j: 6, f: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 + 18*i**2 + 2*i + 39. Let m be p(-18). Suppose 3*c = 2*r - 284, -4*c - 273 = -m*r + 153. What are the prime factors of r?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1407, -1494, -1651, -1908, -2295, -2842, -3579?\n\"Answer: -5*d**3 - 5*d**2 - 37*d - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 10, -1, 0, -12, 5 in ascending order.\nAnswer: -12, -1, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63131 is divided by 944.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - 1 - -4)*-1. Let n = 2 + m. Is n + 78\/2 - 1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001388869683 rounded to seven decimal places?\nAnswer: -0.0001389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -6\/11*s**4 + 0 + 0*s**2 + 0*s + 12\/11*s**3.\nAnswer: -6*s**3*(s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 1\/36587?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 15 = -90. Suppose -27*q + l + 12 = 0. Let x(d) = -32*d - 1. Determine x(q).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 353 - 651 - 374 = 168*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*m**3 + 12*m**5 + 6*m**4 + 9*m**3 + 2*m**4 + 16*m = 0. What is m?\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2 + 1\/4*c**3 + 1\/2*c**2 - 1\/4*c.\nAnswer: (c - 1)*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -5*i + 201, -2*n = -0*i + 2*i - 82. What is the greatest common divisor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6808 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - 5) + -3 + 3 + 2. Suppose n + 5*f - 4 + 13 = s, n = 3*f + 7. Let l = 6 + n. Calculate the highest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -241*n**2 - 9 + 13 + 9 + 47*n**2 - 1 as j + t*n + c*n**2 and give c.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 5\/2, -0.3, -5, 9.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (45\/6)\/((125\/6)\/25). What is the greatest common divisor of z and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -1\/5, -1, 1, -5, 1.68?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -82, -289, -694, -1363, -2362, -3757?\nAnswer: -5614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-282)\/(-329) - (-1164)\/14. What is the greatest common factor of d and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 670116, 1340224, 2010322, 2680410?\nAnswer: 3350488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Do -14941\/145 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -35 in 2\/57, -1, 483, 1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 310768 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2488*q**4 + 165*q - 592288.\nAnswer: 9952*q**3 + 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/8*(-48)\/(-40)*15\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15*b**4*q + 13*b**2*r + 11*q*r + 19*r with respect to b.\nAnswer: -60*b**3*q + 26*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12179 is divided by 12034.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 19691 = 666*y + 4373 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -214515 (base 14) in base 16?\nAnswer: -112e97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z - 6 = -7*z. Let h = z + -5. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 38 + (33 - (14 + 28)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.2 + -0.3. Let y = -0.2 + -0.9. Let j = 1.1 + y. What is the nearest to j in 0.2, -4, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 30*u - 29*u. Let x = -3.99 - 0.01. What is the closest to u in 5, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g - 1. Let c(q) be the second derivative of -q**4\/24 - q**3\/3 - 3*q**2\/2 + q. Let j(l) be the first derivative of c(l). Determine -j(y) + 3*v(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - 2.3. Let x = -2549 + 2547. Put 5, 4, r, x in descending order.\nAnswer: 5, 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04996 rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1863759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 - 21*x + 21. Let v be l(20). Suppose 6*d - 71 - v = 0. Suppose 0 = -2*z + w + d, -z = -0*z + 5*w - 6. Let h(c) = -c**2 + 6*c + 2. What is h(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -118 + 78. Let r = c - -95. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1873 and 1874 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 34034 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*v**2 - 51*v - v**2 - 50*v - 80*v**6 + 91*v wrt v?\nAnswer: -9600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5492667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1983778 is divided by 233.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -126168047.86999822 + 126168049. Let i = -1.13 + z. Round i to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 282080 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 2290781 = 4*w, 5*w = 33*q - 36*q + 2863486. Let a = 4402699 - w. Round a to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(69\/(-36) - -2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = -3*g - 2*r, 4*r - 30 = -5*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 55 + -277\/5. Let a = 2.32 + -0.3. Let s = a + -0.02. What is the nearest to v in 0, 3, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 2*l + 4. Determine a(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 5*g**3 - 3*g**2 + 3*g + 11. What is d(3)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 - 9*t - 3. What is r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.03? (a) 0.1 (b) -3663 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -91*f + 42*f - 3*f**2 + 49*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4436\/10*130\/52?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714936 divided by -4?\nAnswer: -178734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(2187) - (sqrt(2187) - sqrt(2187)*1) - sqrt(972)*-2)\/((sqrt(9) + (sqrt(144) - sqrt(144)*-1) + sqrt(144))*4))*4.\nAnswer: -12 + 21*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 482932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 5:55 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3468 divided by -42.\nAnswer: -578\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1355248 divided by 142\nAnswer: -9544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4667.3 + -4889. Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**3\/2 + 18348*n**2 + 220203*n\/2 + 165159.\nAnswer: -(n - 36702)*(n + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.032 + -33.968. Let g = d - -28. Let o = g - -11. Put 0, -4\/7, o in descending order.\nAnswer: o, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00034227 rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2 - 1 + 13*g**2 - 135*g**3 + 3 + 5 + 108*g**3 wrt g?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**2 + 2*j - 7. Let n be r(-5). Suppose 0 = 4*q - n. What is the third derivative of -2*y**2 + y**5 - 2*y**q - y**2 + y**5 wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 765130001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -2, -3, -13, 3 in decreasing order.\nAnswer: 3, -2, -3, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, a: 1, y: 5}. Give prob of sequence yuy.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 = -5*h - 1. Suppose 11 - 157 = -3*g - 2*n, 0 = -4*n - 20. What is the remainder when g is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-2\/7)*a)**(-40)\/(a**(-1\/4))**(-46))\/(a\/(a*a**14*a)*a*a**(-9))**7 assuming a is positive.\nAnswer: a**(813\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(1\/3)*w)**(-43)*w**(-3)\/w*w**(-6)*w assuming w is positive.\nAnswer: w**(-328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**3 - 11*a**2 - 17*a + 8. Let b be m(-9). Let c(z) = -6*z**3 + 2*z**2 + z. What are the prime factors of c(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 14*u**2\/11 - 30796*u\/11 - 800.\nAnswer: 2*(u - 2200)*(7*u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 0.2, 20, -0.2, -292 in increasing order.\nAnswer: -292, -0.5, -0.2, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.00665 from -329.9600894.\nAnswer: -329.9667394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 0*r**2 - 3*r**2 + r**2. Let a(t) = -3*t + 0*t + 3*t + 13*t. Let x(y) = 6*y. Let m(c) = -6*a(c) + 14*x(c). Calculate u(m(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 12523 times -0.2\nAnswer: -2504.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -196, -195, -194, -193, -192?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 1135*p - 2294*p + 1139*p - 680 = 0 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6193212970 rounded to the nearest 1000000?\nAnswer: 6193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 4*o + 1 - 57, -16 = -i - 2*o. What is the lowest common multiple of i and 1706?\nAnswer: 10236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 1335 = 5*v, -285 = -v + 13*h - 9*h. Calculate the greatest common divisor of 45 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**4 + 6*c**3 + 8*c**2 + 12*c - 16. Let t(z) = z**3 + 2*z. Let j(i) = -f(i) + 6*t(i). Let j(n) = 0. Calculate n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor h**2 - 16875870*h + 50627601.\nAnswer: (h - 16875867)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**3 + 8*w**2 - w - 9. Let a be b(-8). Let l = a - 6. Let c = 12 + l. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1*4064\nAnswer: -406.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 21975 = -3*m. Suppose -2*p + 7*p = m. Is (p\/(-6))\/(2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 248363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the first derivative of -v**3 - v**2 + v + 7. Let k be b(-3). What are the prime factors of (k\/(-15))\/(1\/18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 488870121*i**3 + 0*i - 488870114*i**3 + 0*i.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9 + 11. Let c(p) = -8 + 4*p - u*p - 2 - 4. Does 4 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 203 + -574?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-8)*-2*(-5)\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-39)\/(-12)*10 + -4. Are 29 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2044 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + -2. Suppose 4*q = -5*m + 284, 2*m - 2*q = 3*q + 107. Suppose -g = p - m, 10 = y*p + g - 199. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-180)\/(-48)*24\/(-60)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 8*a**4 - 4*a**3 - 14*a**2 - 32*a - 18. Let d(z) = 7*z**4 - 3*z**3 - 14*z**2 - 31*z - 17. Let j(s) = -6*d(s) + 5*n(s). Suppose j(h) = 0. What is h?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**2\/7 - 6*p\/7 - 45\/7.\nAnswer: 3*(p - 5)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 378 is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8058 - 15*h**2 + 8058 - 834275*h + 834275*h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -1272688 (base 13) to base 5.\nAnswer: -2434243332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 47 = -5*c - p, 3*c = -p - 27. Let l = -7 - c. Factor 0*f**3 - 2 + 5*f**l - 6*f**2 - 6*f**3 - 6*f - f**3.\nAnswer: -2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -8 - -3*4*(-6)\/(-18). Let t = 1512 - 1511.9. What is the second smallest value in t, -0.01, f, 0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.238, -2, 3, 4?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -2*h**3 + 1 + 3*h + 4*h**2 - h - 2*h**2. Let r be 16\/(-7) - (-8)\/28. Is p(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3471360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 151464 divided by 6311.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(2\/(-8) - 209\/(-484))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15015 + 15018. Solve -5*b + j*m = -17, 5*m + 0 = -2*b - 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.0136? (a) 7 (b) -2\/37 (c) -5 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -286 + 10. Let o be 2\/(-5) + c\/(-15). Let r = o + -7. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -6, l = -2*s + 3*l + 8. What are the prime factors of (955\/30)\/(s\/12)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8015974039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29 + -28. What is the nearest to 0.5 in -2\/7, 4, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 + 2)\/1 - 2. Let n = 7029 - 7033. What is the third biggest value in -3\/14, 4, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 0*y = 4*y + 6, -3*y - 5 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 364 + 66 = 21*c + 22*c. What is the least common multiple of c and 7*2 + 1 + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -7*x**2 + 23*x + 7. Let h(f) = -13*f**2 + 41*f + 16. Let w(a) = 6*h(a) - 11*u(a). What is w(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-264*d**4 + 10242 - 10242)*(-2*d + 4 - d + 4*d).\nAnswer: -264*d**5 - 1056*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 43273*l - 43718*l = -12015 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**2 - 28*n - 110. Let r be s(-23). Solve r*h - c = -3*c + 13, 4*c + 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1214 a factor of 61026205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.017274274 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - 65\/(-21))\/(12\/28).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 8*q. Suppose -f - 2*f - 6 = 0. Let r = f + 3. What is the units digit of c(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 175\/(-275)*((-140)\/(-24) - 4)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.01894 and 11.3535?\nAnswer: 11.33456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -31 (base 10) to base 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2213 + -1373. Suppose 15*t - 39*t = -c. Put 2, t, -5 in increasing order.\nAnswer: -5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -80010328 divided by -67?\nAnswer: 1194184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5\/28 - 47\/28. Which is the second smallest value? (a) j (b) -0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2 - z + 1. Let q(m) = -m**3 - 2*m**2 - 2*m - 1. Let g(u) = q(u) - 3*t(u). Calculate g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -167 - -333\/2. Is 2\/3 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4688)\/7 + 106\/(-371). Is -668 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -161, -609, -1343, -2357, -3645, -5201, -7019?\nAnswer: -9093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19033.\nAnswer: 7, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > 1\/5988930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 6*i**2 + 120*i + 57. Is n(-25) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1161 (base 7) in base 16?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 358234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 - 5.3. Let m = -305 + 2437\/8. Let f = 43 - 45. What is the second smallest value in m, f, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -943*v = -941*v - 5006. Suppose v = 12*a - 12557. What are the prime factors of a?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 122833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*t + 60 = -20*t. Calculate the greatest common divisor of t and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*q**2 - 5*q**2 - 9*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the first derivative of -n**3\/3 - 5*n**2\/2 + 5*n - 1. What are the prime factors of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-1 + (-12)\/2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -28*q + 744. Let z be j(21). Solve -152*b + z*b = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-30)\/12)\/((21\/(-14))\/3). Let k be ((-6)\/4)\/((-1)\/10). Suppose k + 15 = 5*i. Solve r + b = i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, u: 1, f: 4, d: 2}. Give prob of picking 2 f, 1 d, and 1 s.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 2*h - 6)*((-3 + 0 + 2)*(h - h + 2*h) + 2*h - 5*h + h + h - 1 + 1)*(-5 + 2 + 1).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 72 + -72.7. Let k = -0.3 + m. What is the closest to k in -4\/3, -2, 2\/21?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88)*1*-6)))\/(-5*(sqrt(72) - sqrt(8))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-2))\/(d*d\/d**0)*d**(1\/7)\/d*d*(d\/d**(-11)*d*d)\/d assuming d is positive.\nAnswer: d**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-4)*5\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.541545 - 0.543. What is a rounded to five dps?\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 285*n**3 - 988*n wrt n?\nAnswer: 1710*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6 (b) -1 (c) -0.5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 2*n. Let l(v) be the second derivative of 121*v**4\/3 - 2*v - 104. Give l(b(h)).\nAnswer: 1936*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, -1, 42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -211032 (base 4) to base 12\nAnswer: -1466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/4*(-8)\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -10524 (base 8) to base 2.\nAnswer: -1000101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -8320769, -8320770, -8320771, -8320772?\n\"Answer: -f - 8320768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/71 in -2, -0.1, -2\/5, 35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -2*y. Let l(a) be the first derivative of 30821*a**3\/3 - 338. Determine l(n(h)).\nAnswer: 123284*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 213 divide 3294684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be -65*(-7)\/(70\/4). What is the highest common factor of q and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 154 and 264?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 - 8*h - 4. Let q = 8 - 12. Let p(k) = -7*k - 3. Let m(z) = q*c(z) + 5*p(z). Let s(v) = -v**2 + v. Let i(b) = m(b) + 3*s(b). What is i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 136125 is divided by 13586?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -87 + 147. Let w be 1\/((-12)\/4) - (-40)\/12. Suppose -a = -w*c - c. Are 16 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a second in microseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 356 - 361 = 11*d - 159 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-258)\/(-1505)*-112*-3*(-2)\/(-4). Which is bigger: 30 or d?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 133 + -97. Solve 0 = 2*p - q + 46 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 1272858152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 234380*c**2 + 24*c - 22. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 768 - 2148. Round z to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*m + m - 8*m + (54*m - 87*m + 46*m)*(1 - 5 + 3)*(0 + 2 - 3) to r + b*m and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**4 + 18326*x**3 + 2453880*x**2.\nAnswer: -2*x**2*(x - 9295)*(x + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 117 + -116.999742. What is b rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29, 58, 73, 62, 13, -86, -247?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.7 + 0.3. Let n = 289 - 286.78. Let k = n - 4.22. Which is the nearest to -12? (a) -4\/7 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 18*m**2 - 4*m - 4. Let j(d) = -36*d**2 + 9*d + 9. Let u be (232\/1740 - (-133)\/15) + -18. Calculate u*h(n) - 4*j(n).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 33\/(1485\/(-155)) - (-12)\/27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 109, 110, 111, 112, 113, 114?\n\"Answer: t + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 - 40*v**2 + v - 22. Determine w(40).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 7) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -65846, -55, -5 in ascending order.\nAnswer: -65846, -55, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 - 5 = -3*s. Let b(d) = d**2 - 8. Let l be b(s). Suppose 0 = -h + 3*h - l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 324 is divided by 67?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3220 is divided by 97.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w**2 + 56*w + 380 = 0. Calculate w.\nAnswer: -5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15 - 0 - -17) + 6\/(-8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 502661 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (161\/(-42))\/(33\/198).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 20*v**2 - 201*v + 189. Let t be r(9). Solve 2\/5*x**2 + t + 4\/5*x = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 2*r - 12. Suppose 8 = r*q - 0*q. Suppose -26 = -5*a - 2*n - 2*n, -a - n + 5 = 0. What is the greatest common factor of a and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -200 (b) 3 (c) -10 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 5*q + 55. Let a(f) = 305 + 982161*f**2 - 306 + 367839*f**q + f. Let i be a(1). What is i rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33 and 12837?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of -77*w**3\/3 - 6*w**2 + 4*w - 14. Let t be r(-9). Let u be (-4)\/(12245\/t + 2). What is u rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -267 by 1483.\nAnswer: -267\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -668a8 + -5?\nAnswer: -668ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 13591.12 rounded to the nearest 100?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**2 + 19*v + 53. Give t(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1556*x + 1997*x + 12348 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/(-115) + (384\/184 - -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**3 + x**2 - 3*x + 13. What are the prime factors of f(-5)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -37290*b**3*q**3 + 9*b**2*q**2 - 3*b**2*q + 283*b*q - q**3 wrt b.\nAnswer: -223740*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 11871, 10425, 8979, 7533, 6087, 4641?\n\"Answer: -1446*r + 13317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, m: 1, o: 1, b: 1, u: 6, d: 1}. What is prob of picking 2 u?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 5*r = -28, 5*y = -r + 21 + 14. Let o = 31 + -22. Calculate the least common multiple of o and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -30, -309, -444, -4, -3 in ascending order.\nAnswer: -444, -309, -30, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 14*o**2 + 3*o**2 + 10*o**2. Let i(u) = 72*u**2 + 6*u + 3. Let m(c) = -409*c**2 - 34*c - 17. Let l(f) = -17*i(f) - 3*m(f). What is b(l(z))?\nAnswer: 243*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/1 - (-5)\/15. Let k = 5 - 4. Which is the nearest to f? (a) k (b) 2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 87 + -111. Let f be 1\/(((-30)\/w)\/5). Solve 0 = -4*b - 0*b - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 6, 7, -2, -27, -74?\n\"Answer: -o**3 + o**2 + 5*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -306 + 358. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 21b33 (base 13) to base 7\nAnswer: 343325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**2\/5 + 684*l\/5 + 664 = 0. Calculate l.\nAnswer: -166, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2072 - 6*t**2 + 1143 + 929.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -694 or -696?\nAnswer: -696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 75862, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 3*x + 1. Let l be v(4). Solve -5*d - l = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.729042 millilitres in litres?\nAnswer: 0.008729042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6289109 to the nearest integer?\nAnswer: 2508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -214, -206, -186, -148, -86, 6, 134, 304?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -159711, -638927, -1437613, -2555763, -3993371?\n\"Answer: y**3 - 159741*y**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 3601*q + 187. Is k(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(1\/2)*i)\/i*i\/i**8*i**(3\/8)\/i**(2\/5)*((i*i**(2\/3)\/i)\/i)**32*i*i*i\/i**3*i*i**(-3\/7) assuming i is positive.\nAnswer: i**(-13961\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(220)\/sqrt(4))\/sqrt(5) + -1*sqrt(11)*-3.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1905370, 1905378, 1905390, 1905406, 1905426, 1905450, 1905478?\n\"Answer: 2*v**2 + 2*v + 1905366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 697313 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the second derivative of -2*q**6\/15 - 12*q**5\/5 + 48*q**4 - 640*q**3\/3 - 1311*q + 1. Factor k(n).\nAnswer: -4*n*(n - 4)**2*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/2)\/((-72)\/(-54)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q - 2. Let m(i) = i**2 + i + 2. Let r be m(0). What is the smallest common multiple of (-34 + 4)\/((-3)\/r) and x(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(612) + 3 + sqrt(612) + sqrt(612) + -2 + 5 - (1*sqrt(612) + 5)*-2*-2)**2.\nAnswer: 168*sqrt(17) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -32977 and -0.09.\nAnswer: 2967.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -2*v - x, 5*v - 43 + 9 = -2*x. Differentiate -10 + 12 - 2 + v*h + 37 with respect to h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5.026 + 0.026. Which is the biggest value? (a) -10 (b) j (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40303*f - 2 + 3*f**3 + 80503*f - 40200*f.\nAnswer: 3*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4.638 + 2.61. Let y = u + 2.026531. Round y to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -5*t - 8*j + 9*j, -4*t - 2*j = 16. Let v(a) = a**3 + 6*a**2 + 3*a + 1. Calculate v(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 366013309 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**3\/2 + 1923*u**2\/2 + 21321*u.\nAnswer: 3*u*(u + 23)*(u + 618)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 47910 or 47908?\nAnswer: 47908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4005196, -4005210, -4005224, -4005238, -4005252?\nAnswer: -4005266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -285, 4, -2, -5 in ascending order.\nAnswer: -285, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002004 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(-8) - 5\/(-20). Let q = 5 + i. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -264 (base 12) to base 11\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 2*j - 8. Let h be d(11). Let n be h\/(-49) - 32\/(-14). Solve 27 = -3*w - 3*q, -n*q = -4*w + q - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 5*q = -2040 - 3744, 3*q = 3*m - 17328. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-4) - (-9)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-4\/3)*y**(-7))\/(y**(4\/7)*y**(-1\/2)))\/((y*((y*y**2)\/y)\/y*y**0)\/(y**(3\/2)\/(y**(-7)*y))) assuming y is positive.\nAnswer: y**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-2)*w*w)**(-2\/81)\/((w\/w**8)\/(w*w**(-1))) assuming w is positive.\nAnswer: w**(565\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 - 2*x - 2. Let a(b) = b**2 + 12*b + 4. Suppose -10*r + 48 = -14*r. Let i be a(r). Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**5\/4 - 1299*a**4\/4 + 12915*a**3\/4 - 32225*a**2\/4.\nAnswer: a**2*(a - 1289)*(a - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, n: 5, q: 3, e: 2, v: 5}. Give prob of picking 2 q and 1 e.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 870 = -8*v. Let d = v + 253. Let n(z) = 2*z. What is the remainder when d is divided by n(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -41514*c**6 - 61360*c**2 wrt c.\nAnswer: -4981680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 2*r - 3*r)*(0*r**2 + 2*r**2 - 4*r**2).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7437 + 8328 = 62*k - 21683. Calculate the remainder when k is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 25, 49, 89, 145, 217, 305, 409?\n\"Answer: 8*o**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 202 (base 6) to base 3\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/60402 and -113\/302010?\nAnswer: 302010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 157 is divided by 65.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 + -16. Suppose 4*r - 4 = w, -6 = -w - 4*r + 6. Which is the nearest to p? (a) -4 (b) -5\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30543018 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 672535482 to the power of 1\/3, to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -27247*y**4 - 4*y**3 - 816*y + 10759933 wrt y.\nAnswer: -108988*y**3 - 12*y**2 - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s**2 - 60 - 2*s + 60)*(0*s - 3*s + s) + (6 - 4 + 0)*(0*s**3 - 4*s**3 + 2*s**3) - 13*s**3 + 13*s**3 - 18*s**3 + 2.\nAnswer: -26*s**3 + 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1783 + 0?\nAnswer: -1783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0402*337.\nAnswer: 13.5474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from htthtthhthhhthht. What is prob of sequence tth?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/105*5\/(-2))\/((-28)\/(-8)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 20, 2, 1, 42, 82, -1.\nAnswer: -1, 1, 2, 20, 42, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000005809986 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/2*(-18)\/(-1)*(-4334)\/(-3546)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5571516m to millimeters.\nAnswer: 557.1516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of t**3\/6 - 7*t**2\/2 + 16*t + 4. Let g(f) be the first derivative of c(f). Give g(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -5*s**3 - 11*s. Let f be (4\/(-4 + 0))\/((-1)\/5). Let u(h) = 8043*h**3 - h + f*h - 8041*h**3 + h. Calculate 6*o(z) + 13*u(z).\nAnswer: -4*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 287.67 - 286. Let d = y - -1.33. Let m = -10.7 + 1.7. What is the second biggest value in m, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 73508024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be 540099 - (-6 - -12 - 7). Round k to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the third derivative of t**7\/1155 - t**6\/660 - t**2. Solve y(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + u = 27, 939*u - 944*u + 30 = -2*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14 + 19. Suppose 3*t + 0*t = -4*z - 8, -3*t - z = 11. Put k, t, -0.1 in increasing order.\nAnswer: t, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12501.9 + 12501.5. Let d = 474\/2315 - 2648393\/6945. Let q = -381 - d. Which is the third biggest value? (a) 2 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, p: 1, r: 1, i: 2}. What is prob of picking 1 i, 1 z, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 500.5 - 500.0306. Round b to two dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 4778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-583)\/53*(-3)\/99*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-29 - -4)*8\/(-5). Let l be (w\/28)\/(1\/7). What is the third derivative of -11*x**3 - x**3 - 11*x**2 + 9*x**2 + l*x**2 wrt x?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 9\/7*k**2 + 6\/7 - 3*k.\nAnswer: 3*(k - 2)*(3*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(-14) + (-9)\/(-7). Let d = 5 - 3. Factor a + o**d + 2*o + o + 1.\nAnswer: (o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/36 - 218\/12. Let p be ((-3)\/r)\/(10\/(-40)). Which is the nearest to 0? (a) 1 (b) -4\/5 (c) -0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 52995344 and 8.\nAnswer: 52995344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 198 and 31230.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j + 3. Suppose -4*z = -j*f - 183, -5*z + 7*f = 4*f - 225. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 6*h**3 + h**2 - 5*h + 233. Let n(z) = z**3 - z. Let r(p) = g(p) - 5*n(p). Is r(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**4 - 2*w**4 - 3*w**4)*((4 - w - 4)*(1 + 0 + 1) + 4*w - 6*w - 3*w).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-23)\/(-2)*((-12)\/(-2) - -14).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*((-164)\/(-123))\/(4\/15)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -73*p**4 + 11148*p**3 - 8*p**2 + 172*p - 96.\nAnswer: -1752*p + 66888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 242, -5.\nAnswer: -5, -1, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -2*b**3 + 13*b**2 + 717*b - 8287. What is q(12)?\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 7125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 80 - 9*x + 3*x - 80 as t*x + u and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by (6\/9)\/(20\/1920)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 3 + 0)*(-x - x + 0*x) - 10 - 21*x + 10)*(3 - 1 - 9).\nAnswer: 161*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1653 and 6415293?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than 2\/973103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of j**5\/60 - 7*j**4\/24 - j**3\/3 - j**2. Let g(m) = 9*m - 173. Let r be g(20). Determine k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1509061831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 6476, 0, -567, 1\/3 in descending order.\nAnswer: 6476, 1\/3, 0, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -577 times -72?\nAnswer: 41544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 617, 611, 583, 521, 413, 247, 11?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 2*z + 567. Suppose 2*s - z = 247. List the prime factors of s.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 516159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -12, 35, 104, 189, 284?\n\"Answer: -w**3 + 17*w**2 + 3*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 2*w**2 + 6*w + 1. Let p be s(-5). Do 21 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**3 + 11*n**2 + 12*n + 4. Let z be i(12). Let u be -2 + 1*z\/2. Factor -4\/3*s**3 + 2\/3*s**4 + 0 + 2\/3*s**2 + u*s.\nAnswer: 2*s**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q = -4*a + 9*q + 69, 39 = 4*a - q for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 194291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -32*q**2 + 20482*q + 60440. Calculate d(643).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 516, 1999, 4486, 7989, 12520, 18091, 24714, 32401?\n\"Answer: 2*c**3 + 490*c**2 - c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of -128\/15*j**3 - 97\/75*j**5 + 3\/25*j**6 + 0*j + 0 + 27*j**2 + 24\/5*j**4 - 2\/525*j**7. What is z in r(z) = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1408 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2119, -8483, -19089, -33937, -53027, -76359, -103933?\n\"Answer: -2121*f**2 - f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 225 = 2*l. Suppose l = 2*f - 7*f. Is ((-11)\/(-4))\/(f\/(-1020)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 + 14*t**2 - 10*t + 7. Let p be o(13). Suppose 0 = -u + 5*s + 59, -5*s = -2*u + p + 72. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:15 AM and 4:25 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -s + 173*s**2 - 24*s - 36*s**2.\nAnswer: 137*s**2 - 25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t - 5. Let i(q) = 5*q + 14. Suppose 141*m - 941 - 610 = 0. Determine m*y(w) + 4*i(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -1\/2, 512, 1, 17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 13 - -11222?\nAnswer: 11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**3 - 2*m**2 + 3*m - 1. Let f be z(2). Let p be (-12)\/(-30) + 4\/(-10). Suppose 2*l + 3*j - 40 = 0, -f*l + 4*j + 45 + 9 = p. 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 (-1)\/(-2)*(0 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/5*65\/39. Let u(o) = -o**3 - 8*o**2 - 4*o - 6. Let z be u(-7). Sort z, 3, t in descending order.\nAnswer: 3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -171b (base 14) to base 11\nAnswer: -3125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010011000100 - 111?\nAnswer: -1010011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((3 - s - 3)*(-4 + 2 + 3) - 2*s - s + 2*s)*(-2 - 4 + 2) to the form k*s + y and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*p - 417 = -37. What is the second biggest value in p, -9.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -711*h - 7836. Calculate p(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 4 + (1 - (0 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -112*p**2 - 555*p**4 + 102*p**2 - 4 + 559*p**4 - p**3 to the form l + s*p**3 + i*p**2 + u*p + t*p**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((235\/(-5))\/1)\/(1183\/(-1014)*(-3)\/7)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3*1*15\/(-9). Suppose 0 = 4*d - z + 1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -32447*h**3*p**3 - h**3*p - 3*h**3 - 4*h*p + 16*p**2 wrt p?\nAnswer: -194682*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - 3.2. What is the biggest value in -1, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -617, -1267, -1931, -2609?\n\"Answer: -7*x**2 - 629*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 268559468?\nAnswer: 2, 37, 49043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, 3413, 0 in increasing order.\nAnswer: -4, 0, 2, 3413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*o**2 + 32\/5*o + 24\/5 + 14\/5*o**3 = 0. Calculate o.\nAnswer: -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16506 + -16505.9. What is the nearest to a in -8, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*s - 48*s - 2*s**3 + 4*s**3 - 43*s - 43*s + 172*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 2. Let k(v) = -7. Let i(m) = -k(m) - 3*w(m). Let j(r) = 4*r**3 - 4. Calculate -4*i(n) - j(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of d**7\/42 + 97*d**6\/60 - 153*d**5\/40 - 37*d**4\/6 + 25*d**3\/3 - 972*d. Determine y so that n(y) = 0.\nAnswer: -50, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(3)*-1 + -2 + -1 + 1 + (sqrt(18)\/(sqrt(6) + sqrt(6) + sqrt(96)) - sqrt(3)) + -2)*-2.\nAnswer: -40 - 55*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -459 - -462. Solve a*c - 2 + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 147 = -177. Let s(m) = m**3 + 16*m**2 - m - 2. Calculate the least common multiple of v and s(-16).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -9*m. Suppose 49*y - 45*y = 32. Let d be o(y). Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**2 - 23*f - 1. Let s(u) = 17*u**2 - 43*u + 44. Let r be s(1). Calculate k(r).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/40 + 1\/(-5). Solve -f = -t + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10964 is divided by 73?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 10168203 < 10168216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be 24 + -3 + 0 + -1. What is the highest common factor of l and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-19) - 1121\/(-361). Differentiate -2 + 156*i**k - 156*i**3 - 6*i**4 - 32 with respect to i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 169 + -150 - (-4 + -56 + 20)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k + 2*m + 2, k - 3*m - 77 = -85 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 + 6*c + 10. Suppose -2*r + 9 = -r. Suppose 2*q - 5*l + 11 = 0, -2*l - 34 = -5*q - r. What is the units digit of f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 172.5 - 172.8. Which is the closest to -0.1? (a) 76 (b) -0.2 (c) i (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -240aa2 (base 16) to base 13\nAnswer: -649159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand t**3 + 0*t**3 - 2*t**3 + (0 + t**2 + 0)*(22*t + t + 24*t).\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -6*z**2 - 24*z + 50. What is b(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -q - 10, -y - 6 - 6 = 5*q. Let a be 0\/(-4 - (-2 + -1)). Let n be -13*(2 - (q - a)). What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6 + 2 + 0\/2. Suppose -3*t = -b*l + 3*l + 37, 5*l = -5*t + 5. Let o be (-2 + 4 - 4) + l. Put o, 2, -2 in increasing order.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qwlqkwc. What is prob of picking 1 w and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2902414681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -564dd (base 15) in base 13?\nAnswer: -97c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 189*h + 25. What is u(-3)?\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 49482 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -523355 (base 9) to base 13.\nAnswer: -ab644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -289*c**3*i**3 - 4*c**3*i**2 + c**3*i - 3348*c**2 + 3*i**3 wrt c?\nAnswer: -1734*i**3 - 24*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1949*x**6 - 3*x**4 + x**2 - 5*x + 402?\nAnswer: 233880*x**3 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 5472 divide 1104211296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1211121257 from 4.\nAnswer: 1211121261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4\/3 + -5\/6. Are -4 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*u - 4836 = 18*u - 6*u for u.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {n: 13, q: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -22*q**3 + q. Let a be m(-1). Let s = 26 - a. Find the third derivative of 4*g**6 - 8*g**6 + 11*g**2 - s*g**6 wrt g.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v + 1. Suppose -2*i + 6 = 2. Suppose -3*s + 9 = -2*y, 4*s - i*s + 4*y - 6 = 0. What is l(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*s - s - 2*s**2 + 2*s + (5*s**2 - 4*s**2 + 0*s**2)*(-1 - 1 + 3) to f*s**2 + z*s + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4290 and 64919140.\nAnswer: 194757420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of (18801\/36 - 5) + (-1)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + m + 12 = 0. Suppose a - m = -a. Suppose a*w - w - 33 = 0. What is the highest common factor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -66\/245 and 58\/245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 4*i + 8*i = -34, 3*d + 3*i = -30. Let l be (-18)\/6 + (2 - 3)*d. Solve 4*k + 3 = l*k, 5*k = 2*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 1600*w - 46035 = -1601*w, r = 3*w + 11499. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*s - 175 + 346 - 171.\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are 4885 and 5038 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -15 in 3\/4, -7, 2\/3, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.4 + -6.59224\nAnswer: -6.19224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5 * 278\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of 4*l**6\/3 - 6*l**5 + 21*l**4\/2 - 26*l**3\/3 + 3*l**2 - 2087. Determine c so that g(c) = 0.\nAnswer: 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -24, -5, 11.\nAnswer: -24, -5, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 8, e: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -27 + 29 - 39*r**4 + 41*r**4 - r + r**3 to the form s*r + v*r**4 + d*r**3 + g*r**2 + f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 + u**2 - u - 1. Let f(y) = 978*y**3 + 2*y**2 + y + 31. Let l(v) = -2*b(v) + f(v). What is the second derivative of l(d) wrt d?\nAnswer: 5856*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 4, 2\/17, -13409, 2\/9 in ascending order.\nAnswer: -13409, -5, 2\/17, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {f: 1, z: 4, a: 2, r: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that h**5\/4 - 569*h**4\/4 - 2295*h**3\/4 + 1701*h**2\/4 + 5157*h\/2 = 0.\nAnswer: -3, 0, 2, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -748\/2667 + -2\/381. What is the nearest to c in 1, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w + 4*w + 3*w + 4*w - w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -80778302.\nAnswer: -5\/80778302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -152 + 159. Let l(i) be the third derivative of i**2 + 0 + 1\/45*i**b - 1\/18*i**4 + 0*i**3 + 0*i + 1\/60*i**6 - 1\/30*i**5 + 1\/168*i**8. Factor l(a).\nAnswer: 2*a*(a + 1)**3*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-99 + 99 - 9*x)*(-138*x**2 + 52*x**2 - 218*x**2) as z*x**3 + y*x**2 + m + k*x and give z.\nAnswer: 2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12 + 106. Suppose f = -3*l + 7*l - 10, -2*f - 26 = -5*l. Let h be 6\/27 + b\/f. Sort h, 4, 5.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25 (base 14) in base 12?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -349, -575, -801, -1027, -1253?\n\"Answer: -226*y - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -4*k + 125 + 127 - 248 - k**2. Let a be y(-4). Solve 0 = -p - 2*h - 10, 0 = -p - a*h - 0*h - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 86 + -58. Let o = -6 + l. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8076921 is divided by 118778.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 75117 by -495.\nAnswer: -25039\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**7\/(y**6\/y))**(-41)*((y**(-2\/3)*y)\/((y\/y**3*y)\/y))**(5\/4) assuming y is positive.\nAnswer: y**(-949\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(64))\/sqrt(2).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -935\/3 - -311. Let q = 0.1 - 0.3. What is the third smallest value in o, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.23 from -317.412.\nAnswer: -317.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 AM and 5:50 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01334 to four decimal places.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 62 = -137. Let n(g) = -g**2 + 20*g + 126. Let z be n(p). Let m(j) = j**3 - 2*j**2 - 3*j + 3. Let c be m(3). Put c, -8, z in increasing order.\nAnswer: -8, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**5 - 23138*v**4 - 89212412*v**3 - 114578433340*v**2 + 229424596478*v - 114756927586.\nAnswer: -2*(v - 1)**2*(v + 3857)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 302499882.\nAnswer: 2, 3, 73, 230213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 0 + 5 + 88*u + 87*u. Suppose -1836 = -23*l - 1376. Is a(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-203 + 61*y**2 + 203)*(-16*y + 3*y - y).\nAnswer: -854*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2 + 1244*c + 1242.\nAnswer: 2*(c + 1)*(c + 621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k**2. Let a(p) = -2*p + 5*p - 5*p. What is y(a(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v + 25 - 11 = 0. Find the third derivative of -67*j**5 + 37*j**5 + 57*j**5 + 107*j**v wrt j.\nAnswer: 1620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -30*t**2 - 3*t + 4. Let l be a(1). Let u be l\/58*(-1 - -1). Solve -5 = 5*d - u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -7. Let n = -5.9 + 73.9. Let x = 74 - n. Which is the second smallest value? (a) x (b) 2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -2*a + 677 - 135, 1355 = 5*n + 3*a. Calculate the remainder when 545 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 2772457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 904317.6 kilometers?\nAnswer: 904317600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6721*m**2 - 409*m + 409*m + 2.\nAnswer: 6721*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12350\/1729 + 1\/(-7). Let m(d) be the second derivative of 0*d**2 + 10*d + 0 - 1\/28*d**s + 3\/40*d**5 + 0*d**3 - 1\/8*d**4 + 1\/20*d**6. Factor m(t).\nAnswer: -3*t**2*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 5*o + 24, 0 = -n - o + 6*o + 22. Suppose -26*q + 27*q - n = 0. Does 9 divide 19 - (2 + q\/((-4)\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.3963129162 rounded to 3 decimal places?\nAnswer: 1.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3326.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**7\/p)\/p**(1\/2))\/(p\/(p\/(p\/p**(3\/5)))*p\/p**(1\/4))*(p\/(p\/((p**7*p)\/p*p))*p*p\/(p**1*p))\/(p**(-2\/5)*p)**1 assuming p is positive.\nAnswer: p**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 227065 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4013 a factor of 77607407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*g**4\/2 + 31865*g**3 + 72531568*g**2 + 20720704*g.\nAnswer: g*(g + 4552)**2*(7*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*s - 324*s - 191*s + 1073*s - 98*s.\nAnswer: 371*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-two fifths of a millimeter in micrometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -36*t**5 - 690381*t**4 + 377733300*t**2 wrt t?\nAnswer: -2160*t**2 - 16569144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -12*z. Let f(m) = 53073*m. Give r(f(n)).\nAnswer: -636876*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -23, -105, -305, -683, -1299, -2213, -3485, -5175?\n\"Answer: -10*n**3 + n**2 - 15*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -14*p**2 + 2*p**5 + 2*p**5 + 14*p**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9b (base 12) in base 2?\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zvw when three letters picked without replacement from {v: 2, z: 6, b: 3, w: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 922369, 1844780, 2767191, 3689602?\n\"Answer: 922411*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 4*w = -24, -3*p - 882306*w - 24 = -882305*w for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -21012020010 (base 3) to base 10\nAnswer: -141591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d - 9 = -33 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 b, and 2 g when four letters picked without replacement from ffgffghzb.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -0.5 (c) 1\/3 (d) 283 (e) -0.1 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 126497155 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 661 - -204. Let m = 865.0399 - s. What is m rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.014 - -0.006. What is p rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, q: 5, d: 7}. What is prob of picking 4 q?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 39*g**3 + 3*g**2 - 26*g + 19. Suppose -31*a - 84 = -52*a. Is j(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -2*b + 2*b + 3*b. Let g be x(6). Calculate the greatest common factor of 72 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 173 = -t + g + 164, -5*t = 3*g + 69. What is the closest to t in 6\/7, -3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 45 + 89 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*p**2 + 204*p - 208.\nAnswer: 4*(p - 1)*(p + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-22)\/99*(-6)\/4. Put -3, -6, -0.0284, h in descending order.\nAnswer: h, -0.0284, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**3 - 4*j**2 + 4*j**2)*(0*j + 5*j - j) + (4 - 2 + 0)*(4*j**2 + 8*j**4 - 4*j**2).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(720)*1 + sqrt(720))\/(sqrt(360) + 1*1*sqrt(360) + sqrt(360)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 185589176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j + 5 - 2, j = -2*s + 43. Let y = s + -19. Solve -y*n + 6 = -2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 120604 and -1061?\nAnswer: -127960844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 206*k + 6804. What is the remainder when j(-27) is divided by 67?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(612)*-2 + sqrt(612) + 4 + 2*sqrt(612)*4 + sqrt(612))*-5)**2.\nAnswer: 9600*sqrt(17) + 979600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (80\/(-8) - 60\/(-4)) + 183. Solve -5*i + l = -5*n + 153, 23 = 5*i + n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -107*q - 11*q**3 + 45*q**3 - 224*q + 77*q.\nAnswer: 34*q**3 - 254*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2109?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1.826371mg in micrograms?\nAnswer: 1826.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**5\/3 - 1412*s**4\/3 + 98804*s**3 - 15871760*s**2\/3 + 30859922*s\/3 - 5094388 = 0. What is s?\nAnswer: 1, 78, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 152370 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 16*n**3*t**2 - 15153*n**3 + 615*n**2*t**2 + 11*n + 2 wrt t?\nAnswer: 32*n**3*t + 1230*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -74, -96, -118, -140, -162?\n\"Answer: -22*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2 + 1. Let w(j) = -8*j**2 + j + 8. Calculate 14*v(z) - 2*w(z).\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 6547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g + 2*g + 2*g)*(-72*g**2 - 3*g**2 - 15*g**2).\nAnswer: -180*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-2*sqrt(95)\/(-2*sqrt(5) - sqrt(5)) - (((sqrt(95)*2)\/sqrt(5) + (sqrt(19) - (sqrt(19) + sqrt(152)\/(sqrt(8)*1))))*3)**2.\nAnswer: -171 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8236 divided by -10.\nAnswer: 4118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3493, -3491, -3489, -3487?\nAnswer: -3485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l**(-8\/3)*l**(3\/2)*l**(-10)*l*l*l*l**(-8) assuming l is positive.\nAnswer: l**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = -5*h, 0*u = -5*h - 4*u + 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1397 is divided by (588\/(-35) + 17)\/(1\/50).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6 + 2*l**4 - 4 + 6*l**4 with respect to l.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37533.\nAnswer: 3, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -4.5 - -58\nAnswer: 53.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2\/7 + 67722*w\/7 - 757224.\nAnswer: 3*(w - 78)*(w + 22652)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25.75 + 4.85. Let f = 22.725 + h. What is f rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 104797 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the third derivative of d**6\/120 - d**4\/24 - 3*d**2. Suppose 0 = -q - 5 + 2. Let v(r) = 4*r**3 - 3*r. What is q*u(y) + v(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*c + 0*c - c)*(c**3 + 0*c**3 - 3*c**3) + (0*c**3 - c**3 - 4*c**3)*(-11 + c + 11) to m*c**4 + x + n*c**2 + z*c**3 + h*c and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 163767 and 160291.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*y + 14*y + 10*y - 38*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -49 + 49. Solve 2*s = z - 2*s - 14, f = 5*z + 4*s + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 + 8 - 13 + (0 + 4 - 6)*(-1 + 1 - 1) + 1 - 3 + 1)*(0*h - 12*h - 9*h)*(6 - 2 - 1).\nAnswer: 1134*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6327 is divided by 624?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 130 in 3.3, -73, -26?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -0.01 (c) 0.36 (d) 4 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and 2.722611.\nAnswer: 10.890444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/200*-6)\/(75\/125).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/32110 and -107\/11585288.\nAnswer: 57926440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -532.5 + 532. Sort -6, 8, u.\nAnswer: -6, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3b01 - 11?\nAnswer: 3ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0.1, 0.3, 5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be -259 - -1*(5 - 4). Let m = 378 + v. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 338275?\nAnswer: 5, 7, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 3*g, 3*g + g + 22 = 5*t. Suppose t*o + 3*o = 975. What is the units digit of o\/27 - 6\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2.5 equal to -1926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 285*t - 2223. Give q(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -33199710 divided by 54785?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -22856, -45710, -68564?\n\"Answer: -22854*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 96 is divided by 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 101.8, 71, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is f in -4056*f**5 + 113571*f**4 + 154044*f**3 - 1022226*f**2 - 1057860*f + 783 = 0?\nAnswer: -3, -1, 1\/1352, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 456*s - 653*s - 55008 = 567*s for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*(2020\/(-60) - -37).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 288240480 divided by 800668\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 587280, 1, 7 in descending order.\nAnswer: 587280, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 161997 - 85966. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-695*n - 307*n + 672*n)*(-6*n + 0*n + 4*n)*(2*n + 5*n + 0*n) as m*n + x*n**3 + v*n**2 + b and give x.\nAnswer: 4620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 46 - 37. Suppose 3*j = -1 + 19. Suppose -u = -4*u + j. Solve 0 = -u*l + l - 4*z + k, 5*l = 3*z - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, x: 1, m: 10, e: 1, a: 3}. Give prob of sequence aem.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 + 19 = -8*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -2*q**2 - 7*q + 266. Let p be h(-13). Solve -28 + 9 = -p*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 12 and -0.081.\nAnswer: 11.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 18 and 6867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*y = 22*y - 15. Let q(o) = -o**2 + 6*o - 4. Calculate the lowest common multiple of 32 and q(y).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 3*k**2 + 5*k + 2. What is o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -6*c - 8. Let a be f(-6). Suppose 2*u = -2*z + a, u - 3*z - 24 = -2*z. Let n = -5 + u. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 1 (c) 3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - 4. Let h = 0.21 + -0.11. What is the third smallest value in h, -5, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -3*b. What is i(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/(0 - (1 + -2)). Suppose 6*c - 17 - 25 = l. Suppose -9*m = -c*m - 146. Calculate the remainder when m is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -53 + 55. What is the third derivative of 23*a**3 + 7*a**n - 3*a**2 + 0*a - 6*a**2 - a wrt a?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4945 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -120\/2312603 or 0?\nAnswer: -120\/2312603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 + 8*o - 6. Let d be v(6). Suppose 4*y - 3*j + d = 3*y, -2*y + 4*j = 6. Solve -2*p - 13 + y = -n, -4*n = 4*p + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 220342144 - 0?\nAnswer: 220342144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and -5932.\nAnswer: -23728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -114514 + -13?\nAnswer: -114527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor q**4 + 6010*q**3 - 126531*q**2 + 723512*q - 1254448.\nAnswer: (q - 13)*(q - 4)**2*(q + 6031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18*(-2660)\/1470*((-5)\/(-5))\/(3\/1).\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.6 + -1.4. What is the closest to 3 in -0.2, s, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, h: 3, r: 2}. What is prob of sequence horr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -4.883 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, g: 3, l: 1, a: 2}. Give prob of sequence pg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**2 + 5*o + 4. Suppose -5*g = -y - 26, 0*y - 4*y + 2*g - 32 = 0. Let i be u(y). Suppose 2*k - i = k. Solve -5*n = k + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 103, 203, 303?\n\"Answer: 100*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19)\/(-5) - 0 - 60\/(-132)*-11.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/468572 and 51\/99121.\nAnswer: 5154292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -176 by -44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**2 - 11*z - 12. Let l be i(12). Suppose l = 5*r - 8*r + 9. Let q be ((-16)\/6)\/(4\/(-12)). Solve -j + r*j = q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t - 10. Let o be n(-12). Let s be 4*o\/4 - -28. What is the highest common factor of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7430274 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 PM and 7:34 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 181059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -20\/39 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3140\/9 or 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 2*l = 15, 5*l = -2*a - 0*l + 6. Find the second derivative of -5*d**4 + d**4 + a*d**4 - 3*d wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 17607830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**2 - 9*x + 7. Let b be w(8). Let j(t) = -36*t**3 + t + 1. What is the units digit of j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and -53.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1964?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 2 - u + 3*u + 7 - u. Let y be x(-4). Sort -0.2, y, 1.3.\nAnswer: -0.2, 1.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.1, -11\/2, -2\/217, -4, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(14)\/sqrt(50) + 4.\nAnswer: sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 9015701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -74 + 43. Let h = l + 39. Solve 2*d - 4*d - h = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3757 - 18687. Let o = r + 27530. Round o to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llrlrrrnrrrrnnllllnl. What is prob of picking 4 r?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of -574494033.6 and -16615.2.\nAnswer: -574510648.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 912202 - 912201.984000325. Let c = -0.016 + o. What is c rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:00 AM and 1:00 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-7)\/2*-3*13040\/210 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*z - 416 = -5*z. Solve 0 = -3*n - 3*m + 5 + z, 2 = 2*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17251833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 321524417.\nAnswer: 17, 18913201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*v - 4 - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (((-6)\/(-2))\/(-15))\/((-25)\/(-10))*(-2045)\/(-4908)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91 = 77*z - 147 - 98. Let p(y) = -2*y - 4. Let s(f) be the first derivative of f**2\/2 - f - 1. Determine z*s(n) - p(n).\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes after 10:03 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1462 divided by 86?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6754*d**3 - 2001*d**3 + 6228*d**3.\nAnswer: 10981*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -21\/2? (a) -3 (b) 3.8 (c) 0.025 (d) 2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 229 + 74 = 0. Let v = 88203\/35 + -2519. Find the common denominator of i\/2*(-4)\/(-3) and v.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1580 - 1592) + 8 + -1 + -1 - 29?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 4*q + 111. Let t be -3*(-28)\/q*5. Which is bigger: -13 or t?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 16\/6 + (-6)\/9. Let k = -6.3 + 6. Which is the third biggest value? (a) k (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000008536 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve x**5\/2 + 11*x**4\/2 - 2877*x**3\/2 - 8711*x**2\/2 + 1438*x + 4350 = 0.\nAnswer: -58, -3, -1, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d + 2*d - 3*d)*(1 - 1 + 3).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16 - -15) + -16 - -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 + 10. Suppose 2*o - 2 = d. Let p be (2 - (o - -2)) + 18. Solve -3*c + 0*j - 15 = j, -p = 3*c - 3*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 * -1778\nAnswer: -8890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 + 3*m**2 + 7*m + 5. What is g(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -18 divided by -4\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) -0.4 (c) -2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 47\/4 of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6585985 to the nearest integer?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1696 and 365064.\nAnswer: 1460256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 42, 159, 356, 633?\n\"Answer: 40*n**2 - 3*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -9, 1, 27, 75, 151, 261, 411?\n\"Answer: u**3 + 2*u**2 - 3*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1723 (base 9) to base 13\nAnswer: 7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*y**5\/4 + 429*y**4\/2 + 23715*y**3\/4 + 43200*y**2.\nAnswer: 3*y**2*(y + 15)**2*(y + 256)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of y**5\/60 - 7*y**4\/24 + y**3\/3 - y**2. Let r be u(6). Let d = r - -5. Let g(p) = 5*p**3. Calculate g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 24714 by -12357.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -3*j + 2. Let q = 46 - 25. Suppose q - 5 = 8*l. Suppose 5*y + 3*v - 48 = 0, 0*v + l*v = 3*y - 25. Let t(w) = 7*w - 5. What is y*a(n) + 4*t(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*d = 15*d. Suppose 2*p + 2*u - 4 = 0, d*p + 5*u = -p - 18. Suppose 0 = 9*b - p*b - 600. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7546 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (((-3)\/(-2))\/(-3))\/((-10)\/20). Calculate the common denominator of (-21 - (1 - f))*(-10)\/(-144) and 94\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 170300, 681157, 1532590, 2724599, 4257184?\nAnswer: 6130345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 263\/2 + -134. What is the third biggest value in x, 0.2, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-89 - -66) + 7\/1. Let a(s) = s**3 + 17*s**2 + 17*s + 20. Determine a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 23*g**4 - 6*g**3 - 6*g**2 + 54. Let m(z) = 45*z**4 - 11*z**3 - 11*z**2 + 107. Let r(v) = -6*m(v) + 11*w(v). Find the first derivative of r(k) wrt k.\nAnswer: -68*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, b: 1, y: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 20023894129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 28b5b + a?\nAnswer: 28b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.287 + -18.408. Let h = 115.811 + d. Let c = h - 100. Round c to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9036121*t**2*z**3 + 4*t*z**3 + 44*t*z + t + 1354*z wrt t.\nAnswer: 18072242*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2336, -2349, -2372, -2405, -2448, -2501, -2564?\n\"Answer: -5*n**2 + 2*n - 2333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 2 - 0. Let s(w) = -6*w**3 - w**2 - w - 1. Let u be s(p). Let h = u + -3. What is the smallest common multiple of h and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y - 1. Let w be 15\/10 + (-2)\/4. Let j(i) = -5*i - 8. Let k(h) = w*j(h) - 5*n(h). List the prime factors of k(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -78 + 16?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/10*385\/(-154))\/((-4)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11571, -46337, -104281, -185403, -289703?\nAnswer: -417181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*(b\/(b*b**(1\/2)*b)*b)\/b*b)**47\/(b**(-1\/2)\/b)**(4\/5) assuming b is positive.\nAnswer: b**(247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 3, 4, 1\/703, -1\/5?\nAnswer: 1\/703","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 39\/7? (a) 1\/2 (b) -0.3 (c) 0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - -2) + -12 + 1. Suppose 0 = -15*f + 8*f - 42. Is f > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -989, -2677, -5071, -8171, -11977, -16489, -21707?\nAnswer: -27631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -209165465*u**2*x**3 - 5250*u*x**2 - 2*u*x + 462*u - x**3 + 2 wrt u.\nAnswer: -418330930*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + (-15 - (-6 + -5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/2 and 53\/16263.\nAnswer: 32526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 184534 and 64560?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 891641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 48, 43, 34, 21, 4, -17?\n\"Answer: -2*c**2 + c + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3000 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35657*w = 35681*w - 288. Solve -65*t - w = -59*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -36 - -11 - -23 - (7 + (-48 - (-7 - -7)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7571111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:20 PM and 12:50 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 2 a when four letters picked without replacement from {i: 1, a: 2, j: 6, p: 5, h: 3}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 529821 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 75 and 103485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 14458187 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-5 + ((sqrt(99) - sqrt(99)*2)*-1)\/(sqrt(90)\/(2*sqrt(10) + sqrt(10))))*-5)**2.\nAnswer: -18750*sqrt(11) + 77500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 21*a**3 + 13*a - 6. Let l(c) = -23*c**3 - 16*c + 5. Calculate 4*l(o) + 5*q(o).\nAnswer: 13*o**3 + o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.3 + -0.5. Let s = 535 - 538. Sort q, s, -0.02 in decreasing order.\nAnswer: -0.02, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 137077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 12 = 3*w. Suppose -w*z - 1\/3*z**4 - 4\/3 - 2*z**3 - 13\/3*z**2 = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*w - 22*w + 15*w - 4.\nAnswer: w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + 1 - -8) + (-7 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.052 - 0.069360721.\nAnswer: -2.121360721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1879599, 3759173, 5638747, 7518321, 9397895, 11277469?\n\"Answer: 1879574*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 14371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 1, -5, -2, 25 in decreasing order.\nAnswer: 25, 11, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/3)\/(3 - 17\/6). Let n be (-69)\/(-46) - 3\/r. Suppose -3*m + 4*d + 1 = 3*d, 0 = d - 5. Solve -3 - n = -m*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 72150578 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10 + 41*b - 30 + 17*b + 9 + 13 to k*b + t and give k.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -28*l - 80. Let x(s) = 238*s + 672. Let g(q) = -42*r(q) - 5*x(q). Let w(f) be the second derivative of -f**3\/6 + f. Give g(w(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - -14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1303618.\nAnswer: 2, 651809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**3 + 6*b**2 - 2*b - 7. Let k be a(-6). Suppose -2*w + 5*w - 486 = 3*n, w = -k*n + 180. Is w - (3 - (3 + -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 times -0.1?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 41088 and 3151578?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10852428 is divided by 249.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 1959*p - 5180 = 6020 + 18185 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*a + 5 = 5. Solve -b = -4*c + 12, -b - 7*c + 2*c + 15 = a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nnbb when four letters picked without replacement from nnnbbnnbnbbnbnnbnbbn.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -0*a + 190. Suppose -a = -4*f + 66. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 1 = 3*w, -39*w + 37*w + 14 = -3*c. Let v = 50 - 35. Let s be ((-2)\/(-5))\/((-27)\/v). What is the nearest to -2\/7 in s, w, 3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3056 divided by -2.\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 8) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes after 5:51 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*y - 6*y - 55 = 5*a, 3*y = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 28 and 2142.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -5199*d - 10390. Give k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2956381?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6835864.\nAnswer: 2, 7, 122069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 - 11*x + 21*x - 2*x**3 - 11*x + (-x - 3*x + 5*x)*(4*x**2 + x**2 - 4*x**2).\nAnswer: -x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 + 8*f - 12. Let d be v(5). Suppose 3*g + j = 1 + 9, d*g - 22 = -4*j. Solve 5*a = 4*t + 5, g*a + 2*t = -t + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1126 - 25?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1213 + 3?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 5*i + 25 = -3*l, 0 = -4*i - 12. Let p = l - -37. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.384908*2196\nAnswer: 845.257968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/9*(3402\/420)\/(6\/5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is p in -p**2 + 8499664*p - 18061072028224 = 0?\nAnswer: 4249832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -7\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*z + 3*z + z)*(-z + 3*z - 8*z)*(3 + 1 - 2) + (2*z - 3 + 3)*(7*z - 22*z - 31*z) in the form i*z**2 + r + v*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 + 3 - 5 + (3 + 0 - 2)*(-2 + 4 - 1))*(f - 2*f + 3*f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 339 + -309 + -3 + 46 + (-10 - 0) + -1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2 = -52. Let a = -14 - u. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3 + 21\/(-6))*(-16)\/(-8). Let c(w) = -w**2 - 2*w + 2. Let q be c(-4). Is (m\/3)\/(q\/882) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -2*f. Let p be (-12)\/(-30) + (-96)\/(-10). Let d(z) = 10 - 4*z**2 - p. Calculate v(d(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40 divided by -40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f + 31393989100*f**2 + 3*f - 31393989099*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 33629?\nAnswer: -3\/33629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 5*h + 0*h - h + 11*h in the form o + w*h and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide -7655*17\/(255\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 707369 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -1.0274 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-630)\/4)\/(-21)*1866\/5. Which is greater: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 3*f - 5805 = 0, -35*f = -4*m - 34*f - 23272. What are the prime factors of (-11)\/(-55) - m\/15?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -15886166.6782 and -0.08.\nAnswer: -15886166.7582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from xxxxuxu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5452396636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(-1)\/((-28)\/(-8))*7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 6, l: 2}. Give prob of picking 3 t and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -3069*m - 347. Is g(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 5*t - 69 = 47, -5*t - 69 = -2*z. Calculate the remainder when 110 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 13789752 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 - 280?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27 - 1) + -50 + 94 + -91?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -19986 - 4.\nAnswer: -19990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 9*u**3 - 5*u**2 + u. What is o(3)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.231 + -0.031. Let q = -751.96 - -752. Which is bigger: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -71, -76, -93, -128, -187?\n\"Answer: -t**3 + 2*t - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 + (-712)\/96)*4\/(-10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 344062 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**3 + p**2 - p - 1. Let o(t) = -4*t**3 + 3*t**2 + 10*t - 1. Let h(c) = 3*j(c) + o(c). Give h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5507 is divided by 917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 19984.90455?\nAnswer: -19986.90455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 5364, 10714, 16064, 21414, 26764, 32114?\n\"Answer: 5350*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1.3, -496.127, 5 in decreasing order.\nAnswer: 5, 1.3, -496.127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 1079 divide 410773104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 610 minutes after 12:58 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 20 + -3 - (13 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**3 + 17*g**2 - 4. Let o(p) = -3*p**3 - 33*p**2 + 7. Give 3*o(i) + 5*v(i).\nAnswer: i**3 - 14*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 47 = -17. Solve -6 - f = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15715 - -28239. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 0*z = -2*z. Solve z = 2*q - 7 + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/6)\/(630\/(-252))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 + 11*q - 10. Let c be k(-12). Suppose -2*o = c*o. Solve o = 2*z - 0*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33 + -28. Let u = 14 - 11. Suppose -3*t - 9 = u*v, v + 0*t = -d*t + 5. Put -3, v, 1 in increasing order.\nAnswer: v, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1\/2*z**4 + 1\/2*z**3 + 0*z + 0*z**2 + 0 = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 672037 = -50194*i + 50217*i. List the prime factors of i.\nAnswer: 61, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10\/13*l**2 + 8\/13*l**4 + 2\/13*l + 0 + 16\/13*l**3.\nAnswer: 2*l*(l + 1)*(2*l + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 10 + (-2 - -5 - (17 + -11))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xyz when three letters picked without replacement from yrxrrrrzrrrrrrr.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -9*u**2 + 7. Let l(p) = 5*p**2 - 3*p - 27. Let a(b) = -6*b**2 + 4*b + 36. Let o(f) = -3*a(f) - 4*l(f). What is o(s(x))?\nAnswer: -162*x**4 + 252*x**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**2 + 13*w - 9. Let u be k(9). Let z = -14 + u. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 10066952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 - -5 - 59) + 1. Suppose 3*a = -0*a + 423. Let h = d + a. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the second derivative of l**4\/3 + l**3\/3 + l**2\/2 + 4*l. Let q = 41 - 39. Let v(i) = -i**2 - i + 1. Give q*v(g) + x(g).\nAnswer: 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-36)\/8 - (-3 + 960375\/(-10)) - -8?\nAnswer: 2, 13, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.213882738 + 26.839049268. Let f = k + -22.934164. Let g = f + 0.309. Round g to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8685.76 millennia in years?\nAnswer: 8685760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 5:09 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -11293928 divided by -2823482\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3206147904816 plus 5?\nAnswer: -3206147904811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 5, a: 6, c: 2, o: 1, z: 1}. Give prob of picking 1 c and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 12*o**2 - 897*o + 1529. Determine t(73).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n + 7. Let a be ((-11)\/2 - -5)\/(1\/(-4)). What is the remainder when 130\/15 + 20\/(-12) + a is divided by v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2, -2\/75, 0.1, -5\/7 in ascending order.\nAnswer: -5\/7, -2\/75, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be 117076 + 4 + 6\/(-3). Suppose 5*f + 250000 = -t, -t + 5*f - 132922 = g. Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101 - -100101110110?\nAnswer: 100101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -1074*i + 1068*i + 3 + 33 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 87*a**2 - 8*a + 11. Let r(t) = 5*t**2 - 2*t. What is f(m) - 5*r(m)?\nAnswer: 62*m**2 + 2*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79*z - 247*z + 5376 = 0. Put 0, 2, -76, -1, z in decreasing order.\nAnswer: z, 2, 0, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5674 + -5633. Solve -46 = -x*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 51 - 44.9. Let c = -6.0999141 + t. What is c rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0)*(u - 6*u + 3*u) - u + 3*u - 3*u + 3*u + u - 3*u + (-1 + 0 + 5)*(3*u - u + 0*u) + 1 - 1 - u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 17 + -17. Let r(f) be the third derivative of -1\/36*f**4 + 1\/180*f**6 + 0*f**3 - 1\/90*f**5 - 2*f**2 + g + 0*f + 1\/315*f**7. Factor r(m).\nAnswer: 2*m*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 4*a - 61, 2*n = -a + 22 - 3. Let z = a - 10. Suppose 9 = -3*r, 5*r = z*s - 23 - 37. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -j + 6*j. Suppose 4 = j*t - 0*t. Solve 18 = t*r - 2*o, 4*r - 3*o = -o + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1))**10)**(3\/20) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((4 + sqrt(275))**2 + -2).\nAnswer: -578 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -449606*-904\nAnswer: 406443824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/8)\/(1008\/(-6272)))\/(2\/(-24)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29 - -36. Suppose x*u - 293 = 260. Suppose -u = -3*k + 125. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*i + 6*i + 1 - 9.\nAnswer: 8*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 805219?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zq when two letters picked without replacement from rsqsqseozoesozrsqs?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(7\/2))**47\/(s\/(((s\/s**1)\/s)\/s))**4 assuming s is positive.\nAnswer: s**(305\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3249513+1.249\nAnswer: 3249514.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 3) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(-5)\/(-2)*(-160)\/100?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1156 a factor of 140881720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 3*a**3 + 4*a + 5. Let g(l) = -2*l**3 - l + 1. Let z = -79 - -78. Let y(k) = z*n(k) - 4*g(k). What is the derivative of y(f) wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 513 + -176 + -240 - (1 + 21)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 497*v**2 + 1514?\nAnswer: 994*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes after 12:20 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.1 + 0.16. Let u = v + 3.94. Let d = -2 + u. Sort d, 2\/7, -4 in decreasing order.\nAnswer: d, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**2 - w - 1. Let u(s) = -s**2 - 1323986*s + 1323986*s. What is q(j) + 4*u(j)?\nAnswer: -2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20653399 and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-16)\/(-8)*14\/4. Suppose 10*b - r*b = 54. Suppose -73 + b = -5*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1828.67327 - -2393\nAnswer: 564.32673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/(-14) - ((-9728)\/(-112))\/(-19). Solve i*k - 3 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19962 + -19963. Is w < -38\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 6*g**2 + 4*g - 16. Suppose -2*y - 6 = -x, -2*x + 6*y = 8*y - 42. Let t(m) = m**2 + m - 3. Calculate x*t(c) - 3*h(c).\nAnswer: -2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*q + 52 + 60. Let o(d) = -d**2 + 16*d - 16. Does 12 divide o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/36 - (-26)\/24.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -43*c + 2089. Does 19 divide j(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13995567821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 9, r: 10}. Give prob of sequence ppp.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 127 + 13 = 2*s. What is the tens digit of (-3)\/6 + s\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -121375\/14 + 8664. Calculate the common denominator of y and 4\/(-48)*(-276)\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 34040 - 2524?\nAnswer: 31415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((9251\/1044)\/319)\/(1\/(-4)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (2 + -7) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 10:56 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**2 - 42*q + 1920. What is f(-69)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 42402*w + 6 = 42403*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 36555 and -4?\nAnswer: -146220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c - 4*c + 3*c)*(0 - 3 + 1) - 4 - 2*c + 4.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1582042864?\nAnswer: 2, 98877679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -231, -882, -1951, -3438, -5343?\nAnswer: -7666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3\/(-13))\/(-36 - 61740\/(-1716)). Suppose -i + 6*i = 40. Solve 35 - b = i*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 320171035\/(-2224050)*-33642221426 + (-2)\/(-4). Let c = o - 4843085746124. Let i = 2\/14827 + c. Find the common denominator of i and -89\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**2*v*v*v)\/v**(1\/6)*(v**(-3\/7))**(-37) assuming v is positive.\nAnswer: v**(911\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -89, -138, -211, -320, -477?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -44 divided by -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in -1, 3\/8, 0.3, -15\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 13 = 5*z. Find the common denominator of (3\/14)\/(z\/44) and 41\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1445 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/((x\/(((x**(-3\/8)\/x)\/x)\/x))\/x)*x*x**(-2\/3))\/((x*x\/x**(-6)*x)\/((x\/(x\/(x*x\/x**(1\/9)*x)))\/x)) assuming x is positive.\nAnswer: x**(-659\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.038? (a) -2 (b) -6\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 196 and 49196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 - a**2 - 4*a - 3. Suppose 0 = -3*m - 2*t + 19, 2*m + 5*t + 3 - 23 = 0. Suppose -5 - 5 = m*h. Give i(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 25*i**2 - 405*i + 1225. What is d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 959867, 959871, 959875?\n\"Answer: 4*x + 959863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11346 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -59, 465, 1339, 2563?\n\"Answer: 175*g**2 - g - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z + 2 + 3. Let n(x) = -5*x + 1. Let t(r) = -r. Let p = 1 + 3. Let a(l) = p*t(l) - n(l). What is a(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11233\/84 - 936\/7. Is b less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 455243759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04141814 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 + 2\/(-1) - (51 - 37 - -5).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 207254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -660524*m**3 - 10*m**2 + 34312*m - 2.\nAnswer: -3963144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the second derivative of 55*o**3\/3 - o - 44. Let k(x) = -7*x. What is v(k(h))?\nAnswer: -770*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/18)\/(1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 37018089 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84520 is divided by 7181.\nAnswer: 5529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1 + -1 + -6 + 3 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*z + 28 = -2*z. What is the remainder when 34 is divided by (18\/(-8))\/((-18)\/8 - z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 + -3. Suppose -4 = -2*i + z, i - r*z = -0*z + 2. Let p(l) = 0*l + 2*l - 7 + 4 - i*l**3 + 2*l**2. Give p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 14*k**2 + 7*k + 7. Let g(d) = 8*d**2 + 5*d + 5. Let n(y) = -7*g(y) + 5*p(y). Let i(o) = o**2. What is -5*i(q) + n(q)?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-47 + (8 - (25 - 175))).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 299721 is divided by 83.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**3 + 8*c**2 - 5*c - 11. Let v be z(8). Let a = -36 - v. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/((1 - 0) + (-1 - 10)). Which is the smallest value? (a) 2 (b) 1\/12 (c) f (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6489\/5 + -1306. Let c = 108028\/15 + -7197. Find the common denominator of i and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -1983*q + 880. Is c(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**3 - 21*f**2 - 20*f - 85. Calculate v(22).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 2031*a**2 + 44*a - 2037*a**2 + 20*a + (2*a + 2 - 2)*(-2*a + 0 + 0) + (-2*a + a + 3*a)*(a - 4 + 4).\nAnswer: -8*a**2 + 64*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -41*j - 70. Let x be t(-13). Suppose 412 = -3*c + x. Solve c = -2*o + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6813.142 millilitres to litres.\nAnswer: 6.813142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -11666 (base 9) in base 10?\nAnswer: -7836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times -518.71053\nAnswer: 103.742106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -232*y + 228 = -289*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v + 3*y + 15, -y - 4*y = -3*v - 9. Let a be (-2)\/10 - (-696)\/(-145). Sort 1, a, v in decreasing order.\nAnswer: 1, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 22 = -0. Suppose 0 = -v + 2*v - h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h**4 - 3168*h**3 - 597399*h**2 - 31935366*h - 61506432 = 0. What is h?\nAnswer: -832, -111, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4868 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/(-39))\/(-1)*(22 - 28). What is the third biggest value in -4, 2\/9, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 120 = 6*w. Solve -5*k + 50 = -5*n, 2*k - w = 2*n - 2*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the third derivative of q**8\/336 - q**7\/210 - 8*q**2. Factor s(r).\nAnswer: r**4*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/85 and 47\/697.\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 7.71 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b - 16. Let t be q(0). Let j = t + 28. Let w = 36 + -24. What is the lowest common multiple of w and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -2*y + 15, -5*c + 91 = 2*y. Let t(x) = 62 - 62 - c*x + 18*x. Let g(u) = 21*u**2. Give g(t(w)).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be (108\/(-10))\/(24\/(-180)). Let v = z + -28. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -13, -0.2, -4\/9, -2\/3 in ascending order.\nAnswer: -13, -2\/3, -4\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 11901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 2233530 divided by -446706\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2*6\/4*1. Suppose 0 = -z*c + c + 20. Let k(n) = n + 40. What is the remainder when k(-11) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2\/7 (b) -5 (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -3*d + 8. Let m(k) = 29*k**2 - 1. Calculate the remainder when 110 is divided by m(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4 and 2948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -26.5 and -0.04?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2 - 10*f - 7. What is w(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 + 10. Let i = -7 + 3. Let k(z) = z**2 + 2*z - 8. Let c be k(i). Solve d*m - 8 = -c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3 - 5*b**2 + 7*b - 12. Let p be z(4). Let u = 573\/5 + -115. Is u < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 3 - 95*f**3 + 105*f**3 as p*f**3 + v*f**2 + j*f + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4580586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*f**2*t*u**2*x + f**2*t*u - 3851*f**2*t - 5*f**2*u*x - 10033*f*t*u**2 - 2*t*x wrt u.\nAnswer: -14*f**2*t*x - 20066*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 24 = 4*r, 4*r = -5*b + 3*r - 10. Let x = -38846\/39 - -996. Which is bigger: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10868 and 6292?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 + -1. Let a(f) = -2*f - 11. Let w be a(-8). Suppose s = r - 2*r + w. Calculate the remainder when 9 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 3*j - 165 = 0, -3*z - 2*j - 14 = -553. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**3 + 7*c**2 - 5*c - 5. Let u be n(6). Suppose -26 = -3*y - 4*f + u, 3*y = -f + 18. Solve -t = -3*b - 14, -b = y*t + 4*b + 30 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-10)*629448\/16. Let q = m + 7876. Calculate the common denominator of (-2)\/4 + 585\/72 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14 is divided by 2\/8 - (-88)\/32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27 + -26.94. Let r = 0.04 + v. Which is the nearest to 1? (a) 4 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 + 14*i + 15. Let a be d(-13). Let t(n) = -n**3 - 5*n**2 + 3. Let c be t(-5). Sort -5, c, a in increasing order.\nAnswer: -5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 <= -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, -3\/7, 5, 6\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 1\/7, -5, -0.3, -53, 0, -14, -2\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -12, 184, 510, 972, 1576, 2328, 3234, 4300?\n\"Answer: w**3 + 59*w**2 + 12*w - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.2 + -33.2.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 3) + 100 - (-12 - (-44 + 62 - 31)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 3 = 3*q - 3, 0 = 2*s - 2*q + 4. What is the biggest value in 1, s, -41, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 46\/25 + -518\/75. What is the common denominator of 113\/72 and d?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33 - 31. Suppose -5*q + 3*y + 2513 = 0, -d*y = -4*q + y + 2011. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tttuqqqqtqtttqttttqt. Give prob of picking 2 t.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 209354.6t?\nAnswer: 209354600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -7 - 5. Solve 0 = h*r + 3 - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 156*v**2 - 2*v + 1. What are the prime factors of y(2)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f**2 + 4*f**2 + f**2)*(-19 + 38 - 469*f**3 - 19).\nAnswer: -938*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 24863 - 1196?\nAnswer: 23667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3056718302\/12534039 - -70\/198953. Let b = x - -1746\/7. Find the common denominator of 41\/11 and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2160 and 100.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.23 - -0.1053823\nAnswer: 0.3353823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 217.995 days in milliseconds?\nAnswer: 18834768000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 346 is divided by 63.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.66 - -0.7. Let v = y + -0.02. What is v rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**2 - u - 63. What is s(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.3 + -0.1557574419\nAnswer: 0.1442425581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -345\/9511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {g: 5, x: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.055, -101, -1\/35?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(4000)*3)\/(((2*sqrt(392) - sqrt(392))\/sqrt(7))\/sqrt(7)).\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00085164 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.1 and -18156.93868?\nAnswer: 18156.83868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 279420 - 436990. Round m to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 166*y**2 + 5*y - 1. Let n = 35 + -32. Let h be n + (-6 - -5)*(2 - 1). Is f(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-14)\/49 - (-4)\/14. Suppose 5*u - 2*u - 9 = x. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3425309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -538414 and -538413 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 136\/40 + 5 - (-208)\/((-26)\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -8a74439 - -4?\nAnswer: -8a74435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - 30304632?\nAnswer: -30304635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 30272623831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 90 + 12. Solve 402 = -x*v - 210 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 94933 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1013 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m**3 - 487844*m**2 - 1951400*m - 1951408 = 0. Calculate m.\nAnswer: -2, 243926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -44, -59, -54, -23, 40, 141, 286, 481?\n\"Answer: n**3 + 4*n**2 - 34*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence akaa when four letters picked without replacement from {h: 5, a: 5, k: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 566 (base 13) to base 11.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*o**2 + 43*o**2 - 23*o**2 - 20*o)*(-182 - 86 + 10 + 20).\nAnswer: 238*o**2 + 4760*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(j*j**(-1\/6)))**(6\/11) assuming j is positive.\nAnswer: j**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4276 = -1054*q + 667*q - 682*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -113, -87, -61, -35, -9?\n\"Answer: 26*v - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5593\/209 + 505\/19. Which is the smallest value? (a) -1\/2 (b) t (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, n: 2, b: 1, l: 1, c: 4, o: 4}. Give prob of picking 1 n, 1 b, and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-3 + 5 + (sqrt(720) - (sqrt(720) + -2 + (sqrt(720) - (sqrt(720) + 2))) - (1*(sqrt(720) + 0 + sqrt(720)) - sqrt(720))) + -2 + -2)**2.\nAnswer: -48*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13296826?\nAnswer: 2, 6648413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 - 18*i**2 + 39*i - 14. What are the prime factors of p(16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**5\/(f*f*f\/f**(-1)*f)*(f**(2\/3))**(-13))\/((f**(-1))**(2\/3)*(f*f\/f**(-4\/5))\/f*f\/(f\/((f*f\/(f*f**(2\/5)))\/f*f))) assuming f is positive.\nAnswer: f**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/(-10))\/(3*12\/(-90)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -160 - -373. Suppose y + 2*y = f. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -3*x + 4. Suppose 0 = -28*f + 30*f - 6. Determine s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**3 - m**2 - 3*m + 1. Let d be r(3). Suppose 4*t = 6 + d. Suppose -2*o + t = 14, 25 = 5*p - o. Solve -3*n = -4*c + 13, p*n + 4*c - 7 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 38\/(-3)*51\/2. Let o = 534 + s. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 5*q - 9 = 0, 0 = 2*o + 2*q + 2 - 8. Suppose -2*f + o*x + 16 = -32, 5*f + x = 65. What is the greatest common divisor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -9712905*t + 5859944.\nAnswer: -9712905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-4) + (-105)\/140.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h**2 + 599429080*h - 599429085 = 0. What is h?\nAnswer: -119885817, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) 9 (d) -5 (e) -6056\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 246202 and 91729?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14*z**4 - 331*z - 34454 with respect to z.\nAnswer: 56*z**3 - 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 3*t + 38. Let z be y(-11). Solve 0 = 4*x - 4*h + 16, 2*x = h - z*h + 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnf when three letters picked without replacement from ffnnnfnnnnnnnnnnnnf?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 3*j - 33, -3 = -2*o + 4*o - 3*j. Calculate the remainder when 68 is divided by o\/4 + 378\/28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9 - (-2358)\/270)\/((-26)\/30 - (-10)\/(-6))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(196)*1*3*-5)\/(sqrt(693)\/sqrt(11) + (sqrt(847) - sqrt(847)*5)).\nAnswer: 30*sqrt(7)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 92276996 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 240 = 3*g. Suppose -g = -2*a - 3*a. Let b = 9 + 0. Calculate the remainder when a is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11000801 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 28*s**2 - s - 1. Let x be o(-1). Suppose -4*y + 2*y = -x. Let m = y - 7. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**2 + 0*s**2 + 2*s**2)*(-6460*s + 12903*s + 1759*s**2 - 6443*s).\nAnswer: 3518*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 - 13*g + 5. Let z be k(-8). Calculate the greatest common divisor of 495 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(0 + 3*1*(sqrt(19) + 1) + 3)**2.\nAnswer: 36*sqrt(19) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -5*i - 1166, -2*i = i + 4*l + 710. Is (i\/(-45))\/((-1)\/(-5)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13443 or -13429?\nAnswer: -13429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 - 594*a - 4626. Give s(-8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 90500 to the nearest one thousand.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, 40, -1.8, -157, 3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45902372 is divided by 23661?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -50 + 51. What is the highest common factor of g and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 - 11*p**2 + 9*p + 12. Let d be s(10). Let u(y) = 5*y**2 + d*y**2 - 4*y**2. Let n(g) = g. Determine n(u(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -234 + 3 = -11*q. Solve -q = -6*h + 13*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-19)\/19*-3*(-1)\/(-6)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 1 + 37 + 6 + g + 94. What is the units digit of s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y - 10 + 10)*(5 - 1 - 3)*(-5 + 2*y + 5) + 3*y**2 + 0*y**2 - 5*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 + 746*234\/4992.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -62\/17300117 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1791, -3590, -5397, -7218, -9059, -10926?\n\"Answer: -l**3 + 2*l**2 - 1798*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (49\/(-35) - (-72)\/45)*2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 11776883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be -71*2\/8*4. Let p = 127 + z. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:51 PM and 8:03 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2650 or -135?\nAnswer: -2650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -11*o**3 - 3*o**2 - 6. Let a(l) = 32*l**3 + 8*l**2 + 18. Let c(q) = -3*a(q) - 8*j(q). What is the first derivative of c(m) wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 7414546, 7414545, 7414544?\n\"Answer: -k + 7414547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 2 + 0 - (-2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + 7\/5)\/2. Suppose 2*x - 2*i + i - 16 = 0, 4*i = -4*x + 56. Which is the second smallest value? (a) d (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/308 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 p when three letters picked without replacement from ppepppe.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 3:00 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.29958 (b) -3 (c) -970\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 5*j - 58 = 37, -86 = -5*u - 4*j. Suppose -h + 4*v = -9, -2*h + 0*v + u = 3*v. Calculate the remainder when 26 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 153946829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 2*843\/24 + 6\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 37 (b) -0.04 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -396 by 33.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*l = -2*l - t + 5, 19*t = 14*t - 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 11, 0.5, -0.3, -3.\nAnswer: -3, -1, -0.3, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 - 1)*(2*j**3 - 2*j**2 + 2*j**2) + (249398*j**2 - 3911*j**3 - 249398*j**2)*(1 + 0 + 1) to c*j**2 + i + m*j**3 + l*j and give m.\nAnswer: -7826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*n + 40 = -140*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-456)\/20)\/((-22)\/((-5170)\/(-141)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 415 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be 27\/(162\/528) - 3*2. Suppose -x*s = -66*s - 14304. List the prime factors of s.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) 3\/7 (c) 3 (d) -50 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 271*q + 381*q = -227*q - 14064 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/2 + (-10)\/5 + 5. Suppose -4*o = -3*s - 13 - l, -4*s - 21 = -3*o. Let i(v) = 2 - 2*v + 6*v - 2*v. What is i(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -2, -38, 1, 116 in increasing order.\nAnswer: -38, -2, 1, 2, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3314 + -15?\nAnswer: 3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13430 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -9*b**3 - 2*b**2 - b. Let c be w(-2). Suppose -2*t + c = 22. Calculate the least common multiple of t and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hcmxy. Give prob of sequence ycm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3 - 256*z**2 + 2378*z - 2124.\nAnswer: 2*(z - 118)*(z - 9)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10441 - -10442. Sort n, -10, -4, -6 in descending order.\nAnswer: n, -4, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 2*c**2 + 0*c**2 - c**2. Let z(l) be the second derivative of l**4\/12 - 3*l**2\/2 - 3*l. Let v(h) be the first derivative of z(h). Calculate g(v(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**3\/8 - 223*h**2\/4 + 460*h + 2724.\nAnswer: -(h - 12)*(h + 4)*(h + 454)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 107396368127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/(f*f**(-1)))\/f)**(2\/103)\/(f\/(f*f\/f**(-5)*f)*f*f**(-2)*f))\/(((f*f*f**(2\/9))\/f)\/((f\/f**(-3\/5))\/f)*f**(-4)*f**(-4\/7)) assuming f is positive.\nAnswer: f**(3449\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 168, 333, 498, 663, 828, 993?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 0.1, -1\/14, -10300, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 62 - 61.5. Let l(s) = -2*s**3 - 13*s**2 + 7*s + 5. Let z be l(-7). What is the nearest to 1 in j, z, -0.2, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2137201 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*v + 22*v = -2*v + 36*v - 4012 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -332 + 512. Suppose 1024*a - w = 1018*a. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-10)*915\/(-366)*(-6)\/261.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 8*n**4 - 2*n**3 + n**2 - 2*n. Let p(a) = -a**4 - a**3 - a**2 - a. Let o(k) = f(k) - 2*p(k). What is the third derivative of o(w) wrt w?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4\/5, 3\/7, 2\/5, -379, -2\/11, 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + x)*(-2*x - 3*x + 3*x)*(-89 + 4 + 28681*x + 85).\nAnswer: -57362*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -199*l - 5. Let d(z) = -793*z - 18. Calculate 6*d(f) - 22*u(f).\nAnswer: -380*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Calculate -7 divided by 16.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -227*c**4 + 203*c**3*h**2 - 312319*c**2*h**2 wrt c?\nAnswer: -5448*c + 1218*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xpmo when four letters picked without replacement from qixiomooooxxoipoooq.\nAnswer: 3\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -75, 9\/5, -7\/6, -3, 0.3, 4 in descending order.\nAnswer: 4, 9\/5, 0.3, -7\/6, -2, -3, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 8*p + 9*p + 22859 = 0, -18291 = -4*d - 3*p. What is d rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14.489 + 23288?\nAnswer: 23273.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -2*y**2 + 3. Let f(d) be the third derivative of -d**5\/15 + d**4\/24 + 5*d**3\/6 - 61*d**2 + 9. Determine 3*f(r) - 5*z(r).\nAnswer: -2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -2372.92878 rounded to one decimal place?\nAnswer: -2372.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from smhhalmhmmhp. What is prob of sequence pmlm?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from ssq?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 4917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/((-50)\/(-26) - 2). Suppose -3*x - 2*r - 71 = -3*r, -2*x + 3*r = 52. Let i = q - x. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 195728*c**3*f - 8*c**3 + 82*c**2*f - 58*c**2 + 8*c + 4*f wrt c.\nAnswer: 1174368*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - 3. Let a be (3*24\/(-9))\/r. Suppose 4*i = 3*q - 24, a*q + i + 0 = 51. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 219482377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/5 - 46\/10. Let v(g) = 2*g**2 + 8*g + 3. Determine v(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ininiii. Give prob of picking 3 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 13) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 - 9*c + 4. Let r be l(9). Suppose -5*n = 5*o - 35, 2*n + 0*n - 22 = -r*o. Solve o*d = 2*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 21026 times 0.2\nAnswer: 4205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4347363674.\nAnswer: 2, 251, 8660087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -1\/95754?\nAnswer: -1\/95754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16231, -64889, -145943, -259363, -405119, -583181, -793519, -1036103?\nAnswer: -1310903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.7 (c) 4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -224*b**3 + 459*b**3 - 225*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/71 less than 21517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - (2 - -3) - -10) + 641 + -645.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:24 PM and 11:08 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n**3 + 155708*n + 155397*n - 311095*n.\nAnswer: -n**3 + 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 0 - -4) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f + 3. Suppose 3*j - 26 = -j - 3*o, -5 = j - 5*o. Suppose 5 = -j*z + 6*z. Determine y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k**4\/2 - 2089*k**3 - 256193*k**2\/2 + 7951341*k - 1760616 = 0. What is k?\nAnswer: -88, 2\/9, 39, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 5*q + 38, 6*q + 44 = 2*x + 4*q. What is the greatest common divisor of x and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in -9, -0.119, 0, -7\/4?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i + 46. Let r be j(-19). What is the highest common divisor of r and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -3*(-41)\/123*(2 + 0 + 2). Let s = 4 + 0. Suppose p*z - 3669 = -4*i + 5*z, -3671 = -s*i + 3*z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 124*s + 5. Let a(f) = 62*f + 2. Determine 5*a(n) - 2*z(n).\nAnswer: 62*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes after 4:06 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 5 = -2*g - 3*g, -o - 2*g - 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, 0, 10, 0.2, 1 in descending order.\nAnswer: 10, 1, 0.2, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g + 4 - 9 + 11. Let f be i(7). Which is greater: -3\/4 or f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8.65 + -52.65. What is the nearest to 0 in 0.55, g, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.1423 - -3.8668. Let c = 0.0391 - q. Let r = c + -0.03. What is the closest to 0 in r, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, s: 2}. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 21 + 3)*(-2 - 4 + 5)*(-5*k**3 + 5*k**3 - 2*k**4).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-3))\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -311765970 divided by -5.\nAnswer: 62353194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b = -b - n - 23, -b + n = -3. Suppose -2*m + b - 1 = -2*c, -2*m + c + 7 = 0. Solve 5*z = -6*x + x + m, 2*x + 6 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5573, -11140, -16707, -22274, -27841?\nAnswer: -33408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 229.0202 + -0.0202. Let l = d - 222. Which is the third smallest value? (a) -2 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**3 + 48*i**2 + 117*i - 106. Suppose 0 = 4*x + 4*d + 192, 3*d + 15 = -2*d. Let t be v(x). Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -286 + 72 = -2*u + 2*x, -538 = -5*u + 2*x. Let f be -1 - -2*u\/(-8). Is (-424)\/(-14) + 8\/f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8.36 + 8.3609655. Let u = -0.001 + m. What is u rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.1063 - -0.3063. Let f = -0.1 + -0.4. Sort -0.2, -3, r, f.\nAnswer: -3, f, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwjwwwwiwwwjiwjw. What is prob of picking 3 w?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 33 = 9. Find the third derivative of 75*o**2 + 2*o**s - 23*o**4 - 76*o**2 wrt o.\nAnswer: -504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-194)\/(-22) - 0 - 8\/(-44). Let c = -1705 + 5189\/3. What is the common denominator of ((-15)\/s)\/((-24)\/(-56)) and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**3 + b**2 + b. Let y be c(0). Is (y + 10)\/((-8)\/(-4)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n + 48 = -16*n + 16*n. Let a(c) = -3*c**2 + 8*c. Let b(l) be the second derivative of 5*l**4\/12 - 5*l**3\/2 + 2*l. Determine n*b(v) + 11*a(v).\nAnswer: -3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -1198?\nAnswer: 479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.11? (a) -696 (b) -5 (c) 0.5 (d) 9 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (-5 - -1) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13 + 19. Suppose r*u - 32 - 58 = 0. Solve 3*m = -p + u - 2, 3*m - 25 = -4*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the second derivative of -w**7\/168 + w**6\/20 - 11*w**5\/80 + w**4\/8 + 2*w + 14. Let v(t) = 0. Calculate t.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(1008) + 1 - sqrt(1008) - sqrt(1008))**2 - (-2 + sqrt(1008))*5.\nAnswer: -180*sqrt(7) + 1043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*c - 1787 + 119 - 2252 = 0 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 94 - 94. Let u be (-1 + 2)*17310\/(-3 - p). Round u to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -3*i**2 + 15*i + 3. Let s be t(5). Put 4, s, 0 in ascending order.\nAnswer: 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54328977 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 2*sqrt(27) + sqrt(3) + 0 + 4)**2.\nAnswer: 14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 2) + (8 + 1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -99638652 greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be -28 + -1 + (-12)\/6. Let i be -14*(v\/35 + (-33)\/(-55)). Find the third derivative of l**2 + 4*l**3 - l**2 - 7*l**2 - i*l**2 wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 472*f + 98328 = -225*f - 1139*f + 15708 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 10 = 5*g - 1, -5*s + 1 = -3*g. Suppose 0 = 5*r + s*t + t - 193, -5*r = -4*t - 186. List the prime factors of 163\/7 - (3 + r\/(-14)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 114 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 112020122211 (base 3) in base 11?\nAnswer: 181755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1.8, 3, 1\/12, 7 in ascending order.\nAnswer: 1\/12, 1.8, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 10 + (-4 - (3 + -1 + -2)). Solve -a*u + 12 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**4 + 56*l**3 + 176*l**2 + 160*l = 0. Calculate l.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 8*s - 5*s. Let v(b) be the second derivative of -4\/3*b**2 - b + 0 - 16\/9*b**3 + 8\/15*b**5 - 1\/6*b**s + 7\/45*b**6. Solve v(x) = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1b - -26204b?\nAnswer: 26206a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 47*k**2 - 84*k - 20.\nAnswer: (k - 2)*(47*k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18341 + -17316. Calculate the greatest common factor of 451 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 - l - 2. Suppose 6*b + 270 = b. Let a = -47 - b. Suppose -4*g + a = -3*r - 3, 5*g = -3*r + 26. What is i(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*d - 42*b - 30 = -4*d - 40*b, 962*b = -7*d + 3*d + 2922 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67732*w - 210434*w - 4 - 151284*w + 12489*w.\nAnswer: -416961*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, -470, -1 in decreasing order.\nAnswer: 5, -1, -3, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 168 - 79. Calculate the remainder when i is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1298\/5 in -4, -20, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 3613 = -5*k, -2*k - 3611 = -7*k - q. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -202, 1817, 6056, 12515?\nAnswer: 21194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 u, and 1 v when three letters picked without replacement from wztwzuuvmwzwuu?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -5 (c) -1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.812981 rounded to two dps?\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the third derivative of -u**8\/56 + u**5\/30 + 6*u**2. Find the third derivative of b(h) wrt h.\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 37 and 7.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 4613*u**2 - 1751*u**2 + 4.\nAnswer: 2862*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 + 10*s - 177. Let k be z(10). Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -23.5 * 2.737646\nAnswer: -64.334681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 5*i**2 + i - 1. What is the tens digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -3*h**3 + 2*h**2 + 5*h. Let m(u) = -u**3 + u**2 + u. Let y(z) = 20*m(z) - 5*s(z). Suppose y(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**2 + 418654*n + 837312.\nAnswer: -(n - 418656)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 3289\/7 > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j - 3*j + 4*j. Let b(y) be the third derivative of y**7\/5040 + y**5\/60 - 2*y**2. Let f(q) be the third derivative of b(q). Calculate a(f(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 20\/(-21) + 2\/3. Let h(y) = -3*y**2 + 1. Let w be h(-1). Let u be ((-2)\/(-3))\/(w\/(-3)). Which is bigger: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 3*m**3\/4 - 435*m**2\/4 + 3996*m - 3888 = 0.\nAnswer: 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -h**4 - 471*h**3 - 51944*h**2 - 1647936*h + 1700352 = 0.\nAnswer: -328, -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*5*-6 - (sqrt(117) - (sqrt(117) + sqrt(117) + (4*sqrt(117) - sqrt(117)) + sqrt(117) + sqrt(117))*-6))\/((1*1*sqrt(36))\/(sqrt(24)\/sqrt(24))).\nAnswer: -73*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-50)\/(-15) - (-1)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 17 - 22 = 40, -3*x + 15*p + 2*p + 327 = -5*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence waw when three letters picked without replacement from {q: 3, f: 4, w: 6, a: 1}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (-4 + 1)) + -36 + (-5 - -49)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 374014577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be -9*6\/(-3861)*11. Sort a, -4\/13, 0.5, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.5, a, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 127915184 or -0.7?\nAnswer: 127915184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = t - 10 + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 385*a + 2495. What are the prime factors of n(171)?\nAnswer: 2, 5, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168548 (base 10) in base 16?\nAnswer: 29264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23 + 20. What is the third smallest value in q, 0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 83*t - 2119. Let c(r) = 52*r - 1412. Calculate -8*c(s) + 5*w(s).\nAnswer: -s + 701","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 355301206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 208, 448, 848, 1408, 2128, 3008?\n\"Answer: 80*p**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1361 divided by 1361.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*r = 23*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 595277\/4 - 149745. Let m = 926 + b. Suppose m*x**2 - 1\/2 + 1\/4*x = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3, -10, -47, -120, -241, -422, -675?\n\"Answer: -2*w**3 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 3*m + 34518 = 0. Let q = m + 8334. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -34856776*c**2*f + 26176413*c*f wrt c?\nAnswer: -69713552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0006654 to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 4. Suppose 0 = -5*p - a*b + b + 31, -3*b + 33 = 5*p. Calculate the remainder when 17 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -62 - -118. Suppose 0 = -o + 8*o + y. Let b be o\/(-2) + 7 + -9. Calculate the highest common factor of b and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4008, -15824, -35432, -62826, -98000, -140948, -191664, -250142?\nAnswer: -316376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4937311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 + -5. Find i such that 2*i**5 - 3*i**r + 0*i**5 + 0*i**5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46791934 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -35193 in ascending order.\nAnswer: -35193, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 261 a factor of 360702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 5 + -3 - 10 - (9 - -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**2 + 13*l + 15. Let b be g(13). Suppose 10*j = 5*j + b. Solve s = -3*s - 2*x + 6, 5*s + j*x = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 3*d - 6*d = -314, 3*d - 58 = -o. Suppose -5*u - 24 = -o. Solve -5*s + j = -4, -5*j + 12 = -4*s - u*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -123 divided by 1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the first derivative of 0*z - 1\/9*z**2 + 2\/27*z**3 + 3. Determine t, given that l(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1072616 is divided by 27494?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1583, 1553, 1523?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 288519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5)\/(-40)*-4*(-7 + -1). Solve y - 9 = p*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2946, 2966, 3010, 3078?\nAnswer: 3170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.01, 0.284, -1\/4, 1 in decreasing order.\nAnswer: 1, 0.284, 0.01, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 4594 times 93037\nAnswer: 427411978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 45905080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 7.584969 rounded to 2 decimal places?\nAnswer: 7.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 679737245 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1391 (base 14) to base 13.\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 2*k**3 - 9*k**2 + 6*k + 7. Let t be j(6). Suppose 6*w - 191 = t. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68)\/sqrt(256))**2 - -1*sqrt(1088) - (3*sqrt(2057)*-5 + 4).\nAnswer: -239\/64 + 173*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 651 and 249333?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = -108*w - 347 + 732. Suppose 4\/15 - 8\/15*m**w - 6\/5*m + 6\/5*m**3 + 4\/15*m**2 = 0. Calculate m.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 4*d = 25. Suppose 0 = -3*q + 8*q - d. Suppose -q*f + 25 = -160. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cfcc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -46*k**3 + 4*k - 5. Give p(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: a89 (base 12) to base 4\nAnswer: 120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 2946.5333 to the nearest 10.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23324?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 5 + -4 + -1*sqrt(176) + 2 + 3 + -3*sqrt(176) + -1.\nAnswer: -16*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -581, -592, -613, -644, -685?\n\"Answer: -5*g**2 + 4*g - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-17 - -31 - 23) + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of i**7\/42 + i**4\/3 + 9*i + 7. Let b(p) be the first derivative of u(p). Find the third derivative of b(x) wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 90 + -90.2. Let k = -27.89 + 28. Which is the nearest to i? (a) -1 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 5*k + 112. Suppose 2*y - 6*l = -l - 35, 0 = 3*y - 4*l + 49. Let i be (12\/y)\/(6\/(-525)). What is the highest common factor of i and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 3*o**3 + 2*o**2 + 4. Let u = 18 - 0. Let g = -11 + u. Let t(i) = -6*i**3 + i**2 - 5*i**2 + 2*i**3 - g - i**3. Give -7*f(n) - 4*t(n).\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the first derivative of 2*u**3\/3 + u + 33. Suppose 2*v + v + 5*j = 8, -5*v + 10 = 5*j. Give p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.635 * 1.\nAnswer: 0.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50) - (sqrt(200) - sqrt(200)*1))**2 - ((sqrt(2) + (0 + sqrt(128))**2 - sqrt(2)) + -1).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4342 - -111410?\nAnswer: 102013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 + 12. Differentiate -k - 2 - 43*j**3 + 46*j**3 wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2472 + 824 + 822 - 860*u**3 + 848*u**3 + 826.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28909, 57820, 86731, 115642, 144553, 173464?\nAnswer: 202375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41404?\nAnswer: 2, 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0168803 to 4 dps.\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*r + 135 = -47*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 - 19*l**2 + 21*l + 20. Let t be p(-20). Suppose t = -u - 9*u + 670. What is the remainder when u is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 879.21 to the nearest 10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 AM and 6:23 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e and 1 q when four letters picked without replacement from erryqeyeyy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.219075 rounded to three dps?\nAnswer: 0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -194461.764 to the nearest one hundred.\nAnswer: -194500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, -0.1, 1\/4, -1, -532?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 55 - 51. Is (2\/y + -1)\/((-8)\/8656) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -572*v**2\/5 - 1714*v\/5 + 6\/5.\nAnswer: -2*(v + 3)*(286*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 19988395639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes after 7:18 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*m - 3*m + 5*o - 15, 4*o + 9 = 3*m. Let y = m + -1. Find the second derivative of 4*g + 0*g**3 - y*g**3 - 2*g wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 96708 is divided by 50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 856*l**2 - 16*l - 21. Let y(d) = -855*d**2 + 17*d + 22. Let r(b) = -6*s(b) - 5*y(b). Let z be r(-17). Round z to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - (-1 + sqrt(405)))**2 - sqrt(320)*-2.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 16940473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 80 + -85. Suppose 5*u + 140 = 5*n, n + 3*n - 104 = 2*u. Let b = o + n. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11 - -4 - -5) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(200) - sqrt(2)) + 1.\nAnswer: 1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -a8a139 (base 12) to base 3.\nAnswer: -12000201212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 507*j**3 + 11*j**2 + j - 764*j**3 - 10*j**2 as z*j + i + u*j**3 + h*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -74133 or 1087?\nAnswer: -74133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 - 9*f**2 + 4. Suppose -2*y - i = 18, 5*i + 7 = 2*y + 25. Let x be g(y). Put -5, -3, x in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 5*i**4 + i**3 - i**2 - 5*i - 4. Let s(q) = 3*q + q**2 + 11 + 2*q**2 - 14*q**4 + 11*q - 3*q**3. Let a(m) = -11*c(m) - 4*s(m). Factor a(b).\nAnswer: b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16 and 192820.\nAnswer: 771280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 696*d*l**2 + 1959*l**2 wrt d.\nAnswer: 696*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -4\/77, -18, 0.74, 1 in ascending order.\nAnswer: -18, -3, -4\/77, 0.74, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9895 and 45.\nAnswer: 89055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 321 + -321. Which is the third biggest value? (a) 2\/9 (b) 3\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -488.69 + 486. Let p = b + 6.06. What is p rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -82\/117 and -8\/2353?\nAnswer: 21177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -39*p + 18. Let z(t) = -1443*t + 663. Let o(m) = -221*x(m) + 6*z(m). What is o(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -75*u - 2003. Calculate the least common multiple of z(-27) and 7038.\nAnswer: 77418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90217027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of 2*b**5\/5 + 46*b**3\/3 + 121*b - 135. Find the first derivative of u(k) wrt k.\nAnswer: 8*k**3 + 92*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**2\/5 + 1186*k\/5 - 237.\nAnswer: -(k - 1185)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**2)**(2\/23)*a**(-5)*a**(4\/3))\/((a**0*a)**(-28))**(-2\/11) assuming a is positive.\nAnswer: a**(-6449\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.2604 + 0.2396. Let h be (55\/(-22))\/((-2)\/4). Which is the nearest to 0? (a) d (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1840 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 264 divided by -356?\nAnswer: -66\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q**4\/2 - 3*q**3 - 7*q**2\/2 = 0. Calculate q.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 93384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.03 * -113\nAnswer: 3.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 142313 (base 5) to base 3.\nAnswer: 22011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 14*(42\/(-63))\/(-1)*9\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.001995 + 99.\nAnswer: 98.998005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-24 - 2*c + 11*c**2 + 24)*(-74*c + 75*c + 593 - 21).\nAnswer: 11*c**3 + 6290*c**2 - 1144*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2181820?\nAnswer: 2, 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = 10 + 6. Let o be -2*(0 + 170\/q). Let v be -2 + 0 - 612\/(-17). Calculate the greatest common divisor of v and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 4, -47 in decreasing order.\nAnswer: 4, 1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23196.\nAnswer: 2, 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -82\/11 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 242921731 to the power of 1\/2, to the nearest integer?\nAnswer: 15586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be 96 - ((3 - 6) + 2). Let l = q - 33. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4365894.\nAnswer: 2, 3, 13, 223, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be (83 - 88)\/(10\/(-4)). What is the third biggest value in 5, -2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 18 and 1627.35.\nAnswer: 29292.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5044120 and 1520?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 - 10 - (-1 - -16) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 - 1. Suppose -3*g + 6 = 3*h, 19 = 2*g + 3*g - 4*h. Suppose -16 + 1 = g*m. Sort u, 0, m in descending order.\nAnswer: u, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*z**2 + 29*z**2 + 2 - 2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -9*q + 11*q - 26*q in the form x + h*q and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1209\/78 - (-650)\/(-100)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 13, -2\/9, 143\/12, -5.\nAnswer: -5, -2\/9, -0.1, 143\/12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 43 (b) 0.1 (c) 0.0344 (d) 0.774\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) 0.09 (c) 1\/5 (d) -1\/4 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(2\/3)*d)**(-33)\/((d\/(d**2*d))\/d**(-9)) assuming d is positive.\nAnswer: d**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + 5*x + 35. Let q be r(6). What is the biggest value in -2\/11, -4, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5418 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-3)\/1)\/(3\/5). Let k = 690 + -689.9. What is the second biggest value in k, 0.5, l, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes before 3:56 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 426 (base 15) in base 9?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6972 or -6975?\nAnswer: -6972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1767699157 from -5.174.\nAnswer: -1767699162.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2203 (base 5) in base 12?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 693 divided by 3\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*2*((sqrt(171)*-2)**2 - sqrt(171))*-5*3.\nAnswer: -450*sqrt(19) + 102600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13.65 + -14.05. Which is the second biggest value? (a) -0.1 (b) 2\/5 (c) s (d) -6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.663 in 0.536, 9, 0.5?\nAnswer: 0.536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-247*f - 304*f + 24*f + 50*f)*(f + 4*f - 4*f) to the form u + h*f**2 + o*f and give h.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - r + 5*r - 4 = 0, -3*w - 2*r = -4. Suppose w*q - 3*q = -4. Let f be -2 + 129\/(-45) - 2\/15. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -131*t**2 - 21283*t - 3295270 wrt t?\nAnswer: -262*t - 21283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33, -216, -529, -966, -1521?\nAnswer: -2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5360970331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 68.05827 kilometers to nanometers.\nAnswer: 68058270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -83080, -166160, -249242, -332326, -415412?\nAnswer: -498500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 990 = 3*s + 240. Is (2 - 2) + (s - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13\/(-6))\/((-16)\/80*105\/252)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-12)\/(-7))\/(-4)*(6 - 82809). Round j to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times -636.4441?\nAnswer: -1909.3323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-21)*5)\/((-3352)\/419*2\/14).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is s in -1025*s**4 - 5*s**5 + 31911341*s**3 + 746*s**2 - 4766*s**2 - 31915381*s**3 = 0?\nAnswer: -201, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -112 >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-3)\/(-2) - 7\/(-3 + -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17124, 28583, 40042, 51501, 62960?\nAnswer: 74419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 7*b**2 + 5*b - 8. Let d(i) = -10*i + 6. Let l be d(1). List the prime factors of g(l).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2\/181 + 754\/2715. Sort -0.2, 0.4, -2, b in ascending order.\nAnswer: -2, -0.2, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10032*h**3 - 70*h*y**3 - 3875814*y**3 wrt h.\nAnswer: -30096*h**2 - 70*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-five eighths of a millennium?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (6\/220*1)\/(-72*83\/3984)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + t = -11, p = -p - 3*t - 1. Find the third derivative of -3*u**p + u**2 + 3*u**2 + u**4 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 10\/35 + 40\/7. Suppose -4*t = -g + 2. Put t, -1, -4 in descending order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -377764*b**3 + 132733*b**2 + 1 wrt b?\nAnswer: -2266584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 6302, 0.5, -1, -6, -11, 4.\nAnswer: -11, -6, -1, 0.5, 4, 6302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 455 - 90?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 8 = -3*k. Let p(q) = 0 - 4*q - 4*q**3 + 2 - 4*q**2 + q + 3*q**2. Let c be p(k). Round c to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the first derivative of -o**4\/4 + 6*o**3 - 15*o**2\/2 - 32*o - 18. Let i be y(17). Let m be -3*5*(-2)\/6. Sort m, -3, i in decreasing order.\nAnswer: m, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -284 - -272. Let y(b) = b**3 + 10*b**2 - 25*b - 10. Let d be y(a). Solve -x + 3 = s + x, x = d*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*j**2 + 4*j**2 + 0*j - 8*j - 3*j**2 - 1 + 0*j in the form z + k*j + h*j**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 821868 and 7602279.\nAnswer: 30409116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 14.54*4\nAnswer: 58.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*y - 407 + 818 - 404 + (11 - 11 + 8*y)*(-1 + 1 - 2).\nAnswer: -18*y + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*a = -1897 + 895 - 1182. Calculate the highest common divisor of 9932 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 608 - 587. Find the third derivative of -p*d**4 - 121*d**2 - 5*d**3 + 262*d**2 - 82*d**2 wrt d.\nAnswer: -504*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 + 12. Let x be ((-3)\/(-2))\/(-6*k\/60). Let a = 30 - x. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxqa when four letters picked without replacement from {a: 3, q: 1, g: 12, x: 4}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 620*p**2*q**2 - p**2*q + 2*p*q**2 - 42*q**2 + q wrt p?\nAnswer: 1240*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 - -17. What is the remainder when 35 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 3*g**2 - 3*g + 1. Let b be u(1). Suppose -b + 13 = 4*z. Suppose -z*d + 10 = -d. What is the greatest common divisor of 35 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the second derivative of y**4\/4 - 4*y**3\/3 - y**2\/2 - 1421*y. Give d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 84357 and 819.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 5173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*o - 1118 = -1313 - 7125. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 3*u**2 - 243*u + 34. Determine r(81).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*x - 3*x - 39 = 0. Suppose -4*q = -5*c + 14, x*c + 3*q = 4*q + 7. Solve -c*n + n - 5 = 3*i, 10 = -4*i + 2*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 89 + 1183. What is the greatest common divisor of 106 and j?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of 80*c**5 - c**4\/4 + 429*c**3 + 164. Find the third derivative of a(n) wrt n.\nAnswer: 9600*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 550 and 12398650.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2132397 to the power of 1\/2, to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 186 and 11?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -8*p - 2. Let x(q) = -3*q - 1. Let b(v) = 3*w(v) - 10*x(v). Let t(i) = 6*i + 3. Let n(l) = 17*l - 140. Let d be n(8). Determine d*t(u) + 3*b(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 5*c - 33, -2*c + 2 = -5*t + t. Suppose -2*v + 2*l = -86, 4*v + l = -t*l + 186. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -400 divided by 8?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (29*j + 22*j - 10*j)*(3 + 1 + 0 + 2)*(-2 + 2 + 5).\nAnswer: 1230*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -47 - -3. Find the common denominator of 125\/238 and ((-17)\/476)\/((-2)\/l).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (5\/((-20)\/(-24)))\/74. Suppose -9*g - 65 = -155. Suppose 10*j + 0*j = -g. Is o < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 7*i**2 + 3*i + 1. Let x(b) = b**2 + b. Let m(a) = c(a) - 6*x(a). Calculate m(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -2283182929 and -5.\nAnswer: -2283182934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 20340.1 - 20340. Let v = 17 - 25. Let a = 5 + v. What is the nearest to a in 0.4, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 7*q + 43, 5*p + 5*q - 3*q = 252. What is the derivative of 55*g + 20*g + 51*g - 117*g - 199 + p*g wrt g?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3877*g**3 - 9 + 5 - 3886*g**3 + 4.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 165.88 times 27351\nAnswer: 4536983.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13372.\nAnswer: 2, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -286, -28 in decreasing order.\nAnswer: -5, -28, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -0*p + 21. Calculate the remainder when p is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(152) - sqrt(152) - sqrt(152))*1)\/(sqrt(200)*-4))**2.\nAnswer: 171\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*h + 279*h + 326*h = 14532 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 601, 143 in descending order.\nAnswer: 601, 143, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**2 - a + 2. Let t(s) = s**3 + 15*s**2 + 12*s + 18. Let m(q) = -10*g(q) + 2*t(q). Factor m(h).\nAnswer: 2*(h + 1)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5250.71464 to the nearest integer.\nAnswer: 5251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -701, -2704, -6025, -10658, -16597, -23836?\n\"Answer: i**3 - 665*i**2 - 15*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 81 - 7*z**4 - 81 + (-z**2 - 3*z**2 + 3*z**2)*(0*z + 0*z + 2*z**2).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*m = 17*m - 2. Solve -3*h - 2*x = 4, m*h - 2*x = -0*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 1554.\nAnswer: -1\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 140 divided by 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(140)\/(sqrt(14)\/sqrt(2)))\/((sqrt(108) + sqrt(12))\/sqrt(3)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-92)\/(-2047)*-89)\/(2\/(-5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12 - -7. Which is the biggest value? (a) -0.4 (b) 0.1 (c) 0 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*o**2 + 5*o**2 + 2*o**2 + (o + 1 - 1)*(-2*o + 6*o - 3*o) - 72*o**2 - 72*o**2 + 166*o**2)*(2 - 2 + 3*o**3).\nAnswer: 75*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -197*s + 124*s = 34237. Is 3 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**2 - 41*j - 33. Determine z(-16).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from {d: 1, x: 4, o: 3, g: 4, v: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -52997 bigger than -66\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2, -5, -26, -67, -134?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3*i + 4. What is l(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 328 + -211. Suppose -5*p = 12 - t. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 4 - 6)*(-11 - 5 + 1)*(-m**3 + m**3 - m**3).\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 322133745?\nAnswer: 3, 5, 23, 71, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 AM and 11:50 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80509?\nAnswer: 11, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -6*t**3 + t. Let r = 4 - 6. Let w be p(r). Let b = w - 30. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2 - 4) + -4 + 2. What is the remainder when 32 is divided by (-6 - l)\/((-2)\/(-11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 739684?\nAnswer: 2, 11, 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 33660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -7*o**2. Let l(f) = f - 3. Let k(g) = -2*g + 5. Let t(q) = -3*k(q) - 5*l(q). Give c(t(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 371aa5 - -4?\nAnswer: 371aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor x**4\/2 - 41*x**3\/2 - 129*x**2\/2 - 131*x\/2 - 22.\nAnswer: (x - 44)*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 82766 - -1562?\nAnswer: 84438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xw when two letters picked without replacement from {x: 2, w: 1, c: 4, s: 2, d: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 22227\/(-239) - 28462\/(-306)\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -20 + 24. Suppose 0 = -5*s + w*j + 5, -3*s - j + 22 = 2. Solve 5*m + 4 + 6 = q, -2*m - 4 = s*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 148 = 14. Let y = j - 54. Suppose y*a = a - 84. What is the remainder when a is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -47 + 49. Differentiate 5*x**2 - 12 + 1 - p*x**2 wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*v = 5*v + 24. Is -15 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -283 = 21*i - 325. Which is the third smallest value? (a) 0.5 (b) i (c) 11\/5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 4*v, -4*y + 8 = -v. Let n = 161 - 479\/3. Sort -13, n, y in ascending order.\nAnswer: -13, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 4) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(34) - sqrt(2754)*1))\/(sqrt(50) + sqrt(7200) + sqrt(7200)*2).\nAnswer: 8*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(4\/7)\/(b**(4\/3)\/b))\/(b*b**(-2\/7)*b)**(-1\/25))\/((b**(-7)\/b*b**(1\/10)*b*b)\/(b\/(b*b**(-1)\/b)*b\/(b*b**(2\/3)))) assuming b is positive.\nAnswer: b**(377\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6186188 + 687*t**2 + 153*t - 6186188 wrt t?\nAnswer: 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 29 = 5*d - 138, -3*d = 5*h - 53. Suppose 56 - 7 = 3*b - 4*u, -b + d = u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 + 0 + 1 + (-3)\/(-1). Let w(d) = -3*d - 2. Let l be w(q). What is the units digit of 30\/l*(-34)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 95510 and 3110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j*(j*((j*j*j**(-2\/55)*j*j)\/j)\/j*j)\/j)*j*j)\/j)\/j*j*j**(-26) assuming j is positive.\nAnswer: j**(-1538\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -158630, -158625, -158620, -158615, -158610?\n\"Answer: 5*p - 158635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the first derivative of x**2\/2 + x - 6. Let d be h(2). What is the derivative of 2*z + z - d*z - 4 - z**2 wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*k - 12 = -20*k. Suppose -4*q - 2099992 = p, -k*p + q - 6471696 - 1928306 = 0. What is p rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*m**4 + 2*m**3 - 7949882*m**2 - 2883*m - 27311 wrt m.\nAnswer: 60*m**2 + 12*m - 15899764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*t - 6*t = 0. Let k be 4\/16 - 11\/(-4). Let j(v) = -v - v + k*v - 3. What is j(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 3*w + 7. Suppose 265*z - 340 - 14 = 176. Let u(o) = -6*o - 15. What is z*u(l) + 5*m(l)?\nAnswer: 3*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -41*u + 7. Let n be w(-3). Suppose c + n = 5*s, 4*s + 106 = 7*s + 5*c. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1716230 divided by 8.\nAnswer: 858115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (o**2 - 7 + 7)*(-3 - 1 - 1) in the form r + t*o + v*o**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 34*n**2 - 17*n**2 - 16*n**2. Let y(h) = 1. Let a(q) = q - 1. Let m(w) = -a(w) - y(w). What is m(u(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 6678 (base 10) in base 8?\nAnswer: 15026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-86)\/(-1475760)*88*(-6)\/3*3\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in fifty-five quarters of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -385, 1, 3, -298 in decreasing order.\nAnswer: 3, 1, -3, -5, -298, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r**4\/7 + 787554*r**3\/7 + 51689137851*r**2\/7 + 310113563472*r\/7 + 465159713472\/7 = 0. What is r?\nAnswer: -131256, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 67 - 2980960352478.\nAnswer: -2980960352411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 57*a**2 + 3*a - 3. List the prime factors of u(2).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-94)\/7 + (-39)\/(-91).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 - 1110011?\nAnswer: -1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -11204431 (base 5) to base 13.\nAnswer: -36a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 0.3, 5\/2, -0.45, 0.4, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -25 + -10924?\nAnswer: -10949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12015 + -12016. What is the second smallest value in 218, q, -4\/9, -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -550*l**2*r**2 + 39904*l*r**2 - 535562577*r**2 wrt l?\nAnswer: -1100*l*r**2 + 39904*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/354*(-5535)\/(-615)*(-4)\/(-6).\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -101*f**5 + 5*f**3 - f**2 + 146*f + 15 wrt f?\nAnswer: -2020*f**3 + 30*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 2387*a - 298379. What is p(125)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 - 20*t**2 - 864*t + 118. Give z(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 306599143 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 256.25 + -256.15. What is the fifth biggest value in -0.3, 2\/15, -4, r, -1404?\nAnswer: -1404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 11*c**2 + 35*c - 66. Let b be a(-6). Which is smaller: 1310\/11 or b?\nAnswer: 1310\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n + 1. Let s be z(0). Let k be s\/6*(-8)\/(-6). Let l = k - 28\/45. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, -2, -2\/13, 295, 0, 0.3 in descending order.\nAnswer: 295, 0.3, 0.05, 0, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 46*q = 310713. What are the prime factors of q?\nAnswer: 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -70860 or -70861?\nAnswer: -70861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (112\/(-24))\/((-2196)\/2824) + -6. Does t = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 - 6)*(-266)\/56. Suppose 9 - x = -5*n. Suppose -4*t + n*t = 4*q - 42, -35 = -5*q + t. Solve 0 = 3*a - q*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56664 is divided by 18541?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5.18 in 4, -5, 1, -1\/8, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t + 6. Let r be n(3). Let h = -0.207 - -5.207. Let l be (6 + (-57)\/9)*2\/5. What is the nearest to l in 4, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 105 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 18 + 2)*(-3 + 1 + 1)*(-2*q + 2*q - q).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -21 - ((-8 - 16) + 9 + 4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*y**3 + 5*y**2 - 425*y + 1375.\nAnswer: 5*(y - 5)**2*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**2 + 5*l**2 - l**2 + 4*l**2. Let t(u) = -2*u. What is t(f(d))?\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-6)*r*r**6)\/(r**(-6)\/r**4)*((r**(-4\/7)*r)**(-32))**(-1\/13) assuming r is positive.\nAnswer: r**(1188\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(-8) + 277\/(-130). Let x = f + 16\/13. Sort 4, x, 6\/7 in increasing order.\nAnswer: x, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 494119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 s when three letters picked without replacement from {g: 1, l: 2, s: 2, j: 2, b: 10, f: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are 106457 and 106025 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 + 11*v + 1. Suppose 2*k - 562 = 5*t - 115, -k + 231 = -t. Let q = -247 + k. Give g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -106*t - 234702 = -157*t. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 17*g**2 + 3*g. Let x be a(6). Suppose 0*i + x = -3*i. List the prime factors of (1\/(-2))\/(5\/i).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/908 and 71\/681?\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 + 6*t**2 + 7*t. Let i = 13 + -6. Let v be b(i). Suppose 2*h + h = 0. Solve 3*l + v - 3 = h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.09383 - -0.04623. Let p = n - -0.0476. Which is the biggest value? (a) p (b) 68 (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 123760, 247548, 371376, 495256, 619200?\n\"Answer: 2*z**3 + 8*z**2 + 123750*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -315 (b) -1\/5 (c) 13 (d) 5 (e) 1 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2 - 2 + 1 + 2 + 3 - 5 + 3 - 3 + 5 + 0 - 2 - 4 + 5 + (3 + 3 - 4)*(-1 - 3 + 5) + 2 + 3 - 7 + 4 - 3 + 1 + 3 - 1 + 0 + 8 - 24 - 34)*(-m + m + m**2).\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 - 4*y**2 + 1817*y + 12590. Determine r(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -3*i**2 + 2*i + 2. Let w(x) = -x**2 + x + 1. Let n = -130 + 132. Calculate n*y(u) - 4*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 + -15. Let o be -1*(-3)\/(-5)*v. Let m(s) = -3*s + 14. Let q be m(4). Solve -i - 2*z = -3*z + o, -q*i + 5*z = 21 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11 - -7. Let o = -0.44 + 0.04. Let l = 2.1 + -1.1. Put g, o, l in descending order.\nAnswer: l, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 160374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h**(-11))\/h*h)\/h*(h*(h\/h**(-3\/7))\/h)\/h)\/(h**(-1\/4)\/h)**(-16\/5) assuming h is positive.\nAnswer: h**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76002 divided by -76002.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 2663.5ml to litres.\nAnswer: 2.6635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -840 = 9*h - 27*h - 3*h for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/20215, -4, 2\/11, 6 in ascending order.\nAnswer: -4, -3\/20215, 2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -7*m - 5. Let r be b(-2). Let g = -12 + r. Let k = 3.9 + -19.9. Put g, k, 5 in decreasing order.\nAnswer: 5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -13 + 289*m + 3*m**3 - 399 - 108 - 4*m**3 wrt m?\nAnswer: -3*m**2 + 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/((q*q*q**(-3\/7)\/q)\/q)*q**(4\/5)*q)\/(q**(-1))**10 assuming q is positive.\nAnswer: q**(463\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5193 + -5191. Which is the nearest to -2\/5? (a) 2\/13 (b) t (c) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, i: 4}. Give prob of sequence iibb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, 10, -9, -25\/34 in decreasing order.\nAnswer: 10, 1\/2, -25\/34, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-2\/9))**46)**49\/((l**(-2)\/l*l*l*l**(-1\/2))\/((l\/l**(2\/21))\/(l*l**(2\/19)*l))) assuming l is positive.\nAnswer: l**(-1198411\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the third derivative of i**6\/720 + i**5\/20 + i**4\/12 - 2*i**2. Let c(d) be the second derivative of k(d). Differentiate c(n) wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32438 is divided by 32357?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -456*492\nAnswer: -224352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 = 2*v + 41. Let d(k) = 1 - 15 + 28 - v*k**3 + 6*k**2. Let a(t) = -4 - 3 - 2*t**2 + 2 + 6*t**3. What is -11*a(z) - 4*d(z)?\nAnswer: 2*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -7, -2, -6, 276 in ascending order.\nAnswer: -7, -6, -2, 0, 2, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be 78\/(-273) + 548\/7. What is the highest common factor of x and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 346 - 264 = 0. What are the prime factors of p?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + 4*j + 6111, 3*g + 3*j + 3857 = -2248. Are g and -4057\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 1443*r**2 - 2756*r**2 + 1327*r**2. Let k(c) = 1. Let u(f) = 8*f + 4. Let m(s) = 4*k(s) - u(s). What is t(m(g))?\nAnswer: 896*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*t + 26 = 2*m, 9*m = 8*m - 2*t + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 456859*n**2*o + 16516*n**2 - 2*n - 2 wrt o?\nAnswer: 456859*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38890*n**2 + 1 + 19442*n**2 + 173*n + 19446*n**2)*(5 - 3 - 4).\nAnswer: 4*n**2 - 346*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 14214 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3477\/(-247)*(-702)\/324\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*u**3*v + 3*u**3 - 5*u**2*v + 46*u**2 - 20*v - 10 wrt v.\nAnswer: -6*u**3 - 5*u**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 238465211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-1)\/(16\/(-723040)*15*(-4)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 2\/3377609?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 289258 is divided by 358?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/3378848 and 85\/176?\nAnswer: 3378848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 224 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1652778298?\nAnswer: 2, 23, 283, 126961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3094 is divided by 97?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10444 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express k - 3*k + 4*k - 2*k - 2 + 2 + (3*k - 3*k - k)*(1 + 0 + 0) + 4*k - 5*k + 3*k + 0*k + 4*k - 2*k - 40*k + 57*k + 99*k as w*k + y and give w.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*s**3 + 7*s**3 - 5*s**3 + s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 6*v**2 + 3*v + 7. Let i(g) = -18*g**2 - 8*g - 21. Let w(n) = -3*i(n) - 8*o(n). What is the first derivative of w(a) wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 30 = -277. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + -4 + 12 - -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**3 - 4*k**2 + 4*k - 1. Let g be -6*(2\/(-3) - 0). Let z be x(g). List the prime factors of (-218)\/(-10) + 3\/z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -5657, -5 in decreasing order.\nAnswer: -2, -5, -5657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*y = -11*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 - 9*b - 8. Let j be d(-7). Let i(k) = 8*k - 16. Let o be i(j). Calculate the greatest common factor of o and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -72*g - 132. What are the prime factors of b(-10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 9. Suppose -l*i + 696 = -340. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76*i = -82*i - 7734. Let v = -567 - i. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 5, 4 in descending order.\nAnswer: 18, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -1299*o + 542*o - 6142 = 4456 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/197028 and 25\/179346.\nAnswer: 13988988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -236*u**3 - 111618*u**2 + 4730*u.\nAnswer: -2*u*(u + 473)*(118*u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 11:00 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of 5*m**4\/6 + 7*m**3\/3 + 2*m**2 - 8*m. Factor t(v).\nAnswer: 2*(v + 1)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (-80 - -75 - (-5 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 + 9*m**2 + 2*m + 1. Let w be b(-9). Let u(h) = 15*h + 32. Let f be u(w). Let x = -67 - f. Calculate the greatest common divisor of 39 and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -1) + -3 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**3 - 50*k**2 + 1445*k + 14450.\nAnswer: -5*(k - 17)*(k + 10)*(k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 17468, 34955, 52442, 69929, 87416, 104903?\n\"Answer: 17487*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 16436237 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Simplify (v**4)**(-43)\/(v**(-5)\/v*v**(1\/12)*v) assuming v is positive.\nAnswer: v**(-2005\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c + 1. Let g be u(2). Let a be (-2)\/(-3) - 49\/(-3). Let k = a - g. What is the smallest common multiple of 22 and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 691, 2281, 4819, 8305, 12739, 18121, 24451?\n\"Answer: 474*b**2 + 168*b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12*(-949)\/390 - 8) + 24.\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 5:53 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*j + 3. Suppose j*h - 3*f = -3, -6*f + 2*f = 2*h - 18. Calculate the greatest common divisor of h and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*p**5 + 11*p**5 + 11*p**5 + (-6*p**2 + 3*p**2 + 2*p**2)*(0*p**3 + p**3 - 6*p**3).\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -20. Let k = 8.7 + j. Let g = 0.1 + k. Sort -1, -1\/6, g in decreasing order.\nAnswer: -1\/6, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 4\/689?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -463 - -471. What is the lowest common multiple of 175 and f?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:52 PM and 7:51 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 + -8. Let k be (1 - 3)\/(a\/8). Calculate the greatest common divisor of k and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 75 + -94 + (-6 + 5 - 0) + 9 - 59.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -2*f**2 - 37*f + 1. Let v(n) = -n**2 - 15*n. Determine 2*u(x) - 5*v(x).\nAnswer: x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 23076*j - 2330649. Give l(101).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 1.259135 to four decimal places.\nAnswer: 1.2591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 194797.\nAnswer: 131, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1349*k**3 - 343*k**2 + 19608669 wrt k?\nAnswer: 4047*k**2 - 686*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 m, and 2 r when four letters picked without replacement from mggmmrmmmmrmmggm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 710984126?\nAnswer: 2, 29, 12258347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -13*o**2 - 8*o + 3. Let c(v) = -3*v**2 - 2*v + 1. Let l be (-11 + -1)*23\/828*-27. Determine l*c(j) - 2*n(j).\nAnswer: -j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -921*b**6 + 5*b**3 - 811*b**2?\nAnswer: -110520*b**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*y - 16. Let i = 220 - 237. Let s = y - i. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1860 and 8060?\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 5*l**2 - 3*l + 1. Is a(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27\/(-2)*(882142\/3429)\/(-151)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12 + 14. Suppose 4*x - 3*h = -0*h + 23, 0 = -4*x - 5*h - 17. Suppose 0 = x*j - 2, -y + 28 = y - l*j. Solve -5*t + 15 = 0, 4*a - 2*t + t + y = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13868369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u + u + u + 0. Let l(b) = 1. Let j(i) = -2*i + 3. Let d(k) = -j(k) + 3*l(k). Determine q(d(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 4 = -24. Suppose -p*m = -3*m + 8. What is the units digit of m - -7*15\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 299 and 437.\nAnswer: 5681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -532.1*-0.2.\nAnswer: 106.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -492 divided by -123.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -622301109 - 0\nAnswer: -622301109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 7c9 - 7e2e2?\nAnswer: -7da18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 127, 0, 17, 2.\nAnswer: -3, 0, 2, 17, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = 4*c + 41, c + 1992*k - 1995*k = 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1510 - -7026. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 9 = -3. Suppose -3*a = 5*k - 169, -2*k = -0*a - 5*a + 323. Suppose 2*x = -2, -q*n - 2*x + a = -x. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3102203303 (base 4) to base 16.\nAnswer: d28f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 501*f**3 + f**2 - 8*f - 4844. Let t(v) = 2*v**3 - v - 2. Let w(h) = o(h) - 6*t(h). What is the first derivative of w(c) wrt c?\nAnswer: 1467*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(190)\/(2*sqrt(360)).\nAnswer: -3 + sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of -14\/13*q - 127 - 2\/65*q**5 + 6\/13*q**2 + 16\/39*q**3 - 3\/13*q**4. Determine c, given that y(c) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -32 + 55 - (17 - -1). Solve w*n = 4*p - 7, -3*n + 7 = 5*p - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12156 - 1835. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -310 - 4?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -81.177 or -1776?\nAnswer: -81.177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 12323925563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 43*k. Let s(w) = -51*w + 4. Let p(u) = 3420*u - 270. Let b(y) = -2*p(y) - 135*s(y). Calculate b(h(c)).\nAnswer: 1935*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1376956374 to the power of 1\/2, to the nearest integer?\nAnswer: 37107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 113568 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 - 7*v**2 + v + 2. Let u be k(5). Let n = -63 - u. Let d be 2\/n*(4 + 0). What is the nearest to d in -1\/3, -4, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 507 is divided by 61?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -308465\/18 - -17131. Let o = 49352 - 2566387\/52. Find the common denominator of o and y.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.17474 to 3 dps.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 302*a**2 - 141*a + 42578. Calculate r(302).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2072376766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1846 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -75 + 36*d**2 + 75 as g*d + y*d**2 + a and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (32 - -49)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-1 + 2) - (39 - 43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y\/(y\/y**0))**(2\/17)*(y*y**(-15))\/(y**14*y*y))**(3\/14) assuming y is positive.\nAnswer: y**(-762\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -73, -143, -209, -271, -329?\n\"Answer: 2*l**2 - 76*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*i**3*x - i**3 - 13*i**2*x + 7*i*x - 4*i wrt i.\nAnswer: 12*i*x - 6*i - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*t + 1134. Let b be (18\/8)\/(t\/(-48)). Sort b, 0.3, -4.5.\nAnswer: -4.5, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 450361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 4 = 7*z - 3*z, 3*z = 5*j - 13. Let u(i) = i**3 + i**2 - i - 1. Let r(w) = 7*w**3 + 4*w**2 - 5*w - 4. Let f(t) = r(t) - 6*u(t). Give f(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 1143*k**2 + 5719*k + 15. Give d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4889627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 218*i**2 + 194*i**2 + 187*i**2 - 153*i**2 to the form v*i**2 + q*i + n and give v.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y**3 - 84*y**2 + 372*y - 384 = 0. What is y?\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 2\/449 (b) -1\/2 (c) 0.3 (d) -18\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2651960613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1840 is divided by 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/14 + (-305)\/35. Let d = -7 - b. Solve -y = -3*y - d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/48*(-3360)\/(-36000) and -43\/40?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13505)\/(-365) + 86\/(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/(v\/v**24)*v*v*v)\/((v*v\/v**(-2\/15))\/v))**(9\/5))**(-6) assuming v is positive.\nAnswer: v**(-6984\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**2 + 34*n - 129. What is q(30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -77 = 66*p - 473 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 4*d - 30. Let u(v) = -v + 9. Let r be u(5). Suppose c - 3*c + r = 0. Calculate the lowest common multiple of d and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 44106, 40960, 37814, 34668, 31522?\n\"Answer: -3146*v + 47252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -20, -17, -3, 0, 88.\nAnswer: -20, -17, -5, -3, 0, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 815 + -1533. Let w = i - -718.3. What is the nearest to -0.2 in w, -29, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00109838001 to six decimal places.\nAnswer: -0.001098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the third derivative of -1\/12*r**4 + 0 + 19*r**2 + 0*r + 0*r**5 - 1\/6*r**3 + 1\/24*r**6. What is x(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -169 + 173. Solve 0 = 3*f - 13 + h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) 29\/9 (c) -2 (d) -0.09 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 22342217, 22342198, 22342181, 22342166, 22342153, 22342142, 22342133?\n\"Answer: q**2 - 22*q + 22342238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20*(-1)\/2)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -8332 (base 9) in base 15?\nAnswer: -1c1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.678 + 0.178. Which is the closest to -19? (a) -2\/3 (b) y (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 - 23 - 217*b + 3 - 6010*b + 13 to g*b + m and give g.\nAnswer: -6227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times 0.883?\nAnswer: -9.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + -301130301?\nAnswer: -301130303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the first derivative of 0*q + 13 + 2\/3*q**3 + q**2. Suppose d + 17 = 3*z, 4*z + 16 = -3*d + 6*z. What is m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -62\/36491 and -20\/1454427.\nAnswer: 10180989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -63 divided by 1149?\nAnswer: -21\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 480170 = -13*l + 11*l, -3*f = -4*l - 360135. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 30 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002434 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the second derivative of q**5\/20 + q**4\/3 + q**3\/6 - 24*q. Suppose 4*l + 0*j = j - 16, -3*l - 5*j + 11 = 0. What is c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -33 + 48 - 2*f**2 - 2*f + 54. What are the prime factors of t(0)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -237*t + 8. Let v(u) = 89*u - 3. Let q(f) = -3*o(f) - 8*v(f). Let p(x) = -9*x + 187. What is q(p(h))?\nAnswer: 9*h - 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 63312 + -63311.8. Suppose -16 = -3*a + 3*h - 1, 2*h + 10 = 5*a. What is the nearest to u in 2, a, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10 - 4. Let f = a + -5.9. Is f <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2224, 8757, 19598, 34747, 54204, 77969?\n\"Answer: 2154*g**2 + 71*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + 62*d**2 + 252*d - 613. Give b(66).\nAnswer: -1405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.039 - -8086844.68033\nAnswer: 8086844.64133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 6 = p + 1, p = -a + 8. Calculate 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 t = 162 - 84. Let y be (-1)\/(33\/(-27))*52\/t. What is j in -4\/11*j**2 + 0 + 0*j - 2\/11*j**4 + y*j**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - 3*b = -w + 84, -456 = -5*w - 3*b. Is 30 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - l - 20 = 0, 0 = 4*i - 0*i + 5*l - 71. Suppose 0 = 3*x, -29*o + 5*x + 76 = -25*o. Calculate the greatest common divisor of i and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1596 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5056837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -2*p + 13. Let c be g(6). Let o be c + -3*(-3 - -2). Suppose -18 + 6 = o*k. Sort -1, 7, k in ascending order.\nAnswer: k, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 12:35 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 586832 and 2.\nAnswer: 586832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, -2, 3623, -6, 3, -14 in ascending order.\nAnswer: -14, -6, -2, 1, 2, 3, 3623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hyihhiyqyhhyyeehiq. Give prob of picking 1 i and 2 y.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3688308571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes after 9:02 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2890378836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - -2 - -45 - -21 - 5.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a factor of 91476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2247392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -24 divided by -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, -5, 2, -61, 7 in descending order.\nAnswer: 7, 3, 2, 1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2798 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 29.434 - 0.474. Let r = f + -28. Let y = r - 0.16. Which is the second biggest value? (a) y (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from {r: 1, a: 1, b: 2, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4752 + -4747. Is -55 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - -648. Let c = 1055 - b. What are the prime factors of c?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 202703560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20*f**3 + 3*f**2 + 7*f**2 - 37*f**3 + 12*f**3 to g*f**2 + l + u*f + b*f**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*b**2 + 10*b**2 - 3*b**2 to the form w + c*b + m*b**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 4*w = -33. Suppose -5*u + 3*t = w + 11, 8 = 2*t. Let n = -314828 - -2518621\/8. Which is the nearest to 0.3? (a) n (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -55 times -7.5\nAnswer: 412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*f + 0*f - 4*f)*(5*f - 5*f - 2*f**2 + 1) to c*f + y*f**3 + d + i*f**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + a + 11 = -4, -4*r - 27 = -a. Let l be -1*3\/r*26. Let i(b) = 4*b**2 - 12*b - 9. Is i(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 37*y**3 - 9*y**2 - 68*y + 40. Let j be k(16). What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 24 - 14 - 2*2. Suppose s - 3*s = -j. Solve -2*q - 3*v = 2*q - 13, -3*q - s*v = -12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-34)\/(-33) + (-320)\/240. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/2244 and 43\/22440.\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 393395 and 43706?\nAnswer: 419359070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3084143 and -0.063058?\nAnswer: 3084143.063058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -34 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g = 19*g + 26. Let b(f) = -18*f + 34. Let y be b(g). Calculate the greatest common divisor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 29701 (base 10) to base 12.\nAnswer: 15231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the second derivative of -2*t**3\/3 + 3*t**2\/2 + 3*t. Let i(j) = 4*j - 1. Let h(b) = 5*b - 1. Let m(g) = -3*h(g) + 4*i(g). What is 6*m(z) + n(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 4*k + 4*h = -410, -615 = -3*k + h. Let n be k\/20 - 2\/8. Solve 0 = l - o + 5, -4*o = -10 - n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (316 + 15*t - 168 - 150)*(-5 + 2 + 4)*(-3 - 2 + 2).\nAnswer: -45*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from {h: 1, v: 1, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (26\/572*209)\/((-4)\/8)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from obbbbbbovvbbbvbobvbb.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 44964869*p**2 - 21181836*p wrt p.\nAnswer: 89929738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 849 divided by 3\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 34.67 - 1.\nAnswer: 33.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2977 and 4069.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 50275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 23190 - -8653. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1, -7, -31, -79, -157, -271?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 - 3*s**2 - 5*s + 6. Let t be z(4). Let c = t - 1. Suppose 3*i - 14 = c. Solve 3*r = i - 20, -4*l = -r + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7417592 by 8372.\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 197 = 10*r - 3*r, 0 = -5*y + 4*r + 146 - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 9. What is the nearest to f in -2\/5, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**2 + 14*w - 1. Let b be j(14). Let r(f) = -f + 1. Let p(k) be the second derivative of k**3\/3 + k**2 - 267*k. Calculate b*p(x) + 3*r(x).\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1.845258739 rounded to 3 dps?\nAnswer: 1.845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xdx when three letters picked without replacement from xxdxd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*f**2 + 14*f + 4 - 50*f**2 - 52*f.\nAnswer: -2*(f + 1)*(21*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 84 divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3 - (-1 + 0 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - y + 4 = 0, 4*g + 0 = 5*y + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -q**4 + 2*q**4 + 0*q**4 + 5 - 6*q**4 - 5 - 5*q**4 - 2*q**4 + 2*q**4 + (-1 + 1 + 2*q**2)*(-4*q**2 + q**2 + 2*q**2) - 19*q**4 - 135*q**3 + 135*q**3.\nAnswer: -31*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 31 by 9.\nAnswer: 31\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be 16*42*3\/6. Suppose 0 = -6*v + 2*v + q. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 10) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the second derivative of -g**9\/37800 + g**7\/6300 + g**4\/12 + 3*g. Let p(f) be the third derivative of r(f). Determine m so that p(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(288) + -1)*4*-6.\nAnswer: -72 + 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1520)\/(-140)*(-105)\/10. Let i(j) = -j**3 + j**2 - 4*j + 5. Let x be i(5). Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**3\/3 + 1342*u**2\/3 - 1340*u\/3.\nAnswer: -2*u*(u - 670)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/5, -203, 0.0842, -0.3, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 1 (b) -64 (c) -81\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**11*k*k)\/(k*k\/(k\/(k*k\/((k*((k**(-2\/7)\/k)\/k)\/k)\/k)))*k)*(k*k**(-2\/13)*k*k)**(2\/31))**(-1\/6) assuming k is positive.\nAnswer: k**(14201\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -16\/3*i**2 + 2*i**3 + 26\/9*i - 4\/9.\nAnswer: 2*(i - 2)*(3*i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-18) - 7007\/(-693)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-13)\/m)\/(m\/(m*m\/(m*m**(-11)))*m)*(m*m**(2\/19))\/(((m**(-21)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(363\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25992 is divided by 8663.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 0) + ((-2603)\/(-285) - 11)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -48, -44, -38, -30, -20, -8?\n\"Answer: i**2 + i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-26 - -25)\/((-39)\/18 + 2). Solve 0 = -4*t + f + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45.88182 meters in centimeters?\nAnswer: 4588.182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 135 a factor of 1872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 2703.54059023 + 2.\nAnswer: 2705.54059023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 14*a - 7. Let r(z) = -25*z + 14. Let h(p) = -11*c(p) - 6*r(p). Determine h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -384.67 + -19.20417\nAnswer: -403.87417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 6 = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3563506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 693047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ouuuuuuuuuouuuuouuuu. What is prob of picking 1 u and 3 o?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -40*r**2 + 3. Let b be k(3). Let h = -353 - b. Solve 7*f - h + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 4*q**2 - 9*q - 9. Let x be b(-3). Let w = x - 82. What are the prime factors of (-6)\/3*155*w\/35?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**3 - 10395*v**2 + 441759*v - 431361.\nAnswer: -3*(v - 41)*(v - 1)*(v + 3507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -517*i. Let t(s) = 302*s**2 - s. Calculate v(t(n)).\nAnswer: -156134*n**2 + 517*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6766?\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 4:57 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108 = -38*z - 70*z. What is the closest to -0.3 in -1\/4, z, 0.2, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 2*g**2 - 5 + 54*g - 52*g - 3*g**2. What is s(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 163521015 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2 - 3. Let j(l) be the third derivative of -l**5\/15 + l**4\/24 + 13*l**3\/6 - 31*l**2 + 149. Give -9*g(k) - 2*j(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - -6. Suppose 0 = -j + z*x + 16, 56 = 4*j + j - 3*x. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, q: 9}. Give prob of picking 2 q and 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 v when three letters picked without replacement from {t: 1, m: 1, p: 1, w: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-964963)\/(-43))\/(1 + -1 - -2 - 1)?\nAnswer: 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((2*sqrt(170)*5)\/sqrt(10) - (sqrt(272)*-2 - (sqrt(85)\/(sqrt(10)\/sqrt(2)))**2)).\nAnswer: 85 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*g + 4*g + 0*g)*(2*g**2 - g**2 + g**2) + (0*g - 5*g + g)*(2*g**2 + g**2 + g**2) to the form z*g + x*g**2 + c + i*g**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, -5, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(9\/4)*3. Suppose 2*n - 18 = -0*n + u*b, -5*b = -2*n + 20. Let z = n - -3. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -448 + n**2 - 74 - 52.\nAnswer: n**2 - 574","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*l - 53*l + 75*l - 164*l + 14*l - 1 + 9*l.\nAnswer: -121*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/8674 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 49831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2*(123\/(-6) + 0). Let o = b - -42. Suppose 4*j - q = 17, 5*q - o = -5*j - 11. Solve -3*r - 9 - 11 = 2*h, j*r + 24 = -3*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 68 - 19. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 32 = 4*d, -2*d + r = -2 - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -2\/5, 0, -20, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(52))\/sqrt(4) + (sqrt(13) - sqrt(13)*2)*-2)**2 + -3 - (2*3*sqrt(78))\/(-1*sqrt(18)\/sqrt(3)).\nAnswer: 10 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -7*t - 1. Is m(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 3 = -5*g - 22, -4*g = -2*x + 8. Let o be x\/(-2 - 114\/(-60)). Solve -o = 2*u - 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let p = -38 - -40. Find the second derivative of 19*f**2 - 57*f - 30*f**2 - 9*f**p wrt f.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1596 and 327978?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccctttcccttccttccc.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21\/2*-50*(-266)\/(-2583525).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l**2 + l - l + (3*l - 7*l - l)*(-l - 1 + 1))*(2*l**3 + 2 - 2).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxoooxxxoxxox. Give prob of picking 1 o and 2 x.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.7 and -49.379.\nAnswer: -133.3233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 0.37, -143, 0.1 in ascending order.\nAnswer: -143, -0.1, 0.1, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 405*w**2 - 1440*w + 1280 = 0 for w.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**8*m**(-4\/9))**(1\/4)*(m**(-6)\/(m*m**(-5)))**(-1\/3) assuming m is positive.\nAnswer: m**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/30 and -173\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/10*(182\/(-5096))\/((-3)\/16)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*o + 230*o**2 - 463*o**2 + 231*o**2 to the form n + h*o**2 + j*o and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -3, -5, 4, -55 in decreasing order.\nAnswer: 4, 1, -3, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -326 (b) -6 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 370699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - 3.3. Suppose 0 = 3*c + 2*c. Let i be -1 + c\/(-4 + -1). Sort v, i, 3 in ascending order.\nAnswer: i, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000014626133 to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.3 and -59191?\nAnswer: 59191.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 - 25. Let u = 152 + -120. Let t = u + q. What is the remainder when 27 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 584 and 1819816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 35*o**3 + 2*o**2 - 2. Let d(y) = 140*y**3 + 9*y**2 - 8. Let l(s) = 2*d(s) - 9*k(s). Differentiate l(j) wrt j.\nAnswer: -105*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**7*s*s)**13 assuming s is positive.\nAnswer: s**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*p + 3*x + 12*x = -4*p + 16*x, -5*p + 5*x = -40 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -11072, -11097, -11138, -11195?\n\"Answer: -8*p**2 - p - 11063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 100*a**4 - 4276*a**3 - 2632*a**2 + 68416*a + 16512 = 0. What is a?\nAnswer: -4, -6\/25, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -16*u - 71. Calculate l(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 108877 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 430644170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = t - 98*m + 95*m, -4*t - 2*m + 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {z: 1, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 138414 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 480 and 9914592?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.35 and -275640.\nAnswer: -96474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10624, 10616, 10610, 10612, 10628, 10664, 10726?\nAnswer: 10820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 - 4*o**2 + 13*o + 70. Is 12 a factor of u(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 51827310 by -1727577.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*r + 4*r - 5*a + 154, 5*r - 195 = 4*a. Let o = 293 - r. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2*n - 11. Let f be c(-9). Let p = f + -4. Find the third derivative of 0*t**2 - 3*t**2 + p*t**4 + 0*t**2 - t**2 wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -441353 (base 7) to base 9\nAnswer: -127105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 872936 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6 or 285\/46?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(162)*3)\/(sqrt(72)\/(sqrt(8)*1)))\/(5*2*sqrt(294) - (sqrt(294) + sqrt(294)*-1*-5)).\nAnswer: -3*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 151100 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.1 - 0.9. Let p be -11 + 17 - 12 - (-200)\/36. Sort l, p, 4\/5.\nAnswer: l, p, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 1\/41, 2, -2\/17?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 407, 388, 355, 302, 223, 112, -37?\n\"Answer: -c**3 - c**2 - 9*c + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p**2 - 2*p**2 + 0*p**2)*(2*p + 3 - 3)*(0*p**2 + 4 - 2*p**2 + p**2).\nAnswer: -2*p**5 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - -43. Let q(b) = b**2 - 11*b + 4. Let l be q(12). Suppose 4*m + l = 6*m. What is the highest common factor of m and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 356\/60 - (-2)\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 219378 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -232040 - -123?\nAnswer: -231412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of u**7\/105 - 4*u**6\/75 + 2*u**5\/25 + u**4\/15 - u**3\/3 + 2*u**2\/5 - 67*u. Factor m(p).\nAnswer: 2*(p - 2)*(p - 1)**3*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/(-3) - (0 + 0). Suppose l = -r - 2 + 4. Suppose -5*n = r*i - 3, -3*i - 5*n = -5*i + 33. Calculate the greatest common factor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 + -10929?\nAnswer: -10934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3722616684.\nAnswer: 2, 3, 17, 2027569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((102\/(-6))\/(-238))\/(3\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5189023 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - i - 174, -i = -3*v + 2*v + 45. Suppose 3 = 5*b + v. Is b\/84 + (-645025)\/(-105) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102\/9655 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 229217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -22 and -2.365842?\nAnswer: 52.048524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - 499957.70624.\nAnswer: -499970.70624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 196 - 195. Let p = 2 - 6. What is the second biggest value in p, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8092760 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-9)\/((-28)\/(-8) - 2). Let c be ((1 + 4)\/(-10))\/(1\/h). Suppose 0 = -c*d + 2*d + 46. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 511780249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -131*d + 134*d = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 370939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -5*sqrt(171)\/(2*(sqrt(324) - sqrt(9))).\nAnswer: -sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 44125277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bab when three letters picked without replacement from bbbbabaabb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3560.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3.55878 rounded to two dps?\nAnswer: -3.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7, -26, -59, -112, -191, -302?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes before 10:14 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4 + 14\/4)*10. Sort -12, n, 2, -4 in descending order.\nAnswer: 2, -4, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 0 - ((26 - (-7 - -24)) + -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**2 - 5*r + 6. Let d be p(4). Suppose -3*c - 20 = d*c. Let z = 292\/3 - 1165\/12. What is the nearest to z in -2, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f - 4. Let d be u(-2). What is the units digit of (4 + -4)\/d - -65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67, -146, -277, -460, -695, -982, -1321?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2732649766 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 + 8*q. Let w be p(10). Let s = -13 - w. Sort -4, s, 5.\nAnswer: -4, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6061 - 6672. Sort b, 0.3, 3.\nAnswer: b, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + 0 + -2*sqrt(243) + 0 + (-3 + -1 + sqrt(243) - (2 + sqrt(243) + -2)))*-3)**2.\nAnswer: 2916*sqrt(3) + 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -8*w**2. Let t(f) be the first derivative of f**2\/2 - f + 25. Let h(x) = 4*x - 3. Let g(q) = h(q) - 3*t(q). Determine g(v(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001193832 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74 is divided by -1*5*(-42)\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4652 - 4652.7. Which is the second smallest value? (a) h (b) -1 (c) -2.8 (d) 0 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the second derivative of 25*w**8\/8 - 4*w**4 - w + 8. What is the third derivative of c(v) wrt v?\nAnswer: 21000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -1\/6 (b) -2631 (c) -0.04 (d) 8\/5 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-23)\/(-5) - (-4)\/10. Let w = -37 - -42. Solve -10 = 5*u, w*a + u = m*u - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3400 - -5317. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 11*d**2 + d. Let v be r(-1). Suppose 7*o + 15 = v*o. Which is the closest to 1\/4? (a) -4 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2698 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 0.5 (c) 1980\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6338, 7083, 7826, 8567, 9306?\nAnswer: 10043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 5*j - 1, 0 = -0*j - j + i - 1. Factor 1\/2*f**j + 1\/2 - f.\nAnswer: (f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -1920\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 306183*f**3*g**3 + f*g**3*j**3 + g**3*j**2 - 5*g**3*j + 49953*g**2*j**3 wrt f.\nAnswer: 918549*f**2*g**3 + g**3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 + 658*t**2 + 3305*t - 47. Determine z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/36 and 43\/2707335.\nAnswer: 10829340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -2, 0, -611, 26 in increasing order.\nAnswer: -611, -21, -2, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 801819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 366725153 and 5.5?\nAnswer: 366725147.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let l = -26 + 54. Let i be 8\/l - 99\/(-21). Suppose 3*v + 14 = i*v. Which is bigger: 8 or v?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**3 + 6*y**2 - 6*y - 5. Let f be c(4). Solve 0 = 8*t - f*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h\/((h**(1\/3)\/h)\/h))*h)**40*(h\/((h**(1\/5)\/h)\/h))**(3\/11))**(-1\/23) assuming h is positive.\nAnswer: h**(10874\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -1. Let t = 13 - 12. Let u(v) = v**3 + 4*v**2 + 3. Let s be u(-4). Let z(j) = -s + 8 - 2*j + j + 2. What is t*z(i) + 6*w(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17\/(136\/(-60))*(-16)\/(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of 28*k**3\/3 - 62*k**2 - 80*k + 62. Let h(q) = 0. Calculate q.\nAnswer: -4\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12455004 is divided by 37857.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, z: 4, t: 1, m: 5, d: 4, h: 4}. What is prob of sequence dz?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) 0 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11? (a) -0.04 (b) 0.03 (c) 1 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 - 8. Let d be (-1 - z)*6\/9. Suppose -5*x - 2 = g + 16, -g - 2 = x. Solve g*k - d + 10 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44456747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 - 82*d**2 - 823*d - 384. What is m(-72)?\nAnswer: 7032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, s: 1, m: 1, t: 1, y: 5, h: 3}. What is prob of picking 1 h, 1 t, and 2 y?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -2*m**2 + 2*m**3 + 2*m**2 + (-16*m + 61 - 61)*(-m**2 - 3*m**2 + 2*m**2) as c + o*m**2 + j*m**3 + w*m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 36078877501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -270, 0 in increasing order.\nAnswer: -270, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, o: 2}. What is prob of picking 3 n and 1 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.2 + 0. Sort q, 0, -2\/5 in ascending order.\nAnswer: -2\/5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40 + -37. Solve -t + 0*t = -r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1400145 - 21?\nAnswer: 1400124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 57 - 36 = 0. Solve 4*i - 15 = -b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {b: 7, w: 2, r: 1, n: 1, q: 4, f: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 26 (b) -0.5 (c) 0 (d) 4 (e) -4 (f) 767\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.09 - -5.39. Let s = 0.3 - i. What is the second biggest value in s, -2, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 688\/5 - 138. What is the third biggest value in r, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - 0 - (1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 64 - 12. Calculate the least common multiple of 40 and c.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.9525 and -0.2.\nAnswer: -1.1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -70*((-258)\/60)\/(-43)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 91*c*d**3*t + 2*c*d + d**3*t**2 - 3*d**3*t - 7*d*t**2 - 20*d wrt d?\nAnswer: 546*c*d*t + 6*d*t**2 - 18*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {n: 1, l: 1, c: 1, f: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 5a8701 (base 12) to base 14.\nAnswer: 2a2557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4003*-0.4.\nAnswer: 1601.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-84)\/(-28) - 36\/10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 294788 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2906923, -2906925, -2906927, -2906929, -2906931, -2906933?\nAnswer: -2906935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes before 8:21 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 - 2*m)*(-2 + 47 + 47 - 2*m) + 7*m**2 - 11*m**2 + 7*m**2 to the form b*m + c*m**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 26121947.29 rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**3 + 3798*f**2 - 686784*f - 1192331776 = 0. Calculate f.\nAnswer: -437, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of 0*f**4 + 0 - 1\/60*f**5 + 0*f + 0*f**3 + 2*f**2. Let r(b) = -b**2. What is i(r(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-10)\/(-25) + 0 + (-10546)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 - -2. What is the tens digit of -4 + (14 - (2 + l))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11 - 7. Suppose 3*f + r*a + 0*a = 347, f = 4*a + 105. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 39 - 51. Suppose -j + 17 = u. Let i = u - -37. What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -9*g**2. Let d be 21\/28*1*4*223. Suppose 4*m = -49 + d. Let n(i) = 0*i**2 - m + 155 + 4*i**2. What is n(j(a))?\nAnswer: 324*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 523123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = c - b - 9, 5*c + 4*b = 0. Let m(o) = -7*o - 6. Let r be m(-6). Suppose r = c*v - 0*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0 and -101006302895.\nAnswer: -101006302895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 843000 divided by 50.\nAnswer: 16860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 334*o**3 + 81*o**2 - 416*o - 5. List the prime factors of c(5).\nAnswer: 2, 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2597*g - 5193*g + 54*g**2 + 2596*g - 337*g**2 - 1 as b*g + c*g**2 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -8, -0.2, 72?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 - (-147)\/98)*(-4)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the third derivative of -u**9\/3024 - u**5\/40 + u**3\/6 - u**2. Let i(j) be the first derivative of z(j). What is the second derivative of i(x) wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r - 4. Let t(c) = -c**2 - 21*c + 94. Let i be t(4). Let k(o) = -6*o + 12. Determine i*k(g) - 17*l(g).\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*x = -20*x + 280. Let y(b) = b - b**3 - x*b**2 + 10 + 0 + 15*b**2 - 3. Let m be (0 + (-7)\/(-2))*2. Determine y(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.2, 4, 12, 4.65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -43 - -81. Suppose -c = -4*k + 28, -g = -5*k - 0*k + 2*c. Calculate the remainder when (-10)\/7*(-3 + -4) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/10 - (-24 - -15)\/(-18))*736\/16?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 v, and 2 w when four letters picked without replacement from {q: 1, v: 6, b: 2, w: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.84 - -1.84. Which is the nearest to w? (a) -0.7 (b) -4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the third derivative of c**5\/15 - 5*c**4\/4 - 13*c**3\/3 - 4*c**2 - c. What is the remainder when r(10) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33 and 249.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -455 (base 13) to base 16.\nAnswer: -2ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 137*y**3 - 5*y - 5131 wrt y?\nAnswer: 411*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-d**2 + 0*d**2 - 3*d**3 + d**3)*(-227*d + 556*d - 216*d) as n + x*d**2 + j*d**4 + p*d + b*d**3 and give b.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the third derivative of c**6\/1080 - c**5\/360 - c**3\/2 - 2*c**2. Let o(b) be the first derivative of y(b). Let o(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8718*r**5 + 11624*r**5 - 3611*r - 17365*r**5 wrt r.\nAnswer: 59540*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of -3*q**3\/2 + 5*q**2\/2 + 20*q + 24. Let m(j) be the first derivative of x(j). What is the first derivative of m(d) wrt d?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4710 divided by -6.\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes before 12:45 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -222047400 to the nearest one hundred thousand.\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 16893645 divided by -3378729?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + -3 + -1 + 19. Calculate the greatest common factor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 49, 98, 149, 202, 257, 314, 373?\n\"Answer: n**2 + 46*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4 + -3)*(-2 + 2). Suppose 5*j = r, a + 22 = 2*a + 2*j. What is the remainder when a is divided by -1*((-18)\/4 - 3\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*n + 17486820000 = 42*n - 31*n. What is n rounded to the nearest one million?\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1442778.\nAnswer: 2, 3, 37, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 725 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-9457)\/1050 - -9)*-193. Let l = v - -7\/150. Let 2\/15*m**4 - l - 2\/5*m**2 - 2\/3*m**3 + 34\/15*m = 0. Calculate m.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -be (base 15) to base 9.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1, 11, 13, 7?\n\"Answer: -4*b**2 + 22*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/26 - (9 - (-1974)\/(-13)). What is the greatest common factor of 104 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8748041.\nAnswer: 773, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 10:57 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 46 - 18. Suppose n = w - 3*b, 0 = 2*b + 1 - 7. Let o = 102 + w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5230\/11 in 0, 0.3, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1673427541.\nAnswer: 7451, 224591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 262370?\nAnswer: 2, 5, 26237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6409290 divided by -8062.\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19 - -24. Suppose r*c - 3*o - 45 - 62 = 0, -c + 5*o = -17. Calculate the highest common divisor of 121 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23334214 (base 5) in base 16?\nAnswer: -34796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4367 rounded to two dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -10, -12, -16, -22, -30, -40, -52?\n\"Answer: -i**2 + i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -22, -5\/3, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 7*k**3 - 15*k**2 + 28*k - 12. Let f(g) = -g**3 - g. Let y = 2 + -6. Let u(h) = y*f(h) - j(h). Solve u(m) = 0 for m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + 107133199?\nAnswer: 107133195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 220*b**3 + 2*b**2 - b - 10099.\nAnswer: 660*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011111101000 + -110101?\nAnswer: 1011110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 855492 or 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 5.7. Let r = w + 0.1. Let y = r - 0.80000005. Round y to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1155 + -1149. What is the highest common divisor of b and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24\/42)\/((-192)\/3360)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 9.98+5\nAnswer: 14.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -152874 divided by -57.\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of f**2*k**3 + 1968*f**2*k**2 - 66*f*k**3 + 796*k**3 + 539 wrt k.\nAnswer: 6*f**2 - 396*f + 4776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 4*u - 12 - 12, 3*u - 2*q - 19 = 0. Suppose -120*i = -118*i. Solve i*m = 5*m - u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4+1382203.8244\nAnswer: 1382207.8244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 + 4. Let t = i - -6.7. Let d = -28.2 + 28. Which is the nearest to -1? (a) 2 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -557.9118 - 0.0882. Let k = -558.00813 - o. What is k rounded to four dps?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the third derivative of -85*b**9\/504 - 2*b**5\/5 - b**3\/6 + 4*b**2 + 16*b. Find the third derivative of y(c) wrt c.\nAnswer: -10200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4493.2 plus -504853?\nAnswer: -500359.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 17 (base 8) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36346, -36438, -36530, -36622, -36714?\nAnswer: -36806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-5)*(-2)\/3. Let w = 2 - -1. Let l = -212 + 216. Which is the nearest to 1? (a) m (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -q + 3*v - 1944, q - 2*v = 642. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 1 - 17 = -4*w, 12 = 4*w + 2*y. Which is the nearest to 1? (a) 4 (b) 1\/3 (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n**2 - 12*n + 2. Determine s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**3 + 20*y**2 - 15*y - 3. Let x = -18 - -37. What is the tens digit of h(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 + 118*l + 1. Let v be j(118). Let z(c) = 3*c**2 + 7*c - 8. Determine z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from txxottbto.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l - 6 = 5*v, 8 = -l + 5*l - 4*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3aec915 + 5?\nAnswer: 3aec91a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*3*68 + -4. Suppose 4*r - i - u = 319, 642 = 5*r + i. Suppose -g + k = 4*g - r, -4*k = 5*g - 109. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -10. Let b(r) = -r - 10. Let o(h) = -4*b(h) + 3*f(h). List the prime factors of o(8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 44*q**2 + 3*q - 9. Let m(a) = -15*a**2 - a + 3. What is -6*k(f) - 17*m(f)?\nAnswer: -9*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/408 and 1\/969.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 503 = 2*i + 1391. Is (1 - i\/(-9))*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes before 10:42 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72 is divided by 45.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -486, -1962, -4420, -7854, -12258?\nAnswer: -17626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1404*d**2 + 1025*d**2 + 315*d**2 + 1829*d**2.\nAnswer: 4573*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 31910600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Calculate -26 - ((21 - 5 - 18) + -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + 2*o - 2 + (o + o + 0*o)*(3 + 2 - 4) - o + 4*o - 4*o - 3493 + 3493 + 232*o.\nAnswer: 235*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 12.796200206 rounded to 4 dps?\nAnswer: 12.7962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 370 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4311 - -4316. Sort 2\/3, 1, -1\/5, n, -0.5.\nAnswer: -0.5, -1\/5, 2\/3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -18 + 2 - (-10 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -1, -5, -4 in increasing order.\nAnswer: -5, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*q**3 + 164*q + 68*q - 29*q.\nAnswer: 2*q**3 + 203*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -13 + 21. Let y = 6 - u. Let o be (4\/36)\/(-1)*-2. What is the third biggest value in -4, o, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 523082 and 0.29.\nAnswer: 151693.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = l - 12. Let y(h) = h**3 + h**2. Let a(n) = 3*n**3 + 2*n**2. Calculate l*a(f) - 5*y(f).\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 1441*m**3 - 7*m**2 + 14*m + 1268. Let y(n) = 480*n**3 - 2*n**2 + 4*n + 422. Let d(o) = -2*u(o) + 7*y(o). Find the first derivative of d(c) wrt c.\nAnswer: 1434*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20566?\nAnswer: 2, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 14621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 - -29. Let s be 2*4\/(-16)*r. Is (s*19)\/(5\/(-25)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-28)\/10)\/7 - (-180422)\/(-40). Let h = x - -4505. Calculate the common denominator of -101\/20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -28*a + 6*a + 13*a + (-3*a + 0*a - a)*(-2 + 0 + 1) as r*a + q and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3627 and 26676.\nAnswer: 826956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 866, 1653, 2432, 3203, 3966, 4721?\n\"Answer: -4*w**2 + 799*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 133090 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3*h - 16119 = 0, 0 = -s + 529*h - 531*h + 8035. What is the remainder when s is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 26\/6 - (-2)\/(-6). Suppose l - 3*l + w = -80, -w = h*l - 160. Calculate the remainder when l is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 38 and 277556.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -223113 divided by -4099\nAnswer: 223113\/4099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 15, b: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6002531 - 9*s + 6002531.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -17 (base 11) to base 8\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -2*t + 846, -5*t + t = -2*f - 1704. List the prime factors of t.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 + 2*c - 2. Let y be h(-4). Let p(a) = -a**3 + 5*a**2 + 9*a - 14. Let q be p(y). Calculate the highest common divisor of q and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -0.04 (b) -7 (c) 0.5 (d) -0.2 (e) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -143\/438 and 41\/10.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 21 - 210210201?\nAnswer: -210210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/2*((-120)\/(-27))\/10\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2397349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-144)\/16 - (-2)\/1. Suppose -3*l = -0*l + 3*g - 6, -5*l = -5*g + 10. Let s(n) = l + 4 + 0 - 2 + 2*n. Give s(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 10:22 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*f - 3*f + 3*j + 265 = 283, -3*f + j - 4 - 16 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -3700080 (base 9) to base 13\nAnswer: -553b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0192226 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2956732362 to the power of 1\/3, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -10? (a) -0.3 (b) 0.05 (c) 0.2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2412 - -1166. Is -1247 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 5*x - 3*x = 1250, 2*n + x + 1265 = 0. Let z = n + 1052. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 + 8. Let f be (-642 - 0) + (12\/3 - 2). Let l be (f\/24)\/(-8) + 2\/(-6). Solve j = -l*v, -q*v = -v + j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 3*a**2 - 2. Let l be v(3). Let i(s) = -2*s + 1. Let f be i(l). Suppose c = f*b + 129, 0 = -3*c - 0*c - b + 451. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3834 + 3873.825. Let g = -0.175 - x. Do 1 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 697 - 754. Let n be (-1)\/(5 + 60\/d - 4). Calculate the greatest common factor of n and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2220 + -10010131033?\nAnswer: -10010122213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -6790*v = -8*q - 6791*v, q = -4*v - 62 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -62097\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the third derivative of -13*p**6\/120 - p**5\/15 - 5*p**4\/24 - p**3\/2 + 12*p**2. Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 548 - 390. Let l = k - 165. Let t(i) = -i - 8. What is t(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 3361, 3345, 3315, 3265, 3189, 3081, 2935, 2745?\n\"Answer: -y**3 - y**2 - 6*y + 3369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 + 19. Let s be 0\/((-2)\/(3 + -2)). Is c(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 30641682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (2*d**2 + 3 - 3)*(5 - 4 - 3)*(-4 + 3 + 10)*(0 + 1 + 1)*(0 + 2 - 6)*(13 + 0 - 36)*(-2*d - 2*d + 3*d) in the form l*d**2 + j*d + c + h*d**3 and give h.\nAnswer: 6624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, e: 1, d: 2, a: 1, r: 10}. Give prob of sequence dade.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*t + 12*t = -36*t + 320. Solve -22 = -4*o + 2*x, 0 = 9*o - 14*o - t*x - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 14 = -0*f + f, -3*l - 11 = -f. Suppose m - 1 = -f. What are the prime factors of 20\/(0 + m + 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 467 a factor of 688825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3915)\/(-348)*(-6)\/(-27)*(-44)\/5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -553\/4, -7, 4\/3, -3\/7, -1\/3, -1?\nAnswer: -553\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 11320 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -14\/5131967 and -18\/8255773?\nAnswer: 189882779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 t, and 2 q when four letters picked without replacement from tqqoqqtqqtqootqq.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 7) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2658 and 69551?\nAnswer: 417306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-18 - -3) + (5 - (-2 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -7 - 5*d**2 + d**2 + 0*d - 11*d + 5*d**2. Let v be i(11). Let o(u) = -11*u + 18. What is the tens digit of o(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/3926640 and 113\/960.\nAnswer: 15706560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/3)*f*f**(-1\/2)*(f**(4\/7)\/f)\/f*f\/(f*f**(4\/7)))\/(f\/(f*f**(-1\/3))*f*f**(-1\/8)*f**0\/f*f**(-2\/3)) assuming f is positive.\nAnswer: f**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1341112 - -114?\nAnswer: 1341231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -227132 (base 11) to base 2.\nAnswer: -1011000000110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 + -1. Is 2\/f - 981\/(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -22*f + 157. Let d be y(7). Solve d*o - 4*c = 2, 3*o - 3*c = -8*c - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 2 = 4*c, -3 = 4*z + 31*c - 27*c - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the first derivative of 7*s**2 - 4*s - 32. Let a be y(1). Solve 5*z - 5 = a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 9 - 79*i.\nAnswer: -79*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 67 + 213. Suppose -49 + t = u. Suppose -r = -3*y + 3*r + u, 4*y - 308 = 4*r. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 - 8. Let x = -4 + 10. Suppose 3*c = x - 0. Solve i + 12 = -i + 2*z, -i - 3*z - c = f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4707 or 4704?\nAnswer: 4704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 100 (c) -0.01 (d) 985\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -46*f + 24. What is the remainder when u(-6) is divided by 57?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 100590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -807b3 (base 14) to base 6\nAnswer: -10341521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -27683.5 and -9.7.\nAnswer: -27693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -29*r + 3. Let f be d(3). Let q = 2274 - 2363. Let m = f - q. Calculate the highest common divisor of 40 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9724 - 4864 - 4861 + 77*z**3)*(-6*z + z + 2*z).\nAnswer: -231*z**4 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -52 + 75. Let l = k - 7. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 69732 - -3408. What are the prime factors of x?\nAnswer: 2, 3, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of a**4\/24 - a**2 + 744. Let y(l) = 8*l**2 + 2*l - 3. Let p = -4 + 6. Let h be y(p). Let g(r) = -9*r. Give h*q(o) + 4*g(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 + 92 = 5*k. Suppose 2*j = 5*q - 13, -q + 2 = 5*j + k. Suppose 0 = d + 2*h - q, 5*d - 20 - 40 = h. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from whbuhhbqhw. What is prob of sequence wbw?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -4*q. Let f be k(-2). Let p be 4\/(-25)*6\/f. Does 0 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -58*i**2 + 6*i + 17. Calculate m(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {x: 1, k: 6, u: 1, e: 9}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is u in 3*u**5 + 6351*u**4 + 4492236*u**3 + 1069069056*u**2 + 5251547136*u + 4186963968 = 0?\nAnswer: -704, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-18)\/(-40) - (-54)\/72. Let v(i) = -4 - i + 0*i - 2 - 4. Let q be v(-12). Do f and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -156 + 139. Let l = -13.92 - 3.38. Let j = w - l. What is the third smallest value in -0.4, -2, -3, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tet when three letters picked without replacement from tuolletltlbtt?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 67915449 to the power of 1\/2, to the nearest integer?\nAnswer: 8241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*c + 59 - 10 + 30*c - 61*c.\nAnswer: -c + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 14*j = -6*j + 168975. Does 47 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*f**4 + 8355*f**3 + 75438*f**2 = 0. Calculate f.\nAnswer: -9, 0, 2794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 634817 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*s = 38*s + 154 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 8:02 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 77 and 81088.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a + 1 + 2. Let h be (5 - 1)*(-2)\/148. What is the third biggest value in 0.5, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-109*v**2 + 203*v**2 + 169*v**2)*(-16*v**2 + 42*v**2 - 12*v**2) to the form j*v**3 + b*v**4 + g*v**2 + q + r*v and give b.\nAnswer: 3682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 3*w**2 + 4*w**2 - 3*w**2 + w. Let p be d(1). Suppose p*k = k + 56. What is the remainder when 55 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i - 11. Let b = 225 + -253. What is the least common multiple of (-12)\/(-42) + (-244)\/b + 0 and y(-11)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/75 in -0.1, 0.1, 0.3, -2, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -52 - -62. Let t(b) = -b + 8. Let f be t(y). Let r(u) = -52*u**3 - u**2 + 3*u + 3. Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l - 2 - 0. Which is bigger: l or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + m**2 - 3*m. Determine u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5379782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-21)\/(-4))\/(((-387)\/(-12))\/43).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 9, m: 4, c: 1, s: 1}. What is prob of picking 1 s, 1 c, and 1 k?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79047.\nAnswer: 3, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -y + 8 - 13*y**3 + 3*y - 5 - 1 to x*y**2 + r*y**3 + z*y + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1813.1 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 8*-18596827.5\nAnswer: -148774620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*k**2 + 4*k**2 + 0*k**2)*(k + 3*k - 5*k) + 11*k**3 - 105*k**3 + 16*k**3 to the form a + z*k**3 + c*k + h*k**2 and give z.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 - 25*z - 30*z - 14*z + 11*z - 59*z to j + d*z and give d.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.136 + -2.864. What is the second biggest value in -0.4, 4, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 - 16\/(-4))*(-54)\/((-78)\/13). Let t(f) = 21*f**2 - 2*f + 2. Let x be t(-3). Suppose 0 = o - n - x. What are the prime factors of o?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, 4, -4, 1, 2 in descending order.\nAnswer: 39, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**6*a*a)\/(a\/a**(2\/5)))\/(a**(-4)\/(a\/(a\/(a*a\/(a*(a*(a\/a**(-2))\/a)\/a*a))))) assuming a is positive.\nAnswer: a**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 13020751399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 417 a factor of 21465009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -26\/27 and -2*237\/(-24) - -3.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15671 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the first derivative of -v**6\/5 + 2*v**3\/3 + 2*v + 6. Let q(o) be the first derivative of d(o). What is the second derivative of q(z) wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 150*d = 3101 + 803 - 4 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 460704701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-72)\/(-126))\/(2\/28*2). Solve 3*z + i*j + 13 = 0, -8*j + 5*j = 3*z + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 AM and 2:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + -2.5. Let x = -0.6 - c. Let a = 6\/11 + -23\/22. What is the closest to 0.2 in a, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-86)\/(-30) - 20\/(-150). Solve 0 = 2*r + r + 4*j + 17, 0 = -5*r - v*j - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -23.002 + 0.002. Let y = b + 18. Let m = -2 - -5. What is the third smallest value in 3\/2, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 5599*r**3 - 3*r**2 + 4. Suppose 4*d = -c - 5, 3*d - 2*c + 9 = -c. Let t be v(d). What is t rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76)\/(-1*sqrt(144)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 0.159 (b) -2.56 (c) -1\/6 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 138439416 to the nearest integer?\nAnswer: 11766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 11339 divided by -29\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 9*p**2. Suppose -i + 3*d = 2*d, -2*d = 2*i. Suppose -5*n + i*n - 5*u = -30, 2*n - 11 = -u. Let v(h) = 3*h - n*h - 2*h + h. Calculate v(b(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15 - 15. Suppose -6*n - 12 = -12*n. Suppose 19 - 13 = n*f. Solve 15 = -f*c - i*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.064 and 21006472255?\nAnswer: 21006472256.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 9843621349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 0, -z + 5845 = 2*c - 1341. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 243\/874?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*(c\/(c*c\/c**(1\/7)))\/c*c)\/c**23*c**(-2\/5)\/c**(-21) assuming c is positive.\nAnswer: c**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes after 6:42 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of -w**7\/14 + w**6\/10 + 17*w - 21. Let j(n) be the first derivative of l(n). Factor j(g).\nAnswer: -3*g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 + 5*g**2 + 4*g - 3. Suppose 4 = 7*d - 3*d. Suppose -4*z + 7 = -5*r - d, 0 = 3*r - 4*z. What is q(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -98*a + 102*a - 20. Solve -3*u - a*m + 1 = -31, -u - 3*m + 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from mmmmmmmmmmmommmmmmm?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-94)\/470 - (-1*1 - 0). Which is the third smallest value? (a) 4 (b) 0.4 (c) 2\/9 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**3 + 27*x**2 - 1216*x + 76. Give c(19).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sfsy when four letters picked without replacement from {y: 1, s: 2, o: 4, f: 2, c: 1}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 212, 239, 266, 293, 320, 347?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 65 - (-7430)\/(-118) - ((-2)\/(-2) - -1)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*x - 4*x - 2958 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -5*d - 18. Let a be o(-4). Suppose a*n = 2*v - n + 15, v - n = -5. Suppose -3*w - 3*l + 6*l + 1887 = v, 5*l + 2514 = 4*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -7*y**2 - y**3 + 0*y**3 - 5 - 5*y - 2*y. Let n be b(-6). Suppose -2 = 2*j - 0. Put -5, j, n in decreasing order.\nAnswer: n, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7216503kg to grams.\nAnswer: 721.6503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = 21 + 3 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 249.26 + -249. Let g = 13.2 - 9.2. What is the closest to m in -0.4, g, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/1*-1 + (-24)\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -213 + 151. Let r = -8 - z. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 PM and 3:50 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2133 - -13653. Let t be (123\/h)\/((-4)\/10398). Let z = 4\/877 + t. What is the common denominator of -101\/8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*x = -27*x + 24. Suppose 2*p + x*u = 48, -5*p = -u - 23 - 75. Solve -3*w - 2*k + 0 = 3, -5*w + 5*k = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 751699 is divided by 83490.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 5058 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: Suppose -2*m**4\/11 + 4908*m**3\/11 - 1766650*m**2\/11 + 171442368*m\/11 + 349990632\/11 = 0. Calculate m.\nAnswer: -2, 207, 2042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*u**4 + 552*u**3 + 17908*u**2 - 78384*u + 80656.\nAnswer: 4*(u - 2)**2*(u + 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 4 - 6. Let n(c) = 5*c - 17*c + 3 + 2*c + 8*c + 0*c. Let o(z) = 4*z - 7. Determine m*n(p) + 2*o(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -3*x**3 - 10*x**2 - 14*x + 8. Is 14 a factor of s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (72\/(-27))\/((-4)\/6) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1945, -3902, -5859, -7816?\n\"Answer: -1957*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22 - ((18 - (62 + -18)) + (13 - -1))) + 114.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-40)\/(-6)*(5 + -2). Let i = a - 11. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -37.88388 - -37.9. What is j rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 21566 + -21563. Let b = -9 + 13. What is the nearest to 0 in -11, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1020230 - 333?\nAnswer: -1021223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**3\/7 - 1018880*d**2\/7 - 2037766*d\/7 - 1018884\/7.\nAnswer: 2*(d - 509442)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 5*p + 4*h - 0, 6 = 3*p + 3*h. Determine n so that -3*n**2 + 869 - p*n - 1742 + 873 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (0 + -5*(sqrt(539) - (sqrt(539) + (sqrt(539) - (sqrt(539) + 0)))) + 3)**2 + 5 + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 + 7*t + 6. Let c = -44 + 42. Let x be (7 - (5 + c))*(3 - 4). Determine y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9570*n = -5*w - 9681*n - 20, -3*w + 0*n - n - 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 + 8*b**2 - 7*b - 2. What is the remainder when y(5) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**2 - 9*p + 1. Give w(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -13*q - 402. Let r(n) = 16*n + 402. Give 5*i(v) + 4*r(v).\nAnswer: -v - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*v - v = 308 - 98 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -432.42 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 124 (base 14) to base 6.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 41*d**3*t**2 - 3*d**2*t**2 + d + 5*t**2 wrt d?\nAnswer: 246*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 7831\nAnswer: -8\/7831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*v - 16*v - 2*v + 2*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22 + 25. Suppose -3 = -4*v + 3*n + 15, n = m*v - 11. Solve -1 = -d + v*w - w, 0 = -d - 4*w + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/(n*n\/(n\/(n*n\/n**(-4)))))\/(n*n**6))\/((n\/n**1)\/n)**(13\/3))\/(n**(2\/11)\/(n\/n**(4\/5))*(n**(-1\/4))**(-2\/19)) assuming n is positive.\nAnswer: n**(-54391\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 1190 = 5*f, -5*f + 0*w - w + 1202 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2010*m - 2 - 2046*m + 3)*(2*m**3 - 2*m**3 + m**3) in the form h*m**4 + x + a*m + k*m**3 + d*m**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-13)*263\/1052*(0 + -3)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:17 AM and 5:58 AM?\nAnswer: 161","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Put 0, -2\/5, -29, 1, -27 in ascending order.\nAnswer: -29, -27, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-21)\/a*a**(2\/5))**(-1\/10))**30 assuming a is positive.\nAnswer: a**(324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 72*z**2 - 21*z + 14. Let v = -168 + 190. Let u be a(v). Round u to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*q - 20*q + 4*q + (13 - 33 + 1)*(72*q + 112 - 112).\nAnswer: -1374*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aux when three letters picked without replacement from {u: 3, w: 4, a: 6, x: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5252c0 - -2?\nAnswer: 5252c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*p**3 + p**2 - 349147*p + 1770891?\nAnswer: -6*p**2 + 2*p - 349147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.4 + -0.8. Let z = i + 0.1. Let s be 2\/12 - (-13)\/(-6) - -1. What is the nearest to s in z, -0.5, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -251 - s**2 + 2*s**2 + 252 to the form l*s + b + d*s**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h + 4. Let w = 2 + -2. Let z be u(w). Calculate the greatest common factor of 36 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -27 <= -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*c**3 - 14956*c**2 - 119392*c.\nAnswer: -4*c*(c + 8)*(c + 3731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 9611c + 9?\nAnswer: 96127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 8\/9, -10, 4, -5, -20, -16?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2386*o**2 + 6420*o - 1610*o - 1608*o - 1600*o + 2389*o**2 - 1602*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 31\/((-112)\/140*(-25)\/(-10))\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - 17 - (-285 - -248).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w**3 + 49*w**2 - 14*w - 150. Determine x(24).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**4 - m**3 - m + 1. Let s(z) = 5*z**5 - 5*z**4 + 50*z**3 + 10*z**2 + 25*z - 25. Let r(a) = -25*i(a) - s(a). Factor r(f).\nAnswer: -5*f**2*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times 124203?\nAnswer: -124203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 10 - (-21 + 35 + -21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*b = 3*b + 80. Find the third derivative of 9*p**2 + 2*p**5 - p - 15*p**2 + 4*p**b - 6*p**3 - 31*p**2 - 9*p**2 wrt p.\nAnswer: 360*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8.8199 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 688279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 + 9*o**2 - o - 1. Let j(r) = r**2 + r. Let m(g) = -f(g) - 2*j(g). Let q be m(11). Are q and -9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 111316 and 9420.\nAnswer: 262149180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qpmfzaz. Give prob of sequence mf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 989422 and 341180.\nAnswer: 9894220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 + 1)*1 - -4. Suppose -10 + 34 = -u*b. Let p(z) = z**3 - 6*z**2 + 6. Let f(m) = -m**2 + 1. Calculate b*f(c) + p(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1, -48865 in increasing order.\nAnswer: -48865, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5418008147 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300) + (-5 + (sqrt(300) + sqrt(300)*-2 + sqrt(300) - sqrt(300)) - sqrt(300)))**2 - (4 + sqrt(300) + sqrt(300) + -1).\nAnswer: 80*sqrt(3) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 18 = 6. Let k(v) = -v**3 - 5*v**2 + 4*v - 8. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 30 = 3. Let m = k - -17. Which is bigger: 11\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -35*h**2 + 25*h. Let p(a) = -2*a. Determine p(j(u)).\nAnswer: 70*u**2 - 50*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -2*y**3 + 14*y**2 - 8*y - 21. Determine k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 564246 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 AM and 7:43 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 76534957 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 26\/2*(-70 + (-65590)\/(-910)) and (-2)\/(-2)*1*9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 176 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a - 2. Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -82 - -293676.\nAnswer: 293594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65274573?\nAnswer: 3, 7, 13, 181, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -3*x + 78. Let m be n(3). Suppose -4*a + 11 = 251. Let j = a + m. Solve j*h - 4*h = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1476 at most 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 983579245 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 745765156, 745765155, 745765154, 745765153, 745765152?\n\"Answer: -p + 745765157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 419601306 a multiple of 1529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.807 and 43.18.\nAnswer: -34.84626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 482868528.\nAnswer: 2, 3, 10059761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -648572, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/14 and (-1852)\/(-280) - (-4)\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -80851.303+0.4\nAnswer: -80850.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 4 + 10)*(-12*k + 1 + 8*k - 2*k) + 8 - 8 + k)*(-3 + 0 + 4)*(-3*k + 0*k + 4*k).\nAnswer: -35*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Solve -1445*u**5 + 560320*u**4 + 1823995*u**3 + 1535890*u**2 + 289300*u + 15640 = 0 for u.\nAnswer: -2, -1, -2\/17, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*l**3 - 737565*l**2 + 737565*l**2 - 145*l**3 - 137*l**3.\nAnswer: -270*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12751\/10 - 2499249\/1960. Calculate the common denominator of w and 3\/4.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 (base 16) in base 4?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 512650.\nAnswer: 2, 5, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-36)\/30)\/(2\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 0 + -5 + (-3*sqrt(70)*-2 + 2*(-1*sqrt(70) + sqrt(70) - sqrt(70)))\/((sqrt(120)*-1*-2)\/sqrt(12)).\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.04 + 0. Let z = i + 4.04. Let o = 59.5 - 59. What is the second smallest value in 6, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1875530324 divided by -6.\nAnswer: -937765162\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x. Let n(y) = -164*y + 14 - 10 + 69*y. Let q(b) = 4*b - 1. Let s(l) = -n(l) - 5*q(l). Determine s(a(v)).\nAnswer: 150*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2701 times 1?\nAnswer: 0.2701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-616)\/(-1584)*(-8)\/(-14))\/(-6*17\/(-33966)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -4*o + 30. Let s be p(6). Suppose -345 = -s*f + 357. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1442 is divided by 1\/(-6)*-1259 - (2415\/(-126))\/(-23).\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1048 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: Solve -3*l**3\/8 - 2715*l**2\/2 - 207207*l\/2 = 0.\nAnswer: -3542, -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**3 - 260*y**2 + 1262*y - 1500.\nAnswer: 2*(y - 125)*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*v = -22*v - 33036. Let s = 3902 + v. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 2 = -4*j. Let v = 13 - j. What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/(11 + -2) - (-11124)\/(-81). Which is bigger: -0.3 or t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**3 + 2*v**2 + 3*v - 3. Let m be z(4). Suppose 500 = -33*i - 127. Is m smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -65\/1254 and -14\/5?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*p**3 - 2*p**3 - 4*p**3 + (2 - 2*p**2 - 2)*(0 + 0 + 2*p) + (-p**2 + 4*p**2 - p**2)*(4*p + 2*p + 2*p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 774647 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.3 + 4.4. Let q = -0.5 + 4.5. Let d = q - 4. What is the third smallest value in 3, p, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -0*r + r - 9, 0 = -2*r + 3*g. Let m = 40 - 38. Solve m = -5*b - z, -r = 2*b + 5*z - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -10 - -111?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qlw when three letters picked without replacement from ilrwwqwwi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 161849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/12*(-4)\/1. Suppose -5*y = 3*a - 14, 2*y + 0*a + x*a = 4. Solve y*u - u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -28*(-3)\/(-3)*7\/(-14). Solve -i = -4*l + j + j, 0 = j - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -2264, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -24? (a) 3\/2 (b) 0.4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (104 + -87 + 2 + (-2 - -1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 1, j: 1, v: 1, o: 1, t: 1, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -257544, -1028952, -2314624, -4114554, -6428736?\n\"Answer: n**3 - 257138*n**2 - n - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (5*n**2 + 4*n**2 - 4*n**2)*(-2 + 2 - 3*n)*(-4 - 2 + 3) + (3*n - 4*n + 3*n)*(6*n + n**2 - 6*n) in the form y*n + x + k*n**3 + d*n**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4102 + -13413321?\nAnswer: -13404214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 95 + -75 - (3 - -26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 39566 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -2*u**4\/3 + 82*u**3 - 2304*u**2 - 40960*u\/3 = 0.\nAnswer: -5, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 111550.0578 - 111584. What is k rounded to one dp?\nAnswer: -33.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 + 4. Let k(m) be the third derivative of -m**4\/24 + m**3\/2 + 9*m**2. What is k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 4*y = 44 - 8, 0 = -5*o - 2*y + 30. Solve -24 = o*p - 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/20*-42 + (-12)\/(-20). Let h = 296\/5 - 59. Let f(u) = u**3 + 2*u**2 + u - 1. Let m be f(-2). Put m, q, h in decreasing order.\nAnswer: h, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than or equal to 204\/4711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 60933 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1398994.1209861 + 1398994. Let r = s + 0.121. Round r to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2545 or 3089?\nAnswer: 2545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the second derivative of 1 + 0*v**4 - 3\/2*v**2 + 0*v**3 - 7*v + 3\/10*v**5. Find the first derivative of t(n) wrt n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = -3*o - 30, o + 13 = 4*y + 3. Round o to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.02+-3168483335659\nAnswer: -3168483335659.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 233*i = 227*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -9*u**3 - 2*u + 1. Let m be i(1). Let z(d) = -d**2 + 9*d + 2. Let r be z(7). Let h = r + m. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -o + 1. Let d(f) = f**3 - 4*f**2 - 10*f + 13. List the prime factors of d(o).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3776)\/9912*(-7)\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -18\/55 and 49\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 129439 = -3*u + 28022, 4*f = 2*u - 104978. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 731 - 728. Suppose -29*g = -84 - m. Let l(o) = o**2 - o - 2. Let t be l(4). Solve t = -3*f - 5*k - 0, g*f = k + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 545318504 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000171166 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, -0.16, 386, -0.3 in ascending order.\nAnswer: -0.3, -2\/9, -0.16, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61723*r + 118419*r + 114527*r - 14320*r.\nAnswer: 280349*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (-3 + -1 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29752, 7900, 70654, 158510, 271468, 409528, 572690?\nAnswer: 760954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140*r**2 - 43802338 + 87604669 - 43802330.\nAnswer: -140*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1785, 7133, 16087, 28683, 44957, 64945?\n\"Answer: 6*o**3 + 1767*o**2 + 5*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 99324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the second derivative of -7*l**4\/6 - l**3\/3 + 6*l**2\/7 + 5*l. Suppose k(i) = 0. What is i?\nAnswer: -3\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q - 7. Let o be h(5). Let g(b) = 86*b**2 + 3 - 87*b**2 + 2329*b - b**3 - 2327*b. What is g(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 - 14*c + 16. Let w be f(-14). Let z be (-5)\/2*w\/(-20). What is the second derivative of -4*a**2 + 2*a**z + 2*a**2 - 5*a**2 - 12*a wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23055 (base 6) in base 9?\nAnswer: -4438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from duuzzuzdduz. What is prob of picking 1 z and 3 u?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -9*a*m**2*r + 933223*a*m + 7812682*a*r + 2*m**2*r - 59*m**2 wrt r.\nAnswer: -9*a*m**2 + 7812682*a + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eer. Give prob of sequence re.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*s - 5*n + 13, -5*s - 3*n + 19 = 0. What is the second biggest value in -0.2, s, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 277960\/37 bigger than 7511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 48498 divided by 177\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11273 + 0.2.\nAnswer: -11272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the third derivative of 2*x**5\/15 + 7*x**4\/24 - 3*x**2. Let z(t) = -t**2 - t. Determine 2*l(o) + 14*z(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19)\/4 - 8\/32?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1523155*n**3 + 19*n**2 - 487*n - 46 wrt n?\nAnswer: -9138930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -24 and -0.051.\nAnswer: 1.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 2*q - 18. Let t be b(13). Suppose 18 = z - t. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 372912 is divided by 86.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -21110020 (base 3) to base 4.\nAnswer: -1110321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:19 AM and 5:44 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 44016522 (base 8) to base 14.\nAnswer: 137bd2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.555851092 rounded to 2 dps?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 6*l**2 + 5*l - 5. Let a be x(-5). Let o(m) be the third derivative of m**6\/120 + m**5\/12 + 2*m**2 - 49. Let q be o(a). Solve q*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r - 24*r = 24*r - 357 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-5*sqrt(243)*2 - sqrt(243)) + 5)**2 + 3)*1.\nAnswer: -990*sqrt(3) + 29431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.8 - -2.7. What is the third biggest value in m, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -31*-19\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-4))\/((42\/(-16))\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 2*f - 5*p, -4*f = p + 16 - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -27 and 435500.2?\nAnswer: 435527.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -11*f + 70. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13072?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8476, -8471, -8466, -8461, -8456, -8451?\nAnswer: -8446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1223 (base 4) in base 2?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 27*n + 38 - 28*n + n**2 + 350*n**4 - 347*n**4 in the form j + l*n**2 + a*n + o*n**4 + g*n**3 and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000088029 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = a + 14, -6*h = 5*a - h + 70. Let x(y) = 2*y**3 + 18*y**2 + 9*y + 5. Let g be x(a). Let w = -1398 - g. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.8403449*1.6.\nAnswer: 6.14455184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 97 - 86 = 8*y - 14*y, 2*l - 43 = 63 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -21 (b) -0.7 (c) 0 (d) 3 (e) 2\/5 (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 3, l: 7, r: 4, y: 5}. What is prob of sequence nnyn?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 185 or 181630?\nAnswer: 181630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/((x**(-26)*x)\/x)*x**(-30)*(x\/(x\/(x\/(x**(-15)*x))))**25 assuming x is positive.\nAnswer: x**372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2*1*-1)\/(5\/(-10)). Let p be (14\/j)\/((-45)\/(-12) + -4). Let q(a) = -a**3 + 15*a**2 - 14*a + 2. Let t be q(p). Solve -5 = t*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of -5*l**3\/6 + 39*l**2\/2 - 23*l. Let p be y(7). Let a(q) be the second derivative of q**3\/6 + q**2\/2 + 67*q. What is a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 1174*i. Let t(w) be the second derivative of w**4\/12 + w - 889. Calculate d(t(l)).\nAnswer: 1174*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 5ea9 (base 15) to base 13.\nAnswer: 9258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2460\/(-861)*7\/(-6)*(-20)\/(240\/126).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*p**3 + 5*p**3 + 5*p**3 - 1 + 21*p**3 - 13*p**3.\nAnswer: 18*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p**2 - 18*p. Let o(t) = 1312*t**2. Determine n(o(r)).\nAnswer: -1721344*r**4 - 23616*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w - 5*l + 1669, -9*w + 4*l + 1660 = -5*w. Let k be ((-2)\/(-5))\/(3 - w\/140). Is 10 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 13) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 8325 = -76*s + 6729 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 0 + o + 1 + o. Let h be (-16)\/(-6)*(-12)\/(-8). Suppose h - 5 = -f. Determine i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4757619 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**2 - 3*z + 19. Let h be l(-7). Let d(i) = 3*i + 25. Let q be d(h). Let n = 1\/113 + -346\/791. Which is the closest to 1? (a) n (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 5 = 0, 12 = -5*f + q + 52. Let s = -13 - -13. Suppose -4*w = 3*k + 3, -3*w - 2*w + 5*k + 5 = s. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 67157*v**2 + 9*v - 8. Let q be f(-12). Let i = -4470492 + q. Round i to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 * -3.802\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/((-30)\/(-35)))\/((-14)\/(-84)). What is the greatest common divisor of z and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 4:29 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:39 PM and 6:44 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 251589650 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -871 + 265*q - q**3 - 322*q + 872 to the form z*q**3 + b + o*q + i*q**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor w**4\/8 - 157764*w**3 + 1262111*w**2\/8.\nAnswer: w**2*(w - 1262111)*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.8 - -13.2. Let q = 17.1 - z. Round q to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 3*x**2. Let n be 5\/2 + 3\/(-6). Suppose 1 - 5 = -n*z. Let w(h) = h**2 - 4*h**z + 2*h**2. What is w(s(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47*v + 1808104 - 1808104.\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -22021120 (base 3) to base 10\nAnswer: -6036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u**2 + 8584*u - 129660 = 0. Calculate u.\nAnswer: -2161, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 11104.3 millilitres to litres.\nAnswer: 11.1043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8910 and 5804460.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 6 = 0, 7*f - 10*f + 7 = 2*a. Let d(b) = -5*b**2 - 20*b + 29. Let i(v) = -1. Let p(g) = f*d(g) + 4*i(g). Let p(t) = 0. What is t?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -147030143436 and -3.8?\nAnswer: 147030143432.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 8) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes before 6:27 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 48*v + 246. Calculate c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*k - 70*k - 14973 = 108*k for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 22 = -4*j, 4*j = -2*w - 2*w + 4. Let f = -15 - -8. Let y = w - f. Which is the second biggest value? (a) 0.3 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1\/6846 + 110107\/3423. Let b = -92\/3 + c. Solve -b*d - 3*d**2 + 0 - 3\/2*d**3 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*f = -324 + 643 - 319 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2266*c + 11530*c - 4009*c - c**3 + 1700*c + 8325*c.\nAnswer: -c**3 + 19812*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 + -2)\/(4\/(8\/(-3))). Solve 0 = -p*j + 5*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49272 = 4*d - 44904. Let p(z) = 24455*z**2 - 2*z - 1. Let m be p(-1). Let f = d + m. What is f rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 253 + 75 - 110 - 236*n**3 + 109 wrt n.\nAnswer: -708*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -20\/3? (a) -5 (b) -9 (c) 0.8 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1a16158 (base 12) in base 15?\nAnswer: -73b465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, 15, 42, 81, 132?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 245 + -228. What is the smallest common multiple of 8 and o?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 168 = -11*z + 201. Factor -z - 77 + 16*k**3 - 17*k**3 - 60*k - 120 + 18*k**2.\nAnswer: -(k - 10)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(120) + -4*sqrt(120))*6)\/((1*sqrt(80)*-4)\/sqrt(8)*6).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 74050 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be 11 - 32\/4 - (2 + 0). Sort 0, -6, n.\nAnswer: -6, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g\/g**2)\/(g\/((g*g\/g**(16\/7)*g)\/g)*g))\/((g\/g**(-4))\/g)**38 assuming g is positive.\nAnswer: g**(-1080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -18700 divided by -34\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.8 + -3. Let u = 0.1 + w. Let q = 11 + -12. Which is the nearest to u? (a) -2\/7 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 19833, 158486, 534831, 1267716, 2475989, 4278498?\n\"Answer: 19808*v**3 - 2*v**2 + 3*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**2 + 3*r - 3. Let b(f) = -2*f**2 - 4*f + 4. Let x(y) = -4*b(y) - 5*p(y). Let c be x(1). Let q be (-8)\/3*9\/(-6). Solve -u = -c*u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -14.4 * 552625\nAnswer: -7957800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (14 - 14 + 4*b + (2 + 1 - 2)*(b + 2*b - 5*b) - 14 - 5*b + 14)*(0 - 3 + 1)*(2 - 4 + 4) to p + o*b and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 1\/22 (c) 4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b + 15. Calculate d(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0 times 7602\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 57879 and 77172?\nAnswer: 231516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*a + 166 + 207 - 61 = 0. Solve 59*o = 56*o + 3*u - a, -4*u + 32 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n and 1 j when four letters picked without replacement from {w: 1, j: 3, n: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 527237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -38*s**2 - 56 + 19*s**2 - 14*s**2 + 56. Let m(p) = -3*p + 8. Let o(w) = -w + 3. Let u(j) = 3*m(j) - 8*o(j). Determine u(y(r)).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**2 - 18*i - 65. Let t be n(-10). Factor -6*s**3 - 24 + 27*s - 32*s**2 + 33*s + t*s**3 - 10*s**2.\nAnswer: 3*(s - 2)**2*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(-2\/7)\/j)\/(j*j*j*j**1*j))**(10\/3))**(-2\/13) assuming j is positive.\nAnswer: j**(880\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 94959514?\nAnswer: 2, 13, 29, 125941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -12*c**3 - 2*c**2 - c. What is the remainder when s(-1) is divided by (-1)\/((-2)\/12) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 125*k**2*q**5 + 4*k**2*q**2 + k**2 + 8*q**2 wrt q?\nAnswer: 7500*k**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 17, v: 2}. Give prob of sequence hvv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 3906*p - 6273. What is the thousands digit of f(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/100 and -97\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*d + 371*d - 2077 = -18341 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let m = 2499 + -62466\/25. Let v = -12\/175 - m. Find the common denominator of (-1)\/1 - 178\/(-16) and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4683256633 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-33))\/(2\/(-24)*-4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (80\/15)\/(2\/12). Suppose 0 = 2*v + l - 162. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 4, -10\/27, -15, -0.23, -12, 3\/2, 0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 624549.45 - -357566.\nAnswer: 982115.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -129914, -129938, -129962, -129986?\n\"Answer: -24*t - 129890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t - 1. Let a(j) = -2*j + 2. Let y(n) = -4*a(n) - 7*h(n). What are the prime factors of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -7 + 1 + 1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 241 - 241.5. Which is the nearest to -1? (a) 0.21 (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 166645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -293932 or 0.1?\nAnswer: -293932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, 551, -4233 in descending order.\nAnswer: 551, 5, -5, -4233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 448720993 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3\/2 - 2*s**2 + 3*s\/2.\nAnswer: s*(s - 3)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 12 + 10 - 22 + 1138*q + 11*q**2 as r*q**2 + a*q + g and give a.\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 220080 divided by -280\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1009380 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -223*a**2 + 358 - 713 + 87*a**2 + 354.\nAnswer: -136*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -86920*j**2 + 14*j + 1302?\nAnswer: -173840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 50988908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Solve 11 = 2*d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -602 - -602.2. Which is the biggest value? (a) -1 (b) 5 (c) w (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-36 - -37)*-36546*1*(-4)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 4*y**2. Let t(i) = -74*i - 148. Let z(r) = -2. Let q(g) = t(g) - 74*z(g). Give q(x(h)).\nAnswer: -296*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, 5, 22, -1 in ascending order.\nAnswer: -26, -1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 4*x + 2. Let q be k(-3). Let b(y) = y**2 + 9*y - 2. Let c be b(q). Solve -j - c = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68724637061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30912 divided by 7.\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36757, -71586, -106415, -141244, -176073, -210902?\nAnswer: -245731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d*(d*d**(-2\/13))\/d*d**(-14) assuming d is positive.\nAnswer: d**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*b**2 - b**2 + 4*b**2)*(-14200*b**3 - 96098*b + 96098*b).\nAnswer: 28400*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0005750537 to 6 decimal places.\nAnswer: 0.000575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h + 7. Let d be z(-6). Let g(k) = -23*k + 7. Let n(o) = 2*o - 1. Let w(m) = -g(m) - 5*n(m). What are the prime factors of w(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h\/h**1))**(4\/21)\/(h\/h**(4\/5)*h)**(-2\/81))**3 assuming h is positive.\nAnswer: h**(208\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000071882 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 300*h**2 - 101404*h + 1279. What is c(338)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**2 + 41224260*q - 82448540.\nAnswer: 5*(q - 2)*(q + 8244854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 2\/126307 and 24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 + 8 - 2) + 5 + (-10 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -123*s = m - 126*s - 40861, -2*s = -3*m + 122639. List the prime factors of m.\nAnswer: 5, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/21)\/((-4)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 8634 = 4*x, 0*t + 5*t - 2*x - 14404 = 0. Which is bigger: 2883 or t?\nAnswer: 2883","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -5*v**3 + 2*v**2 - 12*v - 7. Determine j(-4).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 78 - 511\/6. Suppose 8 = -5*j - 2. Calculate the common denominator of j\/(-16)*876\/18 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 235, 935, 2103, 3739?\nAnswer: 5843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -2*(-2 + sqrt(208) + -1 + sqrt(208) + sqrt(208) - (-1 + sqrt(208) + -1 - sqrt(208) - sqrt(208))))**2*-5.\nAnswer: -66605 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (((-72)\/10)\/3)\/(8*(-72)\/389760) and 1218.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/13, -102, -69, -2, 7 in ascending order.\nAnswer: -102, -69, -2, 2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 6*h - 3. Let q(u) = -u + 1. Let t = -15 - -11. Let k be -2 + 1 - (8 + -6). Let x be 1\/k*60\/t. Give x*q(d) + a(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3555344030 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 3*d**2 + 3*d + 1. Let m be v(4). Let z be (m\/(-4))\/(2\/8). Suppose z*w - 88 = -w. Calculate the greatest common divisor of w and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 256\/12 - (-3)\/(-9). Suppose -2*j = 39 + s. Let o be 36*9\/((-81)\/j). What is the greatest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/6*12\/(-1). Suppose -f*w - 11027 = 21409. Let a = w + 43109. Round a to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79866*k**2 - k**3 - 7 - 79866*k**2 + 10 - 3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 848 and 3816?\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 15 - 9 = 3*o, -2*o + 10 = 3*k. Let p = 13 - k. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25570*i - 25599*i + 725 = 0. Solve 3*j - 50 = 5*k - i, 19 = 3*k + 5*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 6 + 4 = 0. Suppose -o + 2*j = -9, -s*o = j - 29 + 6. Let m be -1 + (o - (-2 + 2)). Sort m, 1, 0.4.\nAnswer: 0.4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 20*f**3*m**4 - 309790*f**3*m**2 + 5929*f*m**5 wrt m.\nAnswer: 480*f**3*m + 355740*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 11101100 (base 2) to base 16.\nAnswer: ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3485, -3484, -3481, -3476, -3469, -3460, -3449?\nAnswer: -3436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (93\/(-2945)*38)\/(1*(-4)\/70)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2*u - 10. Let w be i(-8). Let l(h) = -h**3 + 7*h**2 - 4*h - 1. Calculate l(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + 62 + -26 + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 + l - 5. Let s(o) be the first derivative of 2*o**3\/3 - 3*o**2\/2 + 9*o - 3. Let m(d) = 3*s(d) + 5*t(d). Determine m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3\/2*(-872)\/(-12).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 524903417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3402146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 5*g - 92, 3*g - 3*j - 67 = -10. Let q = -12 + 49. Suppose -4*d - q + 109 = 0. Calculate the highest common factor of g and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/5 + 241*i\/5 + 8668\/5.\nAnswer: (i + 44)*(i + 197)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4502 - -2280. Let m be (6\/1)\/((-4)\/n). Calculate the common denominator of 2\/6*m\/(-22) and -9\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7218 divided by 401.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 41391 and 1053171.\nAnswer: 9478539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + n = 11. Let t be (140\/(-21) + 5)\/(0 + (-2)\/48). Let s = t + n. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.01 - -0.19. Let k = -197.2 + 197.5. Sort -2\/7, k, b, -4\/23 in ascending order.\nAnswer: -2\/7, -4\/23, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) 0 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 14, 1049, -4, 5 in decreasing order.\nAnswer: 1049, 14, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -100210221 (base 3) to base 6.\nAnswer: -53041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (1012\/(-3450)*5)\/((-1)\/(-3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -399006 + 174316. What is m rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.06 + 0.06. Let n = 0.2 - z. Let y(g) = -2*g**2 + 40*g - 40. Let i be y(1). Which is the smallest value? (a) n (b) -1 (c) i (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19, 41, 99, 211, 395?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - o**3 + 2 + (11 + 11 - 9)*(-316*o**3 + 485*o**3 - 231*o**3) to m*o + t*o**3 + u + z*o**2 and give t.\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the second derivative of -5*k**3\/3 + 14*k**2 - 2*k + 11. Is 21 a factor of x(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) 7\/2 (c) 0.5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/12)\/((-252)\/(-144)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6285, 6298, 6311, 6324, 6337?\nAnswer: 6350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 4102*n**4 + 2*n - 445. Let u(g) = 24611*g**4 + 13*g - 2671. Let c(l) = 13*m(l) - 2*u(l). What is the derivative of c(q) wrt q?\nAnswer: 16416*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + -4. What is the first derivative of -4*l**2 - 2*l**2 + l**2 - 9 + 2*l**z wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*m**4 - 8*m**3 + 60*m**2 + 128*m + 64.\nAnswer: -4*(m - 4)*(m + 1)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -3154, -0.197 in descending order.\nAnswer: -0.197, -4, -3154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3875 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*y - 551 = -4*y - 779 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -16.78 and 5.\nAnswer: -83.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in 0.4, 44, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 300833 is divided by 2810?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.6 and 8.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 - 5*l**2 - 8*l - 8. Let x be c(-4). Suppose -11*m = -x*m - 438. List the prime factors of (-4)\/(-8)*m*1.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-6) + 28\/(-6). Let y(w) = 2*w**2 - 104*w + 196. Let g be y(50). Let h be (-1)\/1*(4 - 1). Sort h, o, g in descending order.\nAnswer: h, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 8217540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*k = 2*k - 56 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 4207 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 80*b**2 - 15*b - 21. Let x(t) = 16*t**2 - 3*t - 4. What is -2*a(k) + 11*x(k)?\nAnswer: 16*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -5.374177 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15532132.\nAnswer: 2, 7, 11, 211, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 7*a - 2. Let u be o(12). Suppose 2*x - u = 4. Calculate the remainder when x is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 141836192?\nAnswer: 2, 4432381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 + 6*p**2 + 12*p - 30. Let z be y(7). Suppose n = -0*r + z*r + 428, 2*r + 1730 = 4*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 - -11. Let z(c) = -c - 1. Let x be z(h). Suppose 0 = -x*n + 5*n - 950000. Round n to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 23.3513095 to 1 decimal place.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41762048.\nAnswer: 2, 37, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6197\/2 - 3315. Let b = 218 + r. Solve -1\/2*d**3 - 2 + b*d**2 + 0*d = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -19*j + 29*j. What is the third derivative of 218*n**6 + 6*n - n - 3*n**3 - j*n - 229*n**6 + 47*n**2 wrt n?\nAnswer: -1320*n**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d - d + 5*d)*(-8259 + 10989 + 4085 + 10459 + 12940).\nAnswer: 30214*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9939 + 9942. What is the closest to 317 in -3, 1\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - 3*j + 922, -7 = j - 5. Let a = c + 338. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -92407976*j**2 - 262265662*j wrt j.\nAnswer: -184815952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 635566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -3*j + 16. Let t be v(4). Suppose -6*c = -t*c + 10, 0 = 3*i - 2*c - 409. Let f = i - 127. Solve f*s = s + 2*w, -7 = s + w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12483 + 686537\/55. Calculate the common denominator of j and 29\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 4, 5*p - 4*p = -l + 5. Let z(t) = -t**2 + 6*t. Let o be z(6). Put o, -4, 4, p in decreasing order.\nAnswer: 4, p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**2 + 5*z - 7. Let j be r(-5). Let c be 48\/21 + 2\/j. Let q(y) = 3 - y**c + 2 - 1. Calculate q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 3*v**3 + 2*v**2 - v - 1. Let o be z(1). Suppose o*w + d = 24, 0 = -3*d - 0*d. Solve w*f - 5*f = 3*a + 6, -5*f - 30 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 5*r = 6*r. Let j be ((-36)\/8)\/3*(r + -6). Suppose 0 = -j*s + 7*s + 6. Solve 4*l = s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -290966\/5 + 58194. Factor -b*d**2 + 2\/5*d**3 + 0 + 2\/5*d.\nAnswer: 2*d*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1226 divided by -5.\nAnswer: 1226\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - -14a52?\nAnswer: 14a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v = 3*v - 3*h - 17, 4*v - 4 = 2*h. Sort v, -4, 1 in decreasing order.\nAnswer: 1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + -7?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-31*3\/2)\/((-24)\/16 - -1).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/1)\/(4*(-1)\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 611482676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**3 - 2*t - 3. Let g(v) = -v + 12. What is the lowest common multiple of g(6) and q(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -651828*j**2 - 249470*j + 2?\nAnswer: -1303656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -19 times -180?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 5*i - 31. Suppose -i*k - k = 3*t - 11, 3*k - 4*t = 24. Solve -3 = -3*b - k*a, 5*b - 10 = -4*a - a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:16 PM and 7:27 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.11 (b) 0.09 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - -10) + 3 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -100 (base 2) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.14 + 0.04. Let u = -0.7 + 0.2. Which is the nearest to 2\/3? (a) u (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-24)*-12*(462\/12)\/11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 <= -0.00856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*r*x - 39885*r + 10978*x wrt x?\nAnswer: 2*r + 10978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 20186473009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 703 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -19\/3 - -29\/6. Let s = -5 - -5.4. Put s, b, -40 in descending order.\nAnswer: s, b, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 203 + -119. Calculate the greatest common divisor of 42 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -284301*o**3 + 2*o**2 - 4*o - 7. Let n be p(-1). Round n to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -h*o**3*w - 2*h*o**2 - 65*h*o*w + 74*o**3*w + o**3 + 20*o + 2*w wrt o.\nAnswer: -6*h*o*w - 4*h + 444*o*w + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*sqrt(76) + sqrt(76))\/sqrt(4) - (-3 + sqrt(95)\/sqrt(5) + 4).\nAnswer: -1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 9728*w - 33 - 9728*w - 34*w**2 in the form a*w**2 + v + c*w and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1214, -1145, -1076, -1007, -938?\n\"Answer: 69*j - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/2)\/(25\/(-42 + -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-30)\/(-21) - ((-431360)\/(-140))\/(-16). Solve 0 = 98*y - 2 - v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 4. Suppose 3*s = f*s. Is s at least -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7358189.\nAnswer: 7358189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-113*v**3 - 480*v**4 + 242*v**4 + 235*v**4)*(1 - 3 + 4).\nAnswer: -6*v**4 - 226*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6593311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 231 and 1113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 18*h**3 + 34*h**2 + 39*h - 48. Let y(q) = -5*q**3 - 11*q**2 - 13*q + 16. Let k(d) = 2*t(d) + 7*y(d). Determine k(8).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2275 divided by -4?\nAnswer: -2275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y + 4 = -7*y. What is the lowest common multiple of 28 and y + (-5)\/(20\/32) - -16?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 71616*p**5 + 29*p**4 - 4*p**2 + 119949*p + 2 wrt p.\nAnswer: 4296960*p**2 + 696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k - k**3 + 0*k + 2*k**3 + 0*k**3 + 0*k**3 + (k**3 - 2*k + 2*k)*(0 - 1 + 3))*(3*k**2 + 0 + 0).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*z - 4*y + 4, -5*z + 69*y + 71*y - 141*y = -7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 11010010101 (base 2) to base 5\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 87*k**3 + 42*k**2 - 12*k. Let c(t) = 35*t**3 + 17*t**2 - 5*t. Calculate -12*c(w) + 5*m(w).\nAnswer: 15*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -4*s**2 + 3*s**2 - 2*s**2 + 2*s**2. Let g(u) = -5*u. Give a(g(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000828389 to six decimal places.\nAnswer: 0.000828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -503872 > -503858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 5022 by -3.\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be 20 + 9\/(-1 + -2). Suppose 0 = -12*m + f + 19. Solve -4 = 5*k + 4*x, -2*k = m*k + 5*x + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p + 4. Let a(k) = 7*k - 8. Let w(o) = -o + 1. Let g(n) = -a(n) - 5*w(n). Determine -4*b(r) + 5*g(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 PM and 5:51 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3 and 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.24 + 2.76. Let t(r) = 6*r**2 + 7*r + 7. Let y be t(-1). Which is the second biggest value? (a) d (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o + o**2 + 0*o)*(336 + 473 - 291)*(-2*o + 3*o - 2*o).\nAnswer: -518*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -2*u**3 + 1. Let i be k(1). Let y(c) = 17*c**2 + c. Let p(n) = -n - 1. Let g(z) = p(z) + y(z). What are the prime factors of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.02215 and 2.4.\nAnswer: 2.42215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be (200\/12)\/(-10)*36\/(-20). Let l be ((-5)\/(-4))\/((-2)\/(-8)). Suppose -5*x = 4*w + w - 225, q*x - 227 = -l*w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 17\/(459\/(-178110))*6. What is w rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 661854 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 32*t + 350. Give b(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22264145, -22264147, -22264149?\nAnswer: -22264151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 17\/(68\/8)*6\/4. Solve 0 = 5*d + 7 + u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2 and 1.581855 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-8)\/14)\/(-1))\/(34\/238).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1427615\/129 + -11066. Let v = g + -5\/43. Is -20.6 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c. Let o be k(1). Let p(q) = o - 3*q + 7 + q. Is p(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-1*(-2)\/(-6)*2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 24\/7902*698458\/6 - 2. Let o = -3164\/9 + v. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3\/7 (b) 47164 (c) -1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -9150642*x**3 - 11355929610*x**2 + 21235984*x - 9928.\nAnswer: -2*(x + 1241)*(2139*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*(-72 + 2 - -2). Let x(v) = -3*v**2 - 7*v + 5. Let j be x(3). Let n = a + j. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 28*x**3 - 27*x**3 - 20*x**3 - x + x + x**3 + 2*x**3 + 1 - 1 + (-2*x**3 + x**3 - x**3)*(3 - 6 + 4) + 3*x**3 - 4*x**3 + 2*x**3 + x**3 + x**3 - 3*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-10)*(-3 + -2). Suppose -68 = -2*z + n + n, -4*z + 160 = g*n. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85*x + 1845 = 80*x. Let l = x - -523. What is the greatest common factor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 166189, 166191, 166195, 166201?\n\"Answer: r**2 - r + 166189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -576.2282 to one dp.\nAnswer: -576.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-14)\/10 + (-6)\/((-180)\/93282). What is the greatest common divisor of t and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the second derivative of f**4\/6 - 2*f**3\/3 + f**2 - 2*f. Suppose 98 = 3*x + 8. Let h be ((-6)\/10)\/((-6)\/x) + 0. What is j(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 11106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(22)\/sqrt(2))**2 + -3 + sqrt(11) + sqrt(11) + sqrt(33)\/(2*sqrt(3)).\nAnswer: 8 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1330 and 0.03907570277?\nAnswer: 1330.03907570277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -150 (base 12) to base 14\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2321 is divided by (73 - -65) + (18 - 1).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 AM and 5:46 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**2 - 93*a - 2155. Let y be r(-45). Let x be ((-3)\/5)\/(1\/(-5)). Let b be (16\/(-10) - 0)\/(28\/(-70)). Solve -2*i + 5 - x = -b*c, 0 = y*i - 25 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g = -3*o + o + 70, 21 - 12 = -3*o for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30) - (sqrt(30) - sqrt(90)\/sqrt(243)))\/sqrt(6)*-6.\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 12*h. Let v(x) be the first derivative of 1\/2*x**2 + 0*x + 2. What is j(v(b))?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 2*k**2 - 4*k - 9. Let u(l) = l - 15. Let y be u(13). Let h(f) = f**2 - 104 - 2*f + 54 + 46. Determine y*n(d) + 5*h(d).\nAnswer: d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -185 - -194. Let k(t) = 12*t + 108. What are the prime factors of k(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -7*o**2 - 2*o - 4. Let s be -5 - (3 + -5 - -1)*1. Let w(p) = 0 + p**2 + 3 - 2. Give s*w(f) - j(f).\nAnswer: 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4526682907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 3*j**3 + 20*j**2 - 3*j + 21. Let a(n) = -2*n**3 - 13*n**2 + 2*n - 14. Let g(k) = -8*a(k) - 5*d(k). Determine g(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -8458 + 8458 + 28*c. Let t(w) = -5*w**2. Determine t(b(j)).\nAnswer: -3920*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2376*a**2 + 4*a - 7. What are the prime factors of r(1)?\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-3)\/4)\/((-2)\/8). Let h(m) = -m**3 - 5*m**2 + m - 12. Let x be h(-6). Suppose u*c - x = 18. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 PM and 1:24 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 minus 3.34?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1b0 (base 14) to base 3\nAnswer: 110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41386603 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**34)**(-45) assuming m is positive.\nAnswer: m**(-1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8940 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 508*6\/15 + (-2)\/10?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -6928, -13860, -20792, -27724?\n\"Answer: -6932*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -160*u**4 + 7*u**3 + 1236*u**2. Let q(m) = 54*m**4 - 2*m**3 - 411*m**2. Let o(y) = 7*q(y) + 2*w(y). What is the third derivative of o(i) wrt i?\nAnswer: 1392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*m + 2*m + 25. Suppose 4*t + 3 = m*t. Let 0*v**3 + 4*v**t - 2*v - v + 3 - 3*v**2 - v**3 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 - 143*q**2 - 536*q - 15933. Calculate o(-140).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + 1241?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -8*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, u: 1, d: 3, x: 3, q: 1, l: 2}. Give prob of sequence hqu.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -23*f**2 - 3*f + 6. Let m(d) = 114*d**2 + 17*d - 32. What is 2*m(l) + 11*o(l)?\nAnswer: -25*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 42\/1*(-107)\/((-20865)\/260).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1671)\/(-1114))\/((-10)\/(-4))*1\/(-12)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 2*j - 8. Let i = -133 + 78. Let t = i + 61. Let k be y(t). Solve -4*s = -24 + k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**2 + 7*w + 12. Determine b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*h - 5*h + h + (-3*h - 1 + 1)*(4 + 0 - 1).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1827 divided by 261.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49418239*t**2 - 5*t**3 + 13*t**3 + 49418237*t**2 + 1.\nAnswer: 8*t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 5 = 3*m - 2*w, 5*w = 2*m + 21. What is the remainder when 35 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 (base 12) in base 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1112 + -780. Suppose 0 = -4*s - 3*i + n, -5*s + 4*i = -i - 380. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -16 - 16*m**2 + 816*m - 816*m wrt m?\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11895*t + 11887*t - 23752*t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -11*n**2 + 34*n - 256. Let z(o) = 2*o**2 - 6*o. What is -k(t) - 6*z(t)?\nAnswer: -t**2 + 2*t + 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (8 - (1 + -3 + 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*g = 189*g - 12*g - 7720 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:28 PM and 8:40 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 + 7*u + 3. Give y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -44.9 - -0.9. Let d = w - -37.3. Let r = 7.156 + d. Round r to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*o - 22 = 15*o. Let t be (-3829)\/35 - ((-85)\/25 - -4). Put 1, t, o in decreasing order.\nAnswer: 1, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddddddddddddddhddd. What is prob of sequence hd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-38)\/19*5)\/((-15)\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 5:50 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(0 + sqrt(931))*5)**2 + (sqrt(2736) + sqrt(2736) + -5 + (sqrt(2736)*1)**2)*4.\nAnswer: 96*sqrt(19) + 592799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that c**2 + 4969230*c + 29815344 = 0.\nAnswer: -4969224, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 8:37 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 3754196 by -938549.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11*j**3*n**2 + 26*j**2*n**3 + 96*j*n**3 + j*n wrt j?\nAnswer: -66*j*n**2 + 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 133 a factor of 206037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 23280.15 tonnes?\nAnswer: 23280150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 + 4. Let g = 0.63 + -0.13. Which is the second biggest value? (a) 5 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -102, -184, -260, -324, -370, -392?\n\"Answer: c**3 - 3*c**2 - 80*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -135 + 543\/4. Sort -5, s, -2, -0.8 in decreasing order.\nAnswer: s, -0.8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4212 is divided by 224.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 160 (b) -5\/14 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 - 6. Suppose y - n*l = 20, -2*y - 4*l = y - 3. Solve -y*q + 5*a = 30, 1 = 3*q + a + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -111001110011101000 (base 2) to base 6\nAnswer: -5024104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 151 * -29.08\nAnswer: -4391.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iizfiiz. Give prob of sequence iii.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjejqeeqjqeojoohjj. Give prob of sequence he.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 + -29. Let p be 4\/s + 2481\/4. Suppose 2*h - p = -2*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*h**6 + 2*h**5 + 14184*h**4 - 163*h**2 - 2*h + 1081.\nAnswer: 480*h**3 + 120*h**2 + 340416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.121 (b) -1 (c) 10 (d) 1\/3 (e) 0 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-6)\/15)\/((-1)\/25). Is 10 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -75054437 or -1?\nAnswer: -75054437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i + 1. Let l(x) = 5*x. Let k(o) = -11*o + 1. Let u(c) = -4*k(c) - 10*l(c). Determine 4*f(y) + u(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(612) + 1) + -5 + ((-1 + sqrt(612))*-3 + sqrt(612))*6)**2.\nAnswer: -1800*sqrt(17) + 61425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1320149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 15129, 15131, 15133, 15135?\n\"Answer: 2*f + 15127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -12480*v + 2408632. What is c(193)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -23*w**2 + 94*w - 281. Let j be r(3). Put -1, j, -3 in descending order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + 12 = -t, -370*o + 39 = -372*o + 11*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 53*j - 56*j + 6. Suppose -j*k = -3*n - 124, 0*k - 352 = -5*k - 3*n. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -0.13 (b) -4\/5 (c) -0.18193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2327060991 to the power of 1\/2, to the nearest integer?\nAnswer: 48240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -25 times -1061.3\nAnswer: 26532.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 153712 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-62)\/(-5) + (-2)\/5. Is 12 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -37*m - 1. Let g(n) = n. Calculate -4*g(c) - x(c).\nAnswer: 33*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 11*m + 5. Let t(p) = -10*p - 4. Let f(a) = -7*t(a) - 6*x(a). Let q be f(2). Which is smaller: q or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/5 + 78284*p - 3830240410.\nAnswer: -2*(p - 97855)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -6*(sqrt(68) - sqrt(17)).\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4156 + 6691. What are the prime factors of m?\nAnswer: 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15718.79 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -486659 + 244589 + 242069 + 2*n**2.\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 + 26*p**2 + 45*p + 92. Is r(20) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - -3debc4?\nAnswer: 3debbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sspnsjnpnsbj. Give prob of picking 2 n and 1 p.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2a03f (base 16) to base 12\nAnswer: 83713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 178 - -2?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(136)\/(sqrt(8)*-2) + (sqrt(17) - (sqrt(153)*-1)\/sqrt(9)) + (sqrt(510)\/(sqrt(30)\/sqrt(3)))\/(sqrt(21)\/(sqrt(28)\/sqrt(4))) + -3.\nAnswer: -3 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1339 + -1299. Calculate the remainder when r is divided by (-22)\/(-3) + 1\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*f - 61661 = 263086. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -98 + 105*f + 187*f - 68*f + 249*f. Is z(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 y when three letters picked without replacement from gfvayoyoyoyfyfgyovgf.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12285 - -861.5.\nAnswer: 13146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -71078335 - -3?\nAnswer: -71078332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17 + -7. Is 5*(36\/x + -2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 0*b**3 - 4*b - 4*b**2 + b**3 + 0*b. Let k be d(5). Suppose a = -n - a - k, -7 = -4*n + a. Calculate the highest common factor of n and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (23\/16353*-45)\/((-35)\/(-7))?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 20 - -27a60?\nAnswer: 27a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1.063 rounded to 2 dps?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 22 - ((-16 - -25) + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 1247 + 2*o - 11*o - 617 - 626. Let f(q) = 25*q + 1. Let y(w) = -5*w. Let g = -8 - -19. Let h(l) = g*y(l) + 2*f(l). What is 7*h(c) - 4*s(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*c + 1 - 93*c + 5 + 2 + 17*c.\nAnswer: -87*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -486055 (b) -4 (c) -0.154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 105, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.05 or 499?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23*y + 9*y + 11*y)*(8*y - 11*y - y)*(y**3 - 6*y**3 + 30*y**3).\nAnswer: 300*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 21\/4. Let r be -2 - ((-340)\/804 - 3). Let h = r - 6\/67. What is the third biggest value in -5, g, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5248689*n**3 - 3668664*n.\nAnswer: -31492134*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c**5 + 715*c**4 - 28785*c**3 + 53645*c**2 + 1561780*c + 3368640 = 0. Calculate c.\nAnswer: -176, -4, -3, 11, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(4\/19)*x)\/(x**(-7)\/x) assuming x is positive.\nAnswer: x**(194\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 193 - 248. Is -215\/4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 6) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h = -z + 25, 7712*z = 7714*z + 5*h + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 77098818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-188 - 273 - 447 - 129)*(w + 0*w - 4*w) to j*w + l and give j.\nAnswer: 3111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3119013 is divided by 178?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1662?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h + 8*h = 0. What is the first derivative of 1 - 10 - 10 + h*o**2 - 9*o**2 wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-716)\/(-8) - -2)\/((-3)\/(-4)). Let v = g + -19. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1837 - 1848. Sort u, 3, -4.\nAnswer: u, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at least -46326\/76289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -274653, -274655, -274659, -274665, -274673?\nAnswer: -274683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -4*n**2 - 5*n + 5. Let l be (-15)\/9 + 2\/(-6). Let b(h) be the third derivative of h**5\/30 + h**4\/12 - h**3\/3 - 8*h**2. Calculate l*i(t) - 5*b(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10007676*m**2 + 67*m + 4667 wrt m?\nAnswer: 20015352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -166801 - -166800.8881269. Let b = j + 0.231876. Let y = b - 0.12. Round y to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * 129\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 56 - 52. Let i(d) = 2*d - 6. Let q be i(v). Suppose -100*j + 60*j**2 - 20*j**4 - 40 - 24*j**3 - 15*j**5 + 93*j**3 + 30*j**q + 16*j**3 = 0. What is j?\nAnswer: -2, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6436096.43 rounded to the nearest 100000?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -9181.\nAnswer: 1\/9181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**4\/13 - 118*x**3\/13 - 163096*x**2\/13 - 20974080*x\/13 - 784687104\/13 = 0. What is x?\nAnswer: -116, -96, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + v = -0*v - 16, 3*v - 6 = 0. Let a = 0 + 0. Let i = 6 + -2. Solve -j - i*k = -6, 2*j - d = -a*k - 5*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-2\/31)*f**(-2) assuming f is positive.\nAnswer: f**(-64\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = -2*f - 4*i, f + 2*i + i + 14 = 0. Let c be -1 + 3 + (-81 - 1). Let u be (-1 + f)*1 - c. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 + p**2 + 2. Suppose 4*d + 4 = -3*f + 2*f, 3*d - f - 4 = 0. Let j be y(d). Solve -n - 5 = -j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 PM and 8:40 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -2\/7, 2\/13, -1, -4\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -i*j + 307027*i + 138139*j wrt i.\nAnswer: -j + 307027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*t**2 + 94*t - 94*t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 2\/7, 84, 0.3, 1\/29?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1978676, 1978677, 1978680, 1978685?\n\"Answer: h**2 - 2*h + 1978677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 9.4 + 910.\nAnswer: 919.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 31 (b) -27255 (c) 7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.29 - -0.01. Let y = z - 0.4. Let o be (10\/6)\/(17018\/18492 + 2\/(-23)). Is o less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 13 = 5*a, -5*l = -6110*a + 6115*a + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/u**(-14))\/(u\/(u\/u**(3\/16)))*(u\/(u**5*u))\/(u**(-1\/4)\/u) assuming u is positive.\nAnswer: u**(193\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15901364 is divided by 70050.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, m: 3, u: 1, y: 1, l: 1}. Give prob of picking 1 y and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*c = -6*c + 96. Let k be 11 - (1 - 2)*-1. Suppose -z - 5 = -2*u, 5 + k = c*u + 3*z. Solve u*l + 4 = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 13013 (base 4) to base 13\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4433 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from gguxxgxuxuugyyyuxgyy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 482.1082 weeks?\nAnswer: 291579039360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 5726290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 506076 is divided by 78.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 x when three letters picked without replacement from {o: 2, d: 3, c: 1, k: 2, j: 1, x: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6469 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(3*5*6*(3 + (sqrt(7) - (sqrt(7) + -1))) + -2)**2.\nAnswer: -256328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2617655632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -194*n**2 + 193*n**2 - 6*n + 6*n. Suppose 2*i - 3 - 11 = -4*d, 4*d = -3*i + 25. Let l = 13 - i. Let z(w) = 6*w**2. What is l*z(p) + 15*a(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*w - 19*w - 267393 = -w. What are the prime factors of w?\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5585690 by 17.\nAnswer: 328570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9543.5 + -9544. What is the second biggest value in 0.3, 5, -1, -0.2, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30.62312 plus -2155?\nAnswer: -2185.62312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 140 + 143 + 139 - 422 - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 522*k**4 + 17909*k**3 - 55515368*k**2 + 2*k wrt k.\nAnswer: 12528*k + 107454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the first derivative of -r**6\/6 + 2*r**5\/5 - r**4\/4 + 13. Factor t(z).\nAnswer: -z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 7) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -7. Suppose 7 = -i + q*i. What is the remainder when 11 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2 + 15*d - 10. Let s be k(-5). Is s at least as big as -117\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -6*y**2 - 4*y - 4. Let q(u) = u**2 + u + 1. Let t(w) = -4*q(w) - r(w). Let i(m) = -10*m + 5*m - 2*m + 6*m. Give t(i(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve k = -2*k + 2*s - 5, 0 = -2*k + 2*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 17930 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/113711 less than or equal to -229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -535 + 517 - (0 + 7 + -123)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32405 - -49930. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 311*p**2 - 2*p - 1. Let n be c(-1). Suppose -i = -4*g + n, -2*g + 2*i = 3*i - 156. What is the greatest common factor of 26 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 124321 and 310199?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 + 524*g + 454*g - 1056*g)*(-3*g + 3*g + 2*g) + 8*g**2 + 12*g - 12*g to the form q + n*g**2 + j*g and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -35d (base 14) in base 13?\nAnswer: -3c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.07, -59, 0.4 in decreasing order.\nAnswer: 0.4, 0.07, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*l - 19\/2 + 1\/2*l**2.\nAnswer: (l - 1)*(l + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1645*c - 1648*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes after 6:20 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 21 = 5*u. Let q(v) = 21*v - 22. What is the tens digit of q(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20 - 19.42. Let c = -0.08 + v. Put -2\/5, 3\/5, c, -11 in descending order.\nAnswer: 3\/5, c, -2\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115302119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 407767252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w**2. Let f(t) = -2*t - 10. Let h(x) = -x - 1. Let j(r) = -f(r) + h(r). Give j(k(a)).\nAnswer: -2*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the first derivative of 2*t**3\/3 + t**2\/2 + 6. Find the second derivative of m(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-22)\/(-11)*(-2)\/(-6). Let t(a) be the first derivative of u*a**3 + 0*a**2 + 2 - 2*a. Differentiate t(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the first derivative of q**4\/4 - 10*q**3\/3 + 6*q - 13. Let p be d(10). Suppose 5*a + n - 8 - p = 0, 5 = a - 2*n. Is 8 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 132, 137, 142, 147, 152?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 1:03 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4106 and (-888)\/(-60) - 14 - 6*(-6)\/5.\nAnswer: 16424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -161*o - 18168 = 596*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3179*n = -3193*n - 546 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g - d + 5*d - 12, -2*g + d - 3 = 0. Suppose -w - 1 = -g, 3*i - 32 = -w. Solve v + 4*v = 15, i = -o + 3*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1365 = 7*k - 882. Calculate the highest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -335.9999817 + 336. What is s rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-14)*((-1645)\/105)\/(-47)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 426796*a**4 - 59*a**2 + 53*a + 4 wrt a.\nAnswer: 10243104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1420, -2843, -4264, -5683, -7100, -8515, -9928?\nAnswer: -11339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n. Let c(u) = -2*u + 14. Let t(r) = -23*r - 5 + 9*r + 15*r - 7. Let s(k) = -6*c(k) - 7*t(k). Calculate s(g(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 236, 18462, 48838, 91364, 146040?\n\"Answer: 6075*p**2 + p - 5840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2242 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 + 2*u + 2. Let v = 3 - 5. Let y be (7\/v)\/((-3)\/18). Let c(d) = -3*d**3 - 7*d - 7. Let j be (-16)\/(-20) - (-26)\/5. What is j*c(x) + y*s(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirty-seven halves of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of -4*c**6\/15 + 11*c**2\/2 + 10*c - 6. Let f(i) be the first derivative of r(i). What is the derivative of f(o) wrt o?\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, f: 4}. What is prob of picking 1 u and 1 f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 4*q**3 + q + 1. Let a be w(-1). Let m = 12 + a. Let i = -18217 - -18223. What is the lowest common multiple of i and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of 2*p - 1\/120*p**5 + 0 + 0*p**3 + 0*p**4 - p**2. Let i(k) be the first derivative of s(k). Factor i(a).\nAnswer: -a**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vp when two letters picked without replacement from spvivpipp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*f - 8. Let v be 1*((f - 0) + 2). Solve 4*h + 5*u = -11, v*u = -4*h - 2 - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11386118.\nAnswer: 2, 617, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 48690*c - 7. What is p(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 46*x**3 + 9*x**2 - 5*x + 15. Is a(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -4*i - 27 + 7, -i = -4*f - 13. Put 4, f, -9, 3 in ascending order.\nAnswer: -9, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, h: 5, q: 4}. What is prob of picking 2 h, 1 d, and 1 q?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -5*o. Let j(p) = 8*p**2 + 35. Determine j(z(b)).\nAnswer: 200*b**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**3 - 3*h**2 - 3*h - 8. Let d be t(-7). Is 213 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 + 4. Let c = 10 + z. Solve -t + c = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -8 and (-40*25\/(-300))\/((-5968)\/(-39))?\nAnswer: 2984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*p**3*u**3 - 4*p**3*u**2 + 119*p**2*u**3 + 17672*p**2*u**2 - 6*u**3 wrt u.\nAnswer: -48*p**3 + 714*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14140 and 9560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3 or -852609?\nAnswer: -852609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 8, -2*n = -4*n + 5*g - 20. Suppose -7*o + 2*o + 25 = n. Differentiate -3 + h**3 + 0*h**3 - o*h**3 with respect to h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/6)\/1*(-30)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -8*x**3 + 2*x**2 + 27*x - 30. Let i be t(1). Let a(m) = -2 + 1 - m**2 - 10*m + 9*m**2 + m**3. What is a(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1398823423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11042495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (1635 + 1276 - 2578)*(x + 0*x - 2*x) - x + 5*x - 3*x.\nAnswer: -332*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * -522.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 957 (base 13) to base 12.\nAnswer: b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add -0.15 and 0.017.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -494 - -974. Suppose 0 = -i - 5*z + 653, 4*i - 3*z - x - 2040 = 0. What are the prime factors of i?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*n**3 - 17*n**3 - 11*n**3)*(4*n**2 + n**2 - 6*n**2) + 0*n**5 - 4*n**5 + 3*n**5.\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 30 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 20826\/(-507)*13*(-11)\/66\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 2 - 3)*(-2*r + 3*r - 3*r) - 1 - 2*r + 1 - r + 5*r - 3*r - r + 2*r + 2*r - 839*r + 2 - 888*r + 1849*r.\nAnswer: 120*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -47 + 7. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7200) + 4 + -1 + sqrt(7200) + sqrt(7200))**2 - (2 + -1 + sqrt(7200))**2) + -4.\nAnswer: 960*sqrt(2) + 57604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1304207 is divided by 5393?\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 7*o**2 - 13*o. Let j(g) = -2*g - 103. What is j(z(b))?\nAnswer: -14*b**2 + 26*b - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 90488947 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 4408234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 3*c - 12, 5*c + 0 = 2*n + 14. Sort -5, -8, n, 1 in increasing order.\nAnswer: -8, -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 69903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 403 - 402. Sort n, -9, -2\/9, 3 in ascending order.\nAnswer: -9, -2\/9, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 PM and 12:15 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 16877533, 33755065, 50632597?\n\"Answer: 16877532*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pu when two letters picked without replacement from {f: 2, p: 7, u: 1}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 346*s**3 - 6*s**3 + 253*s**3 - 126*s**3.\nAnswer: 467*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-82)\/(-56) + (-10)\/(-35). Is 0 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 54\/36*500\/6. Let q = l + -210. Let w = q - -88. Put w, -3, -9 in decreasing order.\nAnswer: w, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 4*v + 18 = 0, -3*v = 12 - 0. Let w(p) = 58*p + 2. Let s be w(d). Let m = s - 58. Solve 5*y = r - 19, 0 = -3*r - m*y - 2*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*t - 2*t - 5*t = 351 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -10) + (23 - 4) + -11 - 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*t**3 - 387*t**2 + 387*t**2 + (7*t - 7*t - 4*t**2)*(0 - 1 - 2*t + 3).\nAnswer: 19*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.005876574 rounded to 5 dps?\nAnswer: -0.00588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 21*g**2 + 2*g**2 - 2*g**2 + 7*g**3 - 23*g**2 + g**2 - 21*g in the form t + y*g + s*g**3 + x*g**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-44)\/60 - (-6)\/10. Let v = 49\/30 + h. Solve -3\/2*c**2 + 0 + v*c = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - 28\/(-42)*48 - 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 549*l**3 + 1500*l wrt l?\nAnswer: 3294*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:38 PM and 10:44 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 - 556043102?\nAnswer: -556043106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -237971, -237973, -237975, -237977, -237979?\n\"Answer: -2*u - 237969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19517 = v - n, 5738 + 52799 = 3*v + 4*n. Let k = v - 10204. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11001101100 - 1101110100111?\nAnswer: -10001000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.025539 less than 3731365?\nAnswer: 3731365.025539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(2\/(-21))*3305\/1983.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be -15 - (0 - 0 - 2). Let h(p) = -2*p**2 - p - 11. Let x(n) = -n**2 - 5. Let q(d) = a*x(d) + 6*h(d). Is q(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10138, 19981, 29834, 39703, 49594?\nAnswer: 59513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 1799*k + 12 = 1805*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 15*h**3 + 3*h**2 - 14*h - 76. Let i(w) = 7*w**3 + w**2 - 6*w - 37. Let j(p) = -13*i(p) + 6*u(p). What is j(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes before 4:21 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -60*l + 333. Let k(f) = 61*f - 1. Calculate c(p) + k(p).\nAnswer: p + 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 10\/4*(-7 - -3 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -157*x - 175*x = -305*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -132, -266, -400, -534?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 + 10*j + 1. Let x be q(-10). Let n be -9*(0 - 3\/9). Suppose n*k = 3*w + 3, -2*w + 4*k - 7 + 3 = 0. Solve -g = b - w - 3, -5*g - x = b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -29, 3, -96?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1456 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 890 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(228)\/sqrt(48) - ((sqrt(76))**2 + sqrt(19))*-2.\nAnswer: 5*sqrt(19)\/2 + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 96 and 2659?\nAnswer: 255264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3\/36)\/((-225)\/(-45)). Let i(n) be the third derivative of 13*n**2 - 1\/3*n**4 - r*n**5 + 0 + 0*n + n**3. Determine i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6170075 (base 8) in base 15?\nAnswer: 2243ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -1\/8 (b) 108 (c) 4 (d) -1\/2 (e) -353\/3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-164)\/((0 + -1)\/((-4)\/(-8))). Suppose -3*p = -22 + d. List the prime factors of p\/(-35) + 318\/7.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 2.9.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -5*t - 20, -5*h - 4*t = 5. Suppose -2*f = h*f - 10. What is the remainder when 2 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -269 = -7*m - 262. Suppose -10*z + m + 29 = 0. Factor -1\/2*v**2 + 0*v + 0 + 1\/2*v**z.\nAnswer: v**2*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {h: 6, l: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 14885762 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/2, 2\/131, 10.2?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 284 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-5 + (sqrt(66)\/(sqrt(24)\/sqrt(4)) - (sqrt(88)\/sqrt(72))**2)).\nAnswer: -224\/9 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -6*m. Let o = -8 - -13. Suppose -o*k = -2*n - 37, k + m = -3*n + 4. Calculate the lowest common multiple of k and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 11, 28, 43, 56, 67, 76, 83?\n\"Answer: -p**2 + 20*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 719, 3032, 6989, 12674, 20171, 29564?\nAnswer: 40937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - (3 + -3)) + -11 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - -4.083388?\nAnswer: -4.916612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.4434 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2676.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -560*h + 722 - 161 = -654 + 95 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15.462 + -16.462. What is the second biggest value in i, -4, -1983?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -452\/15 + 30. Which is the nearest to -1? (a) t (b) 0 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1080 = -49*t + 127*t - 56*t - 40*t for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1\/7, -1.02, 3\/8, -3, 0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-117 + 78 - 68)*(-1 + 1 - 2)*(-3*v**2 + v**2 + 3*v**2) + 1 + 1 - 3 + v**2 as y*v**2 + i*v + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 2*i = -k + 2, 5*k = -5*i + 10. Let q(p) = 16 + 19*p - p**k - 33*p + 20*p. Let o be q(8). Is o smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3850 a factor of 1452762850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 33 - -43. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -5 + 0*k + 4*k**2 + k + 3. Let y(w) = -w**3 + 3*w**2 + 4*w - 2. Let t be y(4). List the prime factors of s(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 + -15. Suppose -59 = -3*h - f + 2*f, -n*h + 2*f = -55. Suppose l - h = -v, 4*v + 25 - 125 = 4*l. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1232228026 to the power of 1\/3, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 24*l**2 + 279*l + 1116. Give t(-5).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1530 and -56736.921?\nAnswer: 55206.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 202*n + 14. Let h(o) = 40*o + 3. Give 14*h(c) - 3*p(c).\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (-4 - 8) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 367141 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 37.9466 days in nanoseconds?\nAnswer: 3278586240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = 2*s - 17 + 3, 5*o + 31 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -58*q**2 - q - 1. Let c be x(-1). Let h = 69 + c. What are the prime factors of ((-30)\/5)\/(20\/h - 2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 5*l - 1. Let f be u(-1). Let z = -2 - f. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 31*r**2 - 3969*r + 160. What is z(128)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1434, -40 in decreasing order.\nAnswer: -3, -40, -1434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -21*h**2 - 130*h + 3. Let w(x) = 16*x**2 + 99*x - 2. Let o(v) = 4*w(v) + 3*y(v). Let g be (-1)\/(1\/(-17)) - 1. Let m = 10 - g. Give o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p**5 + 5504*p**4 + 2424004*p**3 + 326660024*p**2 - 3868484096*p + 3539394560 = 0 for p.\nAnswer: -544, -299, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 AM and 12:22 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 3)*(2*h + 8*h - 4*h)*(3 - 4 - 11)*(h - 2*h + 2*h).\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*(i**(-41)*i*i*i)\/i*i)\/i*i\/i**48 assuming i is positive.\nAnswer: i**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-8)\/(a\/(a\/a**(-2\/13)*a)))**(1\/32) assuming a is positive.\nAnswer: a**(-89\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -53 = -21*g + 31 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of d**5\/10 - 5*d**4\/24 + d**3 - 33*d**2. Is c(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a factor of 2614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 + 22*p + 7. Let o(l) = 3 + 0 - 15*l - 1 - 10 - l**2 + 3. Give -7*o(q) - 5*u(q).\nAnswer: 2*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 11 = -11. Find the common denominator of ((-131)\/6)\/(9*(-5)\/15) and 1 - ((-123)\/66 - x).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**2 - 310*w + 28032 = 0.\nAnswer: -219, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be -7*80\/(-112)*(-54)\/(-5). What is the common denominator of 1197\/x + 1\/3 and -35\/34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 - -20*(-13 + (-12 - -26)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the second derivative of 3*a**3\/2 + a. Suppose -y = -v, -3*y - 2*v + 3 = -2. Let b be t(y). Calculate the greatest common divisor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*y + 47736 = -10*y + 4*d, 4*d + 28680 = 3*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the first derivative of b**4\/4 + 7*b**3\/3 + 7*b**2\/2 + 6*b + 3. Let r = 535 + -541. Calculate n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes before 8:21 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 970812252 and 2556.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.2 + 1.65. Let r = 3 - 3.05. Let g = r + n. Which is the third smallest value? (a) -1 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2113402*d*z - 1186577*z wrt d.\nAnswer: -2113402*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -145 + 1531110?\nAnswer: 1530521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 193 + -5403\/28. Find the common denominator of y and -43\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the second derivative of a**4\/3 + a**3\/2 + 3*a**2\/2 - 6*a + 1. Let x(w) = 5*w**2 + 2*w + 2. Determine 2*g(q) - 3*x(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -339*o + 7*o**2 + 177*o + 1033 - 8*o**2 + 9*o**2 wrt o.\nAnswer: 16*o - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 5*a**2 - 90*a + 6. Give b(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3139, 6248, 9375, 12532, 15731?\nAnswer: 18984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13909405758*t - 27818811528*t + 13909405766*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1751 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -39402 divided by -21?\nAnswer: 13134\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1869293 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 156472165 to the power of 1\/2, to the nearest integer?\nAnswer: 12509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-34)\/(-1428)*-7*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5725 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 18817289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the third derivative of i**4\/3 + 55*i**3\/6 + 6*i**2 - 7*i. Let u be o(-7). What is the lowest common multiple of (-324)\/(-16) + u\/4 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -88*b**4*h**2 + 203*b**4*h - b**3 - 919*b**2*h**2 - 4*b**2 + 4*b*h**2 + 2*h wrt b.\nAnswer: -2112*b*h**2 + 4872*b*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.627705 milligrams to nanograms.\nAnswer: 627705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -56307*w**3 + 2789868*w**2 - 39461760*w + 116812800.\nAnswer: -3*(w - 4)*(137*w - 3120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -2*g**3 + 72*g**2 - 67*g - 58. Calculate the remainder when r(35) is divided by 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00002190234783 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -85 + 14. Let y = a + 63. Is ((-3)\/2)\/((-6)\/y) + 29 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 94*j + 3267 = 105*j. Suppose 2*o - 3*p + 441 = 5*o, 2*o + p - j = 0. Calculate the remainder when o is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -5*m + 4. Suppose 0 = 3*z - m - 4. Suppose s = -z*p + 63, 0*p + 59 = s + p. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k - 10. Let o be w(4). Let z be (-24)\/5 + 1\/(-5). Let h(i) = -i - 4. Let n(l) = l + 3. Give o*n(f) + z*h(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (93 - 82)\/(((-4)\/(-30))\/((-2)\/3))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 14*10\/15*1*(-15)\/(-21)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -78600 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y + 6*y + 3*y - 9*y. Let s(o) = -14*o**2 - 6*o - 18. Suppose 33 = -3*m + 18. Let w(t) = m*i(t) + s(t). What is the first derivative of w(k) wrt k?\nAnswer: -28*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*t + 4*s + 12, -38*t + 3*s + 9 = -40*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0079448 to five dps.\nAnswer: 0.00794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/3*a**3 + 0 - 4\/9*a**4 - 4\/9*a - 4\/3*a**2.\nAnswer: -4*a*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40, -66, -122, -214, -348, -530, -766?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 46915 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1649 - 422. Let g = d + 930. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 392 is divided by 191.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 108 - 106. Let c = -63 - -61. Let i(n) = -n**3 - n**2 + n - 1. Let t be i(c). Solve t = -h*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -715*j + 206*j + 32*j**3 + 246*j + 263*j + 125*j**3 - 38*j**3.\nAnswer: 119*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -31*c + 37*c + 66 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*z - 37*z. Factor z - 9\/2*x**2 - 2*x.\nAnswer: -x*(9*x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01529005372 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6*3\/18*-4. Let x(o) = -o**2 + 7*o + 3 - o**2 + 3*o**2. Let b be x(-6). Is k smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -17*o + 4. Let h be f(-2). Let a = 51 + h. Suppose z - a = 2. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 + 1)*1\/(-3). Let d = -30 + 27. Let v be 12\/(-6)*9\/d. Solve 2*g + 0 - v = i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -188557*a + 0 + 0 + 188560*a. Let v(d) = 32*d**2. What is f(v(n))?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 231757732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 11:06 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 115*x**3 - 9*x**2 + 117*x - 35. Let j(c) = -29*c**3 + 2*c**2 - 26*c + 9. Calculate -4*d(q) - 18*j(q).\nAnswer: 62*q**3 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 12004 (base 6) to base 4\nAnswer: 123010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 3\/2, -5, 1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/w**(1\/4))**(9\/2)*w**(-8\/7)*(w\/(w\/w**(-1\/2)))\/w)\/((w*w*w**2)**(2\/7)\/((w*w*w**0\/w*w)\/w)**(1\/16)) assuming w is positive.\nAnswer: w**(-39\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be -4 - 7050\/(-865) - 4. Let s = -11357\/1557 - c. Calculate the common denominator of 117\/10 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 524 and 49.\nAnswer: 25676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 383*w - 25 = 378*w. Suppose -2*v + 60 = -4*l, -81 = -v - 3*v - w*l. Calculate the smallest common multiple of 64 and v.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4040952 by 274.\nAnswer: 14748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 92218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2304*c**2 - 1734*c**2 - 1555*c**2 - 324 with respect to c.\nAnswer: -1970*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/2990 and -57\/1495.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -76 + 79. Suppose -4*l = -5*j + k*j - 212, -5*j = -20. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + 150?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, b: 16}. Give prob of picking 3 b and 1 d.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**1)**(-2\/17)*((m\/(m\/m**(-1\/2)))\/m)**14*(((m**4\/m)\/m)\/(m**(-2\/13)\/m*m))**(-2) assuming m is positive.\nAnswer: m**(-5619\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + 2*c + 3*c)*((-15*c**4 + 18*c**4 + 6*c**4)*(-4 + 2 + 0) + 0*c**4 + 0*c**4 + c**4 + (-5*c**4 + 3*c**4 + c**4)*(-2 + 1 - 1)).\nAnswer: -30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*x + 268*x = -14434 + 5374 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.0248 times -141106\nAnswer: 3499.4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*d + 82*d + 23 - 20 - 39*d + 8070*d**2.\nAnswer: 8070*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -25 (b) 2 (c) 7 (d) -13797\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -l - 2. Let c(a) = -27*a**2 - l*a - 7 + 9*a**2 + 17*a**2 + 11*a. Give c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2613 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4302 + (32\/4 - 5). Suppose 7*w - 48*w = -o. Calculate the remainder when 116 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 - (6 + -13 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2 + (-11 - -8 - 6) - (367 - 269)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 11:38 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 + 3*f - 5*f - 3 + (3 - 4 - 1)*(2 - 2 + 2*f) - 1 - 2*f + 1 - 27*f + 36*f + 57*f - 2*f + 2*f + f.\nAnswer: 59*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -92*f**2*i**3*y + 3*f**2*i*y - 4233*f**2*r*y - 76*f*i**3*r + 17*f*r*y - 24*i**3*r*y + 2*i**3*r - 2*i**3 + i*r wrt f?\nAnswer: -184*i**3*y + 6*i*y - 8466*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 5 = 2. What is the closest to -0.3 in -5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, -120, -3.\nAnswer: -120, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110 + -1011100110101?\nAnswer: -1011100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 34 + -30. Suppose 11 + 9 = 2*p + 3*m, 3*p - 4*m + a = 0. Suppose -3 = -5*q + p*q. Solve -4*k + r = 2, q*k + r - 1 = 3*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 11 - (8 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - 4*h + 351359, -3*h = 2*s + h - 140546. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 544 = 4*g, -3*x + 2*x + 396 = 3*g. Suppose 2*q - g - 107 = 0. Let h = 303 - q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 3*h**2 - 4*h + 6. Let a(i) = -4*i**2 + 5*i - 7. Let d = 255 - 260. Give d*a(b) - 6*j(b).\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-7)*39\/78*(-42)\/15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 55937587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -45.3020497 rounded to two dps?\nAnswer: -45.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 4, -14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 + (-2457)\/465 + (-4)\/(-5). Let j = u - 219\/124. Which is the nearest to 0.3? (a) 4 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 + 12. Suppose 0 = 5*b - 4*d + 65, -5*b + b - 16 = 4*d. Let i = o + b. Solve 5*s + 6 + 19 = i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 585 - 940. Let y = t + 358. Let w be 2\/4*(0 + 2). Sort w, y, -4\/5 in decreasing order.\nAnswer: y, w, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (1905\/4953)\/((5\/5)\/2)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -3, 0.1, -0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 3)*(-3 + 2*m + 3)*(2 + 21 - 6).\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-14)\/(-24))\/((-65)\/39) and 0\/3 - (-765)\/(-432)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the second derivative of -d**4\/24 + 2*d**3\/3 + 5*d**2\/2 + 2*d. Let f(u) be the first derivative of q(u). Calculate f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -63*f**3 + 12597*f*y + 52*y + 651709 wrt f.\nAnswer: -189*f**2 + 12597*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53249 = -664*n + 66355 + 83174. Suppose 0*f + 2*f - 116 = 0. What is the greatest common factor of f and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 225211612 equal to 225211613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3903539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 1042*i - 8. Let x be t(2). Suppose -b = -4*b + x. Suppose -4*l + b = a, 4*l - 3*a = -2*a + 684. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -682, -1359, -2036, -2713, -3390, -4067?\nAnswer: -4744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 3:35 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/744 and -25\/354578.\nAnswer: 4254936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ip when two letters picked without replacement from iaaap?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 739 - 6311*y**2 + 775 - 1512 + 6375*y wrt y.\nAnswer: -12622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 110 and 4015.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2\/11, -2, -3.\nAnswer: -3, -2, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000022616048 to seven decimal places.\nAnswer: 0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 4:05 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -2 - 3. Let r(f) = 6*f**3 - f**2 - 3*f - 5. Let p(w) = w**3 - w - 1. What is b*p(l) - r(l)?\nAnswer: -l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be (7 - (-12)\/16) + (-6)\/8. Suppose l = d - l - k, 2*d = -3*l + 7. What is the third derivative of -17*y**2 + 206*y**5 - 430*y**5 + 196*y**d wrt y?\nAnswer: -1680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*p + 93 - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of c**9\/42 - 7*c**5\/60 - 17*c**2. Find the third derivative of g(m) wrt m.\nAnswer: 1440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the first derivative of c**3 + 3*c**2\/2 + 7. Find the second derivative of t(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/61 in -3\/1147, -1\/8, 0, -0.3, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 22, 0.1, 0, -2 in decreasing order.\nAnswer: 22, 0.4, 0.1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -136954, -136955, -136956, -136957, -136958?\n\"Answer: -p - 136953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -8*g**2 + g + 1. Let k be p(-1). Let c be ((-9)\/(-6))\/((-4)\/k). Suppose -v - v = c*t - 7, 2*v + 8 = 0. Solve -11 = t*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1252 and 4534118.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is e7 (base 15) in base 10?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2779718 and 13448.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 4*v - 23 = 0, 3*v - 4 = -d + 12. Let s be -6*3\/(-171) - (-1765)\/d. Let h(l) = -l + 92. Let k be h(0). Is k smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41322197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 121*b**4\/5 + 8334887*b**3\/5 + 69703616*b**2\/5 + 29147900*b = 0. What is b?\nAnswer: -68875, -46\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**2 - 3*f - 1. Let n be m(-2). Let b = 7 - 4. Suppose -b*w = -2*w - n. Let p(x) = -7*x. Calculate p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + -4 + (-17 + 9 - -9) + 18\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 266752 and 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1565.8 - 1566. Sort -1, o, 61, -5 in descending order.\nAnswer: 61, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-3)\/(t*((t\/(t*t\/t**(-2\/5)*t))\/t)\/t))\/(t**(3\/7)*((((t**(1\/3)*t)\/t)\/t)\/t)\/t*t) assuming t is positive.\nAnswer: t**(172\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -16, -4, -1.\nAnswer: -16, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - -5. Is 1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*j + 8. Let w(u) = -u**2 - 16*u + 59. Let a be w(-19). Suppose -a*p = -p - j*p. Which is smaller: p or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 5*i + 12. Calculate the least common multiple of i\/8 - (-130)\/8 and (-30)\/10 + 4 - -27.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 297*r = 247*r - 1250 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -10*w - 8. Let h(z) = -8*z - 11. What is 4*h(c) - 3*s(c)?\nAnswer: -2*c - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 146 is divided by 56.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 38, 81, 144, 221, 306, 393?\n\"Answer: -q**3 + 16*q**2 + 2*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-26)\/(-3))\/(6\/9). Let q be 129\/(-2451) - (-1)\/19. Suppose q = -5*d + 2*i + y, -i = 4*d - 0*i - 13. Solve -2*g - 10 = d*o, -8 = 5*o - g - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1379 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -57*y - 850. Let i be g(-15). Put 11, 2, i, 4 in increasing order.\nAnswer: 2, 4, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(76)\/sqrt(4))**2*3 - -2*sqrt(19)*-2) + (2*sqrt(114))\/sqrt(6) + -4 + sqrt(684).\nAnswer: -232 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1553, 1550, 1547?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*x + 56. Suppose -u + 3*h = 4 + 3, x = u + 4*h. Suppose 5*t + 2*s + s - 32 = 0, 5*s - 12 = 2*t. Solve -u = -2*j + t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 + m**2 - m. Let f(c) = -3*c**3 + 10*c**2 - 2*c + 7. Let j = 3 - 2. Let t(g) = j*f(g) - 4*s(g). What is t(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -201, -794, -1389, -1986, -2585, -3186?\n\"Answer: -s**2 - 590*s + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/((-8)\/(-3))*(93 + -81). Let i(p) = -5*p**2 - 5*p + 6. Let c(s) = 11*s**2 + 11*s - 13. Determine q*i(f) + 4*c(f).\nAnswer: -f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p**2 - 102 + 19 - 21.\nAnswer: -2*p**2 - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/199436 and -139\/2628.\nAnswer: 1794924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 312165 and 11892?\nAnswer: 1248660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 9) + 6 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -9353, 6910, 23173, 39436?\n\"Answer: 16263*u - 25616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -x + 1, 5*x - y = -4*y - 30. Let n be (12\/9)\/(2\/x). Let c = 4 - n. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/(a\/(a*a**(1\/9)\/a*a*a))*a*a**(-8)*a\/(a\/(a\/a**2*a)*a)*(a\/(a\/(a**6*a))*a)\/a assuming a is positive.\nAnswer: a**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2 - 5*b + b**2 + 2 - 3*b + 1. Let r be c(7). Is 1 + r - (0 + -36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes after 10:41 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 115149*t - 575729. Calculate c(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a2 + 1a5?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -7*n - 24 - 1, 0 = n - 3*s - 15. Which is the closest to 7? (a) 3 (b) n (c) 1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 7, -138, -381, -728, -1185, -1758, -2453?\n\"Answer: -r**3 - 43*r**2 - 9*r + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/2, -3, -3\/2, -0.3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 3*k - g, 3*k + 0*g - 13 = -2*g. Suppose -2*q + 3*v - 2 = 2*v, q = -k*v - 1. Let z(c) be the first derivative of c**3\/3 + 6. Calculate z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6 + 6 - 4*r**4 + (-3*r - r + 2*r)*(2*r**3 + 2 - 2) + r**4 - 4*r**4 + 2*r**4 - 3 - 20*r**4 + 3 + r**4 - 2*r**4 + 0*r**4 + 4*r**3 + 2*r**4 - 4*r**3.\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-140)\/(-15))\/7*(-18)\/(-4). Let o(z) = 7*z + 1. What are the prime factors of o(h)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -5*s - 3*l - 4, 4*l + 8 = -4*s. Let g be -2 + 57 + 1\/1. Suppose -5*q - 6 = 5*z - g, -z - 2*q + 14 = s. Solve -15 = z*h - 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 71914497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.9*-8.5\nAnswer: 7.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4134203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vxvvvvvvvvx. Give prob of picking 1 x and 2 v.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1279460 divided by 4\nAnswer: 319865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 1040598\/378 - 14\/(-147)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-55))\/(632\/(-6952)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3658205861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -20, 8, 53.72?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 446.9999027 - 447. What is i rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1458*a**2 + 308251 - 308251 + 1455*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 330*(-154)\/154*(-6)\/(-18).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 78*c**2 + 6*c**2 + 55*c**2 in the form x + a*c**2 + n*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 2*c - 6, -41 = -5*a + 4*c. Solve -n = 3*n - a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 569? (a) 2 (b) 145858 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -5844, -11641, -17438, -23235, -29032?\n\"Answer: -5797*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by -3284.\nAnswer: 9\/3284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -682032017*g + 682032017*g - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 292428.\nAnswer: 2, 3, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 33 divided by 1275959?\nAnswer: 33\/1275959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 217 - 7?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -17586, -35162, -52738, -70314?\n\"Answer: -17576*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 74 + 26 = 0. Calculate the lowest common multiple of g and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -7 + (6 + 1 - -25). Let r(y) = y**2 - 5*y - 26. Let o be r(9). Suppose -o*j = -4*j - 30. What is the highest common factor of j and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -32238*d**4*t*y + 2*d**4 + 5*d**2*t - 3*d*y + 403*t*y wrt d.\nAnswer: -773712*d*t*y + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the second derivative of 0 - 20\/3*u**3 - 4*u**2 + 14*u. Is 14 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -391*d - 944*d - 14*d - 403*d.\nAnswer: -1752*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -2774*b + 85932. Give y(31).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3\/71 + 26\/1065. Let n be (-2*1)\/((-4)\/2). Which is greater: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - ((0 - 1) + -6 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (sqrt(1152) - (1 + sqrt(1152))) - sqrt(1152)*1*-3) + 5*(2*sqrt(384))\/sqrt(3))**2.\nAnswer: -1520*sqrt(2) + 46233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 - (1 + 2\/(-5)). Suppose -s = p - 12, -2*p + 100 = 3*p - 5*s. Let v be (10\/(-15))\/(p\/6). Which is the closest to f? (a) -0.4 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*v = 8*v - 7. Let s(f) = -f**3 - 6*f**2 + 5*f - 8. Calculate s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v**3\/8 + 569*v**2\/8 - 9864*v - 72576 = 0. Calculate v.\nAnswer: -7, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -r - 2*r, -w + 5*r = 30. Let d be 2 + 4\/(-2) + 2. Sort w, -4, -2, d in increasing order.\nAnswer: w, -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2, -0.255, -0.2, -0.4, 1467?\nAnswer: 1467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 846264 is divided by 76898.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 5, x: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -23476 by 10.\nAnswer: -11738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -325*d - 14. Let h be a(-1). Suppose 10*b - h = 2929. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1.29 or -42409?\nAnswer: -42409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-3 - -5)) + 15 + 32\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**3 - 14*j**2 + 20. Calculate s(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 46142466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1048.03 and -99?\nAnswer: -103754.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1494327173 to the power of 1\/2, to the nearest integer?\nAnswer: 38657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2377*v*w - 660*v + 1 with respect to w.\nAnswer: 2377*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 56849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -5326960 * 10.\nAnswer: -53269600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 1052*z + 5255. Let f be a(-5). Let j(x) be the second derivative of -x**3\/2 - 4*x**2 + x. Give j(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -93 + 95. Let m be 36\/20 + h\/10. Suppose -4*n = -5*c - 48 - 4, -4*c = -16. Solve 3*a - r = 3*r - 17, n = -m*a + 4*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-4) + 766\/(-4). Is 2 + -3 - (0 + c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1522608998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -38, -65, -102, -155, -230, -333, -470?\n\"Answer: -a**3 + a**2 - 23*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + 3 + 3. Let h be (1\/(-3))\/((-11)\/(-33)). Let z be 2\/1 + h + q. What is the highest common divisor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 - 11*d**2 + 11*d + 9. What are the prime factors of s(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -113281 by 199.\nAnswer: -113281\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 69049 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36839 is divided by 1054?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/(-8))\/(2\/8). Suppose 15 = -42*u + 57. Sort 2, v, 0, u in increasing order.\nAnswer: v, 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*n - 348 = 10*n. Suppose -30*s = -n*s - 100. Calculate the highest common factor of 60 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 19237 = 808*b - 803*b, -5*b + 4828 = v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 11. Let f(m) = -m**2 - 6*m - 2. Let n be f(b). Find the second derivative of -2*y**5 + y**5 - n*y + y wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -5, 18, 69, 160, 303, 510?\n\"Answer: 2*f**3 + 2*f**2 + 3*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 22504460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/12*1075)\/(2\/(-16)). What is f rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-36)\/180 - (-1)\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 26\/65 - 4\/10. Suppose k*o = -o - 4*q, o - 5*q - 9 = 0. Factor -12*n - 6 - 10 + 24*n + o*n**2.\nAnswer: 4*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -5*t + 72. Suppose t*w = 5*w + 1425. What are the prime factors of w?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - -1) + (3 - 1) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + m = -48. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50 and 7030.\nAnswer: 35150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 14 + 8*m - 3*m + 7*m - 991*m**2 + 2812*m**2. Is g(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 32.4 + 2.6. Let w = r - 34.99999901. What is w rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3772*d + 11452 = -3770*d. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -5*h. Determine s(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -300 - -299. What is the third smallest value in -1\/6, l, 2\/3, 30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 349366 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 h when three letters picked without replacement from {h: 9, b: 2, e: 4, f: 1}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 8. Let o(z) = -z - 6. Let s(l) = -o(l) - r(l). Let c(b) = 2*b - 3. Give -4*c(a) + 7*s(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6609 less than 1554.24?\nAnswer: 1553.5791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 620 and 62?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 14871*t + 4515 = 14570*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 + f. Let n be c(-4). Suppose 0 = -i - 6. Let p(w) = w**2 + 6*w + 4. Let s be p(i). Solve -s - n = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -69158\/7 and -9879 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, c: 8, f: 2, e: 4}. What is prob of picking 1 c and 2 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (61 - 7*l - 61)*(0 - 2 + 1).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/2 + (-5)\/(-2). Let r = -536\/777 - -22\/37. What is the closest to f in 0.3, r, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 17*u**2 - 41*u**2 - 183*u**3 - 29*u**2 + 23*u**2 in the form l*u + i + w*u**2 + b*u**3 and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 156.4 - 156. Suppose 0 = -5*t - 5*g + 40, g = 2*t + 2*g - 20. Suppose -3*u + 20 = 2*s, 0*s + 4*u = s + t. Put -1\/4, m, s, -1\/2 in increasing order.\nAnswer: -1\/2, -1\/4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -63 less than or equal to 4\/159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 444006*d - 7. Let v(n) = -n**2. What is a(v(w))?\nAnswer: -444006*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j + 6. Let r be w(-10). Suppose -484 = -0*p - 4*p. Suppose 3*l - p - 263 = 0. Calculate the highest common factor of l and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -212, -468, -724?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0744277 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q. Suppose 5*s + 25 = 0, 3*r - s = -47 - 53. Suppose -5*i - 56 = 89. Let v = r - i. Calculate d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, o: 2, u: 1, i: 1}. What is prob of picking 1 i and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 11859512 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.18 minus 23752217.02?\nAnswer: -23752216.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h**2 + 3*h**2 - 3*h**2)*(0 - 3 + 5) + 0 + 0 - 2*h**2 + 8*h**2 - 4*h**2 + 7*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*o - 821 - 660 + 1073 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 22 = 5. Suppose 0 = w*x - 10*x. Suppose x = b - 5*b + 28. Solve 0 = 3*s - b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.6 + -0.4. Suppose 77 - 97 = -4*h. Let l be ((-8)\/16)\/((-2)\/(h - 1)). Sort -5, -4, l, m in descending order.\nAnswer: l, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (144\/56)\/(1\/21). What is the lowest common multiple of 28\/(4 + 3) + x and 14?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-33820)\/(-570))\/((-1)\/3)*((-42)\/(-7))\/12?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ph when two letters picked without replacement from phhhhshshshshsphisss?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(-18)*48\/90.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**4\/7 - 348*p**3\/7 - 73062*p**2\/7 - 3409068*p\/7 - 49416357\/7.\nAnswer: 3*(p - 239)*(p + 41)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1524 + -794. Suppose -19*y + 1094 = -j. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12190 + -7443. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*g - 842 + 17 = -245 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the third derivative of -39*d**4\/8 + 324*d**2 + 2. Let l(p) = -10*p**2. What is l(h(g))?\nAnswer: -136890*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -1364049.32 to the nearest 100.\nAnswer: -1364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be -12*((-9)\/(-6) + -2). Suppose -2*n = 4*w - 110, t*n - 15 = n. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (((1*sqrt(108) - sqrt(108))*2 - (-1*sqrt(108) + -1 + sqrt(108))) + 2)**2 + (6*(sqrt(108) + -5 + sqrt(108)*3 + sqrt(108)) + 2)**2.\nAnswer: -10080*sqrt(3) + 97997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -108*y + 147*y + 11470 = -331*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2\/6 - 0) + 1111\/(-3333). Let n(t) = -2*t - 5. Let l be n(-6). Solve -l*r + 1 - 22 = j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 304?\nAnswer: -3\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.09*-2.3.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1477, 1680, 1883?\n\"Answer: 203*i + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208) - (sqrt(208) - ((sqrt(208) + 1*sqrt(208) + sqrt(208))*5 + sqrt(208))**2)) + 1 - 1*sqrt(208)*3*5.\nAnswer: -60*sqrt(13) + 53249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 369761176 to the nearest integer?\nAnswer: 19229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3652451657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -14, -36, -58, -80, -102?\n\"Answer: -22*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*o - 23*o + 2*o + 0*o + 5*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 7*f - 1. Let i(l) = -4*l - 1. Let h(a) = -5*i(a) - 2*q(a). What is h(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -330*b = -280*b - 2136000. List the prime factors of b.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -3572.1 - 6.791206\nAnswer: -3578.891206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -4) + 2 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -109, -228, -575, -1270, -2433, -4184, -6643, -9930?\n\"Answer: -20*l**3 + 6*l**2 + 3*l - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*q - 106*q - 2*g = -58928, 3*q + g = 176749. What are the prime factors of q?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 5*q + 17. What is w(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -10*w + 192. Let o be j(16). Let c = o + 217. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 26835629?\nAnswer: -1\/26835629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 65401\/2700 + -1169\/50. Find the common denominator of q and 7\/486.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**31)**(8\/19) assuming v is positive.\nAnswer: v**(248\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the second derivative of -g**3\/2 + g**2\/2 + 5*g. Let n = 0 + 2. Let c(b) = -1. Give n*c(y) + d(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14539.61646 - 14734.09. Let w = 346.47353695 + o. Let z = w - 152. Round z to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1444234 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -215 - -218. Solve -v*c + 40 = 7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14.34 - -124.06. Let r = g - 126. Round r to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - 1012221001?\nAnswer: -1012220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4484 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.02213484584 - -85.6.\nAnswer: 85.62213484584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 6*(3496\/(-399) + (-110)\/(-77))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43075 is divided by 99?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 850496 times -8?\nAnswer: -6803968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + z - 4*z = 379, -5*z - 144 = -2*v. Calculate the remainder when v is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s - 5. Let u be -1 - 0\/(3 - 1). Let f be ((-6)\/(-4) + u)*2. Suppose -7 + f = l. What is t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22016.71 rounded to the nearest 100?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21406 + 7109 = 15*q. Let u = q - 1241. What are the prime factors of u?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -322502540 (base 6) in base 15?\nAnswer: -783383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 52\/6 + (-2)\/3. Let o(k) = -8 - 8*k - 8*k**2 + 21*k**2 - 7*k**2 - 6. Let f(h) = 4*h**2 - 5*h - 9. What is n*f(x) - 5*o(x)?\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6310*m**2*u + 71*m*u + 25*m wrt m.\nAnswer: 12620*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 28 = -o, 5*c + 7 = 2. Let v be (40\/o)\/(4\/(-10)). Solve -f = -5*r - 30, -2 = v*f - r - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -490, -1961, -4404, -7813, -12182, -17505, -23776?\nAnswer: -30989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*l - 8 = 9*l. Let v(d) be the second derivative of 1\/18*d**4 - l*d + 1\/27*d**3 + 1\/135*d**6 + 0 + 0*d**2 + 1\/30*d**5. Factor v(a).\nAnswer: 2*a*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -226853 - -124493. Round f to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1669608*b*v**4 + 1150794*b - v**4 - v wrt v?\nAnswer: 6678432*b*v**3 - 4*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -945, 5\/7, 1, -0.3, -0.1, -18?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 + 17 - 9)*(2 + 3 - 4)*(-z**2 + 0*z + 0*z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.5, -0.1, -4, -75, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 27288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3379 - 2412. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 22339, 21807, 21273, 20737?\n\"Answer: -y**2 - 529*y + 22869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 834 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 8 = 2*x, 3*x = 12*v - 13 + 55 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * 1231\nAnswer: 369.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**2 + 35*q - 76. Let n(d) = d**3 + 11*d**2 + 3*d - 39. Let s be n(-10). Let k be a(s). Calculate the highest common factor of 144 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 4*t = 3 - 2, t - 5 = 4*n. Let z = -35 - -25. Let c = z + 8. Is n smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -705*i**3 - 692*i**3 + 2850*i**3 - 1450*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9 + 11. Let w(t) be the third derivative of 0*t**4 - 1\/60*t**6 + 0*t**3 + 0*t - 1\/30*t**5 - t**j + 0. What is the third derivative of w(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(2*sqrt(171) + sqrt(19) + sqrt(19))*2)**2 + 3 + 4 + -1 + sqrt(1539).\nAnswer: 9*sqrt(19) + 43782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116824 is divided by 3157?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, f: 4}. What is prob of sequence eeef?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 PM and 10:01 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -9*q - 22. List the prime factors of u(-12).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -30127.33 times -0.061\nAnswer: 1837.76713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/1*4\/12. Suppose -4*i + 12 = -8*i, -9 = 3*m + 5*i. Suppose -q - 2 = m. Sort y, 4, q in decreasing order.\nAnswer: 4, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.1 + -1.14. What is w rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 38 + -16. Suppose 0 = 3*k - 15, -4*s + i = -k - 93. Suppose 2*m + 3*m + s = 2*z, 4*z = 4*m + 24. Let b(l) = -3*l - 8. Determine b(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/2188 and -91\/3106.\nAnswer: 3397964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4 and 3799622.\nAnswer: 7599244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 10:17 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -131*z + 171*z = -49*z + 178. Factor -19\/4*v**z - 9\/4*v**3 + 0 - 5\/2*v.\nAnswer: -v*(v + 1)*(9*v + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*n**6 - 72*n**2 wrt n?\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/465 and 53\/48426309.\nAnswer: 242131545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 591, -149, -1, 40.\nAnswer: -149, -1, 40, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -471 or -1199.42?\nAnswer: -471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 96 and 6288.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 8449.971 millimeters to micrometers.\nAnswer: 8449971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3980763.\nAnswer: 3, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3*((-36)\/((-288)\/(-24)))\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 95058.\nAnswer: 2, 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**4 - 3137*c**3 - 5036*c**2 + 2516*c.\nAnswer: c*(c - 629)*(c + 2)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -34 + 376\/11. Let c = -0.06 + -4.94. What is the nearest to -3\/4 in j, 4, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -40 - -64. Let b = 25 - x. Is 2\/5 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 11:47 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9, 14, 23, 36, 53, 74, 99?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 12) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -32122865, -64245728, -96368591, -128491454?\n\"Answer: -32122863*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(539) - (4 + 2 + sqrt(539) - sqrt(539)))**2.\nAnswer: -420*sqrt(11) + 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(320)*1 + sqrt(320) + -2*sqrt(320)*2)\/((sqrt(4) - (sqrt(4) + sqrt(16))*-2) + sqrt(28)\/sqrt(448)).\nAnswer: 32*sqrt(5)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Do -2 and 21.82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and 0.021849859.\nAnswer: -0.087399436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -99.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssvschsshccshggsccgs. What is prob of picking 3 c and 1 g?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -142*i**3 + 4*i**2 - 6*i. Let q(w) = -709*w**3 + 19*w**2 - 34*w. Calculate 2*q(u) - 11*z(u).\nAnswer: 144*u**3 - 6*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75 is divided by 4\/14 + 131\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((2 + sqrt(2736))*4 + 2*2*sqrt(2736)))**2.\nAnswer: 24576*sqrt(19) + 2802688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 169960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -38889 + 38995. Solve -97*q = -o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -q + 3. Suppose 3 = -q*m + 11. Let o(n) = -n + 2*n**m - n**3 + 3*n - 8*n**2 + 9. What is o(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25 + -25. Suppose -6*f - 1 + 25 = m. Suppose -4*n + 0*n + j + 3157 = 0, 5*j + 3161 = f*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 2*h - 443, 446 = -43*t + 42*t + h. Let o = t + 449. Which is the nearest to 0? (a) 2 (b) -0.051 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 6:24 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 248 + -260. What is the smallest value in 2\/11, m, 3\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -z**2 - 5*z**2 + 0*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:54 AM and 10:41 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - t - 53580, r - 3*t - 17868 = -0*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 718914.7 millilitres to litres.\nAnswer: 718.9147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -625 = -4*l - 1. Suppose 2*a - l = -5*m, -a = 3*m + m - 84. Suppose 3 = -5*v + a. Calculate the greatest common divisor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-7\/4)*f)\/f**0*f**2\/(f**(-1\/6)\/f) assuming f is positive.\nAnswer: f**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - ((-5)\/3)\/((-5980)\/(-4320) + (-60)\/48).\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*y**2 + 6*y**2 - 3*y - 3*y**2)*(-y**3 - 3*y**3 - 2*y**3).\nAnswer: 18*y**5 + 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 + -5.43. Let b = 88.57 - q. Let f = b + -86.99923. What is f rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -160090890 rounded to the nearest 100000?\nAnswer: -160100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 3*m - 17. Let a be k(7). Solve 5*i - 4*x = -8, 10 = -i + a*i + 5*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31999737888114 take away -6?\nAnswer: -31999737888108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 98 and 69884?\nAnswer: 3424316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*a**2 + 1493006367 + 4223*a**3 + 0*a**2 - a - 1493006367.\nAnswer: 4223*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -82.\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1454 and 44846449?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13370?\nAnswer: 2, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.07, 4\/3, -5, -1\/5.\nAnswer: -5, -1\/5, 0.07, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 422 + 8 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 + 12*x**2 + 3. Let k be 7*1 - (2 - 0). Let i be j(k). Let t = i + -125. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes before 9:39 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28857778 - -0.1.\nAnswer: 28857778.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the third derivative of 0*n - 3*n**2 + 0*n**3 - 1\/12*n**4 + 0*n**7 + 0*n**6 + 0*n**5 - 1\/336*n**8 + 0. What is the second derivative of t(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8793 + -8951. Which is the nearest to k? (a) 6\/7 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a, 1 d, and 1 j when four letters picked without replacement from uaaaajadaaaaaaaja?\nAnswer: 39\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*d - 29*d = 2*l - 178, -d = 4*l + 1 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -83644386 + 1672480531\/20. Let o = 20355 + w. Calculate the common denominator of o and -79\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, -126, 9 in descending order.\nAnswer: 23, 9, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 14428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n. Let g(l) = l + l + l + 0. Let j = -69 + 65. Let i(x) = j*u(x) + 2*g(x). Let h(v) = -3*v**2. Determine h(i(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1, 18, 1 in descending order.\nAnswer: 18, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 141, 507, 1117, 1971, 3069?\n\"Answer: 122*d**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7016, -7004, -6992, -6980, -6968?\nAnswer: -6956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4666053 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -415038.6 to the nearest 1000.\nAnswer: -415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n + 9. Let d be c(7). Suppose -2 = -0*f - d*f. Suppose -x - 9 = -4*g + 4*x, 29 = -g - 5*x. Put -5, g, f in descending order.\nAnswer: f, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1 - j**4 + (-1 + 3 + 0)*(0*j**4 + 3*j**4 + j**4) as z*j**3 + a*j**4 + b*j**2 + y*j + f and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*g - 35*g**3 - 9*g + 13*g to the form f + r*g + u*g**2 + z*g**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*f + 0*f - 4*f**2 + (0 - 2 + 3)*(-2*f + 2*f + f**2) - 1126*f - 34*f**2 + 1126*f.\nAnswer: -37*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.035892514972 plus 0.1?\nAnswer: 0.064107485028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -106 * 0.05.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -48*t**3 + 139642*t**2 - 101366720*t - 284071424 = 0. What is t?\nAnswer: -67\/24, 1456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 230 divide 6099071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -849 + 838 + -5 + 2 + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d\/d**(-22\/7)*d\/d**(3\/32))\/(d\/(d\/(d**28*d))*d**(1\/7)))**(-3\/19) assuming d is positive.\nAnswer: d**(2217\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 580 is divided by 112?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1365151 divided by -1.\nAnswer: -1365151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4 + -9 + (-1)\/1. Let r(p) = p + 8. Let v be r(a). Solve -3*s + 10 = v*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 14*n - 290. What is j(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p - 3. Let f be j(6). Let c be 1\/(-1*4 + f). Does 14 divide ((-72)\/(-84))\/(c\/(-49))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -202 by 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -36 = 9*q - 15*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1, 31, 81, 151, 241, 351, 481?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -614*n + 64833 = -42003. What is the highest common divisor of 174 and n?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38*(-4)\/16*(-178 - 0)?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/15, 2, 0.1, 1\/12, -6 in descending order.\nAnswer: 2, 0.1, 1\/12, -2\/15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/((-54)\/(-6))*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**3 + 7*x**2 + x - 1. Let c be w(7). Is 131\/c + (-4)\/(-24) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 10*g = 3*u + 2, -g - 2*u - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 86 - 4*j**4 + 2*j**4 + j + 3*j**3 - 44 - 41 to p*j**3 + k*j**2 + y + l*j**4 + v*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2483 - 2492. What is the nearest to 2\/5 in l, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2c - -9d?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**4 + 3*o**4 - 3*o**4 + (-2 + 2 + o**3)*(-3*o + 3*o - o) + 0*o**4 - 8*o**4 + 3*o**4 + 4*o**4 - 2*o**4 - 3*o**4)*(-1 + o + 1)*(2 - 5 + 2).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 PM and 3:13 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -2. Let l = 7 + -3. Let c be 5\/20*l\/5. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*c = 6*c - 198500000. What is c rounded to the nearest 100000?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1449, -2918, -4407, -5916, -7445?\n\"Answer: -10*y**2 - 1439*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 2 - 5 = 0, 2*c - 5*q = -9. Suppose 4*v - 2*v - 14 = 2*b, -c*v - b = -13. Solve -v*t + 30 = u, -u - 4*t + 8*t = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -3*q - 914 - 1105, -2*q = 5*u - 10078. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 78 - 232\/3. Let l = 1736\/11 - 158. What is the second biggest value in -5, -0.1, t, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, g: 1, t: 2, o: 1, b: 1, y: 1}. Give prob of sequence yto.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4945 - -4949. Which is the nearest to 1.5? (a) q (b) -2 (c) -3 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 652744 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + (-4)\/(-16) - 33\/(-12). Let f = 29 - g. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s**4 + 3*s**5 - 2*s**4 + 2 + s**5 - 2 + (0*s + 0*s + 2*s)*(-3*s**4 + 0*s**4 + 4*s**4) - 4*s**4 + 4*s**5 + 4*s**4.\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00010648 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/7)\/(22167\/(-1965474)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 8 + -15 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 90 = -5*y, 4*c = y - 5*y + 120. Suppose 3*i - c = -6. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2417 is divided by 200?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -342 + 262*v + 181*v + 635 - 292 as r + d*v and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1923\/8 - -240. Suppose 10 = -2*g + 2. Which is the second smallest value? (a) g (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10 - -40. Let l be (-10)\/25 + 44\/10. Suppose l*u - 66 = j. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n = -2*h - 15, -116347*h = -5*n - 116343*h - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4328 - -7?\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-3 + 1 + 4)*(z + z - z) + z - 1 + 1)*(5 - 1 - 2 + (1 + 1 + 0)*(-1 - 2 + 4) + 23 - 6 + 24) to the form q + t*z and give t.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-9)\/(189\/(-91)))\/(1\/(-3)). Put l, 9, 1 in descending order.\nAnswer: 9, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c + z - 9, -7*z + 12 = -3*c - 8*z. Let v be -14 + (1 - 2)\/(-1). Let t = c + v. Is t >= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 0, -120, -330, -636, -1044?\n\"Answer: -f**3 - 39*f**2 + 4*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = -4*d + 5*x, -2*d + 2*x - 7*x = 17. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -215263*y**3 - 9229*y**2 + 12.\nAnswer: -1291578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 5*p + 339 = 4*p, 3*p - 428 = -5*b. Calculate the highest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*p**5 + 22*p**4 - 5424*p**3\/7 + 10984*p**2\/7 + 1088*p + 1152\/7 = 0. Calculate p.\nAnswer: -9, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*d - 13143 + 112823 = 0. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of 10*k**3\/3 - 3*k**2\/2 + k - 4. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 146973 is divided by 1547.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -3\/5, -0.4, -588\/13, 0.2, -0.06, -1, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13 - 13. Suppose -3*v + 38 = j, 10*j - 106 = 8*j + 4*v. Calculate the remainder when j is divided by (14 - 1) + 3\/(-3 - f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 3, x: 4, w: 1, k: 1, b: 4, t: 1}. Give prob of picking 3 u and 1 b.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -58 + 76. Suppose -h*p + 19*p = 797. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -41 + 60. Let g = 20 + f. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-48)\/(-21) + 6\/(-3). Which is the third smallest value? (a) p (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 13 = 1. Suppose -o + t = -2*t + 1165, 3*t = b*o + 4615. Let l = -803 - o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 AM and 6:03 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = h + 20. Let l = 5 + 5. Let q = -10 + l. Which is the second biggest value? (a) q (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1411 - 200?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*r**2 + 2*r**3 - 3*r**2 + 3*r**3 - r**3 - 3*r**3 + (-6*r**2 + 3*r**2 + 2*r**2)*(-2*r - 5 + 5) + (3*r - r - r)*(-219 + 35*r - 123*r**2 + 148 + 71).\nAnswer: -120*r**3 + 35*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7844171449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -41 (base 6) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, g: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6568*y**3 + 17439*y**2 wrt y?\nAnswer: 39408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 20\/6*(-118 + 7). Let f = -1906\/5 - i. Find the common denominator of 6\/7 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 409292 at least 409291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 17 + 1 = 4*c, 5*c = 4*f + 19. Let x = f - -8. Let n(v) = -2 + 2 - x*v. Let r(l) = -2*l. Determine n(r(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}